Open Up - Grade 6 - Mathematics - Unit 1 - Lesson 1

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Last updated over 2 years ago

Which pattern doesn't belong?

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Your teacher will assign you to look at Pattern A or Pattern B.

In your pattern, which shapes cover more of the plane: blue rhombuses, red trapezoids, or green triangles? Explain how you know.

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Draw rectangles to show how a rectangle could:

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Student Practice

Which square—large, medium, or small—covers more of the plane? Explain your reasoning.

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Draw three different quadrilaterals, each with an area of 12 square units.

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Use copies of the rectangle to show how a rectangle could:
a. tile the plane.

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Use copies of the rectangle to show how a rectangle could:
b. not tile the plane.

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The area of this shape is 24 square units. Which of these statements is true about the area? Select all that apply.

A: The area can be found by counting the number of squares that touch the edge of the shape.

B: It takes 24 grid squares to cover the shape without gaps and overlaps

C: The area can be found by multiplying the sides lengths that are 6 units and 4 units.

D: The area can be found by counting the grid squares inside the shape.

E: The area can be found by adding 4 x 3 and 6 x 2.

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Here are two copies of the same figure. Show two different ways for finding the area of the shaded region. All angles are right angles.

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10.

Which shape has a larger area: a rectangle that is 7 inches by 3/4 inch, or a square with side length of 

inches? Show your reasoning.

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This lesson is from Illustrative Mathematics. Grade 6, Unit 1, Lesson 1. Internet. Available from https://curriculum.illustrativemathematics.org/MS/teachers/1/1/1/index.html; accessed 19/August/2021.

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR's 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.

Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The second set of English assessments (marked as set "B") are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Spanish translation of the "B" assessments are copyright 2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

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