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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,...

 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...

 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...

 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 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...

 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 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...

 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 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 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 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 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. Students represent ratios in ratio tables, equations, and double number line...