Number and Operations (NCTM)
Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
Work flexibly with fractions, decimals, and percents to solve problems.
Grade 7 Curriculum Focal Points (NCTM)
Number and Operations and Algebra and Geometry: Developing an understanding of and applying proportionality, including similarity
Students extend their work with ratios to develop an understanding of proportionality that they apply to solve single and multi-step problems in numerous contexts. They use ratio and proportionality to solve a wide variety of percent problems, including problems involving discounts, interest, taxes, tips, and percent increase or decrease. They also solve problems about similar objects (including figures) by using scale factors that relate corresponding lengths of the objects or by using the fact that relationships of lengths within an object are preserved in similar objects. Students graph proportional relationships and identify the unit rate as the slope of the related line. They distinguish proportional relationships (y/x = k, or y = kx) from other relationships, including inverse proportionality (xy = k, or y = k/x).