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Community Based Mathematics Project of Philadelphia

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Grade
Math Focus
Context
Grade
8th Grade
Math Focus
Linear functions, Graphing a system of equations
Context
Everyday Life
Display Image
An iPhone
Overview / Lesson Summary

In this lesson, students compare data plans from different cell phone plans to determine which is a better deal for different amounts of data usage. The plans that are chosen can be represented as linear functions, the cost of the monthly charge and per gigabyte for extra data. Graphing the functions illustrates the rate of change and the "break even points" to help determine when each plan is a better deal.

Common Core Domain
Expressions & Equations
Grade
Math Focus
Context
Grade
6th Grade
Math Focus
Finding areas and relationships between areas of triangles, rectangles and trapezoids
Context
Art & Architecture
Everyday Life
Sports & Games
Display Image
Square with lines and dotted lines.
Display Image Caption
Fortune Teller
Overview / Lesson Summary

Frequently in mathematics, students memorize and use formulas without understanding where they come from or why they work. In this lesson, students use paper fortune tellers to see how the areas of common polygons (triangles, trapezoids) can be found by decomposing and rearranging the shapes to make rectangles. They also explore the relationships between areas of the shapes that are made in the process of making their own fortune teller. Another version of this lesson, Fortune Tellers: Shapes and Area, in which students identify shapes and find areas by counting squares, is available for grades 3-4.

Common Core Domain
Geometry
Grade
Math Focus
Context
Grade
6th Grade
Math Focus
Rates, fraction/percent equivalence, benchmark reasoning, unit fraction reasoning
Context
Everyday Life
Display Image
Dead iPhone battery
Overview / Lesson Summary

In this one-day lesson, students use their knowledge of fractions to estimate how long it takes phone batteries to charge.  This is a rate problem, and also an opportunity for students to deepen their understanding of fractions and percents, using a context they are familiar with and a visual bar model.  Students use their implicit knowledge of phone battery to estimate how much battery is left using percentages or fractions, and then develop their own strategies to estimate how long the battery will take to charge.

Common Core Domain
Ratios & Proportional Relationships
Grade
Math Focus
Context
Grade
6th Grade
7th Grade
Math Focus
Ratio and Proportion; Data Analysis
Context
Nutrition
Display Image
Bottle of Nesquik chocolate milk next to a glass of sugar cubes.
Overview / Lesson Summary

By investigating and representing the sugar content of popular beverages, students use their understanding of ratio, proportion and data analysis skills to read a nutritional label and use data to support an argument. Note this lesson can be followed by Rethink Your Drink 2: A Fair Comparison.

Common Core Domain
Ratios & Proportional Relationships
Statistics & Probability
Grade
Math Focus
Context
Grade
6th Grade
7th Grade
Math Focus
Unit rates
Context
Everyday Life
Nutrition
Display Image
Bottles of different colored drinks lined up in a row.
Overview / Lesson Summary

Following students' investigation of sugar content of popular beverages in What's in That Bottle? students use unit rates to compare sugar content across different container sizes.  Students then use the data they have gathered from both lessons to debate policies such as the sugar tax, advertising to children, and warning labels.  

Common Core Domain
Ratios & Proportional Relationships
Grade
Math Focus
Context
Grade
5th Grade
6th Grade
Math Focus
Using double number lines to locate, add and multiply decimal numbers and find unit rates
Context
Public Transportation
Neighborhood
Everyday Life
Display Image
A SEPTA Trolley
Overview / Lesson Summary

In this lesson, students explore an actual trolley route in West Philadelphia and determine the distance and the time it takes to travel between stops. The lesson can be adapted for other bus or trolley routes that stop at every block or at equidistant locations. For adaptations for grades 3-5, see Walk or Ride

Common Core Domain
Numbers & Operations in Base Ten
Number System
Ratios & Proportional Relationships