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Content Area: Math
Index: 4.1A Grade 7 CPI 3
Standard: 4.1 - Number and Numerical Operations
Strand: C - Estimation
Cumulative Progress Indicator: 3 - The student will understand and use ratios, proportions, and percents (including percents greater than 100 and less than 1) in a variety of situations.
Grade: 7
Sample Activities:
· Students begin to see a ratio as both the comparison of two quantities and as a number in its own right. They are challenged to find ratios that they frequently use like $0.65 per pound, 55 miles per hour, and so on.
· In a social studies unit, students use population and area data for countries in South America to compute population densities, and then compare their results to those for other areas of the world.
· Students use two different sizes of grid paper to copy a simple drawing of a house from the smaller grid to the larger grid, investigating and discussing the change from one to the other and exploring ways to represent it numerically. They then copy the same drawing onto a third grid, smaller than the second but larger than the first.
· Students are challenged to use any combination of the digits 3, 4, 5, and 9 to make a ratio as close as possible to 90%. As follow-up, they invent other closeness problems for each other.
· Students search for as many uses of percent as they can find over the course of a week. The sources for the uses, however, are to be exclusively within the school setting. Likely entries in the resulting list are: grades on tests, foul shot success of the basketball team, a measure of how close the PTA is to their fund-raising goal for the new playground equipment, and so on. For each use found, the students explain what 100% would represent and whether percentages above 100% would make any sense in the given context.
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