Guided Lessons

# Scale, Shapes, and Sets

Use this fun and easy lesson plan to teach your students to predict and calculate dimensions for shapes to scale in sets.

No standards associated with this content.

No standards associated with this content.

No standards associated with this content.

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Students will be able to calculate scale dimensions and predict next shapes to scale in a set.

(5 minutes)
• Draw two lines in front of your students, one twice as long as the other labeled 4 cm and 2 cm respectively.
• Have your students think, pair, and share the answer to this question, "What kind of relationship do these two lines have to one another?”
• Allow student responses and draw a connection to the fact that these two lines are in scale with one another: the longer line is two times the scale of the shorter one.
• Write the following, “The shorter line is [blank] times the scale of the longer one.” Have your students think, pair, and share the missing amount.
• Direct the whole class to share-out of answers and reasonings.
• Confirm the answer to be 1/2.
• Explain that ScaleIs the amount a measurement is multiplied by to create proportional model. Shapes are ProportionalTo one another if their internal angles are the same. This lesson will focus on proportional shapes.
(10 minutes)
• Hand out and preview the Predicting Shapes to Scale worksheet.
(10 minutes)
• Lead your class through the first exercise of the Predicting Shapes to Scale worksheet and answer any clarifying questions.
(15 minutes)
• Release your students to complete the remaining exercises of the Predicting Shapes to Scale worksheet.

Support

• Use sentence frames to scaffold student thinking around the idea of scale, like: “The dimension of the larger item is [blank] times to scale of the smaller item in the set” and “The dimension of the smaller item is [blank] times to scale of the larger item in the set.”

Enrichment

• Have students calculate dimensions for Two or moreItems, larger and smaller in each set.
• A computer with internet access and projector makes for a great setup to display proportional models to scale.
• Additional information on scale or "scale factor" is expressed clearly in the video, How to Calculate Scale Factor, listed in the related media section.
(5 minutes)
• Show your students a shape with a measurement of at least one feature and have them describe up to two additional scaled items for a set.
(10 minutes)
• Allow others to challenge answers to dispute claims.
• Phone a friend for support to take over explanations when they need assistance.