Curricular Framework Mathematics - Grade 7 Overview Standards for Mathematical Content Unit Focus Standards for Mathematica l Practice Unit 1: Integers September Unit 2: Rational Numbers October Unit 3: Expressions and Equations November Unit 4: Inequalities November/December 7.NS.1 7.NS.1a 7.NS.1b 7.NS.1.c 7.NS.1.d 7.NS.2a 7.NS.2b 7.NS.2c 7.NS.3 7.NS.1a 7.NS.1b 7.NS.1.c 7.NS.1.d 7.NS.2a 7.NS.2b 7.NS.2c 7.NS.3 7.EE.1 7.EE.2 7.EE.4a 7.EE.4b Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers Use properties of operations to generate equivalent expressions. Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Solve real-life and mathematical problems using numerical and algebraic expressions and equations MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically
Unit 5: Ratios and Proportions January 7.RP.2 7.RP.2a 7.RP.2b 7.RP.2c 7.RP.2d 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems. MP.6 Attend to precision. Unit 6: Percents February 7.EE3 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems Solve real-life and mathematical problems using numerical and algebraic expressions and equations. MP.7 Look for and make use of structure. Unit 7: Constructions and Scale Drawings March 7.G.1 7.G.2 7.G.5 Draw, construct, and describe geometrical figures and describe the relationships between them. MP.8 Look for and express regularity in repeated reasoning. Unit 8: Circles and Area 7.G.4 7.G.6 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. April Unit 9: Surface Area and Volume April/May 7.G.4 7.G.4 7.G.6 Draw, construct, and describe geometrical figures and describe the relationships between them.
Unit 10: Probability and Statistics May 7.SP.1 7.SP.2 7.SP.3 7.SP.4 7.SP.5 7.SP.6 7.SP.7a 7.SP.7b 7.SP.8a 7.SP.8b 7.SP.8c Use random sampling to draw inferences about a population. Draw informal comparative inferences about two populations. HWM 7th Grade Math Curriculum 2017 Unit :1 Integers Content Standards 7.NS.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. 7.NS.1a Describe situations in which opposite quantities combine to make 0. 7.NS.1b Understand p + q as the number located a distance q from p, in the positive or negative direction depending on whether q Suggested Standards for Mathematical Practice MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. Critical Knowledge & Skills Students are able to: Add integers. Add rational numbers. Students are able to: Add integers. Add rational numbers. Students are able to: Interpret problems with the format of p + q as the number located a distance q from p, in the positive or negative direction depending on whether q is positive or
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. 7.NS.1.c 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. 7.NS.1.d Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.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. 7.NS.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, New Jersey Student Learning Standards for Mathematics 50 then (p/q) = ( p)/q = p/( q). Interpret quotients of rational numbers by describing real world contexts MP.5 Use appropriate tools strategically MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in repeated reasoning. negative and identify when this case exists in problems 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. Students are able to: Subtract integers. Explain subtraction of rational numbers as adding the additive inverse, p - q = p + (- q) and identify when this case exists in a problem 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 Students are able to: Apply properties of operations as strategies to add and subtract rational numbers. Students are able to: Multiply Integers. Multiply rational numbers. Divide rational numbers. Interpret products and quotients of rational numbers by describing real-world contexts. Students are able to: Divide integers. Define a rational number as an integer divided by an integer and identify examples of this case Convert rational numbers to decimals.
7.NS.2c Apply properties of operations as strategies to multiply and divide rational numbers. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. Students are able to: Apply properties of operations as strategies to multiply rational numbers. Apply properties of operations as strategies to divide rational numbers. Students are able to: Solve real-world and mathematical problems involving the four operations with rational numbers. Unit 1: 7th Grade Math District/School Formative Assessment Plan Teacher check in Student questioning Homework Classwork Exit cards District/School Summative Assessment Plan Unit quizzes Unit test District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Accommodations and Modifications ELL, Special Education, Gifted and Talented
Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth 21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical examples where appropriate. Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers Scientific calculator activities Khan academy Geogebra Google classroom Financial, Economic and Business Literacy Content Standards Suggested Standards for Mathematical Practice Unit 2: Rational Numbers Critical Knowledge & Skills 7.NS.1a 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. MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable Student will be able to: Add integers. Add rational numbers.
7.NS.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. arguments & critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically MP.6 Attend to precision. Student will be able to: Interpret problems with the format of 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 and identify when this case exists in problems 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. MP.7 Look for and make use of structure. 7.NS.1.c 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. 7.NS.1.d Apply properties of operations as strategies to add and subtract rational numbers. MP.8 Look for and express regularity in repeated reasoning. Subtract integers. Explain subtraction of rational numbers as adding the additive inverse, p - q = p + (- q) and identify when this case exists in a problem 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 Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.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. 7.NS.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, New Jersey Student Learning Standards for Mathematics 50 then (p/q) = ( p)/q = p/( q). Interpret quotients of rational numbers by describing real world contexts 7.NS.2c Apply properties of operations as strategies to multiply and divide rational numbers. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. Multiply Integers. Multiply rational numbers. Divide rational numbers. Interpret products and quotients of rational numbers by describing real-world contexts. Divide integers. Define a rational number as an integer divided by an integer and identify examples of this case. Convert rational numbers to decimals. Apply properties of operations as strategies to multiply rational numbers. Apply properties of operations as strategies to divide rational numbers. Solve real-world and mathematical problems involving the four operations with rational numbers. Unit 2: 7th Grade Math District/School Formative Assessment Plan District/School Summative Assessment Plan
Teacher check in Student questioning Homework Classwork Exit cards Unit quizzes Unit test District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom Accommodations and Modifications ELL, Special Education, Gifted and Talented Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth 21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical examples where appropriate. Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and Scientific calculator activities Khan academy Geogebra Google classroom Financial, Economic and Business Literacy
analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers Content Standards Unit 3: Expressions & Equations Suggested Standards for Critical Knowledge & Skills Mathematical Practice 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients 7.EE.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. 7.EE.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. MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically MP.6 Attend to precision. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Factor linear expressions Use the strategy of rewriting an expression in different forms in a problem context to explain how the quantities in it are related. Write simple equations. Solve equations and word problems using addition and subtraction. Solve equations and word problems using multiplication and division. Solve two step equations. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. MP.7 Look for and make use of structure.
MP.8 Look for and express regularity in repeated reasoning. Unit 3: 7th Grade Math District/School Formative Assessment Plan Teacher check in Student questioning Homework Classwork Exit cards District/School Summative Assessment Plan Unit quizzes Unit test District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom Accommodations and Modifications ELL, Special Education, Gifted and Talented Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth 21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical Scientific calculator activities Khan academy
examples where appropriate. Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers Geogebra Google classroom Financial, Economic and Business Literacy Content Standards 7.EE.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. Suggested Standards for Mathematical Practice MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate Unit 4: Inequalities Critical Knowledge & Skills Write and graph inequalities. Use substitution to check whether a number is a solution of an inequality. Solve inequalities using addition and subtraction. Solve real-life problems. Solve multi-step inequalities.
tools strategically MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in repeated reasoning. Unit 4: 7th Grade Math District/School Formative Assessment Plan Teacher check in Student questioning Homework Classwork Exit cards District/School Summative Assessment Plan Unit quizzes Unit test District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom
Accommodations and Modifications ELL, Special Education, Gifted and Talented Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth 21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical examples where appropriate. Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers Scientific calculator activities Khan academy Geogebra Google classroom Financial, Economic and Business Literacy Content Standards Unit 5: Ratios and Proportions Suggested Standards for Critical Knowledge & Skills Mathematical Practice 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in MP.1 Make sense of problems and persevere Find ratios, rates, and unit rates. Compute unit rates associated with ratios of fractions, including ratios of lengths,
like or different units. 7.RP.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. 7.RP.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. 7.RP.2c Represent proportional relationships by equations. 7.RP.2d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in repeated reasoning. areas and other quantities measured in like or different units. Use equivalent ratios to determine whether two ratios form a proportion. Use the cross product property to determine whether two ratios form a proportion. Identify direct variation from equations. ` Use graphs to determine whether two ratios form a proportions. Solve proportions using multiplication or cross products. Find slopes of lines. Interpret the slopes of lines as rates. Identify direct variation from graphs. Write, solve and represent proportions by equations. Use a point on a graph to write and solve proportions. Interpret graphs of proportional relationships. Use direct variation models to solve problems. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. Use proportional relationships to solve multistep ratio and percent problems. Find ratio and rates involving ratios of fractions.
Write percents as decimals and decimals as percents. Use percent proportion to find parts, wholes and percents. Use percent equation to find parts, wholes and percents. Find percents of increase and decrease. Use percents of discounts to find prices of items. Use percents of markups to find selling prices of items. Use simple interest formula to find interest earned or paid, annual interest rates and amounts paid on loans. Unit 5: 7th Grade Math What This May Look Like District/School Formative Assessment Plan: Teacher check in Student questioning Homework Classwork Exit cards District/School Summative Assessment Plan Unit quizzes Unit test District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom Accommodations and Modifications ELL, Special Education, Gifted and Talented Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth
21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical examples where appropriate. Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers Scientific calculator activities Khan academy Geogebra Google classroom Financial, Economic and Business Literacy Content Standards 7.EE3 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. Suggested Standards for Mathematical Practice: MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. Unit 6: Percents Critical Knowledge & Skills Compare and order fractions, decimals and percents Solve real-life problems.
MP.5 Use appropriate tools strategically MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in repeated reasoning. 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Use proportional relationships to solve multistep ratio and percent problems. Use percent proportion to find parts, wholes and percents. Solve real-life problems. Unit 6: 7th Grade Math District/School Formative Assessment Plan Teacher check in Student questioning Homework Classwork Exit cards District/School Summative Assessment Plan Unit quizzes Unit test District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom
Accommodations and Modifications ELL, Special Education, Gifted and Talented Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth 21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical examples where appropriate. Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers Scientific calculator activities Khan academy Geogebra Google classroom Financial, Economic and Business Literacy Content Standards Unit 7: Constructing Scale Drawings Suggested Standards for Critical Knowledge & Skills Mathematical Practice 7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a MP.1 Make sense of problems and persevere Use scale drawings to find actual distances. Find scale factors.
scale drawing and reproducing a scale drawing at a different scale. 7.G.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. 7.G.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. in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in repeated reasoning. Use scale drawings to find actual perimeters and areas. Recreate scale drawings at a different scale. Construct triangles with given angle measures. Construct triangles with given side lengths. Understand that the sum of the angle measures of any quadrilateral is 360 degrees. Find the missing angle measures in quadrilaterals. Construct quadrilaterals. Identify adjacent and vertical angles. Find angle measures using adjacent and vertical angles. Classify pairs of angles as complementary, supplementary, or neither. Find angle measures using complementary and supplementary angles. Unit 7: 7th Grade Math District/School Formative Assessment Plan Teacher check in Student questioning Homework Classwork Exit cards District/School Summative Assessment Plan Unit quizzes Unit test
District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom Accommodations and Modifications ELL, Special Education, Gifted and Talented Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth 21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical examples where appropriate. Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers Scientific calculator activities Khan academy Geogebra Google classroom Financial, Economic and Business Literacy
Content Standards 7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle 7.G.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. Suggested Standards for Mathematical Practice MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in repeated reasoning. Unit 8 Circles & Area Critical Knowledge & Skills Describe a circle in terms of radius and diameter. Understand the concept of pi. Find circumference of circles and perimeters of semicircles. Find the perimeter of composite figures. Find area of composite figures by separating them into familiar figures. Solve real-life problems. Unit 8: 7th Grade Math
District/School Formative Assessment Plan Teacher check in Student questioning Homework Classwork Exit cards District/School Summative Assessment Plan Unit quizzes Unit test District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom Accommodations and Modifications ELL, Special Education, Gifted and Talented Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth 21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical examples where appropriate. Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Scientific calculator activities Khan academy Geogebra Google classroom Financial, Economic and Business Literacy
Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers Content Standards Unit 9: Surface Area & Volume Suggested Standards for Critical Knowledge & Skills Mathematical Practice 7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. 7.G.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. MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in Find the surface areas of cylinders. Use two-dimensional nets to represent three-dimensional solids. Find the surface areas of rectangular and triangular prisms. Solve real-life problems. Find the surface areas of regular pyramids. Find the volumes of prisms. Find the volumes of pyramids.
repeated reasoning. Unit 9: 7th Grade Math What This May Look Like District/School Formative Assessment Plan Teacher check in Student questioning Homework Classwork Exit cards District/School Summative Assessment Plan Unit quizzes Unit test District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom Accommodations and Modifications ELL, Special Education, Gifted and Talented Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth 21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical examples where appropriate. Scientific calculator activities Khan academy Geogebra
Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers Google classroom Financial, Economic and Business Literacy Content Standards Unit 10 Probability & Statistics Suggested Standards for Critical Knowledge & Skills Mathematical Practice 7.SP.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. 7.SP.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments & critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically Determine when samples are representative of populations. Use data from random samples to make predictions about populations. Determine when samples are representative of populations. Use data from random samples to make predictions about populations.
simulated samples) of the same size to gauge the variation in estimates or predictions. 7.SP.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. 7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. 7.SP.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses 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 that is neither unlikely nor likely, and a probability near 1 indicates a likely event. MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in repeated reasoning. Use measure of center and variation to compare populations. Use random samples to compare populations. Use measure of center and variation to compare populations. Use random samples to compare populations. Identify and count the outcomes of experiments. Use theoretical probabilities to find quantities Find probabilities of events. Find relative frequencies. Use experimental probabilities. 7.SP.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 Use theoretical probability to find quantities.
approximate relative frequency given the probability. 7.SP.7a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. 7.SP.7b Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. Explain the concept of probability and describe cases where it would be useful. Explain the relationship between probability and likelihood in the context of realworld problems. Compare experimental and theoretical probabilities. 7.SP.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. 7.SP.8b Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event. 7.SP.8c Design and use a simulation to generate frequencies for compound events. Find the probability of compound events. Identify independent and dependent events. Use formulas to find probabilities of independent and dependent events. Use tree diagrams, tables, or a formula to find the number of possible outcomes. Use random digits as a simulation tool to approximate the answer to the question.
Unit 10: 7th Grade Math District/School Formative Assessment Plan Teacher check in Student questioning Homework Classwork Exit cards District/School Summative Assessment Plan Unit quizzes Unit test District/School Primary and Supplementary Resources Big Ideas, Dynamic Classroom, Warm Up, Cumulative Review, Answer Presentation Tool, Big Idea s Laurie s Notes, Khan academy, Buzzmath, Google Classroom Accommodations and Modifications ELL, Special Education, Gifted and Talented Follow learning strategies and modifications as stated in IEP or 504 plan Differentiated instruction Small group instruction Teacher support Varying the length of time a student may take to complete a task in order to provide additional support for a struggling learning or to encourage an advanced learner to pursue a topic in greater depth 21st Century Skills Technology and Interdisciplinary skills Students compare different ways of approaching traditional mathematical problems and find innovative solutions, using practical examples where appropriate. Students listen to and evaluate others reasoning and offer improvements and corrections, with supporting arguments. They listen to others feedback and modify their own arguments as needed. They learn from mistakes, and make repeated attempts at solving problems Students work in pairs and small groups to address mathematical Scientific calculator activities Khan academy Geogebra Google classroom Financial, Economic and Business Literacy
challenges that involve varied roles and responsibilities, and require working effectively in a climate of ambiguity and changing priorities. Students articulate mathematical thoughts and ideas using oral and written communication skills. Using abstract and quantitative reasoning with attention to precision, they construct viable arguments and analyze others reasoning. Students identify and ask significant questions about mathematics and engage in analyzing each other s answers