6th Grade Unit 1 Lesson 01.notebook€¦ · 6th Grade Unit 1 Lesson 01.notebook 1 MATERIALS Lesson 1 Materials Tiling the Plane needed for this lesson •Geometry Toolkits For grade

6th Grade Unit 1 Lesson 01.notebook

1MATERIALS

Lesson 1Tiling the Plane

Materials

needed

for this

lesson

• Geometry Toolkits

For grade 6: tracing paper, graph paper, colored pencils, scissors, and an index card to use as a straightedge or to mark right angles.

UNIT 1

Assemble geometry toolkits. It would be best if students have access to these toolkits at all times throughout the unit.

crudiselText BoxTeacher page


2LESSON TITLE

UNIT 1 Lesson 1Tiling the Plane


3OBJECTIVE

UNIT 1 Lesson 1

Objective: • I can explain the meaning of area.

Let’s look at tiling patterns and think about area.

Tiling the Plane


4WARMUP

Warmup

link to worksheet Cont...


5WARMUP

Warmup

Unit 1, Lesson 1: Which One Doesn't Belong: Tilings

24 students

1 min quiet time

2 min partner talk

Which pattern doesn't belong?

Cont...


6WARMUP

Which pattern doesn't belong?

Warmup

Unit 1, Lesson 1: Which One Doesn't Belong: Tilings

24 students

1 min quiet time

2 min partner talk

"Pattern A does not belong because...""All ____ have ____ except ____ ""What makes ____ different from the others is ____ ""Only ____ has ____ "

Cont...

crudiselText Boxteacher page


71.2 ACTIVITY

Activity 1.2Students can use Geometry Toolkits!

Cont...link to worksheet



81.2 ACTIVITY

1.2 Activity partner

link to student worksheet with applet

1.2: More Red, Green, or Blue?

2 students

78 min quiet time

4 min partner talk

• One partner will analyze Pattern A and the other will analyze Pattern B.

• Your job is to compare the amount of the plane covered by each shape in the pattern.

Which shape covers more of the plane?

Cont...

http://m.openup.org/1/6-1-1-2crudiselText Boxteacher page


91.2 ACTIVITY

1.2 Activity

link to student worksheet with applet


Is there more of one color than another?

Does the largest shape (the trapezoid) cover more area of the plane?

Does the shape with the most pieces (the triangle) cover more area of the plane?

Cont...

http://m.openup.org/1/6-1-1-2


10ACTIVITY SYNTHESIS

Activity 1.2 Synthesis

Which type of shape covers more of the plane?

How does the area of the trapezoid compare to the area of the triangle?

How does the area of a rhombus compare to the area of the triangle?

Is it possible to compare the area of the rhombuses in Pattern A and the area of the triangles in Pattern B? How?

link to student worksheet with applet Cont...

http://m.openup.org/1/6-1-1-2


11ARE YOU READY FOR MORE

Activity 1.2

Are You Ready For More

link to worksheet



12LESSON SYNTHESIS

Lesson Synthesis 1 min quiet time2 min partner talk

partner

Lesson 1

In this lesson,• we have started to reason about what it means for two shapes to have the same area.

What are some of the tools in the geometry toolkit and what are they used for?

Draw two shapes that you know do not have the same area. How can you tell?



13LESSON SUMMARY

Lesson Summary

Read through your Lesson Summary...

link to worksheet


14COOL DOWN

Cool Downcomplete your "cool down"

link to worksheet


15PRACTICE PROBLEMS

PRACTICE PROBLEMS


Page 1


16PRACTICE PROBLEMS

PRACTICE PROBLEMS


Page 2


17PRACTICE PROBLEMS

PRACTICE PROBLEMS


Page 3


18PRACTICE PROBLEMS

PRACTICE PROBLEMS


Page 4

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19PRACTICE SOLUTIONS

PRACTICE SOLUTIONS


Page 1

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PRACTICE SOLUTIONS

Cont...

link to worksheet

Page 2



PRACTICE SOLUTIONS


Page 3




PRACTICE SOLUTIONS


Page 4




PRACTICE SOLUTIONS

link to worksheet

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24Jun 411:01 AM

Attachments

611a student_task_statements.pdf

611b student_cool_down.pdf

611c practice_problems.pdf

Unit 1, Lesson 1: Tiling the PlaneLet’s look at tiling patterns and think about area.

1.1: Which One Doesn’t Belong: Tilings

Which pattern doesn’t belong?

GRADE 6 MATHEMATICS BY

NAME DATE PERIOD

Student Task Statement

m.openup.org/1/6-1-1-21.2: More Red, Green, or Blue?

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

In your pattern, which shape covers more of the plane: blue rhombuses, red trapezoids, or greentriangles? Explain how you know.

Pattern A

Pattern B


NAME DATE PERIOD

Are you ready for more?

On graph paper, create a tiling pattern so that:

The pattern has at least two different shapes.The same amount of the plane is covered by each type of shape.

Lesson 1 Summary

In this lesson, we learned about tiling the plane, which means covering a two-dimensional region withcopies of the same shape or shapes such that there are no gaps or overlaps.

Then, we compared tiling patterns and the shapes in them. In thinking about which patterns and shapescover more of the plane, we have started to reason about area.

We will continue this work, and to learn how to use mathematical tools strategically to help us domathematics.

Lesson 1 Glossary Terms

area

region

••

•

•


NAME DATE PERIOD

Unit 1: Area and Surface Area Lesson 1: Tiling the Plane 3

Unit 1, Lesson 1: Tiling the Plane

1.1: Which One Doesn’t Belong: Tilings


Are you ready for more?

Lesson 1 Summary

Lesson 1 Glossary Terms

Blank Page

SMART Notebook


Think about your work today, and write your best definition of area.


NAME DATE PERIOD

Unit 1: Area and Surface Area Lesson 1: Tiling the Plane 1

COOL DOWN


Blank Page

SMART Notebook

NAME DATE PERIOD

OpenUpResources(openupresources.org) 1

Unit 1, Lesson 1: Tiling the Plane 1. Whichsquare—large,medium,orsmall—coversmoreoftheplane?Explainyour

reasoning.

2. Drawthreedifferentquadrilaterals,eachwithanareaof12squareunits.

Practice Problems

NAME DATE PERIOD


3. Usecopiesoftherectangletoshowhowarectanglecould:a. tiletheplane.

b. nottiletheplane.

NAME DATE PERIOD


4. Theareaofthisshapeis24squareunits.Whichofthesestatementsistrueaboutthearea?Selectallthatapply.

A. Theareacanbefoundbycountingthenumberofsquaresthattouchtheedgeoftheshape.

B. Ittakes24gridsquarestocovertheshapewithoutgapsandoverlaps.C. Theareacanbefoundbymultiplyingthesideslengthsthatare6unitsand4

units.D. Theareacanbefoundbycountingthegridsquaresinsidetheshape.

E. Theareacanbefoundbyadding4 3and6 2.

NAME DATE PERIOD


5. Herearetwocopiesofthesamefigure.Showtwodifferentwaysforfindingtheareaoftheshadedregion.Allanglesarerightangles.

6. Whichshapehasalargerarea:arectanglethatis7inchesby inch,orasquarewith

sidelengthof2 inches?Showyourreasoning.

SMART Notebook

Page 1Page 2Page 3Page 4Page 5Page 6Page 7Page 8Page 9Page 10Page 11Page 12Page 13Page 14Page 15Page 16Page 17Page 18Page 19Page 20Page 21Page 22Page 23Page 24Attachments Page 1

Documents

6th Grade Unit 1 Lesson 01.notebook€¦ · 6th Grade Unit 1 Lesson 01.notebook 1 MATERIALS Lesson 1 Materials Tiling the Plane needed for this lesson •Geometry Toolkits For grade