Unit 1 Lesson 1 (9/17)
[url=https://im.kendallhunt.com/MS/teachers/1/1/1/preparation.html]“Tiling the Plane”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Tabla de Contenidos
- Lesson
- 1.1 Classwork
- Practice
- 1.1 Independent Practice
1.1 Classwork
Which pattern doesn’t belong?[br][br][img width=478,height=429]https://lh6.googleusercontent.com/TJPoy_VEfgIDOjraAttIiIKekHOs-fkMtALry-FvWgu5gLvRoDoxVSsnuKgn-jlT_cVQUlCklwkCcjw_LguRdqwHRhV5jqL5m5Mlj4HCjd3NOfupq06IGL1TbhlISfPEFiEiKn50[/img][br][br] Explain why you think this pattern choice doesn't belong here.
Stop here for now!
Return to Zoom & wait for your next set of directions!
Classwork Part 1
[size=150]In your pattern, which shapes cover more of the plane: [i]blue rhombuses[/i], [i]red trapezoids[/i], or [i]green triangles[/i]? Explain how you know.[/size][br][br]You may use the sliders and the shapes in this app to help. Explore what you can see or hide, and what you can move or turn. [br]
Your teacher will assign you to look at Pattern A or Pattern B.
For the previous question, identify the pattern you were assigned and explain how you know your answer to the previous question is true.
In the app below, create a tiling pattern so that[br][list][*]the pattern has at least two different shapes[/*][*]the same amount of the plane is covered by each type of shape. [/*][/list][table][tr][td][icon]/images/ggb/toolbar/mode_rigidpolygon.png[/icon][/td][td]Use the RIGID POLYGON tool to construct a shape. See the quick silent screencast below to learn how to use this tool. [/td][/tr][tr][td][icon]/images/ggb/toolbar/mode_move.png[/icon][/td][td]Use the MOVE tool to deselect (turn off) any of the other tools. Select this tool when you want to move shapes around. [/td][/tr][/table][br]Below, explain how you know your construction meets both criteria.
See directions in the next question about what to build in this app.
1.1 Independent Practice
1) Draw three different quadrilaterals, each with an area of 12 square units. (3)
2) Use the RIGID POLYGON tool to create several copies of the rectangle. Then show how these rectangles could tile the plane. (3)
2.2) Use the RIGID POLYGON tool to create several copies of the rectangle. Then show how these rectangles could NOT tile the plane. (3)
3) The area of this shape is 24 square units. Which of these statements is true about the area? Select all that apply. (4)
[br][br][img width=304,height=274]https://lh6.googleusercontent.com/d3hFHa6AX-LnqRhnMbKGhxzPbim4RBmrl4CEq-MwTB1TyKchrHRLkSeA8lUBlPnIxu5ikY1K6OKJ2Ey9UuysSSYt9v1oqCUfxnd_1hvTZBRWNpEV0smIuUp0s4AxatyT3eQzDmre[/img]