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2-D to 3-D Paper Folding

Resource:
2-D to 3-D Paper Folding

Activity that can be used either as an introduction to the unit or can be used later in the unit to informally assess student thinking.

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Apple Mothership

Resource:
Apple Mothership

This resource is a Dan Meyer's 3 Acts. The information about the Apple Mothership is provided to elicit student curiousity around how many people per square foot can fit in the space. Students will request information they need to apply volume, density and proportional reasoning in order to answer the questions that are generated. 

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Area of the Base

Resource:
Area of the Base

Use the structure of a diagram to find the area of the base in one of two main methods, both of which involve using similarity.

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Big Nickel (3 Acts)

Resource:
Big Nickel (3 Acts)

Students generate questions based on a short clip of a giant nickel monument. They are given the opportunity to ask for information they would need in order to answer the question of interest generated by the group. This is something that can be used to connect back to Right Triangle Trigonometry. This activity follows the structure of Dan Meyer's Three Acts.

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Calculating Volumes of Compound Objects

Resource:
Calculating Volumes of Compound Objects

This lesson unit is intended to help you assess how well students solve problems involving measurement and in particular, to identify and help students who have difficulty:
Computing measurements using formulas.
Decomposing compound shapes into simpler ones.
Using right triangles and their properties to solve real-world problems.

Car Caravan

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Car Caravan

This Dan Meyer's 3 Acts lesson elicits student curiosity around how many toy cars are in the given image. Students generate the information they will need in order to answer this question based on the ideas that students have for answering this question.

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Cavalieri's Principle in 2D

Resource:
Cavalieri's Principle in 2D

Geogebra slider that represents the area of a rectangle split horizontally to represent Cavalieri's Principle in 2D.

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Choosing a Formative Assessment Lesson for Geometry, Unit 5

Geometry
Unit 5: Extending to Three Dimensions
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Choosing a Formative Assessment Lesson for Geometry, Unit 5

This document supports teachers in choosing a formative assessment lesson for Unit 5 in Geometry.

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Comparing Perimeter, Area, and Volume

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Comparing Perimeter, Area, and Volume

These three parts are intended to support students in making connections between 2 dimensional and 3 dimensional objects, especially how scaling changes these objects and how we can carefully partition objects in order to make relationships between two otherwise different geometric shapes.

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Compound Volume

Resource:
Compound Volume

Use the structure of a set of compound volume diagrams and some compound volume formulas to make matches between the formulas and the volume diagrams.

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Counting Cubes

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Counting Cubes

Chunk and change the form of a 3D solid in order to count the number of cubes and connect counting cubes to various expressions for finding volume.

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Cross-sections

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Cross-sections

Connect what students know about three dimensional shapes to find cross-sections for those shapes.

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