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Common Core: Standard
Common Core: ELA
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 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...

 Grade 5 Module 2: MultiDigit Whole Number and Decimal Fraction Operations In Module 2 students apply patterns of the base ten system to mental strategies and a sequential study of multiplication...

 Grade 5 Module 4: Multiplication and Division of Fractions and Decimal Fractions Grade 5’s Module 4 extends student understanding of fraction operations to multiplication and division of both...

 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 5 Module 6: Problem Solving with the Coordinate Plane In this 40day module, students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems. ...

 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...

 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...

 Student Outcomes Students identify both the additive and multiplicative structure of a ratio table and use the structure to make additional entries in the table. Students use ratio tables to solve...

 Student Outcomes Students use visual models such as fraction bars and area models to show the division of fractions by fractions with common denominators. Students make connections to the...

 Student Outcomes Students create equivalent ratios using a ratio table and represent these ratios on a double number line diagram. Students extend and use a double number line diagram to solve ratio...

 Student Outcomes Students relate decimals to mixed numbers and round addends, minuends, and subtrahends to whole numbers in order to predict reasonable answers. Students use their knowledge of adding...

 Student Outcomes Students use positive and negative numbers to indicate a change (gain or loss) in elevation with a fixed reference point, temperature, and the balance in a bank account. Students use...