7 th Grade Go Math - Advanced Pacing Guide Teacher Name Pd

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1 7 th Grade Go Math - Advanced Pacing Guide Teacher Name Pd This Curriculum Guide is a suggestion for you to use as a guide. Each class should progress at its own pace. Although there are only a few quizzes listed in the pacing guide, teachers SHOULD quiz students as needed to check for comprehension. Florida Stards 1 st 9-weeks 8/18/14 10/17/14 There are 41 teaching days. 8/17/15 10/15/15 Labor Day Holiday 9/7/15 Fall Holiday 9/23/15 First Day / Week Procedures 1 Remember that you may have a fire drill assemblies this week. Baseline Progress Monitoring Test Unit 1 The Number System Module 1 Adding Subtracting Integers 7.NS NS The Baseline will be paper pencil but the answer bubble sheets will be scanned through Data Director for scoring. This Baseline should ONLY be 1 day. General Math 2 textbook 1.1 Adding Integers with the Same Sign EQ How do you add integers with the same sign? 1.2 Adding Integers with Different Signs EQ How do you add integers with different signs? 1.3 Subtracting Integers EQ How do you subtract integers? 1.4 Applying Addition Subtraction of Integers (Real World Problems) EQ How do you solve multistep problems involving 7.NS NS.1.1b MP 5.1 Using Tools 7.NS NS.1.1b MP 5.1 Using Tools 7.NS.1.1c MP 2.1 Reasoning 7.NS NS NS.1.1d 7.EE Apply extend previous understings of addition subtraction to add subtract rational numbers. 2 Apply extend previous understings of addition subtraction to add subtract rational numbers. 2 Apply extend previous understings of addition subtraction to add subtract rational numbers. 2 Solve real world mathematical problems involving the four operations with rational numbers.

2 addition subtraction of integers? Module 1 Review Ready to go on? MP 1.1 Problem Solving 1 Module 1 Assessment 1 Florida Stards Module 2 Multiplying Dividing Integers 7.NS NS Multiplying Integers EQ How do you multiply integers? 2.2 Dividing Integers EQ How do you divide integers? 2.3 Applying Integer Operations (Real World Problems) EQ How can you use integers operations to solve real-world problems? Ready to go on? Module 2 Review Ready to go on? 7.NS.1.2 MP 2.1 Reasoning 7.NS.1.2 MP 7.1 Using Structure 7.NS.1.3 MP Multiply rational numbers given real world situations. 1 Divide rational numbers given real world situations. 2 1 Solve real world mathematical problems involving the four operations with rational numbers. Module 2 Assessment 1 Florida Stards

3 Module 3 Rational Numbers 3.1 Rational Numbers Decimals EQ How can you convert a rational number to a decimal? 3.2 Adding Rational Numbers EQ How can you add rational numbers? 3.3 Subtracting Rational Numbers EQ How do you subtract rational numbers? 3.4 Multiplying Rational Numbers EQ How do you multiply rational numbers? 3.5 Dividing Rational Numbers EQ How do you divide rational numbers? 3.6 Applying Rational Number Operations (Real World Problems) EQ How do you use different forms of rational numbers strategically choose tools to solve problems? Ready to go on? Module 3 Review Ready to go on? 7.NS NS EE NS.1.2d MP 3.1 Logic 7.NS.1.1d 7.NS.1.3 MP 2.1 Reasoning 7.NS NS.1.1c MP 2.1 Reasoning 7.NS NS.1.2a 7.NS.1.2c MP 2.1 Reasoning 7.NS NS.1.2b 7.NS.1.2c MP EE NS.1.3 MP 1.1 Problem Solving 1 Convert a rational number to a decimal using long division. 1 Apply properties operations as strategies to add rational numbers given real world situations. 1 Underst subtraction of rational numbers as adding the inverse. 1 Apply properties of operations as strategies to multiply rational numbers. 1 Apply properties of operations as strategies to divide rational numbers. 1 Solve multi step real world problems involving positive negative rational numbers. 1

4 Module 3 Assessment 1 UNIT 1 Review 1 UNIT 1 Assessment 1 Modules 1, 2 3 Florida Stards Unit 2 Ratios Proportional Relationships Module 4 Rates Proportionality 7.RP RP Unit Rates EQ How do you find use unit rates? 4.2 Constant Rates of Change EQ How can you identify represent proportional relationships? 4.3 Proportional Relationships Graphs EQ How can you use graphs to represent analyze proportional relationships? Module Review Ready to go on? 7.RP.1.1 MP RP RP.1.2a 7.RP.1.2b 7.RP.1.2c MP 2.1 Reasoning 7.RP.1.2a 7.RP.1.2b 7.RP.1.2c 7.RP.1.2d MP 4.1 Module 4 Assessment 1 1 Compute unit rates associated with ratios of fractions, lengths, areas other quantities. 2 Recognize represent proportional relationships between quantities. 2 Decide whether two quantities are in a proportional relationship by graphing 1 Florida Stards Module 5 Proportions Percent 7.RP RP.1.3

5 5.1 Percent Increase Decrease EQ How do you use percents to describe change? 5.2 Rewriting Percent Expressions EQ How can you rewrite expressions to help you solve markup markdown problems? 5. 3 Applications of Percent EQ How do you use percents to solve problems? Ready to go on? p RP.1.3 MP Reason abstractly quantitativel y. 7.EE.1.2 MP Using appropriate tools. 7.RP.1.3 MP Model with mathematic s. 1 Use percent proportions to find the amount by which real-world quantities have increased or decreased. 1 Underst that rewriting an expression in different forms in a problem context can shed light on the problem how the quantities in it are related. 2 Use percent proportions to find the amount by which real-world quantities have increased or decreased. Module Review 1 Module 5 Assessment 1 You are NOW working in the Advanced Math 2 textbook! Florida Stards Unit 1 Expressions, Equations Inequalities Module 1 Expressions Equations 1.1 Algebraic Expressions EQ How do you add, subtract, factor, multiply algebraic expressions? 7.EE EE EE EE.2.4a 7.EE EE.1.2 MP Model with mathematic s. 2 Apply properties of operations as strategies to add, subtract, factor exp linear expressions with rational coefficients.

6 Clue Words Underst that rewriting an expression in different forms in a problem context can shed light on the problem how the quantities in it are related. 1.2 One-Step Equations EQ How do you use one-step equations with rational coefficients to solve problems? Hs On Equations 1.3 Writing Two-Step Equations EQ How do you write a twostep equation? 1.4 Solving Two-Step Equations EQ How do you solve a twostep equation? Hs On Equations Ready to go on? 7.EE.2.4 MP Look for make use of structure. 7.EE.2.4 MP Make sense of problems persevere in solving them. 7.EE.2.4a MP Model with Mathematic s 2 Use variables to represent quantities in a real-world or mathematical problem, construction simple equations to solve problems by reasoning about the quantities. 2 Use variables to represent quantities in a real-world or mathematical problem, construction simple equations to solve problems by reasoning about the quantities. 2 Use variables to represent quantities in a real-world or mathematical problem, construction simple equations to solve problems by reasoning about the quantities. Module 1 Review 1 Module 1 Assessment 1 2 nd 9-weeks There are 38 teaching days. 10/19/15 12/20/15 Teacher Planning Day 10/16/15 Veteran s Day 11/11/15 Thanksgiving Holiday 11/25/15-11/27/15 Middle School Exams Mid-Year Progress Monitoring Test (Early Release Days) 12/16/15 12/17/15 12/18/15

7 Florida Stards Module 2 Inequalities 7.EE.2.4b 2.1 Writing Solving One- Step Inequalities EQ How do you write solve one-step inequalities? 2.2 Writing Two-Step Inequalities EQ How do you write a twostep inequality? 2.3 Solving Two-Step Inequalities EQ How do you solve a twostep inequality? Module Review Ready to go on? 7.EE.2.4b MP Make sense of problems persevere in solving them. 7.EE.2.4 MP Reason abstractly & quantitativel y 7.EE.2.4b MP 5.1 Using Tools 2 2 Use variables to represent quantities in a real-world or mathematical problem, construct simple inequalities to solve problems by reasoning about the quantities. Use variables to represent quantities in a real-world or mathematical problem, construction simple equations to solve problems by reasoning about the quantities. 2 Use variables to represent quantities in a real-world or mathematical problem, construction simple equations to solve problems by reasoning about the quantities. 1 Module 2 Assessment 1 Unit 1 Review 1 Unit 1 Test 1 Florida Stards

8 Unit 2 Geometry Module 3 Geometric Figures 3.1 Similar Shapes Scale Drawings EQ How can you use scale drawings to solve problems? 3.2 Geometric Drawings EQ How can you draw shapes that satisfy given conditions? 3.3 Cross Sections EQ How can you identify cross sections of threedimensional figures? 3.4 Angle Relationships Time for Quiz on Angles? EQ How can you use angle relationships to solve problems? 7.G G G G G.1.1 MP Model with mathematics. 7.G.1.2 MP Using appropriate tools. 7.G.1.3 MP Model with mathematics 7.G.2.5 MP Reason abstractly quantitatively. 2-3 Solve problems involving scale drawings of geometric figures, including computing actual lengths & areas from a scale drawing & reproducing a scale drawing at a different scale. 2 Draw geometric shapes, with given conditions. Focus on constructing triangles. 1 Describe the two-dimensional figures that result from slicing three-dimensional figures 3 Use facts about supplementary, complementary, vertical, adjacent angles in a multi-step problem to write & solve simple equations for an unknown angle in a figure. Ready to go on? / Module 1 Review Module 3 Assessment 1 Florida Stards Module 4 Circumference, Area, Volume 7.G G Circumference 7.G Find the circumference of a circle.

9 EQ: How do you find use the circumference of a circle? 4.2 Area of Circles EQ: How do you find the area of a circle? 4.3 Area of Composite Figures EQ: How do you find the area of composite figures? MP7.1 Using Structure 7.G.2.4 MP G.2.6 MP.5.1 Using Tools 1 Know the formulas for the area circumference of a circle use them to solve problems. 2 Solve real-world mathematical problems involving area, volume, surface area of two- threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, right prisms. 4.4 Solving Surface Area Problems EQ: How can you find the surface area of a figure made up of cubes prisms? 7.G.2.6 MP Solve real-world mathematical problems involving area, volume, surface area of two- threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, right prisms 4.5 Solving Volume Problems EQ: How can you find the volume of a figure made of cubes prisms? 7.G.2.6 MP.7.1 Using Structure 2 Solve real world mathematical problems involving area, volume, surface area of two- threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, right prisms. Module 4 Review Ready to go on? 1 Module 4 Assessment 1 Teachers should complete Module 4 by 12/11/15 Winter Holidays 12/21/15 1/3/16 3 rd 9-weeks There are 48 teaching days. 1/5/15 3/11/16 Teacher Planning Day 1/4/16 Martin Luther King, Jr. Holiday 1/18/16

10 Florida Stards Unit 3 Statistics Sampling Module 5 Rom Samples Populations 7.SP SP Populations Samples EQ: How can you use a sample to fain information about a population? Making Inferences from a Rom Sample EQ: How can you use a sample to gain information about a population? 7.SP.1.1 MP.6.1 Precision 7.SP SP SP.1.2c MP Model with mathematics. 1 Underst that rom sampling tends to produce representative samples & support valid inferences. 1 Use data from a rom sample to draw inferences about a population with an unknown characteristic of interest. Module 5 Review 1 Ready to Go On? pg Florida Stards MODULE 6 - ANALYZING & COMPARING DATA 7.SP SP.2.4

11 Lesson Comparing Data Displayed in Dot Plots EQ: How can you compare two sets of data displayed in dot plots? Lesson Comparing Data Displayed in Box Plots EQ: How can you compare data displayed in box plots? Lesson Using Statistical Measures to Compare Populations EQ: How can you use statistical measures to compare populations? Module 6 Review Ready to Go On? pg SP SP.2.4 MP Look for & make use of structure. 7.SP SP.2.4 MP.2.1- Reason abstractly quantitativel y. 7.SP SP.2.4 MP Attend to Precision. 1 Use measures of center measures of variability to draw informal comparative inferences about two populations. 2 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities. 2 Informally assess two numerical data distributions measuring the difference between the centers by expressing it as a multiple of a measure of variability. 1 Module 6 Assessment 1 Unit 3 Review 1 Unit 3 Assessment 1 Florida Stards Module 7 Experimental Probability Module 8 Theoretical Probability Simulations TEACHERS: **Check with Vicki Register if you need to check out sets of regular dice /or polyhedra dice for your students to preform experiments.

12 We have combined these 2 modules. We felt that experimental theoretical probability should be taught together not as two separate modules. You will have to prepare the lessons together ahead of time. Use REAL WORLD PROBLEMS as often as possible because that is how the students will be tested! She also has worksheets for the experiments (including frequency tables) graphs to represent those experiments if you wish to use them. Experiments with dice, coins, marbles would be helpful in showing the different in theoretical probability (what should happen) with the experimental probability (what happens in real life ) Probability EQ: How can you describe the likelihood of an event? 8.1 Theoretical Probability of Simple Events EQ: How can you find the theoretical probability of a simple event? Experimental Probability of Simple Events EQ: How do you find the experimental probability of a simple event? 8.2 Theoretical Probability of Compound Events EQ: How do you find the theoretical probability of a compound event? Lesson Experimental Probability of Compound Events 7.SP SP3.7a MP Attend to Precision. 7.SP SP.3.7a MP7.1 Using Structure 7.SP SP.3.7b MP Model with mathematics. 7.SP SP.3.8a 7.SP.3.8b MP.2.1 Reasoning 7.SP SP.3.8a 7.SP.3.8b 7.SP.3.8c 1 Underst that the probability of a chance event is a number between 0 & 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. 1 Develop a probability model use the model to determine probabilities of events. Approximate the probability of an event by collecting data, observing its frequency, predict the relative frequency. 1 Approximate the probability of a chance event by collecting data on the chance process that produces it & observing its long-run relative frequency. 1 Find probabilities of compound events using organized lists, tables, tree diagrams, simulations. 1 Find probabilities of compound events using tables simulations.

13 EQ: How do you find the experimental probability of a compound event? Lesson Making Predictions with Experimental Probability EQ: How do you make predictions using experimental probability? 2 days so you can do experiments use coins or dice MP Reason abstractly quantitativel y. 7.SP.3.6 MP Model with mathematics. 1 Approximate the probability of a chance event by collecting data on the chance process that produces it, predict the approximate relative frequency given the probability. 8.3 Predictions with Theoretical Probability EQ: How do you make predictions using theoretical probability? 7.SP SP.3.7a MP Probability Review 1 Probability Test 1 Unit 4 Review 1 Unit 4 Test 1 1 Approximate the probability of a chance by collecting data, observing its relative frequency, predicting the relative frequency given the probability. Florida Stards Unit 5 Real Numbers, Exponents, Scientific Notation Module 9 - Real Numbers 8.NS NS.1.2

14 9.1 Rational Irrational Numbers EQ: How do you rewrite rational numbers decimals, take square roots cube roots? 9.2 Sets of Real Numbers EQ: How can you describe relationships between sets of real numbers? 8.NS NS EE NS.1.1 MP.7.1 Using Structure 1 Know underst characteristics of rational irrational numbers. Underst that every number has a decimal expansion. Use rational approximations of irrational numbers to compare size of irrational numbers, locate them on a number line (approx.) estimate the value of expressions (e.g. squared) Use square cube root symbols to represent solutions to equations. Know that 2 is irrational. 1 Know underst characteristics of rational irrational numbers. Underst that every number has a decimal expansion. 9.3 Ordering Real Numbers EQ: How do you order a set of real numbers? Module 9 Review Ready to Go On? 8.NS1.2 MP.4.1 Module 9 Test 1 1 Compare size of irrational numbers, locate them approximately on a number line diagram, estimate the value of expressions (e.g.π 2 ) 1 Florida Stards Module 10 Exponents Scientific Notation 10.1 Integer Exponents EQ: How can you develop use the properties of integer exponents? 8.EE EE EE EE.1.1 MP.8.1 Patterns 1 Know apply the properties of integer exponents to generate equivalent numerical expressions.

15 10.2 Scientific Notation with Positive Powers of 10 EQ: How can you use scientific notation to express very large numbers? 8.EE.1.3 MP Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small numbers, to express how many times as much one is than the other Scientific Notation with Negative Powers of 10 EQ: How can you use scientific notation to express very small numbers? 8.EE.1.3 MP.2.1 Reasoning Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small numbers, to express how many times as much one is than the other Operations with Scientific Notation EQ: How do you add, subtract, multiply, divide using scientific notation? Module 10 Review Ready to Go On? 8.EE.1.4 MP.1.1 Problem Solving 1 Perform operations with numbers expressed in scientific notation, including problems where both decimal scientific notation are used. 1 Module 10 Assessment 1 Unit 5 Review 1 Unit 5 Test 1 Florida Stards Review Module 1 Review Module 2 Review Module 3 Review Modules before FSA Testing in April These Modules are all in the 7 th Grade General Book.

16 Review Module 4 Review Module 5 Review Module 6 Review Module 1 These Modules are all in the 7 th Grade Advanced Book. Review Module 2 Review Module 3 Review Module 4 Review Module 5 Review Module 6 Review Module 7 Review Module 8 FSA Window is 4/13 5/8 Check with your testing coordinator about times for your school. Teachers Use the time both during after the FSA to either dig deeper into an area from during the year, or move on to the next grade level of lessons. Below is s suggested option which begins in Module 9 of the Advanced 2, 7 th. Spring Break 3/14/16 3/18/16 Teacher Planning Day 3/21/16 4 th 9-weeks There are 46 teaching days... (less the testing days field trips) Middle School Exams - (Early Release Days) Florida Stards 3/22/16 5/27/16 5/25/16 5/26/16 5/27/16

17 Unit 6 Proportional Nonproportional Relationships Functions Module 11 Proportional Relationships 8.EE EE F F Representing Proportional Relations EQ How can you use tables, graphs, equations to represent proportional relationships? 11.3 Interpreting the Unit Rate Slope EQ How do you interpret the unit rate as slope? Module Review Ready to Go On? 8.EE F.2.4 MP EE F F.2.4 MP Use tables, graphs, equations to represent proportional situations. 2 Interpret the unit rate as slope. 1 Module 11 Assessment 1 Florida Stards Module 12 Nonproportional Relationships 12.1 Representing Linear Nonproportional Relationships EQ How can you use tables, graphs, equations to represent linear nonproportional situations? 8.EE F F F F.1.3 MP Interpret the equation y=mx+b as defining a linear function, whose graph is a straight line: give examples of nonlinear functions.

18 12.2 Determining Slope y- intercept EQ - How do you find a rate of change or a slope 12.3 Graphing Linear Non- Proportional Relationships using slope y-intercept? EQ How can you graph a line using the slope y- intercept? 12.4 Proportional Nonproportional Situations EQ How can you distinguish between proportional nonproportional situations? 8.NS NS EE.1.2 MP 7.1 Structure 8.NS.1.1 MP 6.1 Precision 8.NS NS EE.1.2 MP 6.1 Precision 1 Derive the equation y=mx for a line through the origin the equation y=mx+b for a lline intercepting the vertical axis at b. 1 Use measures of center measures of variability for numerical data from rom samples to draw informal comparative inferences about two populations. Determine the rate of change initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change initial value of a linear function in terms of the situation it models, in terms of its graph or a table of values. 1 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Interpret the equation y=mx+b as defining a linear function, whose graph is a straight line: give examples of nonlinear functions. Determine the rate of change initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change initial value of a linear function in terms of the situation it models, in terms of its graph or a table of values. Module Review Ready to Go On? Module 12 Assessment 1 Great Opportunity for an Activity or Project to Assess Student Learning

19 Florida Stards Module 19 Angle Relationships in Parallel Lines Triangles 8.EE EE EE.3.7b 8.G.1.5 Performance Scales: 4 In addition to score 3.0 performance, the student demonstrates in-depth inferences applications that go beyond what was taught. E.Q.- How can you use angle relationships in parallel likes triangles to solve real-world problems? Lesson Parallel Lines cut by Transversal (include complementary, supplementary, vertical adjacent) E.Q.- What can you conclude about the angles formed by parallel lines that are cut by a transversal? Lesson Angle Theorems for Triangles E.Q.- What can you conclude about the measures of the angles of a triangle? 8.G.1.5 MP.6.1- Precision 8.EE EE.3.7b 8.G.1.5 MP.5.1- Using Tools 3 The student will: Use informal arguments to establish facts about the angle sum exterior angles of triangles, about the angles created when parallel lines are cut by a transversal, about the angle-angle criterion for similarity of triangles 2 The student will recognize or recall specific vocabulary, such as: Angle, angle sum, angle-angle criterion, argument, cut, exterior angle, fact, line, parallel, similarity, transversal, triangle The student will perform basic processes, such as: Recognize or recall facts about angle sum exterior angles of triangles, the angles created when parallel lines are cut by a transversal, the angle-angle criterion for similarity of triangles 1 With help, partial success at score 2.0 content score 3.0 content 2 Use informal arguments to establish facts about the angle sum exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, the angle-angle criterion for similarity of triangles. 2 Solve linear equations in one variable. Solve linear equations with rational number coefficients, including equations whose solutions require exping expressions using the distributive property collecting like terms. Use informal arguments to establish facts about the angle sum exterior angle of triangles, about the angles created when

20 Lesson Angle Angle Similarity E.Q.- How can you determine when two triangles are similar? 8.EE EE G.1.5 MP.4.1- parallel lines are cut by a transversal, the angle-angle criterion for similarity of triangles. 2 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y=mx for a line through the origin the equation y=mx+b for a line intercepting the vertical axis at b. Solve linear equations in one variable. Use informal arguments to establish facts about the angle sum exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, the angle-angle criterion for similarity of triangles. Module 19 Review 1 Great Opportunity for an Activity or Project to Assess Student Learning Module 19 Assessment 1 Florida Stards Module 20 The Pythagorean Theorem E.Q. - How can you use the Pythagorean Theorem to solve realworld problems? 8.G G G.2.8 Performance Scales: 4 In addition to score 3.0 performance, the student demonstrates in-depth inferences applications that go beyond what was taught. 3 The student will: Explain the converse of a proof of the Pythagorean theorem Use the Pythagorean theorem to determine unknown side lengths solve problems in three dimensions Use the Pythagorean Theorem to find the distance between two points 2 The student will recognize or recall specific vocabulary, such as: Converse, coordinate system, dimension, distance, length, point, proof, Pythagorean theorem, side, unknown The student will perform basic processes, such as: Explain a proof of the Pythagorean theorem Use the Pythagorean theorem to determine unknown side lengths solve problems in two dimensions Explain that the Pythagorean theorem to find the distance between two points in a coordinate system 1 With help, partial success at score 2.0 content score 3.0 content

21 Lesson The Pythagorean Theorem E.Q. - How can you prove the Pythagorean Theorem use it to solve problems? Lesson Converse of the Pythagorean Theorem E.Q. - How can you test the converse of the Pythagorean Theorem use it to solve problems? Lesson Distance Between Two Points E.Q. - How can you use the Pythagorean Theorem to find the distance between two points on a coordinate plane? 8.G G.2.7 MP.5.1- Using Tools 8.G.2.6 MP.7.1- Structure 8.G.2.8 MP.2.1- Reasoning 1-2 Explain a proof of the Pythagorean Theorem its converse. Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world mathematical problems in two three dimensions. 1 Explain a proof of the Pythagorean Theorem its converse. 1 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. Module 20 Review 1 Module 20 Assessment 1 Great Opportunity for an Activity or Project to Assess Student Learning Final Exam Days (Early Release Days) 5/25/16 5/26/16 5/27/16