Our Third Unit of Study: Reasoning with Ratios and Rates

Students focus on developing an understanding of ratio concepts and using ratio reasoning to solve problems. By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative size of quantities, students connect their understanding of multiplication and division with ratios and rates. Students learn to use ratio and rate language to describe relationships; expand the scope of problems for which they can use multiplication and division; connect ratios and fractions; and solve a wide variety of problems involving ratios and rates.

In addition, Accelerated I students will grow in their ability to analyze proportional relationships working with percent, simple interest, percent increase and decrease, tax, problems involving unit rates associated with ratios of fractions, and proportional relationships in geometric figures.

Connections to Subsequent Learning:

Students‘ work in the Ratios and Proportional Relationships domain in 6th and 7th grade will contribute to their understanding of skills in the Functions domain and Algebra skills in later courses. The constant of proportionality will be redefined as the slope of a linear relationship. Students will extend their work with proportional relationships, which must contain the point (0, 0), to linear relationships which have y-intercepts other than 0.

TEXT: *Big Ideas Advanced 1 (Orange), Larson & Boswell - www.bigideasmath.com*