Learning Targets | Loading...

Sign in to access protected content and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

Professional Learning

Illustrative Mathematics® has operated as an independent 501(c)3 non-profit organization since 2013.

©2024 Illustrative Mathematics®. Licensed under CC BY-NC 4.0.

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written permission of Illustrative Mathematics.

This site includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Navigation

9-12 Integrated Math 3 Unit 1

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

Integrated Math 1 Integrated Math 2 •Integrated Math 3

Unit

•Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7

Modeling Prompts

K-5
6-8
9-12

Integrated Math 1
Integrated Math 2
Integrated Math 3

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7

Modeling Prompts

Settings

Audience

family

Not all roles available for this page.

Assessment Access

Sign in to view assessments and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

teacher
student
family

Unit 1

Student Learning Targets

$Course Icon$

Integrated Math 3

Section ACross-Sections, Scaling, and Area

1

Solids

I can describe and compare three-dimensional solids.

2

Solids of Rotation

I can draw the two-dimensional shape that creates a particular three-dimensional solid when rotated using a given axis.
I can identify the three-dimensional solid created by rotating a two-dimensional figure, using a linear axis.

3

Slicing Solids

I can identify the three-dimensional shape that generates a set of cross-sections.
I can visualize and draw multiple cross-sections of a three-dimensional figure.

4

Creating Cross-Sections by Dilating

I know that a pyramid’s cross-sections are dilations of its base, with scale factors ranging from 0 to 1.

Section BScaling Solids

Section CPrism and Cylinder Volumes

Section DUnderstanding Pyramid Volumes

Section ELet’s Put It to Work

5

Scaling and Area

I know that when figures are dilated by a scale factor of , their areas are multiplied by .

6

Scaling and Unscaling

I can use square root graphs and do calculations to interpret the relationships between scale factors and areas.

18

Surface Area and Volume

I can use surface area and volume relationships to solve problems.

19

Volume and Density

I can solve problems involving density and volume.
I know that the density of an object is the ratio between its mass and its volume.

20

Volume and Graphing

I can use cube root and square root graphs to solve geometric problems.

7

Scaling Solids

I know that when a solid is dilated by a scale factor of , its surface area is multiplied by and its volume is multiplied by .

8

The Root of the Problem

I can create and describe graphs that show relationships between volumes and scale factors.
I can work backward from a volume or surface area scaling to find a scale factor.

9

Speaking of Scaling

I can calculate scale factors for lengths, surface areas, and volumes if I’m given any one of the three factors.

14

Prisms and Pyramids

I can explain the relationships between pyramids, cones, prisms, and cylinders.

15

Building a Volume Formula for a Pyramid

I can explain why the volume formula for pyramids and cones is .

16

Working with Pyramids

I can calculate volumes of pyramids and cones.
I can work backward from a given volume to find possible dimensions of a pyramid or cone.

17

Putting All the Solids Together

I can use the Pythagorean Theorem and trigonometry to help calculate volumes of prisms, cylinders, cones, and pyramids, including solids of rotation.

10

Volume

I can calculate unknown dimensions of prisms, cylinders, cones, and spheres.
I can calculate volumes of prisms, cylinders, cones, and spheres and figures composed of prisms, cylinders, cones, and spheres.

11

Cylinder Volumes

I can calculate volumes of solids that are composed of cylinders.
I can explain how finding the volume of a prism relates to finding the volume of a cylinder.

12

Cross-Sections and Volume

I know that if two solids have equal-area cross-sections at all heights, they have the same volumes.

13

Prisms Practice

I can calculate volumes of right and oblique prisms and cylinders and figures composed of prisms and cylinders.