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 Grade 6 Mathematics Module 1: Ratios and Unit Rates Students begin their sixth grade year investigating the concepts of ratio and rate. They use multiple forms of ratio language and ratio notation,...

 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 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...

 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...

 Topic A builds on students’ conceptual understanding of percent from Grade 6 (6.RP.3c), and relates 100% to “the whole.” Students represent percents as decimals and fractions and extend their...

 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...

 Students revisit scale drawings in Topic C to solve problems in which the scale factor is represented by a percent (7.RP.A.2b, 7.G.A.1). They understand from their work in Module 1, for example,...

 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 A, students examine situations carefully to determine if they are describing a proportional relationship. Their analysis is applied to relationships given in tables, graphs, and verbal...

 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 D, students bring the sum of their experience with proportional relationships to the context of scale drawings (7.RP.2b, 7.G.1). Given a scale drawing, students rely on their background in...

 With the concept of ratio equivalence formally defined, students explore collections of equivalent ratios in real world contexts in Topic B. They build ratio tables and study their additive and...

 In Topic C, students build further on their understanding of ratios and the value of a ratio as they come to understand that a ratio of 5 miles to 2 hours corresponds to a rate of 2.5 miles per hour...

 In Topic D, students are introduced to percent and find percent of a quantity as a rate per 100. Students understand that N percent of a quantity has the same value as N/100 of that quantity. ...

 Students' previous experience solving problems involving multiplicative comparisons, such as “Max has three times as many toy cars as Jack,” (4.OA.2) serves as the conceptual foundation for...