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A New Way to Interpret a over b: IM 6.6.5
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1. Lesson 6.6.5
- IM 6.6.5 Lesson: A New Way to Interpret a over b
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2. Practice 6.6.5
- IM 6.6.5 Practice: A New Way to Interpret a over b
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A New Way to Interpret a over b: IM 6.6.5
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 19, 2020
“A New Way to Interpret a over b” from IM Grade 6 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 6.6.5
- IM 6.6.5 Lesson: A New Way to Interpret a over b
- Practice 6.6.5
- IM 6.6.5 Practice: A New Way to Interpret a over b
IM 6.6.5 Lesson: A New Way to Interpret a over b
Solve each equation. Explain your reasoning.
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Solve each equation.
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Insert icons of GeoGebra tools
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Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
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Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
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Insert Math
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• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
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Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
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• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
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Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
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1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
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Solve the equation. Try to find some shortcuts.
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Take turns with your partner telling a story that might be represented by this equation. Choose a story and type it below.
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State what quantity describes in your story.
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1. Ordered list
Link [ctrl+shift+2]
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[code]Code [ctrl+shift+4]
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Insert icons of GeoGebra tools
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Solve the equation. If you get stuck, consider drawing a diagram.
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1. Ordered list
Link [ctrl+shift+2]
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[code]Code [ctrl+shift+4]
Insert table
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Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
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Insert Math
Take turns with your partner telling a story that might be represented by this equation. Choose a story and type it below.
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• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
State what quantity describes in your story.
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Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
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Insert Math
Solve the equation. If you get stuck, consider drawing a diagram.
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• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
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Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
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IM 6.6.5 Practice: A New Way to Interpret a over b
Select all the expressions that equal
Which expressions are solutions to the equation ? Select all that apply.
Solve each equation.
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1. Ordered list
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For each equation, write a story problem represented by the equation. For each equation, state what quantity represents. If you get stuck, consider drawing a diagram.
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[code]Code [ctrl+shift+4]
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Insert Math
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Write as many mathematical expressions or equations as you can about the image. Include a fraction, a decimal number, or a percentage in each.
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In a lilac paint mixture, 40% of the mixture is white paint, 20% is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint.
How many cups of white paint are used?
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How many cups of red paint are used?
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How many cups of lilac paint will this batch yield?
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If you get stuck, consider using a tape diagram.
Triangle P has a base of 12 inches and a corresponding height of 8 inches. Triangle Q has a base of 15 inches and a corresponding height of 6.5 inches. Which triangle has a greater area? Show your reasoning.
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