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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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• Unit 5

#### Extending to Three Dimensions

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.

All Resources From:
• Unit 5

#### Extending to Three Dimensions

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.

All Resources From:
• Unit 5

#### Extending to Three Dimensions

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.

All Resources From:
• Unit 5

#### Extending to Three Dimensions

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.

All Resources From:
• Unit 5

#### Extending to Three Dimensions

Car Caravan

Resource:
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.

All Resources From:
• Unit 5

#### Extending to Three Dimensions

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.

All Resources From:
• Unit 5

#### Extending to Three Dimensions

Comparing Perimeter, Area, and Volume

Resource:
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.

All Resources From:
• Unit 5

#### Extending to Three Dimensions

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.

All Resources From:
• Unit 5

#### Extending to Three Dimensions

Counting Cubes

Resource:
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.

All Resources From:
• Unit 5

#### Extending to Three Dimensions

Cross-sections

Resource:
Cross-sections

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

All Resources From:
• Unit 5

#### Extending to Three Dimensions

End of Unit Assessment (Geometry, Unit 5)

Geometry
###### Unit 5: Extending to Three Dimensions
Resource:
End of Unit Assessment (Geometry, Unit 5)

After this unit, how prepared are your students for the end-of-course Regents examination?  The end of unit assessment is designed to surface how students understand the mathematics in the unit.  It includes spiralled multiple choice and constructed response questions, comparable to those on the end-of-course Regents examination.  A rich task, that allows for multiple entry points and authentic assessment of student learning, may be available for some units and can be included as part of the end of unit assessment.  All elements of the end of unit assessment are aligned to the NYS Mathematics Learning Standards and PARCC Model Frameworks prioritization.

All Resources From:
• Unit 5