ExploreLearning PD Blog
Classroom Introduction
Start Date – 8/18
End Date – 8/19
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Classroom Rules, Procedures, Forms, etc. |N/A |Students will understand the classroom rules and expectations for |2 days |N/A |
| | |behavior and academic excellence. | | |
Unit 1 – The Number System
Module 1 – Adding and Subtracting Integers (7 Days)
Start Date – 8/20
End Date – 8/28
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |
| | | |Frame | |
|Intro to Module 1 | |Module 1 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 1 PreTest (my.) | | |
|How can you use addition and | |Module 1 Are You Ready | | |
|subtraction of integers to solve | | | | |
|real-world problems? | | | | |
|1.1 - Adding Integers with the Same |Content |The Number System—7.NS.1.1 |.5 Days |Adding on the Number Line |
|Sign |MAFS.7.NS.1.1, |Apply and extend previous understandings of addition| | |
|ESSENTIAL QUESTION |MAFS.7.NS.1.1b, |and subtraction to add and subtract rational | |Adding and Subtracting Integers |
|How do you add integers with the same |MAFS.7.NS.1.1d |numbers; represent addition and subtraction on a | | |
|sign? |Practice |horizontal or vertical number line diagram. | |Adding and Subtracting Integers with Chips |
| |MP.5.1 Using Tools |The Number System—7.NS.1.1b | | |
| | |Understand p + q as the number located a distance | |Sums and Differences with Decimals |
| | ||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 System—7.NS.1.1d | | |
| | |Apply properties of operations as strategies to add | | |
| | |and subtract rational numbers. | | |
|1.2 - Adding Integers with Different |Content |The Number System—7.NS.1.1 |1.5 Days |Adding on the Number Line |
|Signs |MAFS.7.NS.1.1, |Apply and extend previous understandings of addition| | |
|ESSENTIAL QUESTION |MAFS.7.1.1b |and subtraction to add and subtract rational | |Adding and Subtracting Integers |
|How do you add integers with different|Practice |numbers; represent addition and subtraction on a | | |
|signs? |MP.5.1 Using Tools |horizontal or vertical number line diagram. | |Adding and Subtracting Integers with Chips |
| | |The Number System—7.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 | | |
|1.3 - Subtracting Integers |Content |The Number System—7.NS.1.1c |1 Day |Integers, Opposites, and Absolute Values |
|ESSENTIAL QUESTION |MAFS.7.NS.1.1, |Understand subtraction of rational numbers as adding| | |
|How do you subtract integers? |MAFS.7.NS.1.1b |the additive inverse, p - q = p + (–q). Show that | |Rational Numbers, Opposites, and Absolute Values |
| |Practice |the distance between two rational numbers on the | | |
| |MP.2.1 Reasoning |number line is the absolute value of their | |Adding and Subtracting Integers |
| | |difference, and apply this principle in real-world | | |
| | |contexts. | | |
| | |The Number System—7.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. | | |
|1.4 - Applying Addition and |Content |The Number System—7.NS.1.3 |1 Day |Adding on the Number Line |
|Subtraction of Integers |MAFS.7.NS.1.1, |Solve real-world and mathematical problems involving| | |
|ESSENTIAL QUESTION |MAFS.7.NS.1.1d, |the four operations with rational numbers. | |Adding and Subtracting Integers |
|How do you solve multistep problems |MAFS.7.NS.1.3, | | | |
|involving addition and subtraction of |MAFS.7.EE.2.3 | | |Integers, Opposites, and Absolute Values |
|integers? |Practice | | | |
| |MP.1.1 Problem Solving | | |Rational Numbers, Opposites, and Absolute Values |
| | | | | |
|Review and Assessment | | |2 Days | |
| | |Module 1 Quiz (Class based) | | |
| | |Module 1 PostTest (my.) – Assigned after | | |
| | |Module 1 Quiz (to show student growth through | | |
| | |comparison to pretest results) | | |
Unit 1 – The Number System
Module 2 – Multiplying and Dividing Integers (6 Days)
Start Date – 8/29
End Date – 9/8
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Intro to Module 2 | |Module 2 Video |1 day | |
|ESSENTIAL QUESTION | |Module 2 PreTest (my.) | | |
|How can you use multiplication | |Module 2 Are You Ready | | |
|and division of integers to | | | | |
|solve real-world problems? | | | | |
|2.1 - Multiplying Integers |Content |The Number System—7.NS.1.2 |1 Day | |
|ESSENTIAL QUESTION |MAFS.7.NS.1.2, |Apply and extend previous understandings of multiplication and division | | |
|How do you multiply integers? |MAFS.7.NS.1.2a |and of fractions to multiply and divide rational numbers. | | |
| |Practice |The Number System—7.NS.1.2a | | |
| |MP.2.1 Reasoning |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. | | |
|2.2 - Dividing Integers |Content |The Number System—7.NS.1.2 |1 Day | |
|ESSENTIAL QUESTION |MAFS.7.NS.1.2, |Apply and extend previous understandings of multiplication and division | | |
|How do you divide integers? |MAFS.7.NS.1.2b |and of fractions to multiply and divide rational numbers. | | |
| |Practice |The Number System—7.NS.1.2b | | |
| |MP.7.1 Using Structure |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 System—7.NS.1.3 | | |
| | |Solve real-world and mathematical problems involving the four operations| | |
| | |with rational numbers. | | |
|2.3 - Applying Integer Operations |Content |The Number System—7.NS.1.3 |1 Day |Estimating |
|ESSENTIAL QUESTION |MAFS.7.NS.1.3 |Solve real-world and mathematical problems involving the four operations| |Population Size |
|How can you use integer operations to solve |Practice |with rational numbers | | |
|real-world problems? |MP.4.1 Modeling | | | |
|Review and Assessment | |Module 2 Quiz |2 Days | |
| | |Module 2 PostTest (my.) – Assigned after Module 2 Quiz (to show | | |
| | |student growth through comparison to pretest results) | | |
Unit 1 - The Number System
Module 3 – Rational Numbers (9 Days)
Start Date – 9/9
End Date – 9/19
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Intro to Module 3 | |Module 3 Video | | |
|ESSENTIAL QUESTION | |Module 3 PreTest (my.) | | |
|How can you use rational | |Module 3 Are You Ready | | |
|numbers to solve | | | | |
|real-world problems? | | | | |
|3.1 - Rational Numbers and Decimals |Content |The Number System—7.NS.1.2d |1 Day |Percents, |
|ESSENTIAL QUESTION |MAFS.7.NS.1.2d |Convert a rational number to a decimal using long | |Fractions, and |
|How do you convert a rational number to a decimal?|MAFS.7.NS.1.2b |division; know that the decimal form of a rational number terminates in | |Decimals |
| |Practice |0s or eventually repeats. | | |
| |MP.3.1 - Logic |The Number System—7.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. | | |
|3.2 - Adding Rational Numbers |Content |The Number System—7.NS.1.1d |1 Day | |
|ESSENTIAL QUESTION |MAFS.7.NS.1.1d |Apply properties of operations as strategies to add and subtract | | |
|How can you add rational numbers? |MAFS.7.NS.1.1a |rational numbers. | | |
| |MAFS.7.NS.1.1b |The Number System—7.NS.1.1a | | |
| |MAFS.7.NS.1.3 |Describe situations in which opposite quantities combine to make 0. | | |
| |Practice |Also 7.NS.1.1b, 7.NS.1.3 | | |
| |MP.2.1 Reasoning | | | |
|3.3 - Subtracting Rational Numbers |Content |The Number System—7.NS.1.1c |1 Day | |
|ESSENTIAL QUESTION |MAFS.7.NS.1.1c |Understand subtraction of rational numbers as adding the additive | | |
|How do you subtract rational numbers? |MAFS.7.NS.1.1 |inverse, p - q = p + (-q). Show that the distance between two rational | | |
| |Practice |numbers on the number line is the absolute value of their difference, | | |
| |MP.2.1 Reasoning |and apply this principle in real-world contexts. | | |
| | |Also 7.NS.1.1 | | |
|3.4 – Multiplying Rational Numbers |Content |The Number System—7.NS.1.2 |1 Day | |
|ESSENTIAL QUESTION |MAFS.7.NS.1.2 |Apply and extend previous understandings of | | |
|How do you multiply rational numbers? |MAFS.7.NS.1.2a |multiplication and division and of fractions to multiply and divide | | |
| |MAFS.7.NS.1.2c |rational numbers. | | |
| |Practice |Also 7.NS.1.2a, 7.NS.1.2c | | |
| |MP.2.1 Reasoning | | | |
|3.5 – Dividing Rational Numbers |Content |The Number System—7.NS.1.2 |1 Day | |
|ESSENTIAL QUESTION |MAFS.7.NS.1.2 |Apply and extend previous understandings of | | |
|How do you divide rational numbers? |MAFS.7.NS.1.2b |multiplication and division and of fractions to multiply | | |
| |MAFS.7.NS.1.2c |and divide rational numbers. | | |
| |Practice |The Number System—7.NS.1.2b | | |
| |MP.4.1 Modeling |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 System—7.NS.1.2c | | |
| | |Apply properties of operations as strategies to multiply and divide | | |
| | |rations numbers. | | |
|3.6 – Applying Rational Number Operations |Content |Expressions and |1 Day |Percent of |
|ESSENTIAL QUESTION |MAFS.7.EE.2.3 |Equations—7.EE.2.3 | |Change |
|How do you use different forms of rational numbers|MAFS.7.NS.1.3 |Solve multi-step real-life and mathematical problems | | |
|and strategically choose tools to solve |Practice |posed with positive and negative rational numbers in any form (whole | |Percents and |
|problems? |MP.1.1 Problem Solving |numbers, fractions, and decimals), using tools strategically. Apply | |Proportions |
| | |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.1.3 | | |
|Review and Assessment | |Module 3 Quiz |2 Days | |
| | |Module 3 PostTest (my.) – Assigned after Module 2 Quiz (to show | | |
| | |student growth through comparison to pretest results) | | |
Unit 1 - The Number System
Unit Review and Assessment (4 Days)
Start Date – 9/22
End Date – 9/26
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Review | |Study Guide and Unit 1 Performance Tasks |2 Days | |
|Assessment | |Unit 1 Exam |1 Day | |
|Remediation | |Review Exam |1 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 Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Intro to Module 4 | |Module 4 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 4 PreTest (my.) | | |
|Module EQ: How can you use rates and | |Module 4 Are You Ready | | |
|proportionality to solve | | | | |
|real-world problems? | | | | |
|4.1 – Unit Rates |Content |Ratio and Proportional Relationships—7.RP.1.1 |1 Day | |
|ESSENTIAL QUESTION |MAFS.7.RP.1.1 |Compute unit rates associated with ratios of fractions, including ratios| | |
|How do you find and use unit rates? |Practice |of lengths, areas and other quantities measured in like or different | | |
| |MP.4.1 Modeling |units. | | |
|4.2 – Constant Rates of Change |Content |Ratio and Proportional Relationships —7.RP.1.2 |2 Days |Beam to Moon |
|ESSENTIAL QUESTION |MAFS.7.RP.1.2 |Recognize and represent proportional relationships | |(Ratios and |
|How can you identify and represent proportional |MAFS.7.RP.1.2a |between quantities. | |Proportions) |
|relationships? |MAFS.7.RP.1.2b |Ratio and Proportional Relationships—7.RP.1.2a | |Road Trip |
| |Practice |Decide whether two quantities are in a proportional | |(Problem |
| |MP.2.1 Reasoning |relationship, e.g., by testing for equivalent ratios in a | |Solving) |
| | |table or graphing on a coordinate plane and observing whether the graph | | |
| | |is a straight line through the origin. | | |
| | |Ratio and Proportional Relationships—7.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 | | |
|4.3 – Proportional Relationships and Graphs |Content |Ratio and Proportional Relationships—7.RP.1.2a |1 Day |Part-to-part and|
|ESSENTIAL QUESTION |MAFS.7.RP.1.2a |Decide whether two quantities are in a proportional | |Part-to-whole |
|How can you use graphs to represent and analyze |MAFS.7.RP.1.2b |relationship, e.g., by testing for equivalent ratios in a | |Ratios |
|proportional relationships? |MAFS.7.RP.1.2c |table or graphing on a coordinate plane and observing whether the graph | | |
| |MAFS.7.RP.1.2 |is a straight line through the origin. | | |
| |Practice |Ratio and Proportional Relationships—7.RP.1.2b | | |
| |MP.4.1 Modeling |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.1.2 | | |
|Review and Assessment | |Module 4 Quiz |2 Days | |
| | |Module 4 PostTest (my.) – Assigned after Module 4 Quiz (to show | | |
| | |student growth through comparison to pretest results) | | |
Unit 2 - Ratios and Proportional Relationships
Module 5 – Proportions and Percent (8 Days)
Start Date – 10/8
End Date – 10/17
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Intro to Module 5 | |Module 5 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 5 PreTest (my.) | | |
|How can you use proportions and percent to solve | |Module 5 Are You Ready | | |
|real-world problems? | | | | |
|5.1 – Percent Increase and Decrease |Content |Ratio and Proportional Relationships—7.RP.1.3 |2 Days | |
|ESSENTIAL QUESTION |MAFS.7.RP.1.3 |Use proportional relationships to solve multistep ratio and percent | | |
|How do you use percents to describe change? |Practice |problems. | | |
| |MP.2.1 Reasoning | | | |
|5.2 - Rewriting Percent Expressions |Content |Expressions and Equations—7.EE.1.2 |1 Day | |
|ESSENTIAL QUESTION |MAFS.7.EE.1.2 |Understand that rewriting an expression in different | |Percent of |
|How can you rewrite expressions to help you solve |MAFS.7.RP.1.3 |forms in a problem context can shed light on the problem and how the | |Change |
|markup and markdown problems? |MAFS.7.EE.2.3 |quantities in it are related. | | |
| |Practice |Ratio and Proportional Relationships—7.RP.1.3 | | |
| |MP.5.1 Using Tools |Use proportional relationships to solve multistep ratio and percent | | |
| | |problems. | | |
| | |Also 7.EE.2.3 | | |
|5.3 – Applications of Percent |Content |Ratio and Proportional Relationships—7.RP.1.3 |2 Days | |
|ESSENTIAL QUESTION |MAFS.7.RP.1.3 |Use proportional relationships to solve multistep ratio and percent | |Percent of |
|How do you use percents to solve problems? |MAFS.7.EE.2.3 |problems. | |Change |
| |Practice |Expressions and Equations—7.EE.2.3 | | |
| |MP.4.1 Modeling |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. | | |
|Review and Assessment | |Module 5 Quiz |2 Days | |
| | |Module 5 PostTest (my.) – Assigned after Module 5 Quiz (to show | | |
| | |student growth through comparison to pretest results) | | |
Unit 2 - Ratios and Proportional Relationships
Unit Review and Assessment (4 Days)
Start Date – 10/20
End Date – 10/23
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Review | |Study Guide and Unit 2 Performance Tasks |2 Days | |
|Assessment | |Unit 1 Exam |1 Day | |
|Remediation | |Review Exam |1 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 Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Intro to Module 6 | |Module 6 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 6 PreTest (my.) | | |
|How can you use algebraic expressions and | |Module 6 Are You Ready | | |
|equations to solve real-world | | | | |
|problems? | | | | |
|6.1 – Algebraic Expressions |Content |Expressions and Equations—7.EE.1.1 |3 Days |Order of |
|ESSENTIAL QUESTION How do you add, subtract, |MAFS.7.EE.1.1 |Apply properties of operations as strategies to add, | |Operations |
|factor, and multiply algebraic expressions? |MAFS.7.EE.1.2 |subtract, factor, and expand linear expressions with | | |
| |Practice |rational coefficients. | |Using Algebraic |
| |MP.4.1 Problem Solving |Also 7.EE.1.2 | |Equations |
| | | | | |
| | | | |Using Algebraic |
| | | | |Expressions |
|6.2 – One-Step Equations with Rational |Content |Expressions and Equations—7.EE.2.4 |2 Days |Modeling |
|Coefficients |MAFS.7.EE.2.4 |Use variables to represent quantities in a real-world or mathematical | |One-Step |
|ESSENTIAL QUESTION |Practice |problem, and construct simple equations and inequalities to solve | |Equations - |
|How do you use one-step equations with rational |MP.7.1 Using Structure |problems by reasoning about the quantities. | |Activity B |
|coefficients to solve problems? | | | | |
|6.3 – Writing Two-Step Equations |Content |Expressions and Equations—7.EE.2.4 |3 Days |Modeling and |
|ESSENTIAL QUESTION |MAFS.7.EE.2.4 |Use variables to represent quantities in a real-world or mathematical | |Solving Two-Step|
|How do you write a two-step equation? |Practice |problem, and construct simple equations...to solve problems by reasoning| |Equations |
| |MP.1.1 Problem Solving |about the quantities. | | |
|6.4 – Solving Two-Step Equations |Content |Expressions and Equations—7.EE.2.4a |2 Days |Solving Two-Step|
|ESSENTIAL QUESTION |MAFS.7.EE.2.4a |Solve word problems leading to equations of the form px + q = r and p(x | |Equations |
|How do you solve a two-step equation? |MAFS.7.EE.2.4 |+ q) = r, where p, q, and r are specific rational numbers. Solve | | |
| |Practice |equations of these forms fluently. Compare an algebraic solution to an | | |
| |MP.4.1 Modeling |arithmetic solution, identifying the sequence of the operations used in | | |
| | |each approach. | | |
| | |Expressions and Equations—7.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. | | |
|Review and Assessment | |Module 6 Quiz |2 Days | |
| | |Module 6 PostTest (my.) – Assigned after Module 6 Quiz (to show | | |
| | |student growth through comparison to pretest results) | | |
Unit 3 - Expressions, Equations, and Inequalities
Module 7 – Inequalities (8 Days)
Start Date – 11/17
End Date – 12/1
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |
| | | |Frame | |
|Intro to Module 7 | |Module 7 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 7 PreTest (my.) | | |
|How can you use inequalities to solve | |Module 7 Are You Ready | | |
|real-world problems? | | | | |
|7.1 – Writing and Solving One-Step Inequalities |Content |Expressions and Equations—7.EE.2.4b |2 Days |Compound Inequalities|
|ESSENTIAL QUESTION |MAFS.7.EE.2.4b |Solve word problems leading to inequalities of the form | | |
|How do you write and solve one-step |Practice |px + q > r or px + q < r, where p, q, and r are specific | |Solving Linear |
|inequalities? |MP.1.1 Problem Solving |rational numbers. Graph the solution set of the inequality and | |Inequalities in One |
| | |interpret it in the context of the problem. | |Variable |
| | | | | |
|7.2 - Writing Two-Step Inequalities |Content |Expressions and Equations—7.EE.2.4 |2 Days | |
|ESSENTIAL QUESTION |MAFS.7.EE.2.4 |Use variables to represent quantities in a real-world or | | |
|How do you write a two-step inequality? |Practice |mathematical problem, and construct simple equations | | |
| |MP.2.1 Reasoning |and inequalities to solve problems by reasoning about the quantities. | | |
|7.3 – Solving Two-Step Inequalities |Content |Expressions and Equations—7.EE.2.4b |1 Days | |
|ESSENTIAL QUESTION |MAFS.7.EE.2.4b |Solve word problems leading to inequalities of the form | | |
|How do you solve a two-step inequality? |Practice |px + q > r or px + q > r, where p, q, and r are specific | | |
| |MP.5.1 Using Tools |rational numbers. Graph the solution set of the inequality and | | |
| | |interpret it in the context of the problem. | | |
|Review and Assessment | |Module 7 Quiz |2 Days | |
| | |Module 7 PostTest (my.) – Assigned after Module 7 Quiz (to show| | |
| | |student growth through comparison to pretest results) | | |
Unit 3 – Expressions, Equations, and Inequalities
Unit Review and Assessment (4 Days)
Start Date – 12/2
End Date – 12/5
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Review | |Study Guide and Unit 2 Performance Tasks |2 Days | |
|Assessment | |Unit 3 Exam |1 Day | |
|Remediation | |Review Exam |1 Day | |
Unit 4 - Geometry
Module 8 – Modeling Geometric Figures (12 days)
Start Date – 12/8
End Date – 1/8
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Intro to Module 8 | |Module 8 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 8 PreTest (my.) | | |
|How can you use proportions to solve real-world | |Module 8 Are You Ready | | |
|geometry problems? | | | | |
|8.1 – Similar Shapes and Scale Drawings |Content |Geometry—7.G.1.1 |2 Days |Perimeters and |
|ESSENTIAL QUESTION |MAFS.7.G.1.1 |Solve problems involving scale drawings of geometric | |Areas of Similar |
|How can you use scale drawings to solve |Practice |figures, including computing actual lengths and areas | |Figures |
|problems? |MP.4.1 Modeling |from a scale drawing and reproducing a scale drawing at a different | | |
| | |scale. | | |
|8.2 – Geometric Drawings |Content |Geometry—7.G.1.2 |2 Days | |
|ESSENTIAL QUESTION |MAFS.7.G.1.2 |Draw (freehand, with ruler and protractor, and with technology) | | |
|How can you draw shapes that satisfy given |Practice |geometric shapes with given conditions. | | |
|conditions? |MP.5.1 Using Tools |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. | | |
|8.3 – Cross Sections |Content |Geometry—7.G.1.3 |3 Days | |
|ESSENTIAL QUESTION |MAFS.7.G.1.3 |Describe the two-dimensional figures that result from slicing | | |
|How can you identify cross sections of |Practice |three-dimensional figures, as in plane sections of right rectangular | | |
|three-dimensional figures? |MP.4.1 Modeling |prisms and right rectangular pyramids. | | |
|8.4 – Angle Relationships |Content |Geometry—7.G.2.5 |2 Days |Investigating Angle|
|ESSENTIAL QUESTION |MAFS.7.G.2.5 |Use facts about supplementary, complementary, vertical, | |Theorems - Activity|
|How can you use angle relationships to solve |Practice |and adjacent angles in a multi-step problem to write and solve simple | |B |
|problems? |MP.2.1 Reasoning |equations for an unknown angle in a figure. | | |
| | | | |Triangle Angle Sum |
| | | | |- Activity B |
| | | | | |
|Review and Assessment | |Module 8 Quiz |2 Days | |
| | |Module 8 PostTest (my.) – Assigned after Module 8 Quiz (to show | | |
| | |student growth through comparison to pretest results) | | |
Unit 4 - Geometry
Module 9 – Circumference, Area, and Volume (12)
Start Date – 1/9
End Date – 1/27
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |
| | | |Frame | |
|Intro to Module 9 | |Module 9 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 9 PreTest (my.) | | |
|How can you apply geometry concepts to solve | |Module 9 Are You Ready | | |
|real-world problems? | | | | |
|9.1 – Circumference |Content |Geometry—7.G.2.4 |1 Day |Circles: Circumference|
|ESSENTIAL QUESTION |MAFS.7.G.2.4 |Know the formulas for the area and circumference of a | |and Area |
|How do you find and use the circumference of a |Practice |circle and use them to solve problems; given an informal | | |
|circle? |MP.7.1 Using Structure |derivation of the relationship between the circumference and area of a| | |
| | |circle. | | |
|9.2 – Area of Circles |Content |Geometry—7.G.2.4 |2 Days |Circles: Circumference|
|ESSENTIAL QUESTION |MAFS.7.G.2.4 |Know the formulas for the area and circumference of a | |and Area |
|How do you find the area of a circle? |Practice |circle and use them to solve problems; given an informal derivation of| | |
| |MP.4.1 Modeling |the relationship between the circumference and area of a circle. | | |
|9.3 – Area of Composite Figures |Content |Geometry—7.G.2.6 |2 Days |Area of Parallelograms|
|ESSENTIAL QUESTION |MAFS.7.G.2.6 |Solve real-world and mathematical problems involving | | |
|How do you find the area of composite figures? |Practice |area, volume and surface area of two- and three dimensional objects | |Surface and Lateral |
| |MP.5.1 Using Tools |composed of triangles, quadrilaterals, polygons, cubes, and right | |Area of Prisms and |
| | |prisms. | |Cylinders |
| | | | | |
|9.4 – Solving Surface Area Problems |Content |Geometry—7.G.2.6 |2 Days |Surface and Lateral |
|ESSENTIAL QUESTION |MAFS.7.G.2.6 |Solve real-world and mathematical problems involving | |Area of Prisms and |
|How can you find the surface area of a figure |Practice |area, volume and surface area of two- and three-dimensional objects | |Cylinders |
|made up of cubes and prisms? |MP.4.1 Modeling |composed of triangles, quadrilaterals, polygons, cubes, and right | | |
| | |prisms. | | |
|9.5 – Solving Volume Problems |Content |Geometry—7.G.2.6 |2 Days |Prisms and Cylinders -|
|ESSENTIAL QUESTION |MAFS.7.G.2.6 |Solve real-world and mathematical problems | |Activity A |
|How can you find the volume of a figure made of|Practice |involving area, volume and surface area of two- and | | |
|cubes and prisms? |MP.7.1 Using Structure |three-dimensional objects composed of triangles, quadrilaterals, | | |
| | |polygons, cubes, and right prisms. | | |
|Review and Assessment | |Module 9 Quiz |2 Days | |
| | |Module 9 PostTest (my.) – Assigned after Module 9 Quiz (to show| | |
| | |student growth through comparison to pretest results) | | |
Unit 4 - Ratios and Proportional Relationships
Unit Review and Assessment (4 Days)
Start Date – 1/28
End Date – 2/2
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Review | |Study Guide and Unit 4 Performance Tasks |2 Days | |
| | | | | |
|Assessment | |Unit 4 Exam |1 Day | |
|Remediation | |Review Exam |1 Day | |
Unit 5 – Statistics
Module 10 – Random Samples and Populations (9 Days)
Start Date – 2/3
End Date – 2/13
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |
| | | |Frame | |
|Intro to Module 10 | |Module 10 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 10 PreTest (my.) | | |
|How can you use random samples and populations | |Module 10 Are You Ready | | |
|to solve real-world problems? | | | | |
|10.1 – Populations and Samples |Content |Statistics and Probability—7.SP.1.1 |1.5 Days |Polling: City |
|ESSENTIAL QUESTION |MAFS.7.SP.1.1 |Understand that statistics can be used to gain information | | |
|How can you use a sample to gain information |Practice |about a population by examining a sample of the | |Reaction Time 1 |
|about a population? |MP.6.1 Precision |population; generalizations about a population from a | |(Graphs and |
| | |sample are valid only if the | |Statistics) |
| | | | | |
|10.2 – Making Inferences from a Random Sample |Content |Statistics and Probability— 7.SP.1.2 |2.5 Days |Polling: Neighborhood|
|ESSENTIAL QUESTION |MAFS.7.SP.1.2 |Use data from a random sample to draw inferences about a population | | |
|How can you use a sample to gain information |MAFS.7.RP.1.2c |with an unknown characteristic of interest. | |Probability |
|about a population? |MAFS.7.SP.1.1 |Generate multiple samples (or simulated samples) of the | |Simulations |
| |Practice |same size to gauge the variation in estimates or predictions. | | |
| |MP.4.1 Modeling |Ratio and Proportional Relationships—7.RP.1.2c | |Estimating Population|
| | |Represent proportional relationships by equations. | |Size |
| | |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. | | |
|10.3 – Generating Random Samples |Content |Statistics and Probability— 7.SP.1.2 |2 Days |Polling: Neighborhood|
|ESSENTIAL QUESTION |MAFS.7.SP.1.2 |Use data from a random sample to draw inferences about | | |
|How can you generate and use random samples to |Practice |a population with an unknown characteristic of interest. | |Probability |
|represent a population? |MP.5.1 Using Tools |Generate multiple samples (or simulated samples) of the | |Simulations |
| | |same size to gauge the variation in estimates or predictions. | | |
| | | | |Estimating Population|
| | | | |Size |
| | | | | |
|Review and Assessment | |Module 10 Quiz |2 days | |
| | |Module 10 PostTest (my.) – Assigned after Module 10 Quiz (to | | |
| | |show student growth through comparison to pretest results) | | |
Unit 5 - Statistics
Module 11 – Analyzing and Comparing Data (7 Days)
Start Date – 2/17
End Date – 2/25
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |
| | | |Frame | |
|Intro to Module 11 | |Module 11 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 11 PreTest (my.) | | |
|How can you use solve real-world problems by | |Module 11 Are You Ready | | |
|analyzing and comparing | | | | |
|data? | | | | |
|11.1 – Comparing Data Displayed in Dot Plots |Content | Statistics and Probability— 7.SP.2.4 |1 Day |Movie Reviewer (Mean |
|ESSENTIAL QUESTION |MAFS.7.SP.2.4 |Use measures of center and measures of variability for | |and Median) |
|How do you compare two sets of data displayed in|MAFS.7.SP.2.3 |numerical data from random samples to draw informal comparative | | |
|dot plots? |Practice |inferences about two populations. | |Reaction Time 1 |
| |MP.7.1 Using Structure |Also 7.SP.2.3 | |(Graphs and |
| | | | |Statistics) |
| | | | | |
| | | | |Reaction Time 2 |
| | | | |(Graphs and |
| | | | |Statistics) |
| | | | | |
|11.2 – Comparing Data Displayed in Box Plots |Content |Statistics and Probability— 7.SP.2.3 |1 Day |Box-and-Whisker Plots|
|ESSENTIAL QUESTION |MAFS.7.SP.2.3 |Informally assess the degree of visual overlap of two | | |
|How do you compare two sets of data displayed in|MAFS.7.SP.2.4 |numerical data distributions with similar variabilities, | | |
|box plots? |Practice |measuring the difference between the centers by expressing it as a | | |
| |MP.2.1 Reasoning |multiple of a measure of variability. | | |
| | |Also 7.SP.2.4 | | |
|11.3 – Using Statistical Measures to Compare |Content |Statistics and Probability— 7.SP.2.3 |2 Days |Mean, Median and Mode|
|Populations |MAFS.7.SP.2.3 |Informally assess the degree of visual overlap of two numerical data | | |
|ESSENTIAL QUESTION |Practice |distributions with similar variabilities, measuring the difference | |Movie Reviewer (Mean |
|How can you use statistical measures to compare |MP.6.1 Precision |between the centers by expressing it as a multiple of a measure of | |and Median) |
|populations? | |variability. | | |
| | |Statistics and Probability— 7.SP.2.4 | |Populations and |
| | |Use measures of center and measures of variability for | |Samples |
| | |numerical data from random samples to draw informal | | |
| | |comparative inferences about two populations. | |Reaction Time 1 |
| | | | |(Graphs and |
| | | | |Statistics) |
| | | | | |
| | | | |Reaction Time 2 |
| | | | |(Graphs and |
| | | | |Statistics) |
| | | | | |
|Review and Assessment | |Module 11 Quiz |2 Days | |
| | |Module 11 PostTest (my.) – Assigned after Module 11 Quiz (to | | |
| | |show student growth through comparison to pretest results) | | |
Unit 5 - Statistics
Unit Review and Assessment (4 Days)
Start Date – 2/26
End Date – 3/3
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Review | |Study Guide and Unit 2 Performance Tasks |2 Days | |
|Assessment | |Unit 1 Exam |1 Day | |
|Remediation | |Review Exam |1 Day | |
Unit 6 - Probability
Module 12 – Experimental Probability (11 Days)
Start Date – 3/4
End Date – 3/18
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |
| | | |Frame | |
|Intro to Module 12 | |Module 12 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 12 PreTest (my.) | | |
|How can you use experimental probability to | |Module 12 Are You Ready | | |
|solve real-world problems? | | | | |
|12.1 – Probability |Content |Statistics and Probability— 7.SP.3.5 |1.5 Days |Spin the Big Wheel! |
|ESSENTIAL QUESTION |MAFS.7.SP.3.5 |Understand that the probability of a chance event is a | |(Probability) |
|How can you describe the likelihood of an event?|MAFS.7.SP.3.7a |number between 0 and 1 that expresses the likelihood of | | |
| |Practice |the event occurring. | | |
| |MP.6.1 Precision |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. | | |
|12.2 – Experimental Probability of Simple Events|Content |Statistics and Probability—7.SP.3.6 |1.5 Days |Spin the Big Wheel! |
|ESSENTIAL QUESTION |MAFS.7.SP.3.6 |Approximate the probability of a chance event by | |(Probability) |
|How do you find the experimental probability of |MAFS.7.SP.3.7b |collecting data on the chance process that produces it and | | |
|a simple event? |Practice |observing its long-run relative frequency, and predict the approximate| | |
| |MP.4.1 Modeling |frequency given the probability. | | |
| | |Statistics and Probability—7.SP.3.7b | | |
| | |Develop a probability model (which may not be uniform) | | |
| | |by observing frequencies in data generated from a chance process. | | |
|12.3 – Experimental Probability of Compound |Content |Statistics and Probability— 7.SP.3.8 |3 Days |Independent and |
|Events |MAFS.7.SP.3.8 |Find probabilities of compound events using lists, tables, | |Dependent Events |
|ESSENTIAL QUESTION |MAFS.7.SP.3.8a |tree diagrams, and simulations. | | |
|How do you find the experimental probability of |MAFS.7.SP.3.8b |Statistics and Probability— 7.SP.3.8a | |Histograms |
|a compound event? |MAFS.7.SP.3.8c |Understand that, just as with simple events, the | | |
| |Practice |probability of a compound event is the fraction of | |Permutations and |
| |MP.2.1 Reasoning |outcomes in the sample space for which the compound | |Combinations |
| | |event occurs. | | |
| | |Statistics and Probability— 7.SP.3.8b | |Reaction Time 1 |
| | |Represent sample spaces for compound events using | |(Graphs and |
| | |methods such as organized lists, tables, and tree | |Statistics) |
| | |diagrams. | | |
| | |Statistics and Probability— 7.SP.3.8c | |Reaction Time 2 |
| | |Design and use a simulation to generate frequencies for | |(Graphs and |
| | |compound events. | |Statistics) |
| | | | | |
|12.4 – Making Predictions with Experimental |Content |Statistics and Probability— 7.SP.3.6 |2 Days |Spin the Big Wheel! |
|Probability |MAFS.7.SP.3.6 |Approximate the probability of a chance event by collecting data on | |(Probability) |
|ESSENTIAL QUESTION |Practice |the chance process that produces it and observing its long-run | | |
|How do you make predictions using experimental |MP.4.1 Modeling |relative frequency, and predict the approximate frequency given the | | |
|probability? | |probability. | | |
|Review and Assessment | |Module 12 Quiz |2 Days | |
| | |Module 12 PostTest (my.) – Assigned after Module 12 Quiz (to | | |
| | |show student growth through comparison to pretest results) | | |
Unit 7 – Probability
Module 13 – Theoretical Probability and Simulations (8 Days)
Start Date – 3/30
End Date – 4/9
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |
| | | |Frame | |
|Intro to Module 13 | |Module 13 Video |1 Day | |
|ESSENTIAL QUESTION | |Module 13 PreTest (my.) | | |
|How can you use theoretical probability to solve| |Module 13 Are You Ready | | |
|real-world problems? | | | | |
|13.1 – Theoretical Probability of Simple Events |Content |Statistics and Probability— 7.SP.3.7a |1 Day |Spin the Big Wheel! |
|ESSENTIAL QUESTION |MAFS.7.SP.3.7a |Develop a uniform probability model by assigning equal | |(Probability) |
|How can you find the theoretical probability of |MAFS.7.SP.3.6 |probability to all outcomes, and use the model to | | |
|a simple event? |MAFS.7.SP.3.7 |determine probabilities of events. | | |
| |Practice |Statistics and Probability— 7.SP.3.6 | | |
| |MP.7.1 Using Structure |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.3.7 | | |
|13.2 – Theoretical Probability of Compound |Content |Statistics and Probability— 7.SP.3.8 |1 Day |Independent and |
|Events |MAFS.7.SP.3.8 |Find probabilities of compound events using organized | |Dependent Events |
|ESSENTIAL QUESTION |MAFS.7.SP.3.8a |lists, tables, tree diagrams, and simulation. | | |
|How do you find the probability of a compound |MAFS.7.SP.3.8b |Statistics and Probability— 7.SP.3.8a | |Histograms |
|event? |Practice |Understand that, just as with simple events, the | | |
| |MP.2.1 Reasoning |probability of a compound event is the fraction of | |Permutations and |
| | |outcomes in the sample space for which the compound event occurs. | |Combinations |
| | |Statistics and Probability— 7.SP.3.8b | | |
| | |Represent sample spaces for compound events using | |Reaction Time 1 |
| | |methods such as organized lists, tables, and tree diagrams. | |(Graphs and |
| | | | |Statistics) |
| | | | | |
| | | | |Reaction Time 2 |
| | | | |(Graphs and |
| | | | |Statistics) |
| | | | | |
|13.3 - Making Predictions with Theoretical |Content |Statistics and Probability— 7.SP.3.6 |1 Day |Spin the Big Wheel! |
|Probability |MAFS.7.SP.3.6 |Approximate the probability of a chance event by | |(Probability) |
|ESSENTIAL QUESTION |MAFS.7.SP.3.7a |collecting data on the chance process that produces it and | | |
|How do you make predictions using theoretical |Practice |observing its long-run relative frequency, and predict the | | |
|probability? |MP.4.1 Modeling |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. | | |
|13.4 – Using Technology to Conduct a Simulation |Content |Statistics and Probability— 7.SP.3.8c |2 Days |Independent and |
|ESSENTIAL QUESTION |MAFS.7.SP.3.8c |Design and use a simulation to generate frequencies for | |Dependent Events |
|How can you use technology simulations to |MAFS.7.SP.3.8 |compound events. | | |
|estimate probabilities? |Practice |Statistics and Probability— 7.SP.3.8 | | |
| |MP.5.1 Using Tools |Find probabilities of compound events using organized lists, tables, | | |
| | |tree diagrams, and simulation. | | |
|Review and Assessment | |Module 13 Quiz |2 Days | |
| | |Module 13 PostTest (my.) – Assigned after Module 13 Quiz (to | | |
| | |show student growth through comparison to pretest results) | | |
Unit 6 - Probability
Unit Review and Assessment (4 Days)
Start Date – 4/10
End Date – 4/15
|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |
| | | |Frame |Resources |
|Review | |Study Guide and Unit 2 Performance Tasks |2 Days | |
|Assessment | |Unit 1 Exam |1 Day | |
|Remediation | |Review Exam |1 Day | |
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