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Lesson 15

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meet slope

Warm Up

Lesson

Summary

Cool

Down

Reflections

Student

Task

Learning

Targets

Practice Problems

Lesson Video

Unit 2

Scale Drawings

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15.1 Warm Up - Equal Quotients

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Write some numbers that are equal to 15 ÷ 12.

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Learning Targets

  • I can draw a line on a grid with a given slope.
  • I can find the slope of a line on a grid.

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15.2 Similar Triangles on the Same Line

Use the link to go to the applet

The goal is to make one triangle match up with the other triangle.

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Similar Triangles on the Same Line

Use the link to go to the applet

  1. The figure shows three right triangles, each with its longest side on the same line.

Your teacher will assign you two triangles. Explain why the two triangles are similar.

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15.2 Similar Triangles on the Same Line

triangle

vertical side

horizontal side

(vertical side) ÷ (horizontal side)

ABC

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CDE

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FGH

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  1. Complete the table.

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15.3 Multiple Lines with the Same Slope

use the link for the applet

  1. Draw two lines with slope 3. What do you notice about the two lines?
  2. Draw two lines with slope ½ . What do you notice about the two lines?

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Are you Ready for more?

As we learn more about lines, we will occasionally have to consider perfectly vertical lines as a special case and treat them differently. Think about applying what you have learned in the last couple of activities to the case of vertical lines.

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What is the same? What is different?

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15.4 Different Slopes of Different Lines

Here are several lines.

  1. Match each line shown with a slope from this list:

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  • One of the given slopes does not have a line to match. Draw a line with this slope on the empty grid (F).

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Lesson Summary

The purpose of this lesson is to learn what slope of a line is.

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15.5 Cool Down: Finding slope and graphing lines

Lines and are graphed.

  1. Which line has a slope of 1, and which has a slope of 2?
  2. Use a ruler to help you graph a line whose slope is ⅓. Label this line a.

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Reflections

  • I can draw a line on a grid with a given slope.
  • I can find the slope of a line on a grid.

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Practice Problems

Must do: All problems

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ALL PERIODS click here to submit homework.

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Lesson Video

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