July 9, 2010

This unit makes use of the "Sims" family developed in Unit 1 to extend learning into different conceptual domains. They will find the percentage of their income they spend on various budget categories and then use these figures as a springboard into discussions comparing those figures to the average American family. They will also compare and contrast these figures with families from cultures across the globe. They will determine their income tax bracket, budget for a family road trip, use 2-variable equations to predict income over time, and use class data to create scatter plots and generate simple statistical measures for the class economy. In sum, this unit seeks to solidify student conceptual understanding and engagement in topics of the 7th grade curriculum that are often considered dull, uninteresting, and completely divorced from the students' actual experience.

- Mathematics > General
- Mathematics > Applied Mathematics
- Mathematics > Data Analysis & Probability
- Mathematics > Number Sense & Operations
- Mathematics > Problem Solving
- Mathematics > Statistics

- Grade 6
- Grade 7
- Grade 8

The student will describe and compare data, using ratios, and will use appropriate notations, such as a/b, a to b, and a:b.

investigate and describe fractions, decimals, and percents as ratios;

demonstrate equivalent relationships among fractions, decimals, and percents; and

describe mean as balance point; and

decide which measure of center is appropriate for a given purpose.

The student will solve single-step and multistep practical problems, using proportional reasoning.

The student will represent relationships with tables, graphs, rules, and words.

write verbal expressions as algebraic expressions and sentences as equations and vice versa; and

evaluate algebraic expressions for given replacement values of the variables.

solve practical problems involving rational numbers, percents, ratios, and proportions; and

determine the percent increase or decrease for a given situation.

make comparisons, predictions, and inferences, using information displayed in graphs; and

construct and analyze scatterplots.

The student will make connections between any two representations (tables, graphs, words, and rules) of a given relationship.

The student will graph a linear equation in two variables.

The student will identify the domain, range, independent variable, or dependent variable in a given situation.