CCSS

These are the resources that support this Common Core Standard.

CCSS.MATH.CONTENT.6.RP.A.1

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VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river’s length to its straight-line distance tell us? In this segment the geological forces that account for a river’s motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-variables-and-equations-segment-3-river-ratios

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-river-ratios

VIDEO: Brief Review: Adding and Subtracting Rational Numbers

In this Brief Review, the addition and subtraction of rational numbers is explored. Note: The download is an MP4 file.

VIDEO: Brief Review: Applications of Rational Numbers

In this Brief Review, applications of rational numbers are explored. Note: The download is an MP4 file.

VIDEO: Brief Review: Dividing Rational Numbers

In this Brief Review, division of rational numbers is explored. Note: The download is an MP4 file.

VIDEO: Brief Review: Multiplying Rational Numbers

In this Brief Review, multiplying rational numbers is explored. Note: The download is an MP4 file.

VIDEO: Brief Review: What Is a Rational Number?

In this Brief Review, rational numbers are defined. Note: The download is an MP4 file.

Definition--Ratio

The definition of the term "Ratio."

Definition--Scale Drawing

The definition of the term "Scale Drawing."

INSTRUCTIONAL RESOURCE: Pumpkin PI

In this Slide Show, do a hands-on geometry activity to measure π. Note: The download is a PPT file.

MATH EXAMPLE: Ratios and Rates: Example 01

Ratios and Rates: Example 1. Calculating a 1:1 ratio.

MATH EXAMPLE: Ratios and Rates: Example 02

Ratios and Rates: Example 2. Calculating a 1:2 ratio.

MATH EXAMPLE: Ratios and Rates: Example 03

Ratios and Rates: Example 3. Calculating a 1:3 ratio.

MATH EXAMPLE: Ratios and Rates: Example 04

Ratios and Rates: Example 4. Calculating a 1:4 ratio.

MATH EXAMPLE: Ratios and Rates: Example 05

Ratios and Rates: Example 5. Calculating a 1:5 ratio.

MATH EXAMPLE: Ratios and Rates: Example 06

Ratios and Rates: Example 6. Calculating a 2:1 ratio.

MATH EXAMPLE: Ratios and Rates: Example 07

Ratios and Rates: Example 7. Calculating a 2:3 ratio.

MATH EXAMPLE: Ratios and Rates: Example 08

Ratios and Rates: Example 8. Calculating a 2:5 ratio.

MATH EXAMPLE: Ratios and Rates: Example 09

Ratios and Rates: Example 9. Calculating a 1:2:1 ratio.

MATH EXAMPLE: Ratios and Rates: Example 10

Ratios and Rates: Example 10. Calculating a 1:3:1 ratio.

MATH EXAMPLE: Ratios and Rates: Example 11

Ratios and Rates: Example 11. Calculating a 1:4:1 ratio.

MATH EXAMPLE: Ratios and Rates: Example 12

Ratios and Rates: Example 12. Equivalent ratios for 3:4:5 right triangles.

MATH EXAMPLE: Ratios and Rates: Example 13

Ratios and Rates: Example 13. Equivalent ratios for 5:12:13 right triangles.

MATH EXAMPLE: Ratios and Rates: Example 14

Ratios and Rates: Example 14. Equivalent ratios for 30-60-90 right triangles.

MATH EXAMPLE: Ratios and Rates: Example 15

Ratios and Rates: Example 15. Equivalent ratios for 45-45-90 right triangles.

MATH EXAMPLE: Ratios and Rates: Example 16

Ratios and Rates: Example 16. Calculating rate for distance vs time.