ࡱ> +-&'()*_ bjbj 325\5\  zzzzzd"9v &%%%%&+t -8888888$:t=N8z-&&--8zz%%8...-"z%z%8.-8..:3, 4%ke- 3 880"94 =-= 4 4=z7x--.-----88.---"9----=--------- > @:  Classroom Introduction Start Date 8/18 End Date 8/19 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesClassroom Rules, Procedures, Forms, etc.N/AStudents will understand the classroom rules and expectations for behavior and academic excellence.2 daysN/A Unit 1 The Number System Module 1 Adding and Subtracting Integers (7 Days) Start Date 8/20 End Date 8/28 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 1 ESSENTIAL QUESTION How can you use addition and subtraction of integers to solve real-world problems?Module 1 Video Module 1 PreTest (my.hrw.com) Module 1 Are You Ready1 Day1.1 - Adding Integers with the Same Sign ESSENTIAL QUESTION How do you add integers with the same sign?Content MAFS.7.NS.1.1, MAFS.7.NS.1.1b, MAFS.7.NS.1.1d Practice MP.5.1 Using ToolsThe Number System7.NS.1.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. The Number System7.NS.1.1b Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing Real-world contexts. The Number System7.NS.1.1d Apply properties of operations as strategies to add and subtract rational numbers..5 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=95" Adding on the Number Line  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=291" Adding and Subtracting Integers  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=599" Adding and Subtracting Integers with Chips  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=237" Sums and Differences with Decimals 1.2 - Adding Integers with Different Signs ESSENTIAL QUESTION How do you add integers with different signs?Content MAFS.7.NS.1.1, MAFS.7.1.1b Practice MP.5.1 Using ToolsThe Number System7.NS.1.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. The Number System7.NS.1.1b Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts1.5 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=95" Adding on the Number Line  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=291" Adding and Subtracting Integers  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=599" Adding and Subtracting Integers with Chips 1.3 - Subtracting Integers ESSENTIAL QUESTION How do you subtract integers?Content MAFS.7.NS.1.1, MAFS.7.NS.1.1b Practice MP.2.1 ReasoningThe Number System7.NS.1.1c Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. The Number System7.NS.1.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.1 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=122" Integers, Opposites, and Absolute Values  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=165" Rational Numbers, Opposites, and Absolute Values  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=291" Adding and Subtracting Integers 1.4 - Applying Addition and Subtraction of Integers ESSENTIAL QUESTION How do you solve multistep problems involving addition and subtraction of integers?Content MAFS.7.NS.1.1, MAFS.7.NS.1.1d, MAFS.7.NS.1.3, MAFS.7.EE.2.3 Practice MP.1.1 Problem SolvingThe Number System7.NS.1.3 Solve real-world and mathematical problems involving the four operations with rational numbers.1 Day  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=95" Adding on the Number Line  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=291" Adding and Subtracting Integers  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=122" Integers, Opposites, and Absolute Values  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=165" Rational Numbers, Opposites, and Absolute Values Review and Assessment  Module 1 Quiz (Class based) Module 1 PostTest (my.hrw.com) Assigned after Module 1 Quiz (to show student growth through comparison to pretest results)2 Days Unit 1 The Number System Module 2 Multiplying and Dividing Integers (6 Days) Start Date 8/29 End Date 9/8 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 2 ESSENTIAL QUESTION How can you use multiplication and division of integers to solve real-world problems?Module 2 Video Module 2 PreTest (my.hrw.com) Module 2 Are You Ready1 day2.1 - Multiplying Integers ESSENTIAL QUESTION How do you multiply integers?Content MAFS.7.NS.1.2, MAFS.7.NS.1.2a Practice MP.2.1 ReasoningThe Number System7.NS.1.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. The Number System7.NS.1.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1) (-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.1 Day2.2 - Dividing Integers ESSENTIAL QUESTION How do you divide integers?Content MAFS.7.NS.1.2, MAFS.7.NS.1.2b Practice MP.7.1 Using StructureThe Number System7.NS.1.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. The Number System7.NS.1.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts. Apply properties of operations as strategies to multiply and divide rational numbers. The Number System7.NS.1.3 Solve real-world and mathematical problems involving the four operations with rational numbers.1 Day2.3 - Applying Integer Operations ESSENTIAL QUESTION How can you use integer operations to solve real-world problems?Content MAFS.7.NS.1.3 Practice MP.4.1 ModelingThe Number System7.NS.1.3 Solve real-world and mathematical problems involving the four operations with rational numbers1 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=261" Estimating Population Size Review and AssessmentModule 2 Quiz Module 2 PostTest (my.hrw.com) Assigned after Module 2 Quiz (to show student growth through comparison to pretest results)2 Days Unit 1 - The Number System Module 3 Rational Numbers (9 Days) Start Date 9/9 End Date 9/19 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 3 ESSENTIAL QUESTION How can you use rational numbers to solve real-world problems?Module 3 Video Module 3 PreTest (my.hrw.com) Module 3 Are You Ready3.1 - Rational Numbers and Decimals ESSENTIAL QUESTION How do you convert a rational number to a decimal?Content MAFS.7.NS.1.2d MAFS.7.NS.1.2b Practice MP.3.1 - LogicThe Number System7.NS.1.2d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats. The Number System7.NS.1.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.1 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=231" Percents, Fractions, and Decimals 3.2 - Adding Rational Numbers ESSENTIAL QUESTION How can you add rational numbers?Content MAFS.7.NS.1.1d MAFS.7.NS.1.1a MAFS.7.NS.1.1b MAFS.7.NS.1.3 Practice MP.2.1 ReasoningThe Number System7.NS.1.1d Apply properties of operations as strategies to add and subtract rational numbers. The Number System7.NS.1.1a Describe situations in which opposite quantities combine to make 0. Also 7.NS.1.1b, 7.NS.1.31 Day3.3 - Subtracting Rational Numbers ESSENTIAL QUESTION How do you subtract rational numbers?Content MAFS.7.NS.1.1c MAFS.7.NS.1.1 Practice MP.2.1 ReasoningThe Number System7.NS.1.1c Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. Also 7.NS.1.11 Day3.4 Multiplying Rational Numbers ESSENTIAL QUESTION How do you multiply rational numbers?Content MAFS.7.NS.1.2 MAFS.7.NS.1.2a MAFS.7.NS.1.2c Practice MP.2.1 ReasoningThe Number System7.NS.1.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Also 7.NS.1.2a, 7.NS.1.2c1 Day3.5 Dividing Rational Numbers ESSENTIAL QUESTION How do you divide rational numbers?Content MAFS.7.NS.1.2 MAFS.7.NS.1.2b MAFS.7.NS.1.2c Practice MP.4.1 ModelingThe Number System7.NS.1.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. The Number System7.NS.1.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rations numbers by describing real-world contexts. The Number System7.NS.1.2c Apply properties of operations as strategies to multiply and divide rations numbers.1 Day3.6 Applying Rational Number Operations ESSENTIAL QUESTION How do you use different forms of rational numbers and strategically choose tools to solve problems?Content MAFS.7.EE.2.3 MAFS.7.NS.1.3 Practice MP.1.1 Problem SolvingExpressions and Equations7.EE.2.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Also 7.NS.1.31 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=265" Percent of Change  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=266" Percents and ProportionsReview and AssessmentModule 3 Quiz Module 3 PostTest (my.hrw.com) Assigned after Module 2 Quiz (to show student growth through comparison to pretest results)2 Days Unit 1 - The Number System Unit Review and Assessment (4 Days) Start Date 9/22 End Date 9/26 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesReview Study Guide and Unit 1 Performance Tasks2 DaysAssessmentUnit 1 Exam1 DayRemediationReview Exam1 Day Unit 2 Ratios and Proportional Relationships Module 4 Rates and Proportionality (7 Days) Start Date 9/29 End Date 10/7 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 4 ESSENTIAL QUESTION Module EQ: How can you use rates and proportionality to solve real-world problems?Module 4 Video Module 4 PreTest (my.hrw.com) Module 4 Are You Ready1 Day4.1 Unit Rates ESSENTIAL QUESTION How do you find and use unit rates?Content MAFS.7.RP.1.1 Practice MP.4.1 ModelingRatio and Proportional Relationships7.RP.1.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.1 Day4.2 Constant Rates of Change ESSENTIAL QUESTION How can you identify and represent proportional relationships?Content MAFS.7.RP.1.2 MAFS.7.RP.1.2a MAFS.7.RP.1.2b Practice MP.2.1 ReasoningRatio and Proportional Relationships 7.RP.1.2 Recognize and represent proportional relationships between quantities. Ratio and Proportional Relationships7.RP.1.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. Ratio and Proportional Relationships7.RP.1.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Also 7.RP.1.2c2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=98" Beam to Moon (Ratios and Proportions)  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1036" Road Trip (Problem Solving) 4.3 Proportional Relationships and Graphs ESSENTIAL QUESTION How can you use graphs to represent and analyze proportional relationships?Content MAFS.7.RP.1.2a MAFS.7.RP.1.2b MAFS.7.RP.1.2c MAFS.7.RP.1.2 Practice MP.4.1 ModelingRatio and Proportional Relationships7.RP.1.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. Ratio and Proportional Relationships7.RP.1.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Also 7.RP.1.2c, 7.RP.1.21 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=264" Part-to-part and Part-to-whole Ratios Review and Assessment Module 4 Quiz Module 4 PostTest (my.hrw.com) Assigned after Module 4 Quiz (to show student growth through comparison to pretest results)2 Days Unit 2 - Ratios and Proportional Relationships Module 5 Proportions and Percent (8 Days) Start Date 10/8 End Date 10/17 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 5 ESSENTIAL QUESTION How can you use proportions and percent to solve real-world problems?Module 5 Video Module 5 PreTest (my.hrw.com) Module 5 Are You Ready1 Day5.1 Percent Increase and Decrease ESSENTIAL QUESTION How do you use percents to describe change?Content MAFS.7.RP.1.3 Practice MP.2.1 ReasoningRatio and Proportional Relationships7.RP.1.3 Use proportional relationships to solve multistep ratio and percent problems.2 Days5.2 - Rewriting Percent Expressions ESSENTIAL QUESTION How can you rewrite expressions to help you solve markup and markdown problems?Content MAFS.7.EE.1.2 MAFS.7.RP.1.3 MAFS.7.EE.2.3 Practice MP.5.1 Using ToolsExpressions and Equations7.EE.1.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. Ratio and Proportional Relationships7.RP.1.3 Use proportional relationships to solve multistep ratio and percent problems. Also 7.EE.2.31 Day  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=265" Percent of Change 5.3 Applications of Percent ESSENTIAL QUESTION How do you use percents to solve problems?Content MAFS.7.RP.1.3 MAFS.7.EE.2.3 Practice MP.4.1 ModelingRatio and Proportional Relationships7.RP.1.3 Use proportional relationships to solve multistep ratio and percent problems. Expressions and Equations7.EE.2.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. 2 Days  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=265" Percent of Change Review and Assessment Module 5 Quiz Module 5 PostTest (my.hrw.com) Assigned after Module 5 Quiz (to show student growth through comparison to pretest results)2 Days Unit 2 - Ratios and Proportional Relationships Unit Review and Assessment (4 Days) Start Date 10/20 End Date 10/23 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesReview Study Guide and Unit 2 Performance Tasks2 DaysAssessmentUnit 1 Exam1 DayRemediationReview Exam1 Day Unit 3 Expressions, Equations, and Inequalities Module 6 Expressions and Equations (13 Days) Start Date 10/27 End Date 11/14 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 6 ESSENTIAL QUESTION How can you use algebraic expressions and equations to solve real-world problems?Module 6 Video Module 6 PreTest (my.hrw.com) Module 6 Are You Ready1 Day6.1 Algebraic Expressions ESSENTIAL QUESTION How do you add, subtract, factor, and multiply algebraic expressions?Content MAFS.7.EE.1.1 MAFS.7.EE.1.2 Practice MP.4.1 Problem SolvingExpressions and Equations7.EE.1.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Also 7.EE.1.23 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=255" Order of Operations  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=123" Using Algebraic Equations  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=257" Using Algebraic Expressions6.2 One-Step Equations with Rational Coefficients ESSENTIAL QUESTION How do you use one-step equations with rational coefficients to solve problems?Content MAFS.7.EE.2.4 Practice MP.7.1 Using StructureExpressions and Equations7.EE.2.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=109" Modeling One-Step Equations - Activity B 6.3 Writing Two-Step Equations ESSENTIAL QUESTION How do you write a two-step equation?Content MAFS.7.EE.2.4 Practice MP.1.1 Problem SolvingExpressions and Equations7.EE.2.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations...to solve problems by reasoning about the quantities.3 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=226" Modeling and Solving Two-Step Equations 6.4 Solving Two-Step Equations ESSENTIAL QUESTION How do you solve a two-step equation?Content MAFS.7.EE.2.4a MAFS.7.EE.2.4 Practice MP.4.1 ModelingExpressions and Equations7.EE.2.4a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. Expressions and Equations7.EE.2.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=274" Solving Two-Step Equations Review and Assessment Module 6 Quiz Module 6 PostTest (my.hrw.com) Assigned after Module 6 Quiz (to show student growth through comparison to pretest results)2 Days Unit 3 - Expressions, Equations, and Inequalities Module 7 Inequalities (8 Days) Start Date 11/17 End Date 12/1 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 7 ESSENTIAL QUESTION How can you use inequalities to solve real-world problems?Module 7 Video Module 7 PreTest (my.hrw.com) Module 7 Are You Ready1 Day7.1 Writing and Solving One-Step Inequalities ESSENTIAL QUESTION How do you write and solve one-step inequalities?Content MAFS.7.EE.2.4b Practice MP.1.1 Problem SolvingExpressions and Equations7.EE.2.4b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=99" Compound Inequalities  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=118" Solving Linear Inequalities in One Variable 7.2 - Writing Two-Step Inequalities ESSENTIAL QUESTION How do you write a two-step inequality?Content MAFS.7.EE.2.4 Practice MP.2.1 Reasoning Expressions and Equations7.EE.2.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.2 Days7.3 Solving Two-Step Inequalities ESSENTIAL QUESTION How do you solve a two-step inequality?Content MAFS.7.EE.2.4b Practice MP.5.1 Using ToolsExpressions and Equations7.EE.2.4b Solve word problems leading to inequalities of the form px + q > r or px + q > r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.1 DaysReview and Assessment Module 7 Quiz Module 7 PostTest (my.hrw.com) Assigned after Module 7 Quiz (to show student growth through comparison to pretest results)2 Days Unit 3 Expressions, Equations, and Inequalities Unit Review and Assessment (4 Days) Start Date 12/2 End Date 12/5 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesReview Study Guide and Unit 2 Performance Tasks2 DaysAssessmentUnit 3 Exam1 DayRemediationReview Exam1 Day Unit 4 - Geometry Module 8 Modeling Geometric Figures (12 days) Start Date 12/8 End Date 1/8 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 8 ESSENTIAL QUESTION How can you use proportions to solve real-world geometry problems?Module 8 Video Module 8 PreTest (my.hrw.com) Module 8 Are You Ready1 Day8.1 Similar Shapes and Scale Drawings ESSENTIAL QUESTION How can you use scale drawings to solve problems?Content MAFS.7.G.1.1 Practice MP.4.1 ModelingGeometry7.G.1.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=189" Perimeters and Areas of Similar Figures 8.2 Geometric Drawings ESSENTIAL QUESTION How can you draw shapes that satisfy given conditions?Content MAFS.7.G.1.2 Practice MP.5.1 Using ToolsGeometry7.G.1.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.2 Days8.3 Cross Sections ESSENTIAL QUESTION How can you identify cross sections of three-dimensional figures?Content MAFS.7.G.1.3 Practice MP.4.1 Modeling Geometry7.G.1.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.3 Days8.4 Angle Relationships ESSENTIAL QUESTION How can you use angle relationships to solve problems?Content MAFS.7.G.2.5 Practice MP.2.1 ReasoningGeometry7.G.2.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. 2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=185" Investigating Angle Theorems - Activity B  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=202" Triangle Angle Sum - Activity B Review and Assessment Module 8 Quiz Module 8 PostTest (my.hrw.com) Assigned after Module 8 Quiz (to show student growth through comparison to pretest results)2 Days Unit 4 - Geometry Module 9 Circumference, Area, and Volume (12) Start Date 1/9 End Date 1/27 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 9 ESSENTIAL QUESTION How can you apply geometry concepts to solve real-world problems?Module 9 Video Module 9 PreTest (my.hrw.com) Module 9 Are You Ready1 Day9.1 Circumference ESSENTIAL QUESTION How do you find and use the circumference of a circle?Content MAFS.7.G.2.4 Practice MP.7.1 Using StructureGeometry7.G.2.4 Know the formulas for the area and circumference of a circle and use them to solve problems; given an informal derivation of the relationship between the circumference and area of a circle.1 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=206" Circles: Circumference and Area 9.2 Area of Circles ESSENTIAL QUESTION How do you find the area of a circle?Content MAFS.7.G.2.4 Practice MP.4.1 ModelingGeometry7.G.2.4 Know the formulas for the area and circumference of a circle and use them to solve problems; given an informal derivation of the relationship between the circumference and area of a circle.2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=206" Circles: Circumference and Area 9.3 Area of Composite Figures ESSENTIAL QUESTION How do you find the area of composite figures?Content MAFS.7.G.2.6 Practice MP.5.1 Using Tools Geometry7.G.2.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. 2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=245" Area of Parallelograms  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=349" Surface and Lateral Area of Prisms and Cylinders 9.4 Solving Surface Area Problems ESSENTIAL QUESTION How can you find the surface area of a figure made up of cubes and prisms?Content MAFS.7.G.2.6 Practice MP.4.1 ModelingGeometry7.G.2.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.2 Days  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=349" Surface and Lateral Area of Prisms and Cylinders 9.5 Solving Volume Problems ESSENTIAL QUESTION How can you find the volume of a figure made of cubes and prisms?Content MAFS.7.G.2.6 Practice MP.7.1 Using StructureGeometry7.G.2.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=303" Prisms and Cylinders - Activity A Review and Assessment Module 9 Quiz Module 9 PostTest (my.hrw.com) Assigned after Module 9 Quiz (to show student growth through comparison to pretest results)2 Days Unit 4 - Ratios and Proportional Relationships Unit Review and Assessment (4 Days) Start Date 1/28 End Date 2/2 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesReview Study Guide and Unit 4 Performance Tasks2 DaysAssessmentUnit 4 Exam1 DayRemediationReview Exam1 Day Unit 5 Statistics Module 10 Random Samples and Populations (9 Days) Start Date 2/3 End Date 2/13 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 10 ESSENTIAL QUESTION How can you use random samples and populations to solve real-world problems? Module 10 Video Module 10 PreTest (my.hrw.com) Module 10 Are You Ready1 Day10.1 Populations and Samples ESSENTIAL QUESTION How can you use a sample to gain information about a population?Content MAFS.7.SP.1.1 Practice MP.6.1 Precision Statistics and Probability7.SP.1.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the1.5 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=505" Polling: City  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1028" Reaction Time 1 (Graphs and Statistics) 10.2 Making Inferences from a Random Sample ESSENTIAL QUESTION How can you use a sample to gain information about a population?Content MAFS.7.SP.1.2 MAFS.7.RP.1.2c MAFS.7.SP.1.1 Practice MP.4.1 ModelingStatistics and Probability 7.SP.1.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. Ratio and Proportional Relationships7.RP.1.2c Represent proportional relationships by equations. Statistics and Probability 7.SP.1.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.2.5 Days  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=507" Polling: Neighborhood  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=233" Probability Simulations  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=261" Estimating Population Size 10.3 Generating Random Samples ESSENTIAL QUESTION How can you generate and use random samples to represent a population?Content MAFS.7.SP.1.2 Practice MP.5.1 Using ToolsStatistics and Probability 7.SP.1.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=507" Polling: Neighborhood  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=233" Probability Simulations  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=261" Estimating Population Size Review and Assessment Module 10 Quiz Module 10 PostTest (my.hrw.com) Assigned after Module 10 Quiz (to show student growth through comparison to pretest results)2 days Unit 5 - Statistics Module 11 Analyzing and Comparing Data (7 Days) Start Date 2/17 End Date 2/25 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 11 ESSENTIAL QUESTION How can you use solve real-world problems by analyzing and comparing data?Module 11 Video Module 11 PreTest (my.hrw.com) Module 11 Are You Ready1 Day11.1 Comparing Data Displayed in Dot Plots ESSENTIAL QUESTION How do you compare two sets of data displayed in dot plots?Content MAFS.7.SP.2.4 MAFS.7.SP.2.3 Practice MP.7.1 Using Structure Statistics and Probability 7.SP.2.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. Also 7.SP.2.31 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1018" Movie Reviewer (Mean and Median)  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1028" Reaction Time 1 (Graphs and Statistics)  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1009" Reaction Time 2 (Graphs and Statistics) 11.2 Comparing Data Displayed in Box Plots ESSENTIAL QUESTION How do you compare two sets of data displayed in box plots?Content MAFS.7.SP.2.3 MAFS.7.SP.2.4 Practice MP.2.1 ReasoningStatistics and Probability 7.SP.2.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. Also 7.SP.2.41 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=169" Box-and-Whisker Plots 11.3 Using Statistical Measures to Compare Populations ESSENTIAL QUESTION How can you use statistical measures to compare populations?Content MAFS.7.SP.2.3 Practice MP.6.1 PrecisionStatistics and Probability 7.SP.2.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. Statistics and Probability 7.SP.2.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=262" Mean, Median and Mode  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1018" Movie Reviewer (Mean and Median)  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=508" Populations and Samples  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1028" Reaction Time 1 (Graphs and Statistics)  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1009" Reaction Time 2 (Graphs and Statistics) Review and Assessment Module 11 Quiz Module 11 PostTest (my.hrw.com) Assigned after Module 11 Quiz (to show student growth through comparison to pretest results)2 Days Unit 5 - Statistics Unit Review and Assessment (4 Days) Start Date 2/26 End Date 3/3 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesReview Study Guide and Unit 2 Performance Tasks2 DaysAssessmentUnit 1 Exam1 DayRemediationReview Exam1 Day Unit 6 - Probability Module 12 Experimental Probability (11 Days) Start Date 3/4 End Date 3/18 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 12 ESSENTIAL QUESTION How can you use experimental probability to solve real-world problems?Module 12 Video Module 12 PreTest (my.hrw.com) Module 12 Are You Ready1 Day12.1 Probability ESSENTIAL QUESTION How can you describe the likelihood of an event? Content MAFS.7.SP.3.5 MAFS.7.SP.3.7a Practice MP.6.1 PrecisionStatistics and Probability 7.SP.3.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Statistics and Probability 7.SP.3.7a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.1.5 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1015" Spin the Big Wheel! (Probability) 12.2 Experimental Probability of Simple Events ESSENTIAL QUESTION How do you find the experimental probability of a simple event?Content MAFS.7.SP.3.6 MAFS.7.SP.3.7b Practice MP.4.1 ModelingStatistics and Probability7.SP.3.6 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate frequency given the probability. Statistics and Probability7.SP.3.7b Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.1.5 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1015" Spin the Big Wheel! (Probability) 12.3 Experimental Probability of Compound Events ESSENTIAL QUESTION How do you find the experimental probability of a compound event?Content MAFS.7.SP.3.8 MAFS.7.SP.3.8a MAFS.7.SP.3.8b MAFS.7.SP.3.8c Practice MP.2.1 Reasoning Statistics and Probability 7.SP.3.8 Find probabilities of compound events using lists, tables, tree diagrams, and simulations. Statistics and Probability 7.SP.3.8a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Statistics and Probability 7.SP.3.8b Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams. Statistics and Probability 7.SP.3.8c Design and use a simulation to generate frequencies for compound events.3 DaysHYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=249"Independent and Dependent Events  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=222" Histograms  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=307" Permutations and Combinations  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1028" Reaction Time 1 (Graphs and Statistics)  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1009" Reaction Time 2 (Graphs and Statistics) 12.4 Making Predictions with Experimental Probability ESSENTIAL QUESTION How do you make predictions using experimental probability?Content MAFS.7.SP.3.6 Practice MP.4.1 ModelingStatistics and Probability 7.SP.3.6 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate frequency given the probability.2 Days HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1015" Spin the Big Wheel! (Probability) Review and Assessment Module 12 Quiz Module 12 PostTest (my.hrw.com) Assigned after Module 12 Quiz (to show student growth through comparison to pretest results)2 Days Unit 7 Probability Module 13 Theoretical Probability and Simulations (8 Days) Start Date 3/30 End Date 4/9 Section Number and TopicStandardsLearning TargetInstructional Time FrameAdditional ResourcesIntro to Module 13 ESSENTIAL QUESTION How can you use theoretical probability to solve real-world problems?Module 13 Video Module 13 PreTest (my.hrw.com) Module 13 Are You Ready1 Day13.1 Theoretical Probability of Simple Events ESSENTIAL QUESTION How can you find the theoretical probability of a simple event? Content MAFS.7.SP.3.7a MAFS.7.SP.3.6 MAFS.7.SP.3.7 Practice MP.7.1 Using StructureStatistics and Probability 7.SP.3.7a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. Statistics and Probability 7.SP.3.6 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. Also 7.SP.3.71 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1015" Spin the Big Wheel! (Probability) 13.2 Theoretical Probability of Compound Events ESSENTIAL QUESTION How do you find the probability of a compound event?Content MAFS.7.SP.3.8 MAFS.7.SP.3.8a MAFS.7.SP.3.8b Practice MP.2.1 ReasoningStatistics and Probability 7.SP.3.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. Statistics and Probability 7.SP.3.8a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Statistics and Probability 7.SP.3.8b Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams.1 DayHYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=249"Independent and Dependent Events  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=222" Histograms  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=307" Permutations and Combinations  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1028" Reaction Time 1 (Graphs and Statistics)  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1009" Reaction Time 2 (Graphs and Statistics) 13.3 - Making Predictions with Theoretical Probability ESSENTIAL QUESTION How do you make predictions using theoretical probability?Content MAFS.7.SP.3.6 MAFS.7.SP.3.7a Practice MP.4.1 ModelingStatistics and Probability 7.SP.3.6 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. Statistics and Probability 7.SP.3.7a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.1 Day HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=1015" Spin the Big Wheel! (Probability) 13.4 Using Technology to Conduct a Simulation ESSENTIAL QUESTION How can you use technology simulations to estimate probabilities?Content MAFS.7.SP.3.8c MAFS.7.SP.3.8 Practice MP.5.1 Using ToolsStatistics and Probability 7.SP.3.8c Design and use a simulation to generate frequencies for compound events. 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