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Notes for teachers

My classes are about 50

minutes long. We do bellwork,

some type of notes and/or

classwork and a closure each

day. So this lesson took a

couple days to get through.

Depending on your setup may

take less or more time.

I used this lesson for my 8th

grade Geometry class.

List of Materials

Fun size candy
Colored pencils/markers
Pencils
Rulers
Tape
Scissors
Copy Paper
Patty Paper (optional)
Large paper (I used cardstock that was approximately

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Standards

Mathematics:

7.G.A1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

8.G.A3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

G.G-SRT.A.1

Verify experimentally the properties of dilations given by a center and a scale factor.

Science and Engineering Practices (a dimension of the Arizona Science Standards)

ask questions and define problems
develop and use models
plan and carry out investigations
analyze and interpret data
use mathematical and computational thinking
construct explanations and design solutions

Standards for Mathematical Practices (MP)

*Model with mathematics.

*Use appropriate tools strategically.

*Attend to precision.

*Look for and make use of structure.

Standards

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Objectives:

Students will be able to

understand the definition of a dilation,
construct a dilation model from the candy wrapper
calculate scale factors for given dilations.

Key Vocabulary: Scale factor (k), dilation, projection lines, enlargement, reduction

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Agenda

Sample day

Bellwork (10-25 minutes - depends how much discussion) Art & Math Dilation Activity (elephant)

Classwork (20-35 minutes)

Scaling UP Project

Closure (5 minutes) turn and talk to a neighbor; asked a question based regarding Dilations

This activity takes time in order for students to NOT feel rushed.

I give a couple FULL days in class to work on the project and then 10-15 minutes on other days.

I don’t give a final deadline for final product until about two weeks later. (usually after we have moved on).

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Intro/Driving Question/Opening

Information: We have discussed about Scale Drawings, such as maps, animation and blueprints. We have also learned that these Scale Drawings are based on a Scale Factor. If the scale factor is less than one, the size of an object or a number is being decreased (reduction). If the scale factor is greater than one, the size of an object or a number is being increased (enlargement).

To start the lesson I had out the Art & Math Scale Drawing activity found on Teachers pay Teachers (link in notes).

Great way to introduce the grid that is going to be used on their activity today.

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Safety Slide :)

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Hands-on Activity Instructions

Start out by letting students choose a candy no bigger than “fun size”. They may also bring in their own candy if they choose.
Carefully open the wrapper and trim edges if needed.
Tape wrapper onto center of copy paper.
Hand out copy of Scaling Up worksheet.

Scaling Up Handout

Remaining Directions are all on the handout.
Be flexible on time if you can. The less rushed kids feel the better the quality of the final product!

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Sample of Grid Technique and treating each box as its own picture.

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Sample of Grid Art found on the internet

Sample of Videos

Grid Scale Technique by Mario Pires

How to use a grid to draw and transfer images by Mr. Otter Art Studio

Pop Art Grid Drawing by Kyle Wood

How to Draw Using Grid Method (Jerry) - Tom & Jerry | Beginner Tutorial | artkitek viktor

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Student Work at different stages

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Assessment

Assessment for this one is the final product and how accurate they construct the grid to scale.

I do give a paper quiz later on dilations but for this project, the final product is the assessment.

Also have informal conversations to assess on how the student found what scale factor they were going to use for the project.

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Differentiation

Delta Math - can create an assignment to help reinforce the concept or extend.

Quizizz has lessons and quizzes on the topic as well.

Can find some good resources on Teachers Pay Teachers for free.

Dilation Practice Worksheet

Remediation

Extension/Enrichment

DESMOS: Dilations Golf

Delta Math

Quizizz

Can find some good resources on Teachers Pay Teachers for free.

Example

Dilations Mystery Pic from mrscasiasmath

Can talk about how we dilate for maps, blueprints, etc. Lots of “rabbit holes” to follow for talking about this concept!