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

 Milo Hood
 9 months ago
 Views:
Transcription
1 Algebra II/Geometry Dunmore School District Dunmore, PA
2 Algebra II/Geometry Prerequisite: Successful completion of Algebra 1 Part 2 K Algebra II/Geometry is intended for students who have successfully completed Algebra I Part 2 K. This course is intended to introduce students to the Pennsylvania Common Core standards covered in Algebra II and Geometry. The core standards in this course provide the students with a solid foundation to be successful in future mathematics courses and on the SAT Exam. Algebra II/Geometry Page 1
3 Yearataglance Subject: Algebra II/Geometry Grade Level: 11 Date Completed: 6/6/ st Quarter Topic Resources Standards Real Numbers, Algebra, and Problem Solving Chapter 1 11,12,13,14,15,16,17,18 A , CC.2.1.HS.F.2, CC.2.1.HS.F.1, A , A , and Inequalities Chapter 2 21,22,23,24,25,26,27 Relations, Functions, and Graphs Exponential Functions Logarithmic Functions Chapter 3 31,32,33,34,35,36,37 A , A , CC.2.2.HS.D.8, CC.2.2.HS.D 9, A , A , CC.2.1.HS.F.3, CC.2.2.HS.C.2, A , A , A Systems of and Inequalities and Problem Solving Chapter 4 41,42,43,46,47 CC.2.2 HS. D.7, CC.2.2.HS.D.10, A Algebra II/Geometry Page 2
4 2 nd Quarter Topic Resources Standards Polynomials and Polynomial Chapter 5 51,52,53,54,55,56,57 Rational Expressions and Chapter 6 61,62,63,64,66,67,68 CC.2.2.HS.D.4, CC.2.2.HS.D.5, CC.2.2.HS.D.3 A , A CC.2.2.HS.D.1, CC.2.2.HS.D.2, CC.2.2.HS.D.6, CC.2.1.HS.F.4, A , A Powers, Roots, and Complex Numbers Chapter 7 71,72,73,74,75,76,77,78,79,710 CC.2.1.HS.F.6, CC.2.1.HS.F.7, A , A , A , A Algebra II/Geometry Page 3
5 3 rd Quarter Topic Resources Standards Quadratic Chapter 8 81,82,83,84,85,86 CC.2.2.HS.C.5, A Quadratic Functions and Transformations Chapter 9 91,92,93,94,97 Geometry Introduction CC.2.2.HS.C.4, A , A G Angles Chapter G.1.2.1, G.2.2.1, G , G Algebra II/Geometry Page 4
6 4 th Quarter Topic Resources Standards Lines with Transversals Chapter 3 31,32 G.2.2.1, G , G , G Triangles and Congruence Chapter 4 43,44,45,46,47,49 Similarity Relationships Chapter 7 71,72,73,74,75 Trigonometric Ratios Chapter 8 81,82 Extending Perimeter, Circumference, and Area Chapter ,104 Spatial Reasoning Chapter ,113,114 Circles Chapter ,122,124,125,127 G.1.2.1, CC A.2, CC.2.3.HS.A.3, CC.2.3.HS.A.13, G , G , G G.1.3.1, CC.2.3.HS.A.1, CC.2.3.HS.A.2, CC.2.3.HS.A.5, CC.2.3.HS.A.6, G , G , G CC.2.3.HS.A.1, CC.2.3.HS.A.2, CC.2.3.HS.A.5, CC.2.3.HS.A.6, G , G , G , G , G M07.CG.2, G.2.2.2, M07.CG.2.2.2, G , G , G , G G.2.3.1, CC A.1, CC.2.3.HS.A.12, CC.2.3.HS.A.14, G , G G.1.1.1, CC.2.3.HS.A.8, CC.2.3.HS.A.9, CC.2.3.HS.A.13, G , G , G , G , G Review and Final Exam Textbooks Review Packets Algebra II/Geometry Page 5
7 General Topic Anchor Descriptor PA Core Standards Eligible Content, Essential Knowledge, Skills & Vocabulary Real Numbers, Algebra, and Problem Solving A Use Exponents, roots, and/or absolute value to represent equivalent forms or to solve problems. CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real world or mathematical problems. CC.2.1.HS.F.1 Apply and extend the property of exponents to solve problems. A Use exponential expressions to represent rational numbers. A Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers). Algebraic Expressions Commutative Property Associative Property Distributive Property Exponential Notation Order of Operations Resources & Activities Assessments Suggested Time (In Days) Approved textbook Algebra 2 with Trigonometry Chapter Real Numbers and 12 Multiplication and Division 13 Algebraic Expressions and Properties of Numbers 14 The Distributive Property 15 Solving 16 Writing 17 Exponential Notation 18 Properties of Exponents 10 days Algebra II/Geometry Page 6
8 and Inequalities A Use Exponents, roots, and/or absolute value to represent equivalent forms or to solve problems. A Describe and/or determine change. CC.2.2.HS.D.8 Apply inverse operations to solve equations and formulas for a given variable. CC.2.2.HS.D 9 Use reasoning to solve equations and justify the solution. A Simplify/evaluate expressions involving multiplying with exponents, powers of powers, and powers of products. A Use algebraic processes to solve a formula for a given variable. A Write, solve, and/or apply linear or exponential growth and decay. Principle of Zero Products Guidelines to Solve Word Problems Solution Sets Compound Inequality Conjunctions Disjunctions Absolute Value Number Line Algebra 2 with Trigonometry Chapter More on Solving 22 Using 23 Solving Formulas 24 Solving Inequalities 25 Using Inequalities 26 Compound Inequalities 27 Absolute Value 14 days Algebra II/Geometry Page 7
9 Relations, Functions, and Graphs Exponential Functions Logarithmic Functions Systems of and Inequalities and Problem Solving CC.2.1.HS.F.3 Apply quantitative reasoning to choose and interpret units and scales in formulas, graphs, and data displays. CC.2.2.HS.C.2 Graph and analyze functions and use their properties to make connections between the different representations. CC.2.2 HS. D.7 Create and graph equations or inequalities to describe numbers and relationships. CC.2.2.HS.D.10 Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically. A Determine the domain, range, or inverse function. A Create, interpret, and/or use the equation, graph, or table of a polynomial function. A Create, interpret, and/or use the equation, graph, or table of exponential functions. A Determine how a change in one variable relates to a change in the second variable. Substitution Method Linear Combinations Consistent System Dependent System Algebra 2 with Trigonometry Chapter Relations and Ordered Pairs 32 Graphs (Guidelines) 33 Functions 34 Graphs of Linear 35 Slope 36 More of Lines 37 Parallel and Perpendicular 39 Composition of Function Algebra 2 with Trigonometry Chapter Systems of I Two Variables 42 Solving a System of 43 Using a System of Two 46 Consistent and Dependent Systems 47 Systems of Inequalities 12 days 14 days Algebra II/Geometry Page 8
10 Polynomials and Polynomial Rational Expressions and CC.2.2.HS.D.4 Understand the relationship between zeros and factors of polynomials to make generalizations about functions and their graphs. CC.2.2.HS.D.5 Use polynomial identities to solve problems. CC.2.2.HS.D.3 Extend the knowledge of arithmetic operations and apply to polynomials. CC.2.2.HS.D.1 Interpret the structure of expressions to represent a quantity in terms of its context. A Factor algebraic expressions, including difference of squares and trinomials. ( In the form ax 2 + bx + c where (a) is not equal to zero). A Simplify rational algebraic expressions. Monomial Binomial Trinomial Additive Inverses F.O.I.L. Factoring Principle of Zero Products Factoring (Sum and Difference of two cubes) A Simplify rational expressions. A Solve equations involving rational and/or radical expressions. Algebra 2 with Trigonometry Chapter Polynomials and Functions 52 Addition and Subtraction of Polynomials 53 Multiplication of Polynomials 54 Factoring 55 More Factoring 56 Factoring (A General Strategy) 57 Solving by Factoring Algebra 2 with Trigonometry Chapter Multiplying and Simplifying 14 days 13 days Algebra II/Geometry Page 9
11 Powers, Roots, and Complex Numbers CC.2.2.HS.D.2 Write expressions in equivalent forms to solve problems. CC.2.2.HS.D.6 Extend the knowledge of rational functions to rewrite in equivalent forms. CC.2.1.HS.F.4 Use units as a way to understand problems and guide CC.2.1.HS.F.6 Extend the knowledge of arithmetic operations and apply to complex numbers. Vocabulary Reciprocals Common Denominator Least Common Multiple Complex Rational Expression Rational Equation A Simplify/write square roots in terms of i. 62Addition and Subtraction 63 Complex Rational Expressions 64 Division of Polynomials 66 Solving Rational 67 Using Rational 68 Formulas Algebra 2 with Trigonometry Chapter 7 15 days CC.2.1.HS.F.7 Apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems A Simplify/evaluate expressions involving powers of i. A Add and subtract complex numbers. A Multiply and divide complex numbers. 71 Radical Expressions 72 Multiplying and Simplifying 73 Operations with Radical Expressions 74 More Operations with Radical Expressions 75 Rational Numbers as Exponents 76 Solving radical 77 Imaginary and Complex Numbers Algebra II/Geometry Page 10
12 Quadratic CC.2.2.HS.C.5 Construct and compare linear, quadratic, and exponential models to solve problems. A Write/ and or solve quadratic equations (Including factoring and using the Quadratic Formula). Standard Form Pythagorean Theorem The Quadratic Function Discriminant Quadratic Form Formulas Direct Quadratic Variation Algebra 2 with Trigonometry Chapter Introduction to Quadratic 82 Using Quadratic 83 The Quadratic Equation 84 Solutions of Quadratic 13 days Quadratic Functions and Transformations CC.2.2.HS.C.4 Interpret the effects transformations have on functions and find the inverses of functions. A Analyze a set of data for the existence of a pattern, and represent the pattern with a rule algebraically and/or graphically. A Identify or describe the effect of changing parameters within a family of functions. Algebra 2 with Trigonometry Chapter Symmetry 92 Transformations 94 Graphs of Quadratic Functions 97 Graphs of x intercepts 13 days Symmetry Algebra II/Geometry Page 11
13 Geometry Introduction G Recognize and/or apply properties of angles, polygons, and polyhedral. Axis of Symmetry Transformation Translation Horizontal Vertical Vertex Minimum Maximum Standard Form Point Line Plane Line Segment Collinear Noncollinear Coplanar Noncoplanar Endpoint Rays Opposite Rays Postulate Coordinate Distance Length Congruent Segments Between Midpoint Bisects Perpendicular Bisector 2 days Algebra II/Geometry Page 12
14 Angles G Recognize and/or apply properties of angles, polygons, and polyhedral G Use and/or compare measurements of angles. G Use properties of angles formed by intersecting lines to find the measures of missing angles. G Use properties of angles formed when two parallel lines are cut by a transversal to find the measures of missing angles Chapter Pairs of Angles Teacher produced worksheets 16 days Angle Vertex Interior of Angle Exterior of an Angle Angle Measure Degree Acute Angle Right Angle Obtuse Angle Straight Angle Adjacent Angles Linear Pair Complementary Angles Supplementary Angles Vertical Angles Algebra II/Geometry Page 13
15 Lines with Transversals G Use and/or compare measurements of angles. G Use properties of angles formed by intersecting lines to find the measures of missing angles. G Use properties of angles formed when two parallel lines are cut by a transversal to find the measures of missing angles. Chapter Lines and Angles 32 Angles Formed by Parallel Lines and Transversals Teacher produced worksheets 7 days G Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations). Parallel Lines Perpendicular Lines Skew Lines Parallel Planes Transversal Corresponding Angles Alternate Interior Angles Alternate Exterior Angles SameSide Interior Angles Algebra II/Geometry Page 14
16 Triangles and Congruence G Recognize and/or apply properties of angles, polygons, and polyhedra. CC A.2 Understand and apply congruence, similarity, and geometric transformations using various tools. CC.2.3.HS.A.3 Verify and apply geometric theorems as they relate to geometric figures. CC.2.3.HS.A.13 Analyze relationships between twodimensional and threedimensional objects. G Identify and/or use properties of triangles. G Identify and/or use properties of isosceles and equilateral triangles. G Identify and/or use properties of congruent and similar polygons or solids. Classifying Triangles Interior Angle Exterior Angle Remote Interior Angle Corresponding Angles Corresponding Sides Congruent Polygons Triangle Rigidity Included Angle Included Side Hypotenuse CPCTC Isosceles Triangle Legs Vertex Angle Base Base Angles SSS SAS ASA AAS HL Chapter Angle Relationships in Triangles 44 Congruent Triangles 45 Triangle Congruence: SSS and SAS 46 Triangle Congruence: ASA, AAS, and HL 47 Triangle Congruence: CPCTC 49 Isosceles and Equilateral Triangles Teacher Produced Worksheets 12 days Algebra II/Geometry Page 15
17 Similarity Relationships G Use properties of congruence, correspondence, and similarity in problemsolving settings involving two and three dimensional figures. CC.2.3.HS.A.1 Use geometric figures and their properties to represent transformations in the plane. CC.2.3.HS.A.2 Apply rigid transformations to determine and explain congruence. CC.2.3.HS.A.5 Create justifications based on transformations to establish similarity of plane figures. CC.2.3.HS.A.6 Verify and apply theorems involving similarity as they relate to plane figures. Dunmore School District G Identify and/or use proportional relationships in similar figures. G Describe how a change in the linear dimension of a figure affects its perimeter, circumference, and area (e.g., How does changing the length of the radius of a circle affect the circumference of the circle?). G Describe how a change in the linear dimension of a figure affects its surface area or volume (e.g., How does changing the length of the edge of a cube affect the volume of the cube?). Similar Similar Polygons Similarity Ratio Similarity Transformation Reflexive Property of Similarity Symmetric Property of Similarity Transitive Property of Similarity Chapter Ratios in Similar Polygons 72 Similarity in Transformations 73 Triangle Similarity: AA,SSS, and SAS 74 Applying Properties of Similar Triangles 75 Using Proportional Relationships Teacher Produced Worksheets Algebra II/Geometry Page 16 5 days
18 Trigonometric Ratios CC.2.3.HS.A.1 Use geometric figures and their properties to represent transformations in the plane. CC.2.3.HS.A.2 Apply rigid transformations to determine and explain congruence. CC.2.3.HS.A.5 Create justifications based on transformations to establish similarity of plane figures. CC.2.3.HS.A.6 Verify and apply theorems involving similarity as they relate to plane figures. G Identify and/or use properties of triangles. G Identify and/or use properties of isosceles and equilateral triangles. G Identify and/or use properties of regular polygons. G Use trigonometric ratios to write and/or solve problems involving right triangles. G Identify and/or use properties of congruent and similar polygons or solids Chapter Similarity in Right Triangles 82 Trigonometric Ratios Teacher Produced Worksheets 3 days Geometric Mean Altitude Trigonometric Ratios Sine Cosine Tangent Algebra II/Geometry Page 17
19 Extending Perimeter, Circumference, and Area M07.CG.2 Solve realworld and mathematical problems involving angle measure, circumference, area, surface area, and volume. G Use and/or develop procedures to determine or describe measures of perimeter, circumference, and/or area. (May require conversions within the same system.) M07.CG Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. G Estimate area, perimeter, or circumference of an irregular figure. G Use area models to find probabilities. Chapter Composite Figures 104 Perimeter and Area in the Coordinate Plane Teacher Produced Worksheets 4 days G Find the measurement of a missing length, given the perimeter, circumference, or area. G Develop and/or use strategies to estimate the area of a compound/composite figure. Composite Figure Perimeter Area Distance Formula Irregular Figure Algebra II/Geometry Page 18
20 Spatial Reasoning G Use and/or develop procedures to determine or describe measures of surface area and/or volume. (May require conversions within the same system.) CC A.1 Apply the concepts of volume of cylinders, cones, and spheres to solve real world and mathematical problems. G Calculate the volume of prisms, cylinders, cones, pyramids, and/or spheres. Formulas are provided on a reference sheet. G Find the measurement of a missing length given the surface area or volume. Chapter Volumes of Prisms and Cylinders 113 Volume of Pyramids and Cones 114 Spheres Teacher Produced Worksheets 3 days CC.2.3.HS.A.12 Explain volume formulas and use them to solve problems. Circles CC.2.3.HS.A.14 Apply geometric concepts to model and solve real world problems G Identify and/or use parts of circles and segments associated with circles, spheres, and cylinders. CC.2.3.HS.A.8 Apply geometric theorems to verify properties of circles. CC.2.3.HS.A.9 Extend the concept of similarity to determine arc lengths and areas of sectors of circles. G Identify, determine, and/or use the radius, diameter, segment, and/or tangent of a circle. G Identify, determine, and/or use the arcs, semicircles, sectors, and/or angles of a circle. G Use chords, tangents, and secants to find missing arc measures or missing segment measures. Chapter Lines that Intersect Circles 122 Arcs and Chords 124 Inscribed Angles 125 Angle Relationships in Circles 127 Circles in the Coordinate Plane Teacher Produced Worksheets 5 days Algebra II/Geometry Page 19
21 CC.2.3.HS.A.13 Analyze relationships between twodimensional and threedimensional objects. G Estimate area, perimeter, or circumference of an irregular figure. G Find the area of a sector of a circle Review and Final Exam Interior of a Circle Exterior of a Circle Chord Secant Tangent Point of Tangency Congruent Circles Concentric Circles Tangent Circles Central Angle Arc Minor Arc Major Arc Semicircle Adjacent Arcs Congruent Arcs Inscribed Angles Intercepted Arc Subtends Tangent Secant Final Exam 5 days Algebra II/Geometry Page 20
Algebra II Curriculum Guide Dunmore School District Dunmore, PA
Algebra II Dunmore School District Dunmore, PA Algebra II Prerequisite: Successful completion of Geometry This course continues and reinforces the mathematical material learned in Algebra I. It deals with
More informationPrentice Hall Intermediate Algebra, 5th Edition 2009 (MartinGay)
Prentice Hall Intermediate Algebra, 5th Edition 2009 (MartinGay) C O R R E L A T E D T O Number Properties and Operations High school students should enter high school with a strong background in rational
More informationWAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ALGEBRA II
UNIT: Review of Basic Algebra Skills as Needed SR1 and any Supplemental Materials UNIT : What skills from Algebra I are used in Algebra II? Review Algebra I Skills as Needed SR1 and any additional resources
More informationAlgebra 1 Part 1 Curriculum Guide Dunmore School District Dunmore, PA
Algebra 1 Part 1 Dunmore School District Dunmore, PA Algebra 1 Part 1 Prerequisite: Successful completion of Pre Algebra Algebra 1 Part 1 and Algebra 1 Part 2 K together create an Algebra course covered
More informationIntegrated 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 (NRN) Properties of exponents to rational
More informationHow 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 informationLiberal High School Lesson Plans
Monday, 5/8/2017 Liberal High School Lesson Plans er:david A. Hoffman Class:Algebra III 5/8/2017 To 5/12/2017 Students will perform math operationsto solve rational expressions and find the domain. How
More informationThe 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 informationIndiana 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 informationIntegrated 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 informationA Correlation of. Pearson. Mathematical Ideas. to the. TSI Topics
A Correlation of Pearson 2016 to the A Correlation of 2016 Table of Contents Module M1. Linear Equations, Inequalities, and Systems... 1 Module M2. Algebraic Expressions and Equations (Other Than Linear)...
More informationPA Core Standards For Mathematics 2.2 Algebraic Concepts PreK12
Addition and Represent addition and subtraction with CC.2.2.PREK.A.1 Subtraction objects, fingers, mental images, and drawings, sounds, acting out situations, verbal explanations, expressions, or equations.
More informationVirginia UnitSpecific Learning Pathways. Grades 6Algebra I: Standards of Learning
BUI L T F O VIR R G INIA 2014 2015 Virginia Specific Learning Pathways Grades 6Algebra I: Standards of Learning Table of Contents Grade 6...3 Grade 7...6 Grade 8...9 Algebra I... 11 Grade 6 Virginia
More informationMath Review for AP Calculus
Math Review for AP Calculus 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 informationCopyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10
Prep for Calculus This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (281 topics + 125 additional topics) Real
More informationHow do you write and evaluate algebraic expressions? How can algebraic expressions and equations represent actual situations?
Topic: Expressions, Equations and Functions Days: 13 Key Learning: Expressions, equations, tables and graphs are used to model realworld situations. Unit Essential Question(s): How do you write and evaluate
More informationPreCalculus. Curriculum (447 topics additional topics)
PreCalculus 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 curricular needs.
More informationHonors Algebra II/Trigonometry
Honors Algebra II/Trigonometry Scranton School District Scranton, PA Honors Algebra II/Trigonometry Prerequisite: Successful completion of Geometry or Honors Geometry Be in compliance with the SSD Honors
More informationIndex. Excerpt from "Art of Problem Solving Volume 1: the Basics" 2014 AoPS Inc. / 267. Copyrighted Material
Index Ø, 247 n k, 229 AA similarity, 102 AAS congruence, 100 abscissa, 143 absolute value, 191 abstract algebra, 66, 210 altitude, 95 angle bisector, 94 Angle Bisector Theorem, 103 angle chasing, 133 angle
More informationCollege Algebra with Trigonometry
College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional
More informationMath Maps & Unit CCRS Priorities K10 SBCSC
ISTEP+ Instructional and Assessment Guidance Math Maps & Unit CCRS Priorities 20162017 K10 SBCSC Prioritizing Instruction In an effort to empower teachers and focus on college and career readiness, the
More informationTopic Outline for Algebra 2 & and Trigonometry One Year Program
Topic Outline for Algebra 2 & and Trigonometry One Year Program Algebra 2 & and Trigonometry  N  Semester 1 1. Rational Expressions 17 Days A. Factoring A2.A.7 B. Rationals A2.N.3 A2.A.17 A2.A.16 A2.A.23
More informationPrentice Hall Algebra Correlated to: Illinois Math Assessment Frameworks (Grade 11)
Mathematics State Goal 6: Number Sense Grade 11 Standard 6A Representations and Ordering 6.11.01 Recognize, represent, order, compare real numbers, and locate real numbers on a number line (e.g., π, Ö
More informationTABLE OF CONTENTS. A+, A+LS, and A+nyWhere Learning System are either trademarks or registered trademarks of The American Education Corporation.
TABLE OF CONTENTS Mathematics Curriculum... 1 Algebra I, Part 1... 2 Algebra I, Part 2... 6 Algebra II, Part 1... 8 Algebra II, Part 2... 11 Calculus I... 13 Calculus II... 15 Geometry... 17 Mathematics
More informationK12 MATH HIGH ACHIEVEMENT OUTCOMES
K12 MATH HIGH ACHIEVEMENT OUTCOMES Mission Statement: By working individually and cooperatively, students in math will apply mathematical concepts, demonstrate computational skills, and use technological
More informationMathematics Precalculus: Honors Unit 3: Analytic Trigonometry
Understandings Questions Knowledge Vocabulary Skills Mathematics can be used to model reallife situations. Trigonometric identities help lay the foundation for upper level mathematics. Trigonometric identities
More informationSecondary Honors Algebra II Objectives
Secondary Honors Algebra II Objectives Chapter 1 Equations and Inequalities Students will learn to evaluate and simplify numerical and algebraic expressions, to solve linear and absolute value equations
More informationAlgebra 1 Math Year at a Glance
Real Operations Equations/Inequalities Relations/Graphing Systems Exponents/Polynomials Quadratics ISTEP+ Radicals Algebra 1 Math Year at a Glance KEY According to the Indiana Department of Education +
More informationSpringBoard 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 informationAlgebra II Learning Targets
Chapter 0 Preparing for Advanced Algebra LT 0.1 Representing Functions Identify the domain and range of functions LT 0.2 FOIL Use the FOIL method to multiply binomials LT 0.3 Factoring Polynomials Use
More informationnonadjacent angles that lie on opposite sides of the transversal and between the other two lines.
WORD: Absolute Value DEFINITION: The distance from zero, distance is always positive. WORD: Absolute Value Function DEFINITION: A function whose rule contains an absolute value expression. EXAMPLE(S) COUNTEREXAMPLE(S):
More informationAlgebra 2 Pearson High School SY
Chapters Total School Days Algebra 2 Pearson High School 20172018 SY Benchmark Cycle1 Benchmark Cycle2 Benchmark Cycle 3 Cycle 4 September 5 October 31 BM Window Opens Nov 1 Term 1 ends Nov 13 November
More informationHomework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers.
Morgan County School District Re3 A.P. Calculus August What is the language of algebra? Graphing real numbers. Comparing and ordering real numbers. Finding absolute value. September How do you solve one
More informationIntegrated Math 2 Textbook mastery level:
, *Ability to demonstrate mastery of all skills covered in Toolboxes and Units 1 10 of Integrated 1 Book use a histogram and frequency table make a stemandleaf plot find mean, median mode, and range
More informationHonors Integrated Algebra/Geometry 3 Critical Content Mastery Objectives Students will:
Content Standard 1: Numbers, Number Sense, and Computation Place Value Fractions Comparing and Ordering Counting Facts Estimating and Estimation Strategies Determine an approximate value of radical and
More informationMAP 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 informationNEW YORK ALGEBRA TABLE OF CONTENTS
NEW YORK ALGEBRA TABLE OF CONTENTS CHAPTER 1 NUMBER SENSE & OPERATIONS TOPIC A: Number Theory: Properties of Real Numbers {A.N.1} PART 1: Closure...1 PART 2: Commutative Property...2 PART 3: Associative
More informationALGEBRA & TRIGONOMETRY FOR CALCULUS MATH 1340
ALGEBRA & TRIGONOMETRY FOR CALCULUS Course Description: MATH 1340 A combined algebra and trigonometry course for science and engineering students planning to enroll in Calculus I, MATH 1950. Topics include:
More informationPrentice 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 informationPacing Guide Algebra 1
Pacing Guide Algebra Chapter : Equations and Inequalities (one variable) Section Section Title Learning Target(s) I can. Evaluate and Simplify Algebraic Expressions. Evaluate and simplify numeric and algebraic
More informationPurposeful Design Publications. Intermediate Mathematics Series Scope and Sequence
Purposeful Design Publications Intermediate Mathematics Series Scope and Sequence All rights reserved, 2004 PO Box 35097 Colorado Springs, CO 809353509 800.367.0798 www.purposefuldesign.com I. NUMBER
More informationExploring Algebra & Geometry Curriculum Outline
Exploring Algebra & Geometry Curriculum Outline Department: Mathematics Date : November 2004 Course: Exploring Algebra & Geometry Rev Date: 2002, September 1999, June 1999, Sept l989, Aug 1993 Level: 9
More informationSTEMPrep Pathway SLOs
STEMPrep Pathway SLOs Background: The STEMPrep subgroup of the MMPT adopts a variation of the student learning outcomes for STEM from the courses Reasoning with Functions I and Reasoning with Functions
More informationCalifornia. Performance Indicator. Form B Teacher s Guide and Answer Key. Mathematics. Continental Press
California Performance Indicator Mathematics Form B Teacher s Guide and Answer Key Continental Press Contents Introduction to California Mathematics Performance Indicators........ 3 Answer Key Section
More informationNC Math 3 Draft Standards
Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4.
More informationDescriptor Formula Standard
Grade/ Course Descriptor Standard 4 th D Figures 4.G.A.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional
More informationMATHEMATICS (IXX) (Code No. 041)
MATHEMATICS (IXX) (Code No. 041) The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with growth of the subject and emerging needs of the society. The present
More informationMathematics Precalculus: Academic Unit 7: Conics
Understandings Questions Knowledge Vocabulary Skills Conics are models of reallife situations. Conics have many reflective properties that are used in every day situations Conics work can be simplified
More informationTrigonometry/Calculus
/Calculus Dunmore School District Dunmore, PA /Calculus Prerequisite: Successful completion of Algebra II In the first half of the course students will study., helps students develop skills sufficiently
More informationContent Standard 1: Numbers, Number Sense, and Computation Place Value
Content Standard 1: Numbers, Number Sense, and Computation Place Value Fractions Comparing and Ordering Counting Facts Estimating and Estimation Strategies Determine an approximate value of radical and
More informationPrep for College Algebra
Prep for College Algebra This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (219 topics + 85 additional topics)
More informationPrecalculus. Course Text. Course Description. Course Objectives. StraighterLine MAT201: Precalculus
Precalculus Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGrawHill, 2008. ISBN: 9780073312637 [This text is available as an etextbook at purchase
More informationCourse Number 420 Title Algebra I Honors Grade 9 # of Days 60
WhitmanHanson Regional High School provides all students with a high quality education in order to develop reflective, concerned citizens and contributing members of the global community. Course Number
More informationCenterville High School Curriculum Mapping Algebra II 1 st Nine Weeks
Centerville High School Curriculum Mapping Algebra II 1 st Nine Weeks Chapter/ Lesson Common Core Standard(s) 11 SMP1 1. How do you use a number line to graph and order real numbers? 2. How do you identify
More information8 th Grade Math Connects
8 th Grade Math Connects Chapter 1: Rational Numbers and Percent MultiPart Lesson 1: Rational Numbers A: Rational Numbers B: Add and Subtract Rational Numbers C: Multiply Rational Numbers D: Divide Rational
More informationALGEBRA II Grades 912
Summer 2015 Units: 10 high school credits UC Requirement Category: c General Description: ALGEBRA II Grades 912 Algebra II is a course which further develops the concepts learned in Algebra I. It will
More informationMathematics: Algebra II Honors Unit 1: Quadratic Functions
Understandings Questions Knowledge Vocabulary Skills Quadratic functions can be used to model reallife situations. What are the properties of Algebra and how are these used to solve quadratic equations?
More informationArea Formulas. Linear
Math Vocabulary and Formulas Approximate Area Arithmetic Sequences Average Rate of Change Axis of Symmetry Base Behavior of the Graph Bell Curve Biannually(with Compound Interest) Binomials Boundary Lines
More informationAldine I.S.D. Benchmark Targets/ Algebra 2 SUMMER 2004
ASSURANCES: By the end of Algebra 2, the student will be able to: 1. Solve systems of equations or inequalities in two or more variables. 2. Graph rational functions and solve rational equations and inequalities.
More informationCORE CURRICULUM PRODUCTS FET PHASE GRADE 10. (Content of additional subjects available on request) MATHEMATICS (PACEs )
CORE CURRICULUM PRODUCTS FET PHASE GRADE 10 (Content of additional subjects available on request) MATHEMATICS (PACEs 1109 1120) Learns about functional notation, graphs and determines the equation of a
More informationStandards for Mathematical Practice. Number and Quantity
1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics 5. Use appropriate
More informationPre Algebra. Curriculum (634 topics)
Pre Algebra 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 curricular needs.
More informationCopyright 2016 Pearson Education, Inc. or its affiliates. All rights reserved. NES, the NES logo, Pearson, the Pearson logo, and National Evaluation
Mathematics (304) Copyright 2016 Pearson Education, Inc. or its affiliates. All rights reserved. NES, the NES logo, Pearson, the Pearson logo, and National Evaluation Series are trademarks, in the U.S.
More informationSaxon Advanced Mathematics Scope and Sequence
hmhco.com Saxon Advanced Mathematics Scope and Sequence Foundations Calculator Perform twovariable analysis Use graphing calculators Find roots of equations Solve systems of equations Exponentials and
More informationPrentice Hall Algebra Correlated to: South Dakota Mathematics Standards, (Grades 912)
High School Algebra Indicator 1: Use procedures to transform algebraic expressions. 912.A.1.1. (Comprehension)Write equivalent forms of algebraic expressions using properties of the set of real numbers.
More informationCK12 Middle School Math Grade 8
CK12 Middle School Math aligned with COMMON CORE MATH STATE STANDARDS INITIATIVE Middle School Standards for Math Content Common Core Math Standards for CK12 Middle School Math The Number System (8.NS)
More informationMath 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 informationUnit Overview. Content Area: Algebra 2 Unit Title: Preparing for Advanced Algebra Target Course/Grade Level Duration: 10 days
Content Area: Algebra 2 Unit Title: Preparing for Advanced Algebra Target Course/Grade Level Duration: 10 days 11 th or 12 th graders Description This chapter 0 contains lessons on topics from previous
More informationcorrelated to the Ohio Academic Content Standards with Indicators Mathematics Grade 8
correlated to the Ohio Academic Content Standards with Indicators Mathematics Grade 8 McDougal Littell Algebra 1 2007 correlated to the Ohio Academic Content Standards with Indicators Mathematics, Grade
More informationBUILT. 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 informationWA 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 informationCurriculum Map: Mathematics
Curriculum Map: Mathematics Course: Honors Algebra II Grade(s): 9/10 Unit 1: Expressions, Equations, and Inequalities In this unit, students review basics concepts and skills of algebra studied in previous
More informationIntegrated Math III. IM3.1.2 Use a graph to find the solution set of a pair of linear inequalities in two variables.
Standard 1: Algebra and Functions Students solve inequalities, quadratic equations, and systems of equations. They graph polynomial, rational, algebraic, and piecewise defined functions. They graph and
More informationIntermediate Algebra
Intermediate Algebra The purpose of this course is to strengthen students foundational conceptual and procedural skills in order to prepare students for collegeandcareer readiness. The course textbook,
More informationAlgebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards
Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards Standard 2 : Number & Operations CLE 3103.2.1: CLE 3103.2.2: CLE 3103.2.3:
More informationPerformance Level Descriptors Algebra I
Expressions ASSE.11 ASSE.12 ASSE.21 ASSE.24 A.APR.11 Interpreting Functions Performance Level Descriptors Algebra I Algebra I: SubClaim A The student solves problems involving the Major Content
More informationGlossary. Glossary Hawkes Learning Systems. All rights reserved.
A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Acute triangle A triangle in which all three angles are acute Addends The
More informationBermudian Springs School District PA Core Standards Math Framework Seventh Grade Math and PreAlgebra
Bermudian Springs School District PA Core Standards Math Framework Seventh Grade Math and PreAlgebra Introduction Bermudian Springs School District, in partnership with all stakeholders, recognizes the
More informationMathematics: Algebra II Honors Unit 6: Radical Functions
Understandings Questions Knowledge Vocabulary Skills Radical functions can be used to model reallife situations. What are the properties of Algebra and how are these used to solve radical equations? How
More informationCanadian Math 8 10 (CM2) Correlation for the Western Canada Common Curriculum Framework
Canadian Math 8 10 (CM2) Correlation for the Western Canada Common Curriculum Framework Grade 7 Objectives 7.N.7 Recognize and illustrate that all fractions and mixed numbers can be represented in decimal
More informationCommon Core State Standards For Mathematics
Common Core State Standards For Mathematics Correlation to Financial Algebra, by Robert K. Gerver/Richard J. Sgroi, 2011, ISBN 10: 0538449675; ISBN 13: 9780538449670 The high school standards specify the
More informationAlberta Mathematics Kindergarten to Grade 12 Scope and Sequence 2017
Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence 2017 Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence ISBN 9781460134849 Questions or concerns regarding this document
More informationFLORIDA STANDARDS TO BOOK CORRELATION FOR GRADE 7 ADVANCED
FLORIDA STANDARDS TO BOOK CORRELATION FOR GRADE 7 ADVANCED After a standard is introduced, it is revisited many times in subsequent activities, lessons, and exercises. Domain: The Number System 8.NS.1.1
More informationMATH 0960 ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8 TH EDITION) BY ANGEL & RUNDE Course Outline
MATH 0960 ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8 TH EDITION) BY ANGEL & RUNDE Course Outline 1. Real Numbers (33 topics) 1.3 Fractions (pg. 27: 175 odd) A. Simplify fractions. B. Change mixed numbers
More informationALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions.
GOALS 1. The student should be able to use mathematical properties to simplify algebraic expressions. 2. The student should be able to add, subtract, multiply, divide, and compare real numbers. 3. The
More informationAlgebra I Learning Targets Chapter 1: Equations and Inequalities (one variable) Section Section Title Learning Target(s)
Chapter 1: Equations and Inequalities (one variable) Section Learning Target(s) I can 1.2 Evaluate and Simplify Algebraic Expressions 1. Evaluate and simplify numeric and algebraic expressions (order of
More informationMath Requirements for applicants by Innopolis University
Math Requirements for applicants by Innopolis University Contents 1: Algebra... 2 1.1 Numbers, roots and exponents... 2 1.2 Basics of trigonometry... 2 1.3 Logarithms... 2 1.4 Transformations of expressions...
More informationFoundations for Functions Knowledge and Skills: Foundations for Functions Knowledge and Skills:
Texas University Interscholastic League Contest Event: Number Sense This 80question mental math contest covers all high school mathematics curricula. All answers must be derived without using scratch
More informationincreasing interval inequality interquartile range input interval irrational number
absolute value function average rate of change axis of symmetry axis scale binomial(s) closed halfplane coefficients completing the square coordinate plane/grid cosine cube root cubic units decreasing
More informationPreCalculus. Curriculum (637 topics additional topics)
PreCalculus 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 curricular needs.
More informationMath 005A Prerequisite Material Answer Key
Math 005A Prerequisite Material Answer Key 1. a) P = 4s (definition of perimeter and square) b) P = l + w (definition of perimeter and rectangle) c) P = a + b + c (definition of perimeter and triangle)
More informationAlgebra 2 with Trigonometry
Algebra 2 with Trigonometry This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize
More informationAlgebra 1.5. Content Skills Learning Targets Assessment Resources & Technology CEQ:
St. Michael Albertville High School Teacher: Mindi Sechser Algebra 1.5 September 2015 Content Skills Learning Targets Assessment Resources & Technology CEQ: Chapters 1 3 Review Variables, Function Patterns,
More informationHigh School Math. Grades Scope and Sequence
High School UnitsAll03feb12.docx High School Math Grades 9 11 Scope and Sequence High School UnitsAll03feb12.docx TRADITIONAL Grade 9 Algebra One A0 Introductory Unit 5 days 5 A1 Modeling with Functions
More informationMathematics Three Points
Subject Pre Mathematics Three Points and Statistics Probability Topics Unit 1 Basic operations, Fractions, Factors, Arithmetic Progression, Quadratic Equations, Reading Graphs, Profit and Loss Percentages,
More informationSUBJECT MATTER: Mathematics Grade: 8
SUBJECT MATTER: Mathematics Grade: 8 Unit Content Teacher Resources FOR ALL UNITS: Prentice Hall: Mathematics Course 3 Prentice Hall: Teacher Resource Aids Practice Reteaching Enrichment Chapter Projects
More informationNew Jersey Quality Single Accountability Continuum (NJQSAC) ACED 14; AREI 12,57; FIF 12, 45; NQ 13; NRN
New Jersey Quality Single Accountability Continuum (NJQSAC) (former ICM) Date: Unit 1, September 430 How do we use functions to solve real world problems? How can we model a reallife situation with a
More informationEvaluate algebraic expressions for given values of the variables.
Algebra I Unit Lesson Title Lesson Objectives 1 FOUNDATIONS OF ALGEBRA Variables and Expressions Exponents and Order of Operations Identify a variable expression and its components: variable, coefficient,
More information8th Grade Math Definitions
8th Grade Math Definitions Absolute Value: 1. A number s distance from zero. 2. For any x, is defined as follows: x = x, if x < 0; x, if x 0. Acute Angle: An angle whose measure is greater than 0 and less
More information