Common Core Georgia Performance Standards Mathematics Grades Adopted Reason quantitatively and use units to solve problems.

Size: px
Start display at page:

Download "Common Core Georgia Performance Standards Mathematics Grades Adopted Reason quantitatively and use units to solve problems."

Transcription

1 , VersaTiles (R), High School Level, Book 2, VersaTiles (R), High School Level, Book 3,, VersaTiles (R), High School Level, Book 5 Grades: 9, 10, 11, 12 State: Georgia Common Core Standards Subject: Mathematics Publisher: ETA hand2mind GA.CC.MP. GA.CC.9-12.N. MCC9-12.N.Q. EXPECTATION MCC9 12.N.Q.1. Mathematical Practices Common Core Georgia Performance Standards Mathematics Grades Adopted 2011 The Standards for Mathematical Practice reflect various forms of expertise and mathematical habits of mind that students develop throughout their mathematics education. VersaTiles is designed to help students become more fluent and more efficient in various mathematical skills (e.g., computational algorithms, applications of formulae, mathematical vocabulary). While there will be opportunities for teachers to elicit evidence of the Standards for Mathematical Practice if they extend VersaTiles activities into class discussions, math journals, or other formats, the activities themselves are designed primarily as skill practice. Thus, the correlation presented here shows coverage of the mathematics content standards. Number and Quantity Quantities Reason quantitatively and use units to solve problems. Use units as a way to understand problems and to guide the solution of multi step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. GA.CC.9-12.A. MCC9-12.A.CED. VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Areas and Perimeter Formulas) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 24 (Those Changing Dimensions) Algebra Creating Equations Create equations that describe numbers or relationships EXPECTATION MCC9 12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. : Structure & Proof, page (Using Algebra with Parallel EXPECTATION MCC9 12.A.CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. : Structure & Proof, page (Using Algebra with Parallel : Connecting Algebra &, page (Slope and EXPECTATION MCC9 12.A.CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

2 GA.CC.9-12.A. MCC9-12.A.REI. EXPECTATION MCC9 12.A.REI.1. : Structure & Proof, page (Using Algebra with Parallel Algebra Reasoning with Equations and Inequalities Understand solving equations as a process of reasoning and explain the reasoning Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. GA.CC.9-12.A. MCC9-12.A.REI. EXPECTATION MCC9 12.A.REI.3. : Structure & Proof, page (Using Algebra with Parallel Algebra Reasoning with Equations and Inequalities Solve equations and inequalities in one variable Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. GA.CC.9-12.F. MCC9 12.F.IF. EXPECTATION MCC9 12.F.IF.6. : Structure & Proof, page (Using Algebra with Parallel Functions Interpreting Functions Interpret functions that arise in applications in terms of the context Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. GA.CC.9-12.F. MCC9 12.F.IF. EXPECTATION MCC9 12.F.IF.7. GRADE MCC9 12.F.IF.7a. EXPECTATION GA.CC.9-12.F. MCC9 12.F.BF. EXPECTATION MCC9 12.F.BF.1. : Connecting Algebra &, page 04 (Slippery Slopes) : Connecting Algebra &, page (Slope and : Connecting Algebra &, page 21 (Quadrilateral Query) : Connecting Algebra &, page (Polygon Functions Interpreting Functions Analyze functions using different representations Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph linear and quadratic functions and show intercepts, maxima, and minima. : Connecting Algebra &, page 24 (Parabolic Functions Building Functions Build a function that models a relationship between two quantities Write a function that describes a relationship between two quantities.

3 GRADE MCC9 12.F.BF.1a. EXPECTATION GA.CC.9-12.F. MCC9 12.F.TF. EXPECTATION MCC9 12.F.TF.3. Determine an explicit expression, a recursive process, or steps for calculation from a context. : Structure & Proof, page (Using Algebra with Parallel Functions Trigonometric Functions Extend the domain of trigonometric functions using the unit circle (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π x, π + x, and 2π x in terms of their values for x, where x is any real number. MCC9-12.G.CO. EXPECTATION MCC9 12.G.CO.1. VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine, Cosine, and Tangent Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13 (Trigonometric Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Angles of Elevation and Depression) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of Congruence Experiment with transformations in the plane Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. : Structure & Proof, page 01 (Terms of ) : Structure & Proof, page 02 (What Kind of Lines?) : Structure & Proof, page 03 (Angle Measures) : Structure & Proof, page (Aren't These Angle Pairs Special?) : Structure & Proof, page (Using Algebra with Parallel : Structure & Proof, page 08 (All About Angles) : Structure & Proof, page 09 (Angle Pairs) : Structure & Proof, page (Moving Around) : Structure & Proof, page (Converse, Inverse, and Contrapositive) : Structure & Proof, page 14 (Let the Truth Be Told) : Structure & Proof, page 15 (Conditionals and Logical Equivalents) : Structure & Proof, page (Laws of Logic and Indirect Proof) : Structure & Proof, page 18 (Name That Triangle) : Structure & Proof, page 19 (They're all 180 Degrees) : Structure & Proof, page 20 (Altitudes, Bisectors, and Medians) : Structure & Proof, page 21 (Triangle Relationships) : Structure & Proof, page (Medians, Altitudes, and Bisectors) : Structure & Proof, page 24 (Special Quadrilaterals) VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 01 (To Be or Not To Be a Triangle?) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Opposites Attract) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Proving Triangles Congruent)

4 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 07 (Oh, So Similar) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 08 (The Pythagorean Theorem) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 09 (Proportional Segments) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Geometric Mean) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine, Cosine, and Tangent Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13 (Trigonometric Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Special Right Triangles) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Angles of Elevation and Depression) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 19 (Angles in Polygons) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Congruent and Similar Polygons) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Areas and Perimeter Formulas) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 24 (Those Changing Dimensions) VersaTiles (R), High School Level, Book 3 VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 01 (Naming Three-Dimensional Figures) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Nothing but Net) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Where Should We Meet?) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 06 (Euler's Formula) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 07 (Volume of Prisms) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Volume of Pyramids) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 10 (Volume of Cylinders) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 11 (Volume of Cones) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Surface Area of Prisms and Cylinders) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Surface Area of Pyramids and Cones) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 16 (On the Ball) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 17 (Surface Area and Volume of Spheres) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Congruent and Similar Solids) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Cavalieri's Principle) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Out and About) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 24 (Dynamic Dimensions) : Connecting Algebra &, page 01 (Point It Out) : Connecting Algebra &, page 02 (Halfway There) : Connecting Algebra &, page 03 (The End Is in Sight) : Connecting Algebra &, page 04 (Slippery Slopes) : Connecting Algebra &, page 05 (Linear Relationships) : Connecting Algebra &, page (Slope and : Connecting Algebra &, page (Distance Formula) : Connecting Algebra &, page (Around the Edge) : Connecting Algebra &, page (Areas of Rectangles and Triangles) : Connecting Algebra &, page 14 (Translations) : Connecting Algebra &, page 15 (Reflections) : Connecting Algebra &, page (Rotations)

5 : Connecting Algebra &, page (Dilations) : Connecting Algebra &, page 20 (Double : Connecting Algebra &, page 21 (Quadrilateral Query) : Connecting Algebra &, page (Polygon : Connecting Algebra &, page 24 (Parabolic EXPECTATION MCC9 12.G.CO.2. VersaTiles (R), High School Level, Book 5 VersaTiles (R), High School Level, Book 5: Circles & Probability, page 01 (Parts of Circles) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Circumference and Area of Circles) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Around the Bend) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Segment Lengths) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Angle Properties) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Arc and Angle Measures) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Triangle Similarity) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (A Round of Graphing) VersaTiles (R), High School Level, Book 5: Circles & Probability, page 16 (Equations of Circles) VersaTiles (R), High School Level, Book 5: Circles & Probability, page 17 (Circle Graphs and Central Angles) VersaTiles (R), High School Level, Book 5: Circles & Probability, page 18 (Independent Events) VersaTiles (R), High School Level, Book 5: Circles & Probability, page 19 (That Depends) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Is That Fair?) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Geometric Probability) VersaTiles (R), High School Level, Book 5: Circles & Probability, page 24 (Permutations and Combinations) Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). : Structure & Proof, page (Moving Around) EXPECTATION MCC9 12.G.CO.3. : Connecting Algebra &, page 14 (Translations) : Connecting Algebra &, page 15 (Reflections) : Connecting Algebra &, page (Rotations) : Connecting Algebra &, page (Dilations) : Connecting Algebra &, page 20 (Double Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. : Structure & Proof, page (Moving Around) EXPECTATION MCC9 12.G.CO.4. : Connecting Algebra &, page 15 (Reflections) : Connecting Algebra &, page (Rotations) : Connecting Algebra &, page 20 (Double Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. : Structure & Proof, page (Moving Around) : Connecting Algebra &, page 14 (Translations) : Connecting Algebra &, page 15 (Reflections) : Connecting Algebra &, page (Rotations) : Connecting Algebra &, page 20 (Double

6 EXPECTATION MCC9 12.G.CO.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. : Structure & Proof, page (Moving Around) MCC9-12.G.CO. EXPECTATION MCC9 12.G.CO.6. : Connecting Algebra &, page 14 (Translations) : Connecting Algebra &, page 15 (Reflections) : Connecting Algebra &, page (Rotations) : Connecting Algebra &, page 20 (Double Congruence Understand congruence in terms of rigid motions Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. : Structure & Proof, page (Moving Around) EXPECTATION MCC9 12.G.CO.7. : Connecting Algebra &, page 14 (Translations) : Connecting Algebra &, page 15 (Reflections) : Connecting Algebra &, page (Rotations) : Connecting Algebra &, page (Dilations) : Connecting Algebra &, page 20 (Double Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Proving Triangles Congruent) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC) EXPECTATION MCC9 12.G.CO.8. : Connecting Algebra &, page (Polygon Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. MCC9-12.G.CO. EXPECTATION MCC9 12.G.CO.9. VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Proving Triangles Congruent) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Congruent and Similar Polygons) Congruence Prove geometric theorems Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment s endpoints.

7 : Structure & Proof, page (Aren't These Angle Pairs Special?) : Structure & Proof, page (Using Algebra with Parallel : Structure & Proof, page 08 (All About Angles) VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 09 (Proportional Segments) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Geometric Mean) EXPECTATION MCC9 12.G.CO.10. Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. GA.CC.9-12.G. MCC9-12.G.CO. : Structure & Proof, page 19 (They're all 180 Degrees) : Structure & Proof, page 20 (Altitudes, Bisectors, and Medians) : Structure & Proof, page 21 (Triangle Relationships) : Structure & Proof, page (Medians, Altitudes, and Bisectors) VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 01 (To Be or Not To Be a Triangle?) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Opposites Attract) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Proving Triangles Congruent) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 07 (Oh, So Similar) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Geometric Mean) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Special Right Triangles) Congruence Make geometric constructions EXPECTATION MCC9 12.G.CO.12. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. MCC9-12.G.SRT. EXPECTATION MCC9 12.G.SRT.1. : Structure & Proof, page 20 (Altitudes, Bisectors, and Medians) Similarity, Right Triangles, and Trigonometry Understand similarity in terms of similarity transformations Verify experimentally the properties of dilations given by a center and a scale factor: GRADE MCC9 12.G.SRT.1a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing EXPECTATION through the center unchanged. : Connecting Algebra &, page (Dilations) : Connecting Algebra &, page 20 (Double

8 GRADE MCC9 12.G.SRT.1b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor. EXPECTATION MCC9-12.G.SRT. EXPECTATION MCC9 12.G.SRT.2. : Connecting Algebra &, page (Dilations) : Connecting Algebra &, page 20 (Double Similarity, Right Triangles, and Trigonometry Understand similarity in terms of similarity transformations Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. : Structure & Proof, page 21 (Triangle Relationships) : Structure & Proof, page (Medians, Altitudes, and Bisectors) VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 07 (Oh, So Similar) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Geometric Mean) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Congruent and Similar Polygons) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 24 (Those Changing Dimensions) VersaTiles (R), High School Level, Book 3 VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Congruent and Similar Solids) : Connecting Algebra &, page (Polygon MCC9-12.G.SRT. EXPECTATION MCC9 12.G.SRT.4. VersaTiles (R), High School Level, Book 5 VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Triangle Similarity) Similarity, Right Triangles, and Trigonometry Prove theorems involving similarity Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. EXPECTATION MCC9 12.G.SRT.5. : Structure & Proof, page 21 (Triangle Relationships) : Structure & Proof, page (Medians, Altitudes, and Bisectors) Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. : Structure & Proof, page 21 (Triangle Relationships) : Structure & Proof, page (Medians, Altitudes, and Bisectors) VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Proving Triangles Congruent)

9 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 07 (Oh, So Similar) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Geometric Mean) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Congruent and Similar Polygons) : Connecting Algebra &, page (Polygon MCC9-12.G.SRT. EXPECTATION MCC9 12.G.SRT.6. VersaTiles (R), High School Level, Book 5 VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Triangle Similarity) Similarity, Right Triangles, and Trigonometry Define trigonometric ratios and solve problems involving right triangles Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. EXPECTATION MCC9 12.G.SRT.7. VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 08 (The Pythagorean Theorem) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine, Cosine, and Tangent Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13 (Trigonometric Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Special Right Triangles) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Angles of Elevation and Depression) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of Explain and use the relationship between the sine and cosine of complementary angles. EXPECTATION MCC9 12.G.SRT.8. VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine, Cosine, and Tangent Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13 (Trigonometric Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Angles of Elevation and Depression) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. GA.CC.9-12.G. MCC9-12.G.SRT. VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 08 (The Pythagorean Theorem) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine, Cosine, and Tangent Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13 (Trigonometric Ratios) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Special Right Triangles) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page (Angles of Elevation and Depression) VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of Similarity, Right Triangles, and Trigonometry

10 Apply trigonometry to general triangles EXPECTATION MCC9 12.G.SRT.10. (+) Prove the Laws of Sines and Cosines and use them to solve problems. VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of EXPECTATION MCC9 12.G.SRT.11. (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non right triangles (e.g., surveying problems, resultant forces). MCC9-12.G.C. EXPECTATION MCC9 12.G.C.2. VersaTiles (R), High School Level, Book 2 VersaTiles (R), High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of Circles Understand and apply theorems about circles Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. EXPECTATION MCC9 12.G.C.4. VersaTiles (R), High School Level, Book 5 VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Segment Lengths) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Angle Properties) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Arc and Angle Measures) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Triangle Similarity) VersaTiles (R), High School Level, Book 5: Circles & Probability, page 17 (Circle Graphs and Central Angles) (+) Construct a tangent line from a point outside a given circle to the circle. VersaTiles (R), High School Level, Book 3 VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 16 (On the Ball) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 17 (Surface Area and Volume of Spheres) MCC9-12.G.C. EXPECTATION MCC9 12.G.C.5. VersaTiles (R), High School Level, Book 5 VersaTiles (R), High School Level, Book 5: Circles & Probability, page 01 (Parts of Circles) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Segment Lengths) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Angle Properties) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Arc and Angle Measures) VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Triangle Similarity) Circles Find arc lengths and areas of sectors of circles Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. GA.CC.9-12.G. MCC9-12.G.GPE. VersaTiles (R), High School Level, Book 5 VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Around the Bend) Expressing Geometric Properties with Equations Translate between the geometric description and the equation for a conic section EXPECTATION MCC9 12.G.GPE.1. Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

11 VersaTiles (R), High School Level, Book 5 VersaTiles (R), High School Level, Book 5: Circles & Probability, page (A Round of Graphing) VersaTiles (R), High School Level, Book 5: Circles & Probability, page 16 (Equations of Circles) EXPECTATION MCC9 12.G.GPE.2. Derive the equation of a parabola given a focus and directrix. : Connecting Algebra &, page 24 (Parabolic EXPECTATION MCC9 12.G.GPE.3. (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. GA.CC.9-12.G. MCC9-12.G.GPE. VersaTiles (R), High School Level, Book 3 VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Where Should We Meet?) Expressing Geometric Properties with Equations Use coordinates to prove simple geometric theorems algebraically EXPECTATION MCC9 12.G.GPE.5. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). : Connecting Algebra &, page 05 (Linear Relationships) : Connecting Algebra &, page (Slope and : Connecting Algebra &, page 21 (Quadrilateral Query) : Connecting Algebra &, page (Polygon EXPECTATION MCC9 12.G.GPE.6. Find the point on a directed line segment between two given points that partitions the segment in a given ratio. : Connecting Algebra &, page 02 (Halfway There) : Connecting Algebra &, page 03 (The End Is in Sight) : Connecting Algebra &, page (Distance Formula) : Connecting Algebra &, page (Around the Edge) : Connecting Algebra &, page (Areas of Rectangles and Triangles) : Connecting Algebra &, page 21 (Quadrilateral Query) : Connecting Algebra &, page (Polygon EXPECTATION MCC9 12.G.GPE.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. : Structure & Proof, page (Moving Around) : Connecting Algebra &, page 02 (Halfway There) : Connecting Algebra &, page 03 (The End Is in Sight) : Connecting Algebra &, page (Distance Formula) : Connecting Algebra &, page (Around the Edge) : Connecting Algebra &, page (Areas of Rectangles and Triangles)

12 GA.CC.9-12.G. MCC9-12.G.GMD. : Connecting Algebra &, page 14 (Translations) : Connecting Algebra &, page 15 (Reflections) : Connecting Algebra &, page (Rotations) : Connecting Algebra &, page (Dilations) : Connecting Algebra &, page 20 (Double : Connecting Algebra &, page 21 (Quadrilateral Query) : Connecting Algebra &, page (Polygon : Connecting Algebra &, page 24 (Parabolic Geometric Measurement and Dimension Explain volume formulas and use them to solve problems EXPECTATION MCC9 12.G.GMD.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. GA.CC.9-12.G. MCC9-12.G.GMD. VersaTiles (R), High School Level, Book 3 VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 07 (Volume of Prisms) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Volume of Pyramids) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 10 (Volume of Cylinders) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 11 (Volume of Cones) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 17 (Surface Area and Volume of Spheres) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Cavalieri's Principle) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Out and About) VersaTiles (R), High School Level, Book 3: Three-Dimensions, page 24 (Dynamic Dimensions) Geometric Measurement and Dimension Visualize relationships between two dimensional and three dimensional objects EXPECTATION MCC9 12.G.GMD.4. Identify the shapes of two dimensional cross sections of three dimensional objects, and identify three dimensional objects generated by rotations of two dimensional objects. GA.CC.9-12.S. MCC9-12.S.CP. EXPECTATION MCC9 12.S.CP.2. VersaTiles (R), High School Level, Book 3 VersaTiles (R), High School Level, Book 3: Three-Dimensions, page (Where Should We Meet?) Statistics and Probability Conditional Probability and the Rules of Probability Understand independence and conditional probability and use them to interpret data Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. GA.CC.9-12.S. MCC9-12.S.MD. EXPECTATION MCC9 12.S.MD.6. VersaTiles (R), High School Level, Book 5 VersaTiles (R), High School Level, Book 5: Circles & Probability, page 18 (Independent Events) Statistics and Probability Using Probability to Make Decisions Use probability to evaluate outcomes of decisions (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). VersaTiles (R), High School Level, Book 5 VersaTiles (R), High School Level, Book 5: Circles & Probability, page (Is That Fair?)

The Common Core Georgia Performance Standards (CCGPS) for Grades K-12 Mathematics may be accessed on-line at:

The Common Core Georgia Performance Standards (CCGPS) for Grades K-12 Mathematics may be accessed on-line at: FORMAT FOR CORRELATION TO THE COMMON CORE GEORGIA PERFORMANCE STANDARDS (CCGPS) Subject Area: Mathematics Textbook Title: State-Funded Course: 27.09720 Analytic Geometry,, I Publisher: Agile Mind Standard

More information

CCGPS Curriculum Map. Mathematics. CCGPS Analytic Geometry

CCGPS Curriculum Map. Mathematics. CCGPS Analytic Geometry CCGPS Curriculum Map Mathematics CCGPS Analytic Geometry These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. Similarity, Congruence, and Proofs

More information

The focus of SECONDARY Mathematics II Critical Area 1: Critical Area 2: Critical Area 3: Critical Area 4: Critica l Area 5: Critical Area 6:

The focus of SECONDARY Mathematics II Critical Area 1: Critical Area 2: Critical Area 3: Critical Area 4: Critica l Area 5: Critical Area 6: The focus of SECONDARY Mathematics II is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Secondary

More information

Common Core State Standards for Mathematics Integrated Pathway: Mathematics I

Common Core State Standards for Mathematics Integrated Pathway: Mathematics I A CORRELATION OF TO THE Standards for Mathematics A Correlation of Table of Contents Unit 1: Relationships between Quantities... 1 Unit 2: Linear and Exponential Relationships... 4 Unit 3: Reasoning with

More information

Content Descriptions Based on the state-mandated content standards. Analytic Geometry

Content Descriptions Based on the state-mandated content standards. Analytic Geometry Content Descriptions Based on the state-mandated content standards Analytic Geometry Introduction The State Board of Education is required by Georgia law (A+ Educational Reform Act of 2000, O.C.G.A. 20-2-281)

More information

Math II. Number and Quantity The Real Number System

Math II. Number and Quantity The Real Number System MATHEMATICS Math II The high school mathematics curriculum is designed to develop deep understanding of foundational math ideas. In order to allow time for such understanding, each level focuses on concepts

More information

Utah Core State Standards for Mathematics Secondary Mathematics I

Utah Core State Standards for Mathematics Secondary Mathematics I A Correlation of Integrated Math I Common Core 2014 to the Utah Core State for Mathematics Secondary Resource Title: : Common Core Publisher: Pearson Education publishing as Prentice Hall ISBN (10 or 13

More information

Utah Integrated High School Mathematics Level II, 2014

Utah Integrated High School Mathematics Level II, 2014 A Correlation of Utah Integrated High, 2014 to the Utah Core State for Mathematics Utah Course 07080000100 Resource Title: Utah Integrated High School Math Publisher: Pearson Education publishing as Prentice

More information

SpringBoard Algebra 1 Correlations Crosswalk to New Louisiana Standards

SpringBoard Algebra 1 Correlations Crosswalk to New Louisiana Standards SpringBoard Algebra 1 Correlations Crosswalk SpringBoard Algebra 1 Correlations Crosswalk to New Louisiana Stards N: Number Quantity N: Number Quantity N: Number Quantity N: Number Quantity Domain Cluster

More information

SECONDARY MATHEMATICS I

SECONDARY MATHEMATICS I SECONDARY MATHEMATICS I The fundamental purpose of SECONDARY Mathematics I is to formalize and extend the mathematics that students learned in the middle grades. The critical areas, organized into units,

More information

Integrated Mathematics I, II, III 2016 Scope and Sequence

Integrated Mathematics I, II, III 2016 Scope and Sequence Mathematics I, II, III 2016 Scope and Sequence I Big Ideas Math 2016 Mathematics I, II, and III Scope and Sequence Number and Quantity The Real Number System (N-RN) Properties of exponents to rational

More information

Unit 0. Unit 1. OUHSD Mathematics Pacing Guide. OUHSD Mathematics Pacing Guide. Total Days 15. Total Days 23. Unit 0: Bridge to Math 1.

Unit 0. Unit 1. OUHSD Mathematics Pacing Guide. OUHSD Mathematics Pacing Guide. Total Days 15. Total Days 23. Unit 0: Bridge to Math 1. OUHSD Mathematics Pacing Guide Quarter 1 Unit 0: Bridge to Unit 0 Total Days 15 Cluster Heading Standard MVP "REVIEW: Use own Resources Solving Equations: One- step; Two- step; Multi- step; Variables on

More information

MATH II CCR MATH STANDARDS

MATH II CCR MATH STANDARDS RELATIONSHIPS BETWEEN QUANTITIES M.2HS.1 M.2HS.2 M.2HS.3 M.2HS.4 M.2HS.5 M.2HS.6 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents

More information

DESK Secondary Math II

DESK Secondary Math II Mathematical Practices The Standards for Mathematical Practice in Secondary Mathematics I describe mathematical habits of mind that teachers should seek to develop in their students. Students become mathematically

More information

Common Core Edition Table of Contents

Common Core Edition Table of Contents Common Core Edition Table of Contents ALGEBRA 1 Chapter 1 Foundations for Algebra 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4

More information

Integrated Math 1. Course Standards & Resource Guide

Integrated Math 1. Course Standards & Resource Guide Integrated Math 1 Course Standards & Resource Guide Integrated Math 1 Unit Overview Fall Spring Unit 1: Unit Conversion Unit 2: Creating and Solving Equations Unit 3: Creating and Solving Inequalities

More information

Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1

Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1 Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1 ALGEBRA I A.1 Mathematical process standards. The student

More information

A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Traditional Pathway Algebra I, Model from Common Core Mathematics Appendix A The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades.

More information

hmhco.com Adaptive. Intuitive. Transformative. AGA Scope and Sequence

hmhco.com Adaptive. Intuitive. Transformative. AGA Scope and Sequence hmhco.com Adaptive. Intuitive. Transformative. AGA Algebra 1 Geometry Algebra 2 Scope and Sequence Number and Quantity The Real Number System (N-RN) Properties of exponents to rational exponents Properties

More information

Content Guidelines Overview

Content Guidelines Overview Content Guidelines Overview The Pearson Video Challenge is open to all students, but all video submissions must relate to set of predetermined curriculum areas and topics. In the following pages the selected

More information

Common Core State Standards for Mathematics - High School

Common Core State Standards for Mathematics - High School to the Common Core State Standards for - High School I Table of Contents Number and Quantity... 1 Algebra... 1 Functions... 3 Geometry... 6 Statistics and Probability... 8 Copyright 2013 Pearson Education,

More information

Math 3 Unit Skills Checklist

Math 3 Unit Skills Checklist Unit 1 Modeling with Statistics Use Normal Distributions Math 3 Unit Skills Checklist Describe the characteristics of a standard normal curve. Use the mean and standard deviation of a data set to fit it

More information

Common Core State Standard (+) indicates Advanced Standards Math 1

Common Core State Standard (+) indicates Advanced Standards Math 1 for Mathematics Aberdeen Central High School Alignment Common Core State Standard (+) indicates Advanced Standards a 1 Geometry H. Geometry Math Models a 2 H. a 2 Adv. Math H. Precalculus AP Statistics

More information

How well do I know the content? (scale 1 5)

How well do I know the content? (scale 1 5) Page 1 I. Number and Quantity, Algebra, Functions, and Calculus (68%) A. Number and Quantity 1. Understand the properties of exponents of s I will a. perform operations involving exponents, including negative

More information

A Correlation of Pearson Algebra 1, Geometry, Algebra 2 Common Core 2015

A Correlation of Pearson Algebra 1, Geometry, Algebra 2 Common Core 2015 A Correlation of Pearson,, Common Core 2015 To the North Carolina High School Mathematics Alignment to Traditional Text - MATH III A Correlation of Pearson,, Common Core, 2015 Introduction This document

More information

STAAR STANDARDS ALGEBRA I ALGEBRA II GEOMETRY

STAAR STANDARDS ALGEBRA I ALGEBRA II GEOMETRY STANDARDS ALGEBRA I ALGEBRA II GEOMETRY STANDARDS ALGEBRA I TEKS Snapshot Algebra I (New TEKS 2015-16) Mathematical Process Standards A.1 Mathematical process standards. The student uses mathematical processes

More information

Pearson Algebra 1, Geometry, Algebra 2 Common Core North Carolina High School Mathematics Alignment to Traditional Text - MATH III

Pearson Algebra 1, Geometry, Algebra 2 Common Core North Carolina High School Mathematics Alignment to Traditional Text - MATH III A Correlation of Pearson,, Common Core 2015 To the North Carolina High School Mathematics Alignment to Traditional Text - MATH III A Correlation of Pearson,, Common Core, 2015 Introduction This document

More information

California Common Core State Standards for Mathematics Standards Map Mathematics I

California Common Core State Standards for Mathematics Standards Map Mathematics I A Correlation of Pearson Integrated High School Mathematics Mathematics I Common Core, 2014 to the California Common Core State s for Mathematics s Map Mathematics I Copyright 2017 Pearson Education, Inc.

More information

Secondary 1 - Secondary 3 CCSS Vocabulary Word List Revised Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation

Secondary 1 - Secondary 3 CCSS Vocabulary Word List Revised Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation (optional) absolute value function absolute value inequality (optional) acute angle addition rule algebraic representation alternate exterior angles

More information

Geometry Evidence Statements Evidence Statement Keys

Geometry Evidence Statements Evidence Statement Keys Geometry Statements Statement Keys statements describe the knowledge and skills that an assessment item/task elicits from students. These are derived directly from the Common Core State Standards for Mathematics

More information

SECONDARY MATHEMATICS I

SECONDARY MATHEMATICS I SECONDARY MATHEMATICS I THE FUNDAMENTAL PURPOSE OF SECONDARY MATHEMATICS I is to formalize and extend the mathematics that students learned in the middle grades. The critical areas, organized into units,

More information

Notes on Reading the Washington State Mathematics Standards Transition Documents

Notes on Reading the Washington State Mathematics Standards Transition Documents Notes on Reading the Washington State Mathematics Standards Transition Documents This document serves as a guide to translate between the 2008 Washington State K-8 Learning Standards for Mathematics and

More information

Math III Curriculum Map

Math III Curriculum Map 6 weeks Unit Unit Focus Common Core Math Standards 1 Rational and Irrational Numbers N-RN.3. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an

More information

The Common Core Georgia Performance Standards (CCGPS) for Grades K-12 Mathematics may be accessed on-line at:

The Common Core Georgia Performance Standards (CCGPS) for Grades K-12 Mathematics may be accessed on-line at: FORMAT FOR CORRELATION TO THE COMMON CORE GEORGIA PERFORMANCE STANDARDS (CCGPS) Subject Area: Mathematics State-Funded Course: 27.09710 Coordinate Algebra I Textbook Title: Publisher: and Agile Mind The

More information

PRACTICE TEST ANSWER KEY & SCORING GUIDELINES INTEGRATED MATHEMATICS I

PRACTICE TEST ANSWER KEY & SCORING GUIDELINES INTEGRATED MATHEMATICS I Ohio s State Tests PRACTICE TEST ANSWER KEY & SCORING GUIDELINES INTEGRATED MATHEMATICS I Table of Contents Questions 1 29: Content Summary and Answer Key... iii Question 1: Question and Scoring Guidelines...

More information

Learning Progressions

Learning Progressions Learning Progressions CCSS: Grades 9 12 Number & Quantity Strand (KUD Organizer) Mathematics D. Roscoe 4/26/2011 Topic: Number and Quantity: The Real Number System Domain 9-12.N.RN.1, 9-12.N.RN.2, 9-12.N.RN.3

More information

Next Generation Grade 10 List of Standards Assessed on MCAS

Next Generation Grade 10 List of Standards Assessed on MCAS Next Generation Grade 10 List of Standards Assessed on MCAS The next-generation MCAS test for grade 10 mathematics will assess the standards that overlap between the Model Algebra I and Model Geometry

More information

How to Read the Crosswalk Document

How to Read the Crosswalk Document How to Read the Crosswalk Document This West Virginia Crosswalk document is designed to help readers easily understand the similarities and differences between the Next Generation (NxG) WV Content Standards

More information

MATHEMATICS Math I. Number and Quantity The Real Number System

MATHEMATICS Math I. Number and Quantity The Real Number System MATHEMATICS Math I The high school mathematics curriculum is designed to develop deep understanding of foundational math ideas. In order to allow time for such understanding, each level focuses on concepts

More information

Common Core Georgia Performance Standards: Curriculum Map 1 st Semester 2 nd Semester

Common Core Georgia Performance Standards: Curriculum Map 1 st Semester 2 nd Semester Common Core Georgia Performance Standards High School Mathematics CCGPS Coordinate Algebra At a Glance Common Core Georgia Performance Standards: Curriculum Map 1 st Semester 2 nd Semester Unit 1 Unit

More information

California Common Core State Standards for Mathematics Standards Map Mathematics II

California Common Core State Standards for Mathematics Standards Map Mathematics II A Correlation of Pearson Integrated High School Mathematics Mathematics II Common Core, 2014 to the California Common Core State s for Mathematics s Map Mathematics II Copyright 2017 Pearson Education,

More information

Georgia Performance Standards in Mathematics Geometry

Georgia Performance Standards in Mathematics Geometry Mathematics Georgia Performance Standards K-12 Mathematics Introduction Georgia Mathematics focuses on actively engaging the student in the development of mathematical understanding by working independently

More information

BUILT. for. Regents Pathways

BUILT. for. Regents Pathways BUILT for NY 2016 2017 Algebra 1 Regents Pathway Think Through Math s Algebra 1 Regents pathway is designed to equip students with the skills and conceptual understandings of high school level mathematics

More information

ACT Math Sub-Score 33-36

ACT Math Sub-Score 33-36 Report Prepared For: Report Prepared By: ACT Math Sub-Score 33-36 Student Can Most Likely Do Basic Operations & Applications Solve complex arithmetic problems involving percent of increase or decrease

More information

Math III Pacing Guide

Math III Pacing Guide Unit 1 - Geometry Days CCSS Pearson Alignment Objective 1 G-CO.1 G-CO.9 2 G-CO.9 G-CO.12 1 G-CO.10 G-SRT.4 G.1.2 Points, lines and planes G.1.3 Measuring segments G.1.4 Measuring angles G.1.6 Basic constructions

More information

GRADE 10: CCGPS Math II/ Analytic Geometry MATHEMATICS - Curriculum Map (adapted from Georgia Department of Education) UPDATED JULY 2013

GRADE 10: CCGPS Math II/ Analytic Geometry MATHEMATICS - Curriculum Map (adapted from Georgia Department of Education) UPDATED JULY 2013 GRADE 10: CCGPS Math II/ Analytic Geometry MATHEMATICS - Curriculum Map (adapted from Georgia Department of Education) UPDATED JULY 2013 Common Core Georgia Performance Standards SEMESTER 1 SEMESTER 2

More information

Integrated Math 3 Math 3 Course Description:

Integrated Math 3 Math 3 Course Description: Course Description: Integrated Math 3 Math 3 Course Description: Integrated strands include algebra, functions, geometry, trigonometry, statistics, probability and discrete math. Scope and sequence includes

More information

Ref: GIS Math G 10 C.D

Ref: GIS Math G 10 C.D Ref: GIS Math G 10 C.D. 2017-2018 2011-2012 SUBJECT : Math TITLE OF COURSE : Algebra 2/Geometry GRADE LEVEL : 10 DURATION : ONE YEAR NUMBER OF CREDITS : 1.25 Goals (Algebra 2) : Expressions: An expression

More information

Alignment to Common Core State Standards for High School Mathematics. Bridge to Georgia Math Algebra NUMBER AND QUANTITY

Alignment to Common Core State Standards for High School Mathematics. Bridge to Georgia Math Algebra NUMBER AND QUANTITY N.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational

More information

Georgia Standards of Excellence Mathematics

Georgia Standards of Excellence Mathematics Georgia Standards of Excellence Mathematics Standards Accelerated GSE Coordinate Algebra/Analytic Geometry A K-12 Mathematics Introduction Georgia Mathematics focuses on actively engaging the student in

More information

9-12 Mathematics Vertical Alignment ( )

9-12 Mathematics Vertical Alignment ( ) Algebra I Algebra II Geometry Pre- Calculus U1: translate between words and algebra -add and subtract real numbers -multiply and divide real numbers -evaluate containing exponents -evaluate containing

More information

T a b l e o f C o n t e n t s

T a b l e o f C o n t e n t s T a b l e o f C o n t e n t s C O M P E T E N C Y 1 KNOWLEDGE OF ALGEBRA... 1 SKILL 1.1: Apply the properties of real numbers: closure, commutative, associative, distributive, transitive, identities, and

More information

Mathematics 6 12 Section 26

Mathematics 6 12 Section 26 Mathematics 6 12 Section 26 1 Knowledge of algebra 1. Identify graphs of linear inequalities on a number line. 2. Identify graphs of linear equations and inequalities in the coordinate plane. 3. Identify

More information

Geometry A is a prerequisite for Geometry B. Before beginning this course, you should be able to do the following:

Geometry A is a prerequisite for Geometry B. Before beginning this course, you should be able to do the following: Syllabus Geometry B Overview Geometry is a branch of mathematics that uses logic and formal thinking to establish mathematical relationships between points, lines, surfaces, and solids. In Geometry B,

More information

Test at a Glance (formerly known as the Praxis II) Test Breakdown

Test at a Glance (formerly known as the Praxis II) Test Breakdown * Subject Assessments: Mathematics (5161) Test at a Glance (formerly known as the Praxis II) The following information was retrieved from the ETS website. It includes information regarding material for

More information

Catchup Math and the Common Core Standards. Spring 2011

Catchup Math and the Common Core Standards. Spring 2011 Catchup Math and the Common Core Standards Spring 2011 The Catchup Math curriculum addresses nearly all the Common Core Mathematics Standards for Grades 6 8 and High School (including most of the optional

More information

Integrated Mathematics II

Integrated Mathematics II Integrated Mathematics II This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information

The New York Common Core Learning Standards for Mathematics: High School

The New York Common Core Learning Standards for Mathematics: High School The New York Common Core Learning Standards for Mathematics: High School Algebra 1, Geometry, & Algebra 2 2012 Houghton Mifflin Harcourt Publishing Company. All rights reserved. Printed in the U.S.A. Holt

More information

Georgia Standards of Excellence Mathematics

Georgia Standards of Excellence Mathematics Georgia Standards of Excellence Mathematics Standards GSE Analytic Geometry K-12 Mathematics Introduction Georgia Mathematics focuses on actively engaging the student in the development of mathematical

More information

Elk Grove Unified School District Math I, II, and III Instructional Guide Houghton Mifflin Harcourt Integrated Math Series May 2016

Elk Grove Unified School District Math I, II, and III Instructional Guide Houghton Mifflin Harcourt Integrated Math Series May 2016 Elk Grove Unified School District Math I, II, and III Instructional Guide Houghton Mifflin Harcourt Integrated Math Series May 2016 The document below represents the work of HS math department chairs and

More information

Common Core State Standards for Mathematics High School

Common Core State Standards for Mathematics High School A Correlation of Pearson Mathematics Algebra 1 Geometry Algebra 2 Common Core Edition to the Common Core State Standards for Mathematics High School Introduction This document demonstrates how Pearson

More information

ENHANCED HIGH SCHOOL PATHWAY TO CALCULUS

ENHANCED HIGH SCHOOL PATHWAY TO CALCULUS ENHANCED HIGH SCHOOL PATHWAY TO CALCULUS The Enhanced Pathway allows for a motivated student to complete the necessary course work to take Calculus in grade twelve starting with Enhanced Algebra I in grade

More information

Integrated Math II Performance Level Descriptors

Integrated Math II Performance Level Descriptors Limited Integrated Math II Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Integrated Math II. A student at this

More information

ACT Math Sub-Score Improvement Strategies

ACT Math Sub-Score Improvement Strategies Report Prepared For: Report Prepared By: ACT Math Sub-Score 1-12 Student Can Most Likely Do Basic Operations & Applications Perform one-operation computation with whole numbers and decimals Solve problems

More information

Quick Reference Guide

Quick Reference Guide Quick Reference Guide NUMBER AND QUANTITY The Real Number System A. Extend the properties of exponents to rational exponents. N.RN 1. Explain how the definition of the meaning of rational exponents follows

More information

Integrated Math II High School Math Solution West Virginia Correlation

Integrated Math II High School Math Solution West Virginia Correlation M.2HS.1 M.2HS.2 M.2HS.3 M.2HS.4 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals

More information

TEACHER CERTIFICATION EXAM 1.0 KNOWLEDGE OF ALGEBRA Identify graphs of linear inequalities on a number line...1

TEACHER CERTIFICATION EXAM 1.0 KNOWLEDGE OF ALGEBRA Identify graphs of linear inequalities on a number line...1 TABLE OF CONTENTS COMPETENCY/SKILL PG # 1.0 KNOWLEDGE OF ALGEBRA...1 1.1. Identify graphs of linear inequalities on a number line...1 1.2. Identify graphs of linear equations and inequalities in the coordinate

More information

Ohio s State Tests ITEM RELEASE SPRING 2018 GEOMETRY

Ohio s State Tests ITEM RELEASE SPRING 2018 GEOMETRY Ohio s State Tests ITEM RELEASE SPRING 2018 GEOMETRY Table of Contents Content Summary and Answer Key... iii Question 4: Question and Scoring Guidelines... 1 Question 4: Sample Response... 4 Question 8:

More information

GEOMETRY SYLLABUS 1 st Semester

GEOMETRY SYLLABUS 1 st Semester NAME SYLLABUS 1 st Semester Please refer to this syllabus with any questions you may have. We will work through the text book pages in class. We will do all problems in a module, unless I tell you to do

More information

Math Maps & Unit CCRS Priorities K10 SBCSC

Math Maps & Unit CCRS Priorities K10 SBCSC ISTEP+ Instructional and Assessment Guidance Math Maps & Unit CCRS Priorities 2016-2017 K10 SBCSC Prioritizing Instruction In an effort to empower teachers and focus on college and career readiness, the

More information

High School Math. Grades Scope and Sequence

High School Math. Grades Scope and Sequence High School Units-All-03feb12.docx High School Math Grades 9 11 Scope and Sequence High School Units-All-03feb12.docx TRADITIONAL Grade 9 Algebra One A0 Introductory Unit 5 days 5 A1 Modeling with Functions

More information

6-12 Mathematics Missouri Learning Standards: Grade-Level Expectations

6-12 Mathematics Missouri Learning Standards: Grade-Level Expectations 6- Mathematics Missouri Learning Standards: Grade-Level Expectations Missouri Department of Elementary and Secondary Education Spring 06 Ratios and Proportional Relationships RP Grade 6 Grade 7 Grade 8

More information

are doubled. 8 (+) Perform operations on matrices and use matrices in applications. Add, subtract, and multiply matrices of appropriate dimensions.

are doubled. 8 (+) Perform operations on matrices and use matrices in applications. Add, subtract, and multiply matrices of appropriate dimensions. Grades - Math Common Core State Standards Domain: Number and Quantity Real Number System Extend the properties of exponents to rational exponents. Explain how the definition of the meaning of rational

More information

Integrated Math II. IM2.1.2 Interpret given situations as functions in graphs, formulas, and words.

Integrated Math II. IM2.1.2 Interpret given situations as functions in graphs, formulas, and words. Standard 1: Algebra and Functions Students graph linear inequalities in two variables and quadratics. They model data with linear equations. IM2.1.1 Graph a linear inequality in two variables. IM2.1.2

More information

WA State Common Core Standards - Mathematics

WA State Common Core Standards - Mathematics Number & Quantity The Real Number System Extend the properties of exponents to rational exponents. 1. Explain how the definition of the meaning of rational exponents follows from extending the properties

More information

Fall For each standard, the table below shows the applicable Catchup Math curriculum. Covered in Subject and Chapter Programs

Fall For each standard, the table below shows the applicable Catchup Math curriculum. Covered in Subject and Chapter Programs Catchup Math and the Common Core Standards Fall 2012 The Catchup Math curriculum addresses nearly all the Common Core Mathematics Standards for Grades 6-8 and High School (including most of the optional

More information

Public Comment Draft of High School Mathematics Model Courses

Public Comment Draft of High School Mathematics Model Courses Public Comment Draft of High School Mathematics Model Courses Organization of this Section The high school Common Core State Standards (CCSS) approved by the Board of Elementary and Secondary Education

More information

Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA

Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA Algebra II/Geometry Dunmore School District Dunmore, PA Algebra II/Geometry Prerequisite: Successful completion of Algebra 1 Part 2 K Algebra II/Geometry is intended for students who have successfully

More information

Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, and Janet Sutorius. Mathematics, Secondary II

Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, and Janet Sutorius. Mathematics, Secondary II Resource Title: Secondary Two Mathematics Student Edition Publisher: Mathematics Vision Project ISBN: This is an e-book located at http://www.mathematicsvisionproject.org Media: Authors: internet pdf Scott

More information

Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math Interim Assessment Blocks

Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math Interim Assessment Blocks Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math Interim Assessment Blocks The Smarter Balanced Assessment Consortium (SBAC) has created a hierarchy comprised of

More information

Prentice Hall Mathematics: Algebra Correlated to: Michigan High School Math Content Expectations

Prentice Hall Mathematics: Algebra Correlated to: Michigan High School Math Content Expectations STRAND 1: QUANTITATIVE LITERACY AND LOGIC STANDARD L1: REASONING ABOUT NUMBERS, SYSTEMS, AND QUANTITATIVE SITUATIONS Based on their knowledge of the properties of arithmetic, students understand and reason

More information

Geometry Note Cards EXAMPLE:

Geometry Note Cards EXAMPLE: Geometry Note Cards EXAMPLE: Lined Side Word and Explanation Blank Side Picture with Statements Sections 12-4 through 12-5 1) Theorem 12-3 (p. 790) 2) Theorem 12-14 (p. 790) 3) Theorem 12-15 (p. 793) 4)

More information

PRACTICE TEST ANSWER KEY & SCORING GUIDELINES INTEGRATED MATHEMATICS II

PRACTICE TEST ANSWER KEY & SCORING GUIDELINES INTEGRATED MATHEMATICS II Ohio s State Tests PRACTICE TEST ANSWER KEY & SCORING GUIDELINES INTEGRATED MATHEMATICS II Table of Contents Questions 1 31: Content Summary and Answer Key... iii Question 1: Question and Scoring Guidelines...

More information

Grade Eight (All Disciplines) Mathematics Standards Map Basic Program

Grade Eight (All Disciplines) Mathematics Standards Map Basic Program 1 Publisher Instructions. 1. In the header of this document, please fill in the program s identifying information. A basic program in mathematics for grade eight must address the standards for one of the

More information

Saxon Advanced Mathematics Scope and Sequence

Saxon Advanced Mathematics Scope and Sequence hmhco.com Saxon Advanced Mathematics Scope and Sequence Foundations Calculator Perform two-variable analysis Use graphing calculators Find roots of equations Solve systems of equations Exponentials and

More information

MATHEMATICS. ALGEBRA I: two semesters, two credits

MATHEMATICS. ALGEBRA I: two semesters, two credits MATHEMATICS The mathematics curriculum is very broad and flexible. The program that is right for each student depends on his/her interests, abilities, and future educational/vocational plans. MATHEMATICS

More information

Prentice Hall Geometry (c) 2007 correlated to American Diploma Project, High School Math Benchmarks

Prentice Hall Geometry (c) 2007 correlated to American Diploma Project, High School Math Benchmarks I1.1. Add, subtract, multiply and divide integers, fractions and decimals. I1.2. Calculate and apply ratios, proportions, rates and percentages to solve problems. I1.3. Use the correct order of operations

More information

Common Core Georgia Performance Standards Mathematics Grade 7 Adopted 2011

Common Core Georgia Performance Standards Mathematics Grade 7 Adopted 2011 Hands On Standards 1, Deluxe Edition Grades: 7, 8, 9, 10 State: Georgia Common Core Standards Subject: Mathematics Publisher: ETA hand2mind Common Core Georgia Performance Standards Mathematics Grade 7

More information

Grade 10 Unit # 4 Pacing 8 10 weeks

Grade 10 Unit # 4 Pacing 8 10 weeks Subject Geometry Honors Grade 10 Unit # 4 Pacing 8 10 weeks Unit Name Circles, Area and Volume, and Probability Overview Unit 4 explores properties of circles. Students will be familiar with all properties

More information

Indiana Academic Standards for Mathematics (2014)

Indiana Academic Standards for Mathematics (2014) A Correlation of Pearson Mathematics Algebra 1, Geometry, and Algebra 2 Common Core to the for Mathematics (2014) Introduction This document demonstrates how Pearson Algebra 1, Geometry, Algebra 2 Common

More information

Mathematics AKS

Mathematics AKS Integrated Algebra I A - Process Skills use appropriate technology to solve mathematical problems (GPS) (MAM1_A2009-1) build new mathematical knowledge through problem-solving (GPS) (MAM1_A2009-2) solve

More information

Standard 1: Standard 2: Standard 3: Standard 1: Standard 3: Standard 4: Standard 5: Standard 6: Standard 8: Standard 5: Standard 6: Standard 7:

Standard 1: Standard 2: Standard 3: Standard 1: Standard 3: Standard 4: Standard 5: Standard 6: Standard 8: Standard 5: Standard 6: Standard 7: 6th Grade Math Standards Ratio and Proportional Relationships Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. Understand the concept of

More information

Prentice Hall Geometry and Algebra 2, North Carolina Editions 2011

Prentice Hall Geometry and Algebra 2, North Carolina Editions 2011 Prentice Hall Geometry and Algebra 2, C O R R E L A T E D T O Number and Operations MBC.N.1 Represent expressions involving rational exponents in various forms. MBC.N.1.1 Translate numbers with rational

More information

SCOPE AND SEQUENCE CHART

SCOPE AND SEQUENCE CHART Unit Name 1 Introduction to Trigonometric Functions GSE PRECALCULUS SCOPE AND SEQUENCE CHART Unit Description Georgia Standards of Excellence Unit Duration Unit 1: Students will use the unit circle to

More information

COMMON CORE State STANDARDS FOR MATHEMATICS HIGH SCHOOL ALGEBRA

COMMON CORE State STANDARDS FOR MATHEMATICS HIGH SCHOOL ALGEBRA A -CED Creating Equations ALGEBRA Create equations that describe numbers or relationships 1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising

More information

Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, and Janet Sutorius. Mathematics, Secondary II

Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, and Janet Sutorius. Mathematics, Secondary II Resource Title: Secondary Two Mathematics Student Edition Publisher: Mathematics Vision Project ISBN: This is an e- book located at http://www.mathematicsvisionproject.org Media: Authors: internet pdf

More information

Appendix C: Event Topics per Meet

Appendix C: Event Topics per Meet Appendix C: Event Topics per Meet Meet 1 1A Pre-algebra Topics Fractions to add and express as the quotient of two relatively prime integers Complex fractions and continued fractions Decimals, repeating

More information

MAP 2302 MAP 4103 MAE 3920 MAE 4360 MAS 4301 MAS Introduction to Abstract Algebra I. Introduction to Abstract Algebra

MAP 2302 MAP 4103 MAE 3920 MAE 4360 MAS 4301 MAS Introduction to Abstract Algebra I. Introduction to Abstract Algebra B.S. In Mathematics Florida A&M University MAC 2311 MAD 2120 MAC 2312 MAE 1920 MAC 2313 STA 2023 MHF 4202 MAE 2920 MAS 3105 MAP 2302 MAP 4103 MAS 4301 MAE 3920 MAE 4360 MTG 4212 MAS 4203 FTCE Skills &

More information

Precalculus Graphical, Numerical, Algebraic 9 th Edition, 2015

Precalculus Graphical, Numerical, Algebraic 9 th Edition, 2015 A Correlation of 9 th Edition, To The Copyright Pearson Education, Inc. or its affiliate(s). All rights reserved. A Correlation of, to the, - The Complex Number System N.CN Use properties of rational and

More information

Algebra I. 60 Higher Mathematics Courses Algebra I

Algebra I. 60 Higher Mathematics Courses Algebra I The fundamental purpose of the course is to formalize and extend the mathematics that students learned in the middle grades. This course includes standards from the conceptual categories of Number and

More information