MAP 6th Grade Math

A comprehensive course designed to build foundational and advanced math skills for 6th-grade students, preparing them for the MAP assessment and real-world problem-solving.

Advanced Topics

Ratios in Tables and Graphs

Making Sense of Data with Ratios

Ratios can be shown in tables and on graphs to help us spot patterns and make predictions.

Using Tables

A table can list different pairs of values that keep the same ratio. If the ratio of apples to oranges is 2:3, a table might show 4 apples for 6 oranges, 6 apples for 9 oranges, and so on.

Graphing Ratios

You can plot ratios on a coordinate grid. If the relationship is proportional, the points will line up and pass through the origin (0,0).

Why Is This Useful?

Using tables and graphs helps us see patterns and solve more complex problems, like comparing different pricing plans or recipes.

Real-Life Applications

From comparing cell phone plans to tracking exercise routines, ratios in graphs and tables make information easy to understand.

Key Formula

\[y = kx\]

Examples

  • A table shows 2 pencils cost $1, 4 pencils cost $2, 6 pencils cost $3—this is a constant ratio.

  • Plotting hours worked vs. money earned at a constant hourly rate forms a straight line through the origin.

In a Nutshell

Tables and graphs help us visualize and use ratios in real-world data.

Key Terms

Proportional Relationship
A relationship where two quantities increase at the same rate.