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Common Core: Math
Topic: Common Core Learning Standards
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 Student Outcomes Students decontextualize a given speed situation, representing symbolically the quantities involved with the formula rate x time.

 Student Outcomes Students use rates between measurements to convert measurement in one unit to measurement in another unit. They manipulate and transform units appropriately when multiplying or...

 Student Outcomes Students solve constant rate work problems by calculating and comparing unit rates.

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

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

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

 Student Outcomes While there is no physical way to divide two different quantities like (5 miles)/(2 hours), students make use of the structure of division and ratios to model (5 miles)/(2 hours) as...

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

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

 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 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 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...

 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. ...

 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...

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

 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...

 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...