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Common Core: Math
Topic: Common Core Learning Standards
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 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...

 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...

 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 build and clarify the relationship of addition and subtraction by evaluating identities such as w  x + x = w and w + x  x = w.

 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. ...

 Topic A focuses on the development of the number line in the opposite direction (to the left or below zero). Students use positive integers to locate negative integers, understanding that a number...

 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...

 Student Outcomes Students use visual models such as fraction bars and area models to divide fractions by fractions with different denominators. Students make connections between visual models and...

 Student Outcomes Students restate a ratio in terms of its value; e.g., if the ratio of length A to length B is 3:5 (in the same units), students state that “length A is 3/5 of length B”, “length B is...

 Student Outcomes Students associate with each ratio A:B the ordered pair (A, B) and plot it in the xy coordinate plane. Given a ratio table, students plot the ratios in the plane and observe that...

 Student Outcomes Students find the percent of a quantity. Given a part and the percent, students solve problems involving finding the whole.

 Student Outcomes Students use number lines that extend in both directions and use 0 and 1 to locate integers and rational numbers on the number line. Students know that the sign of a nonzero...

 Student Outcomes Students find the percent of a quantity. Given a part and the percent, students solve problems involving finding the whole.

 Student Outcomes Students show the area formula for the region bounded by a parallelogram by composing it into rectangles. They understand that the area of a parallelogram is the area of the region...

 Student Outcomes Students associate with each ratio A:B the ordered pair (A, B) and plot it in the xy coordinate plane. Students represent ratios in ratio tables, equations, and double number line...

 Student Outcomes Students divide fractions by mixed numbers by first converting the mixed numbers into a fraction with a value larger than one. Students use equations to find quotients.

 Student Outcomes Students write a fraction and a decimal as a percent of a whole quantity and write a percent of whole quantity as fraction or decimal.

 Student Outcomes Students connect estimation with place value in order to determine the standard algorithm for division.

 Student Outcomes Students solve problems by analyzing different unit rates given in tables, equations, and graphs.

 Student Outcomes Given a rate, students find ratios associated with the rate, including a ratio where the second term is one and a ratio where both terms are whole numbers. Students recognize that...

 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...

 Student Outcomes Students demonstrate further understanding of division of fractions when they create their own word problems. Students choose a measurement division problem, draw a model, find the...