Lesson Plan1.1 Adding Integers with the Same Sign Day

Transcription

1 Lesson Plan1.1 Adding Integers with the Same Sign Essential QuestionHow do you add integers with the same sign? CC: 7.NS.1 Apply and extend previous understandings ofaddition and subtraction to add and subtractrational numbers; represent addition andsubtraction on a horizontal or vertical numberline diagram.7.ns.1b Understand p + q as the number locateda distance q from p, in the positive ornegative direction depending on whetherq is positive or negative. Show that a numberand its opposite have a sum of 0 (are additiveinverses). Interpret sums of rational numbersby describing real-world contexts.7.ns.1d Apply properties of operations as strategies toadd and subtract rational numbers.mp.5using tools. Explore Activity1 (SE and ese): 1 2 Explore Activity 2 (SE and ese): 3 8, 19 Example 1 (SE and ese): 9 16, 18, Full Lesson (SE and ese): 1 26 Online Homework (PMT): 1 17,19 25 odd Problem C

2 Lesson Plan1.2 Adding Integers with Different Signs Essential QuestionHow do you add integers different signs? CC: 7.NS.1 Apply and extend previous understandings ofaddition and subtraction to add and subtractrational numbers; represent addition andsubtraction on a horizontal or vertical numberline diagram.7.ns.1b Understand p + q as the number locateda distance q from p, in the positive ornegative direction depending on whetherq is positive or negative. Show that a numberand its opposite have a sum of 0 (are additiveinverses). Interpret sums of rational numbersby describing real-world contexts.mp.5using tools. Explore Activity1 (SE and ese): 1 4 Explore Activity 2 (SE and ese): 5 8 Example 1 (SE and ese): 9 14, Full Lesson (SE and ese): 1 34 Online Homework (PMT): 1 15,17 33 odd Problem C

3 Lesson Plan1.3 Subtracting Integers Essential QuestionHow do you subtract integers? CC: 7.NS.1c Understand subtraction of rational numbers asadding the additive inverse, p q = p + ( q).show that the distance between two rationalnumbers on the number line is the absolutevalue of their difference, and apply thisprinciple in real-world contexts.7.ns.1 Apply and extend previous understandings ofaddition and subtraction to add and subtractrational numbers; represent addition andsubtraction on a horizontal or vertical numberline diagram.mp.2reasoning. Animated Math (ese) Explore Activity1 (SE and ese): 1 2 Explore Activity 2 (SE and ese): 3 4 Example 1 (SE and ese): 5 14, Full Lesson (SE and ese): 1 25 Online Homework (PMT): 1 15,17 24 odd Problem C

4 Teacher's Name Class Date Lesson Plan1.4 Applying Addition and Subtraction of Integers Essential QuestionHow do you solve multistep problems involving addition and subtraction of integers? CC: 7.NS.3 Solve real-world and mathematical problemsinvolving the four operations with rationalnumbers.7.ns.1 Apply and extend previous understandings ofaddition and subtraction to add and subtractrational numbers; represent addition andsubtraction on a horizontal or vertical numberline diagram.7.ns.1d Apply properties of operations as strategies toadd and subtract rational numbers.7.ee.3 Solve multi-step real-life and mathematicalproblems posed with positive and negativerational numbers in any form (wholenumbers, fractions, and decimals), using toolsstrategically. Apply properties of operationsto calculate with numbers in any form; convertbetween forms as appropriate; and assessthe reasonableness of answers using mentalcomputation and estimation strategies.mp minute Classes: 2 days 90-minute Classes: 1 day Other Engage with the Whiteboard (TE) Example 1 (SE and ese): 1 3, Example 2 (SE and ese): 4 9, Example 3 (SE and ese): 10 11, Full Lesson (SE and ese): 1 23 Online Homework (PMT): 1 12,13 23 odd Problem C

5 Teacher's Name Class Date Lesson Plan2.1 Multiplying Integers Essential QuestionHow do you multiply integers? CC: 7.NS.2 Apply and extend previous understandings ofmultiplication and division and of fractions tomultiply and divide rational numbers.7.ns.2a Understand that multiplication is extendedfrom fractions to rational numbers byrequiring that operations continue to satisfythe properties of operations, particularly thedistributive property, leading to products suchas ( 1)( 1) = 1 and the rules for multiplyingsigned numbers. Interpret products of rationalnumbers by describing real-world contexts.mp.2reasoning. Animated Math (ese) Explore Activity 1 (SE and ese): 14 17, 19 Explore Activity 2 (SE and ese): 1 12 Example 1 (SE and ese): 1 13, Full Lesson (SE and ese): 1 30 Online Homework (PMT): 1 18,19 29 odd Problem C Copyright Hougthon Mifflin Harcourt. 1 Houghton Mifflin Harcourt Mathematics

6 Teacher's Name Class Date Lesson Plan2.2 Dividing Integers Essential QuestionHow do you divideintegers? CC: 7.NS.2 Apply and extend previous understandings ofmultiplication and division and of fractions tomultiply and divide rational numbers.7.ns.2b Understand that integers can be divided,provided that the divisor is not zero, and everyquotient of integers (with non-zero divisor) is arational number. If p and q are integers, then (p/q) = ( p)/q = p/( q). Interpret quotients ofrational numbers by describing real-worldcontexts.7.ns.3 Solve real-world and mathematical problemsinvolving the four operations with rationalnumbers.mp.7using structure. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Explore Activity (SE and ese): Example 1 (SE and ese): 1 14, Example 2 (SE and ese): 15 18, Full Lesson (SE and ese): 1 30 Online Homework (PMT): 1 19,21 29 odd Problem C

7 Lesson Plan2.3 Applying Integer Operations Essential QuestionHow can you use integer operations to solve real-world problems? CC: 7.NS.3 Solve real-world and mathematical problemsinvolving the four operations with rationalnumbers.7.ns.2a Understand that multiplication is extendedfrom fractions to rational numbers byrequiring that operations continue to satisfythe properties of operations, particularly thedistributive property, leading to products suchas ( 1)( 1) = 1 and the rules for multiplyingsigned numbers. Interpret products of rationalnumbers by describing real-world contexts.7.ns.2c Apply properties of operations as strategies tomultiply and divide rational numbers.7.ee.3 Solve multi-step real-life and mathematicalproblems posed with positive and negativerational numbers in any form (wholenumbers, fractions, and decimals), using toolsstrategically. Apply properties of operationsto calculate with numbers in any form; convertbetween forms as appropriate; and assessthe reasonableness of answers using mentalcomputation and estimation strategies.mp.4modeling. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Engage with the Whiteboard (TE) Example 1 (SE and ese): 1 6, Example 2 (SE and ese): 7 10, Example 3 (SE and ese): Full Lesson (SE and ese): 1 29 Online Homework (PMT): 1 15,17 29 odd Problem C

8 Lesson Plan3.1 Rational Numbers and Decimals Essential QuestionHow do you convert a rational number to a decimal? CC: 7.NS.2d Convert a rational number to a decimal usinglong division; know that the decimal form of arational number terminates in 0s or eventuallyrepeats.7.ns.2b Understand that integers can be divided,provided that the divisor is not zero, and everyquotient of integers (with non-zero divisor) is arational number. If p and q are integers, then (p/q) = ( p)/q = p/( q). Interpret quotients ofrational numbers by describing real-worldcontexts.mp.3logic. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Explore Activity (SE and ese): 1 9, 24 Example 1 (SE and ese): 1 9, 19 22, 25, 28 Example 2 (SE and ese): 10 17, 25 Full Lesson (SE and ese): 1 31 Online Homework (PMT): 1 18, odd Problem C

9 Lesson Plan3.2 Adding Rational Numbers Essential QuestionHow do you add rational numbers? CC: 7.NS.1d Apply properties of operations as strategies toadd and subtract rational numbers.7.ns.1a Describe situations in which oppositequantities combine to make 0. 7.NS.1b Understand p + q as the number locateda distance q from p, in the positive ornegative direction depending on whetherq is positive or negative. Show that a numberand its opposite have a sum of 0 (are additiveinverses). Interpret sums of rational numbersby describing real-world contexts.7.ns.3 Solve real-world and mathematical problemsinvolving the four operations with rationalnumbers.mp.2reasoning. Engage with the Whiteboard (TE) Example 1 (SE and ese): 1 4, 20 Example 2 (SE and ese): 5, 6, 19, 21, 24, 25 Example 3 (SE and ese): 7, 8, 18 Example 4 (SE and ese): 9 16, 22, 23, 26 Full Lesson (SE and ese): 1 31 Online Homework (PMT): 1 17, odd Problem C

10 Lesson Plan3.3 Subtracting Rational Numbers Essential QuestionHow do you subtract rational numbers? CC: 7.NS.1c Understand subtraction of rational numbers asadding the additive inverse, p q = p + ( q).show that the distance between two rationalnumbers on the number line is the absolutevalue of their difference, and apply thisprinciple in real-world contexts.7.ns.1 Apply and extend previous understandings ofaddition and subtraction to add and subtractrational numbers; represent addition andsubtraction on a horizontal or vertical numberline diagram.mp.2reasoning. Example 1 (SE and ese): 2 5, 7, 11, 12, 16, 22, 23 Example 2 (SE and ese): 1, 8, 9, 13 Explore Activity 1 (SE and ese): 5 12, 14, 16, 24 Explore Activity 2 (SE and ese): 13, 18, 19 Full Lesson (SE and ese): 1 28 Online Homework (PMT): 1 15, odd Problem C

11 Lesson Plan3.4 Multiplying Rational Numbers Essential QuestionHow do you multiply rational numbers? CC: 7.NS.2 Apply and extend previous understandings ofmultiplication and division and of fractions tomultiply and divide rational numbers.7.ns.2a Understand that multiplication is extendedfrom fractions to rational numbers byrequiring that operations continue to satisfythe properties of operations, particularly thedistributive property, leading to products suchas ( 1)( 1) = 1 and the rules for multiplyingsigned numbers. Interpret products of rationalnumbers by describing real-world contexts.7.ns.2c Apply properties of operations as strategies tomultiply and divide rational numbers.mp.2reasoning. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Engage with the Whiteboard (TE) Example 1 (SE and ese): 1, 2, 5, 6, 10, 15, 16, 18, 21, 22 Example 2 (SE and ese): 3, 4, 7 9, 19, 20, 23 Example 3 (SE and ese): Full Lesson (SE and ese): 1 28 Online Homework (PMT): 1 17, odd Problem C

12 Lesson Plan3.5 Dividing Rational Numbers Essential QuestionHow do you divide rational numbers? CC: 7.NS.2 Apply and extend previous understandings ofmultiplication and division and of fractions tomultiply and divide rational numbers.7.ns.2b Understand that integers can be divided,provided that the divisor is not zero, and everyquotient of integers (with non-zero divisor) is arational number. If p and q are integers, then (p/q) = ( p)/q = p/( q). Interpret quotients ofrational numbers by describing real-worldcontexts.7.ns.2c Apply properties of operations as strategies tomultiply and divide rational numbers.mp.4modeling. Explore Activity 1 (SE and ese): 1 21, 27 Explore Activity 2 (SE and ese): 1 21 Example 1 (SE and ese): 1 21, Full Lesson (SE and ese): 1 31 Online Homework (PMT): 1 21, odd Problem C

13 Lesson Plan3.6 Applying Rational Number Operations Essential QuestionHow do you use different forms of rational numbers and strategically choose tools to solve problems? CC: 7.EE.3 Solve multi-step real-life and mathematicalproblems posed with positive and negativerational numbers in any form (wholenumbers, fractions, and decimals), using toolsstrategically. Apply properties of operationsto calculate with numbers in any form; convertbetween forms as appropriate; and assessthe reasonableness of answers using mentalcomputation and estimation strategies.7.ns.3 Solve real-world and mathematical problemsinvolving the four operations with rationalnumbers.mp minute Classes: 2 days 90-minute Classes: 1 day Other Engage with the Whiteboard (TE) Example 1 (SE and ese): Example 2 (SE and ese): 1, 8 10 Example 3 (SE and ese): 2, 3, Full Lesson (SE and ese): 1 16 Online Homework (PMT): 1 3, 5 15 odd Problem C

14 Lesson Plan4.1 Unit Rates Essential QuestionHow do you find and use unit rates? CC: 7.RP.1 Compute unit rates associated with ratios offractions, including ratios of lengths, areas andother quantities measured in like or differentunits.mp.4modeling. Explore Activity(SE and ese): 1 21 Example 1 (SE and ese): 2 5, 11, 12 Example 2 (SE and ese): 6, 7, 9, 12 Full Lesson (SE and ese): 1 16 Online Homework (PMT): 1 8, 9 15 odd Problem C

15 Lesson Plan4.2 Constant Rates of Change Essential QuestionHow can you identify and represent proportional relationships? CC: 7.RP.2 Recognize and represent proportionalrelationships between quantities.7.rp.2a Decide whether two quantities are in aproportional relationship, e.g., by testing forequivalent ratios in a table or graphing on acoordinate plane and observing whether thegraph is a straight line through the origin.7.rp.2b Identify the constant of proportionality(unit rate) in tables, graphs, equations,diagrams, and verbal descriptions ofproportional relationships.mp.2reasoning. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Explore Activity(SE and ese): 1, 9 Example 1 (SE and ese): 1, 6, 10, 13 Example 2 (SE and ese): 2-4, 5, 11, 14 Full Lesson (SE and ese): 1 17 Online Homework (PMT): 1 4, 5 17 odd Problem C

16 Lesson Plan4.3 Proportional Relationships and Graphs Essential QuestionHow can you use graphs to represent and analyze proportional relationships? CC: 7.RP.2a Decide whether two quantities are in aproportional relationship, e.g., by testing forequivalent ratios in a table or graphing on acoordinate plane and observing whether thegraph is a straight line through the origin.7.rp.2b Identify the constant of proportionality(unit rate) in tables, graphs, equations,diagrams, and verbal descriptions ofproportional relationships.7.rp.2c Represent proportional relationships byequations.7.rp.2d Explain what a point (x, y) on the graph of aproportional relationship means in terms of thesituation, with special attention to the points(0, 0) and (1, r) where r is the unit rate.mp.4modeling. Animated Math (ese) Explore Activity(SE and ese): 1 2 Example 1 (SE and ese): 3 4 Example 2 (SE and ese): 5 7 Full Lesson (SE and ese): 1 21 Online Homework (PMT): 1 7, 9 21 odd Problem C

17 Lesson Plan5.1 Percent Increase and Decrease Essential QuestionHow do you use percents to describe change? CC: 7.RP.3 Use proportional relationships to solvemultistep ratio and percent problems.mp.2reasoning. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Example 1(SE and ese): 1 7, 23, 25 Example 2 (SE and ese): 8 14, 24, 25 Example 3 (SE and ese): 15 21, 26 Full Lesson (SE and ese): 1 29 Online Homework (PMT): 1 22, odd Problem C

18 Lesson Plan5.2 Rewriting Percent Expressions Essential QuestionHow can you rewrite expressions to help you solve markup and markdown problems? CC: 7.RP.2 Recognize and represent proportionalrelationships between quantities.7.rp.3 Use proportional relationships to solvemultistep ratio and percent problems.7.sp.3 Informally assess the degree of visual overlapof two numerical data distributions with similarvariabilities, measuring the difference betweenthe centers by expressing it as a multiple of ameasure of variability.mp.5using tools. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Animated Math (ese) Example 1(SE and ese): 1 7, 15, 16 Example 2 (SE and ese): 8 11, Full Lesson (SE and ese): 1 20 Online Homework (PMT): 1 12, odd Problem C

19 Lesson Plan5.3 Applications of Percent Essential QuestionHow do you use percents to solve problems? CC: 7.RP.3 Use proportional relationships to solvemultistep ratio and percent problems.7.sp.3 Informally assess the degree of visual overlapof two numerical data distributions with similarvariabilities, measuring the difference betweenthe centers by expressing it as a multiple of ameasure of variability.mp.4modeling. Connect to Daily Life (TE) Example 1(SE and ese): 1 8, 14, 18 20, 24 Example 2 (SE and ese8): 9, 10 Example 3 (SE and ese): 11, 12, 15 17, Full Lesson (SE and ese): 1 26 Online Homework (PMT): 1 13, odd Problem C

20 Lesson Plan6.1 Algebraic Expressions Essential QuestionHow do you add, subtract, factor, and multiply algebraic expressions? CC: 7.EE.1 Apply properties of operations as strategiesto add, subtract, factor, and expand linearexpressions with rational coefficients.7.ee.2 Understand that rewriting an expression indifferent forms in a problem context can shedlight on the problem and how the quantities init are related.mp.4modeling. Example 1 (SE and ese): 1, 2, 9, 10, 14, 15 Example 2(SE and ese): 3, 4, 13 Explore Acitivity (SE and ese): 5 9, 11, 12 Full Lesson (SE and ese): 1 19 Online Homework (PMT): 1 8, 9 19 odd Problem C

21 Lesson Plan6.2 One-Step Equations with Rational Coefficients Essential QuestionHow do you use one-step equations with rational coefficients to solve problems? CC: 7.EE.4 Use variables to represent quantities in areal-world or mathematical problem, andconstruct simple equations and inequalitiesto solve problems by reasoning about thequantities.mp.7using structure. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Connect to Daily Life(TE) Example 1 (SE and ese): 1 5 Example 2(SE and ese): 1, 6 9, Example3 (SE and ese): 2, 10, 11, 16, 18 Full Lesson (SE and ese): 1 21 Online Homework (PMT): 1 6, 7 21 odd Problem C Copyright Houghton Mifflin Harcourt. 1 Houghtn Mifflin Harcourt Mathematics

22 Lesson Plan6.3 Writing Two-Step Equations Essential QuestionHow do you write a two-step equation? CC: 7.EE.4 Use variables to represent quantities in areal-world or mathematical problem, andconstruct simple equations and inequalitiesto solve problems by reasoning about thequantities.mp.1. Explore Acivity (SE and ese): 1 2, 7 Example 1 (SE and ese): 3, 8 15 Example 2 (SE and ese): 4, 5, 14 Full Lesson (SE and ese): 1 18 Online Homework (PMT): 1 6, 7 17 odd Problem C

23 Lesson Plan6.4 Solving Two-Step Equations Essential QuestionHow do you solve a two-step equation? CC: 7.EE.4a Solve word problems leading to equations ofthe form px + q = r and p(x + q) = r, wherep, q, and r are specific rational numbers.solve equations of these forms fluently.compare an algebraic solution to an arithmeticsolution, identifying the sequence of theoperations used in each approach.7.ee.4 Use variables to represent quantities in arealworld or mathematical problem, andconstruct simple equations and inequalitiesto solve problems by reasoning about thequantities.mp.4modeling. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Animated Math (ese) Example 1 (SE and ese): 1 2 Example 2 (SE and ese): 3, 18, 19, 22, 23, 24, 27 Example3 (SE and ese): 4, 20, 21, 25, 236 Full Lesson (SE and ese): 1 34 Online Homework (PMT): 1 5, 7 33 odd Problem C

24 Lesson Plan7.1 Writing and Solving One-Step Inequalities Essential QuestionHow do you write and solve one-step inequalities? CC: 7.EE.4b Solve word problems leading to inequalitiesof the form px + q>r or px + q<r, where p, q,and r are specific rational numbers. Graph thesolution set of the inequality and interpret it inthe context of the problem.mp.1. Animated Math (ese) Explore Activity (SE and ese): 1 4 Example 1 (SE and ese): 5, 6, 11, 12, 15 Example2 (SE and ese): 7, 8, 13, 14, 16 Example 3 (SE and ese): 9, Full Lesson (SE and ese): 1 28 Online Homework (PMT): 1 10,11 27odd Problem C

25 Lesson Plan7.2 Writing Two-Step Inequalities Essential QuestionHow do you write a two-step inequality? CC: 7.EE.4a Solve word problems leading to equations ofthe form px + q = r and p(x + q) = r, wherep, q, and r are specific rational numbers.solve equations of these forms fluently.compare an algebraic solution to an arithmeticsolution, identifying the sequence of theoperations used in each approach.mp.2reasoning. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Explore Acitivities (SE, ese) Explore Acitivity (SE and ese): 1, 2 Example 1 (SE and ese): 3, 7 14 Example2 (SE and ese): 4, 5, 15 Full Lesson (SE and ese): 1 25 Online Homework (PMT): 1 6, 7 25 odd Problem C Copyright Houghton Mifflin Harcourt. 1 Houghton Mifflin Harcourt Mathematics

26 Lesson Plan7.3 SolvingTwo-Step Inequalities Essential QuestionHow do you solve a two-step inequality? CC: 7.EE.4b Solve word problems leading to inequalitiesof the form px + q>r or px + q<r, where p, q,and r are specific rational numbers. Graph thesolution set of the inequality and interpret it inthe context of the problem.mp.5using tools. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Focus on Math Connections (TE) Example 1 (SE and ese): 1 Example 2 (SE and ese): 2, 3, 6, 8 17, 21 Example3 (SE and ese): 4 6 Full Lesson (SE and ese): 1 22 Online Homework (PMT): 1 7, 9 21 odd Problem C

27 Lesson Plan8.1 Similar Shapes and Scale Drawings Essential QuestionHow can you use scale drawings to solve problems? CC: 7.G.1 Solve problems involving scale drawings ofgeometric figures, including computing actuallengths and areas from a scale drawing andreproducing a scale drawing at a different scale.mp.4modeling. Explore Activity 1(SE and ese): 1, 6 Example 1 (SE and ese8): 2, 3, 6 Explore Activity2 (SE and ese): 4, 8 Full Lesson (SE and ese): 1 14 Online Homework (PMT): 1 5, 7 13 odd Problem C

28 Lesson Plan8.2 Geometric Drawings Essential QuestionHow can you draw shapes that satisfy given conditions? CC: 7.G.2 Draw (freehand, with ruler and protractor, andwith technology) geometric shapes with givenconditions. Focus on constructing trianglesfrom three measures of angles or sides,noticing when the conditions determine aunique triangle, more than one triangle, or notriangle.mp.5using tools. Animated Math (ese) Explore Activity 1(SE and ese): 2, 4, 7 Explore Activity 2 (SE and ese): 1, 3, 6 Full Lesson (SE and ese): 1 10 Online Homework (PMT): 1 5, 7 9 odd Problem C Copyright Houghton Mifllin Harcourt. 1 Houghton Mifflin Harcourt Mathematics

29 Lesson Plan8.3 Cross Sections Essential QuestionHow can you identify cross sections of three-dimensional figures? CC: 7.G.3 Describe the two-dimensional figures thatresult from slicing three-dimensional figures,as in plane sections of right rectangular prismsand right rectangular pyramids.mp.4modeling. Explore Activity 1 (SE and ese): 1 Explore Activity 2 (SE and ese): 2 4, 6, 7 Full Lesson (SE and ese): 1 10 Online Homework (PMT): 1 5, 7 9 odd Problem C

30 Lesson Plan8.4 Angle Relationships Essential QuestionHow can you use angle relationships to solve problems? CC: 7.G.5 Use facts about supplementary,complementary, vertical, and adjacent anglesin a multi-step problem to write and solvesimple equations for an unknown angle in afigure.mp.2reasoning. Explore Acitivies (SE, ese) Explore Activity (SE and ese): 1 3 Example 1 (SE and ese): 7 13 Example 2 (SE and ese): 4 5, Example3 (SE and ese): Full Lesson (SE and ese): 1 22 Online Homework (PMT): 1 5, 7 21 odd Problem C

31 Lesson Plan9.1 Circumference Essential QuestionHow dou youfind and use the circumference of a circle? CC: 7.G.4 Know the formulas for the area andcircumference of a circle and use them to solveproblems; give an informal derivation of therelationship between the circumference andarea of a circle.mp.7using structure. 45-minute Classes: 2 day 90-minute Classes: 1 day Other Engage with the Whiteboard (TE) Example 1 (SE and ese): 1 5, 7 9, Example 2 (SE and ese): 6 9, Full Lesson (SE and ese): 1 27 Online Homework (PMT): 1 10, odd Problem C

32 Lesson Plan9.2 Area of Circles Essential QuestionHow do you find the area of a circle? CC: 7.G.4 Know the formulas for the area andcircumference of a circle and use them to solveproblems; give an informal derivation of therelationship between the circumference andarea of a circle.mp.4modeling. Explore Acitivity 1 (SE and ese): 1 3 Example 1 (SE and ese): 4 6, 12 17, 19, Explore Acitivity 2 (SE and ese): 7 10, 18, 20 Full Lesson (SE and ese): 1 25 Online Homework (PMT): 1 11, odd Problem C

33 Lesson Plan9.3 Area of Composite Figures Essential QuestionHow do you find the area of composite figures? CC: 7.G.6 Solve real-world and mathematical problemsinvolving area, volume and surface area oftwo- and three-dimensional objects composedof triangles, quadrilaterals, polygons, cubes,and right prisms.mp.5using tools. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Explore Acitivity(SE and ese): 1 Example 1 (SE and ese): 2, 5, 7 Example 2 (SE and ese): 3, 6, 8 10 Full Lesson (SE and ese): 1 15 Online Homework (PMT): 1 4, 5 15 odd Problem C

34 Lesson Plan9.4 Solving Surface Area Problems Essential QuestionHow can you find the surface area of a figure made up of cubes and prisms? CC: 7.G.6 Solve real-world and mathematical problemsinvolving area, volume and surface area oftwo- and three-dimensional objects composedof triangles, quadrilaterals, polygons, cubes,and right prisms.mp.4modeling. Focus on Reasoning (TE) Example 1 (SE and ese8): 1, 4 5 Example2 (SE and ese): 2, 6 11 Full Lesson (SE and ese): 1 16 Online Homework (PMT): 1 3, 5 15 odd Problem C

35 Lesson Plan9.5 Solving Volume Problems Essential QuestionHow can you find the volume of a figure made of cubes and prisms? CC: 7.G.6 Solve real-world and mathematical problemsinvolving area, volume and surface area oftwo- and three-dimensional objects composedof triangles, quadrilaterals, polygons, cubes,and right prisms.mp.7using structure. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Focus on Reasoning (TE) Example 1(SE and ese): 1, 7 9, 11, 14, 15 Example 2 (SE and ese): 2, 5, 10, 15 Example 3 (SE and ese3, 4, 10, 12, 13 Full Lesson (SE and ese): 1 19 Online Homework (PMT): 1 6, 7 19 odd Problem C

36 Lesson Plan10.1 Populations and Samples Essential QuestionHow can you use a sample to gain information about a population? CC: 7.SP.1 Understand that statistics can be used to gaininformation about a population by examininga sample of the population; generalizationsabout a population from a sample are validonly if the sample is representative of thatpopulation. Understand that random samplingtends to produce representative samples andsupport valid inferences.mp.6precision. Explore Activity (SE and ese): 1 Example 1(SE and ese): 2 3, 6 11 Example2 (SE and ese): 4, Full Lesson (SE and ese): 1 16 Online Homework (PMT): 1 5, 7 15 odd Problem C

37 Teacher's Name Class Date Lesson Plan10.2 Making Inferences from a Random Sample Essential QuestionHow can you use a sample to gain information about a population? CC: 7.SP.2 Use data from a random sample to drawinferences about a population with anunknown characteristic of interest. Generatemultiple samples (or simulated samples) of thesame size to gauge the variation in estimates orpredictions.7.sp.1 Understand that statistics can be used to gaininformation about a population by examininga sample of the population; generalizationsabout a population from a sample are validonly if the sample is representative of thatpopulation. Understand that random samplingtends to produce representative samples andsupport valid inferences.mp.4modeling. Animated Math (ese) Explore Activity1 (SE and ese): 1, 3 5, Explore Activity 2 (SE and ese): 2, 3 5, 13 14, Example1 (SE and ese): 6 7, 9 12 Full Lesson (SE and ese): 1 20 Online Homework (PMT): 1 8, 9 19 odd Problem C

38 Lesson Plan10.3 Generating Random Samples Essential QuestionHow can you generate and use random samples to represent a population? CC: 7.SP.2 Use data from a random sample to drawinferences about a population with anunknown characteristic of interest. Generatemultiple samples (or simulated samples) of thesame size to gauge the variation in estimates orpredictions.mp.5using tools. Explore Activity1 (SE and ese): 1 3, 8 Explore Activity 2 (SE and ese): 1 3, 9 Full Lesson (SE and ese): 1 12 Online Homework (PMT): 1 4, 5 11odd Problem C

39 Lesson Plan11.1 Comparing Data Displayed in Dot Plots Essential QuestionHow do you compare two sets of data displayed in dot plots? CC: 7.SP.4 Use measures of center and measures ofvariability for numerical data from randomsamples to draw informal comparativeinferences about two populations.7.sp.3 Informally assess the degree of visual overlapof two numerical data distributions with similarvariabilities, measuring the difference betweenthe centers by expressing it as a multiple of ameasure of variability.mp.7using structure. Animated Math (ese) Explore Activity (SE and ese): 1 5, 14, 18 Example 1(SE and ese): 1 3, 7 9, 11 13, 15 Example2 (SE and ese): 4 5, 10, Full Lesson (SE and ese): 1 20 Online Homework (PMT): 1 6, 7 19 odd Problem C

40 Lesson Plan11.2 Comparing Data Displayed in Box Plots Essential QuestionHow do you compare two sets of data displayed in box plots? CC: 7.SP.3 Informally assess the degree of visual overlapof two numerical data distributions with similarvariabilities, measuring the difference betweenthe centers by expressing it as a multiple of ameasure of variability.7.sp.4 Use measures of center and measures ofvariability for numerical data from randomsamples to draw informal comparativeinferences about two populations.mp.2reasoning. Explore Activity (SE and ese): 1 3 Example 1(SE and ese): 4 6, 8 11 Example2 (SE and ese): 4 6, Full Lesson (SE and ese): 1 18 Online Homework (PMT): 1 7, 9 17 odd Problem C

41 Lesson Plan11.3 Using Statistical Measures to Compare Populations Essential QuestionHow can you use statistical measures to compare populations? CC: 7.SP.3 Informally assess the degree of visual overlapof two numerical data distributions with similarvariabilities, measuring the difference betweenthe centers by expressing it as a multiple of ameasure of variability.7.sp.4 Use measures of center and measures ofvariability for numerical data from randomsamples to draw informal comparativeinferences about two populations.mp.6precision. Focus on Communication (TE) Example 1 (SE and ese8): 1, 2 Example 2 (SE and ese): 3 Full Lesson (SE and ese): 1 14 Online Homework (PMT): 1 3, 5 13 odd Problem C

42 Teacher's Name Class Date Lesson Plan12.1 Probability Essential QuestionHow can you describe the likelihood of an event? CC: 7.SP.5 Understand that the probability of a chanceevent is a number between 0 and 1 thatexpresses the likelihood of the event occurring.larger numbers indicate greater likelihood.a probability near 0 indicates an unlikely event,a probability around 1/2 indicates an event thatis neither unlikely nor likely, and a probabilitynear 1 indicates a likely event.7.sp.7a Develop a uniform probability model byassigning equal probability to all outcomes,and use the model to determine probabilitiesof events.mp.6precision. Explore Activity(SE and ese): 1, 16 Example 1 (SE and ese): 2 5, 15, 18 Example2 (SE and ese): 6 7, 13, 17, 19 Example 3 (SE and ese): 8 11, 14, 18 Full Lesson (SE and ese): 1 24 Online Homework (PMT): 1 12, odd Problem C

43 Lesson Plan12.2 Experimental Probability of Simple Events Essential QuestionHow do you find the experimental probability of a simple event? CC: 7.SP.6 Approximate the probability of a chance eventby collecting data on the chance process thatproduces it and observing its long-run relativefrequency, and predict the approximate relativefrequency given the probability.7.sp.7b Develop a probability model (which may notbe uniform) by observing frequencies in datagenerated from a chance process.mp.4modeling. Explore Activity(SE and ese): 1 Example 1 (SE and ese): 1, 4, 5, 7 Example2 (SE and ese): 2, 6, 8, 9 Full Lesson (SE and ese): 1 13 Online Homework (PMT): 1 3, 5 13 odd Problem C

44 Teacher's Name Class Date Lesson Plan12.3 Experimental Probability of Compound Events Essential QuestionHow do you find the experimental probability of a compound event? CC: 7.SP.8 Find probabilities of compound events usingorganized lists, tables, tree diagrams, andsimulation.7.sp.8a Understand that, just as with simple events, theprobability of a compound event is the fractionof outcomes in the sample space for which thecompound event occurs.7.sp.8b Represent sample spaces for compound eventsusing methods such as organized lists, tablesand tree diagrams. For an event described ineveryday language (e.g., rolling double sixes ),identify the outcomes in the sample spacewhich compose the event.7.sp.8c Design and use a simulation to generatefrequencies for compound events.mp.2reasoning. Explore Activity(SE and ese): 1 Example 1 (SE and ese): 1, 4 9 Example2 (SE and ese): 2 Full Lesson (SE and ese): 1 14 Online Homework (PMT): 1 3, 5 13 odd Problem C

45 Lesson Plan12.4 Making Predictions with Experimental Probability Essential QuestionHow do you make predictions using experimental probability? CC: 7.SP.6 Approximate the probability of a chance eventby collecting data on the chance process thatproduces it and observing its long-run relativefrequency, and predict the approximate relativefrequency given the probability.mp.4modeling. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Focus on Reasoning (TE) Example 1(SE and ese): 1, 2, 8, 10, 11 Example 2 (SE and ese): 3, 4, Example3 (SE and ese): 5, 6, 8 13 Full Lesson (SE and ese): 1 16 Online Homework (PMT): 1 7, 9 15 odd Problem C

46 Lesson Plan13.1 Theoretical Probability of Simple Events Essential QuestionHow do you find the theoretical probability of a simple event? CC: 7.SP.7a Develop a uniform probability model byassigning equal probability to all outcomes,and use the model to determine probabilitiesof events.7.sp.6 Approximate the probability of a chance eventby collecting data on the chance process thatproduces it and observing its long-run relativefrequency, and predict the approximate relativefrequency given the probability.7.sp.7 Develop a probability model and use it to findprobabilities of events. Compare probabilitiesfrom a model to observed frequencies; ifthe agreement is not good, explain possiblesources of the discrepancy.mp.7using structure. Explore Activity 1(SE and ese): 1, 2 Example 1 (SE and ese): 3 5, 7 14, 16 Explore Activity 2 (SE and ese): 6 Full Lesson (SE and ese): 1 20 Online Homework (PMT): 1 7, 9 19 odd Problem C

47 Teacher's Name Class Date Lesson Plan13.2 Theoretical Probability of Compound Events Essential QuestionHow do you find the theoretical probability of a compound event? CC: 7.SP.8 Find probabilities of compound events usingorganized lists, tables, tree diagrams, andsimulation.7.sp.8a Understand that, just as with simple events, theprobability of a compound event is the fractionof outcomes in the sample space for which thecompound event occurs.7.sp.8b Represent sample spaces for compound eventsusing methods such as organized lists, tablesand tree diagrams. For an event described ineveryday language (e.g., rolling double sixes ),identify the outcomes in the sample spacewhich compose the event.mp.2reasoning. Explore Activity(SE and ese): 1 3, 15 Example 1 (SE and ese): 4 8, 10 12, 14, 16 Example 2 (SE and ese): 4 8, 13, 19 Full Lesson (SE and ese): 1 20 Online Homework (PMT): 1 9, odd Problem C

48 Lesson Plan13.3 Making Predictions with Theoretical Probability Essential QuestionHow do you make predictions using theoretical probability? CC: 7.SP.6 Approximate the probability of a chance eventby collecting data on the chance process thatproduces it and observing its long-run relativefrequency, and predict the approximate relativefrequency given the probability.7.sp.7a Develop a uniform probability model byassigning equal probability to all outcomes,and use the model to determine probabilitiesof events.mp.4modeling. 45-minute Classes: 2 days 90-minute Classes: 1 day Other Focus on Modeling (TE) Example 1 (SE and ese): 1 2, 5, 8, 9 12 Example 2 (SE and ese): 3, 6, 7, 10 Full Lesson (SE and ese): 1 17 Online Homework (PMT): 1 4, 5 17 odd Problem C

49 Lesson Plan13.4 Using Technology to Conduct a Simulation Essential QuestionHow do you use technology simulations to estimate probabilities? CC: 7.SP.8c Design and use a simulation to generatefrequencies for compound events. 7.SP.8 Find probabilities of compound events usingorganized lists, tables, tree diagrams, andsimulation.mp.5using tools. Animated Math (ese) Example 1 (SE and ese): 1 3, 5, 6, 10 Example 2 (SE and ese): 1 3, 7, 8 Full Lesson (SE and ese): 1 12 Online Homework (PMT): 1 4, 5 11 odd Problem C