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Common Core: Math
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 Grade 8 Module 4: Linear Equations In Module 4, students extend what they already know about unit rates and proportional relationships to linear equations and their graphs. Students understand the...

 Grade 8 Mathematics Module 1: Integer Exponents and Scientific Notation In Grade 8 Module 1, students expand their basic knowledge of positive integer exponents and prove the Laws of Exponents for...

 Grade 8 Module 7: Introduction to Irrational Numbers Using Geometry Module 7 begins with work related to the Pythagorean Theorem and right triangles. Before the lessons of this module are presented...

 Grade 7 Module 4: Percent and Proportional Relationships In Module 4, students deepen their understanding of ratios and proportional relationships from Module 1 by solving a variety of percent...

 Grade 7 Module 3: Expressions and Equations This module consolidates and expands upon students’ understanding of equivalent expressions as they apply the properties of operations to write expressions...

 Grade 7 Module 2: Rational Numbers In Grade 6, students formed a conceptual understanding of integers through the use of the number line, absolute value, and opposites and extended their...

 Grade 7 Mathematics Module 1: Ratios and Proportional Relationship In this 30day Grade 7 module, students build upon sixth grade reasoning of ratios and rates to formally define proportional...

 Grade 6 Module 4: Expressions and Equations In Module 4, Expressions and Equations, students extend their arithmetic work to include using letters to represent numbers in order to understand that...

 Updated Modules and Curricular Resources The tables below reflect Mathematics and English Language Arts curricular materials and resources that have been updated. As additional materials are updated...

 In Topic B, students learn that to get the decimal expansion of a number (8.NS.A.1), they must develop a deeper understanding of the long division algorithm learned in Grades 6 and 7 (6.NS.B.2, 7.NS....

 In Topic A, students learn the notation related to roots (8.EE.A.2). The definition for irrational numbers relies on students’ understanding of rational numbers, that is, students know that rational...

 In Topic A, students begin by transcribing written statements using symbolic notation. Then, students write linear and nonlinear expressions leading to linear equations, which are solved using...

 In Topic B, students work with constant speed, a concept learned in Grade 6 (6.RP.A.3), but this time with proportional relationships related to average speed and constant speed. These relationships...

 In Topic C, students know that the slope of a line describes the rate of change of a line. Students first encounter slope by interpreting the unit rate of a graph (8.EE.B.5). In general, students...

 Simultaneous equations and their solutions are the focus of Topic D. Students begin by comparing the constant speed of two individuals to determine which has greater speed (8.EE.C.8c). Students...

 Optional Topic E is an application of systems of linear equations (8.EE.C.8b). Specifically, a system that generates Pythagorean triples. First, students learn that a Pythagorean triple can be...

 In Topic B, students’ understanding of integer exponents is expanded to include the concept of magnitude as a measurement. Students learn to estimate how big or how small a number is using magnitude...

 In Topic A, students begin by learning the precise definition of exponential notation where the exponent is restricted to being a positive integer. In Lessons 2 and 3, students discern the structure...

 In Topic B, students create algebraic representations and apply their understanding of percent from Topic A to interpret and solve multistep word problems related to markups or markdowns, simple...

 The problemsolving material in Topic D provides students with further applications of percent and exposure to problems involving population, mixtures, and counting, in preparation for later topics...

 In Topic B, students learn that the unit rate of a collection of equivalent ratios is called the constant of proportionality and can be used to represent proportional relationships with equations of...

 In Topic C, students extend their reasoning about ratios and proportional relationships to compute unit rates for ratios and rates specified by rational numbers, such as a speed of ½ mile per ¼ hour...

 In Topic C, students problemsolve with rational numbers and draw upon their work from Grade 6 with expressions and equations (6.EE.A.2, 6.EE.A.3, 6.EE.A.4, 6.EE.B.5, 6.EE.B.6, 6.EE.B.7). They...

 To begin this module, students will generate equivalent expressions using the fact that addition and multiplication can be done in any order with any grouping and will extend this understanding to...