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Common Core: Math
Topic: Common Core Learning Standards
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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 6 Module 2: Arithmetic Operations Including Division of Fractions In Module 1, students used their existing understanding of multiplication and division as they began their study of ratios and...

 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...

 Grade 6 Module 3: Rational Numbers Students are familiar with the number line and determining the location of positive fractions, decimals, and whole numbers from previous grades. Students extend the...

 Student Outcomes Students understand that a ratio is an ordered pair of nonnegative numbers, which are not both zero. Students understand that a ratio is often used instead of describing the first...

 Grade 6 Module 5: Area, Surface Area, and Volume Problems In this module, students utilize their previous experiences in order to understand and develop formulas for area, volume, and surface area. ...

 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...

 Grade 6 Module 6: Statistics In this module, students move from simply representing data into analysis of data. Students begin to think and reason statistically, first by recognizing a statistical...

 Student Outcomes Students reinforce their understanding that a ratio is an ordered pair of nonnegative numbers, which are not both zero. Students continue to learn and use the precise language and...

 Student Outcomes Students use visual models such as fraction bars, number lines, and area models to show the quotient of whole numbers and fractions. Students use the models to show the connection...

 Student Outcomes Students develop an intuitive understanding of equivalent ratios by using tape diagrams to explore possible quantities of each part when given the parttopart ratio. Students use...

 Student Outcomes Students use tape diagrams to find an equivalent ratio when given the parttopart ratio and the total of those two quantities. Students use tape diagrams to find an equivalent...

 Student Outcomes Students use tape diagrams to solve problems when given a ratio between two quantities and a change to those quantities that changes the ratio.

 Student Outcomes Given a ratio, students identify equivalent ratios. Students use tape diagrams and the description of equivalent ratios to determine if two ratios are equivalent. Students relate...

 Student Outcomes Students understand the value of a ratio A:B is A/B. They understand that if two ratios are equivalent, the ratios have the same value. Students use the value of a ratio to solve...

 Student Outcomes Students understand the relationship between ratios and fractions. Students describe the fraction A/B associated with the ratio A:B as the value of the ratio A to B. Students...

 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 A, students extend their previous understanding of multiplication and division to divide fractions by fractions. They construct division stories and solve word problems involving division...

 Student Outcomes Students extend their understanding of the number line, which includes zero and numbers to the right, that are above zero, and numbers to the left, that are below zero. Students use...

 Student Outcomes Students understand that a ratio is often used to describe the relationship between the amount of one quantity and the amount of another quantity as in the cases of mixtures or...

 Student Outcomes Students use visual models such as fraction bars, number lines, and area models to show the quotient of whole numbers and fractions. Students use the models to show the connection...

 Student Outcomes Students solve problems by comparing different ratios using two or more ratio tables.

 Student Outcomes Students recognize that they can associate a ratio of two quantities, such as the ratio of miles per hour is 5:2, to another quantity called the rate. Given a ratio, students...

 Student Outcomes Students understand that percents are related to parttowhole ratios and rates where the whole is 100. Students model percents and write a percent as a fraction over 100 or a...