Module 1

This course is a part of 6th grade (Eureka Math/EngageNY), a 6-course Topic series from Khan Academy.

"In Module 1, students build on their prior work in measurement and in multiplication and division as they study the concepts and language of ratios and unit rates. They use proportional reasoning to solve problems. In particular, students solve ratio and rate using tape diagrams, tables of equivalent ratios, double number line diagrams, and equations. They plot pairs of values generated from a ratio or rate on the first quadrant of the coordinate plane." Eureka Math/EngageNY (c) 2015 GreatMinds.org

This course contains 4 segments:

Topic A: Representing and reasoning about ratios

Topic A includes lessons 1-8 and covers ratios, equivalent ratios, solving problems by finding equivalent ratios, associated ratios and the value of a ratio, and equivalent ratios defined through the value of a ratio.

Topic B: Collections of equivalent ratios

Topic B includes lessons 9-15 and covers tables of equivalent ratios, the structure of ratio tables—additive and multiplicative, comparing ratios using ratio tables, from ratio tables to double number line diagrams, from ratio tables to equations using the value of the ratio, from ratio tables, equations, and double number line diagrams to plots on the coordinate plane, and a synthesis of representations of equivalent ratio collections.

Topic C: Unit rates

Topic C includes lessons 16-23 and covers from ratios to rates, from rates to ratios, finding a rate by dividing two quantities, comparison shopping—unit price and related measurement conversions. getting the job done—speed, work, and measurement units, and problem solving using rates, unit rates, and conversions.

Topic D: Percents

Topic D includes lessons 24-29 and covers percent and rates per 100, a fraction as a percent, percent of a quantity, and solving percent problems.