Unit 3
Angles, Triangles, Prisms
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
1
Addressing:
NC.7.G.5
Building Toward:
NC.7.G.5
Building On:
NC.4.MD.6
I can find unknown angle measures by reasoning about adjacent angles with known measures.
I can recognize when an angle measures 90, 180, or 360 degrees.
I can recognize when adjacent angles are complementary or supplementary.
I can find unknown angle measures by reasoning about complementary or supplementary angles.
Relationships of Angles
Digital Manipulative
Khan Academy Video
YouTube Video
Khan Academy Practice
Adjacent Angles
Khan Academy Video
Complementary and Supplementary Angles
YouTube Video
Khan Academy Practice
Complementary and Supplementary Angles
Complementary and Supplementary Angles (Visual)
Video Lesson Summary: Angle Relationships From Illustrative Mathematics
2
I can determine if angles that are not adjacent are complementary or supplementary.
I can explain what vertical angles are in my own words.
I can reason through multiple steps to find unknown angle measures.
I can recognize when an equation represents a relationship between angle measures.
Nonadjacent Angles
Khan Academy Video
Introduction To Vertical Angles
Khan Academy Practice
Identifying Supplementary, Complementary and Vertical Angles
Finding Angle Measures Between Intersecting Lines
Solving for Unknown Angles
YouTube Video
Finding Missing Angles Vertical and Supplementary Angles
Khan Academy Videos
Find Measure of Complementary Angles
Find Measure of Supplementary Angles
Khan Academy Practice
Create Equations to Solve for Missing Problems
Video Lesson Summary: Angle Relationships From Illustrative Mathematics
3
I can write an equation to represent a relationship between angle measures and solve the equation to find unknown angle measures.
I can show that the 4 side lengths that form a quadrilateral can be rearranged to form different quadrilaterals.
I can show that the 3 side lengths that form a triangle cannot be rearranged to form a different triangle.
Using Equations to Solve for Unknown Angles
Khan Academy Videos
Khan Academy Practice
Create Equations to Solve for Missing Problems
Building Polygons (Part 1)
YouTube Video
Khan Academy Videos
Construct Triangles with Constraints
Khan Academy Practice
Video Lesson Summary: Angle Relationships From Illustrative Mathematics
Video Lesson Summary: Drawing Polygons with Given Conditions From Illustrative Mathematics
4
I can show whether or not 3 side lengths will make a triangle.
I can reason about a figure with an unknown angle.
Khan Academy Videos
Construct Triangle with Constraints
Khan Academy Practice
Digital Manipulative
7.2 How Long is the Third Side?
Video Lesson Summary: Drawing Polygons with Given Conditions From Illustrative Mathematics
5
I understand that changing which sides and angles are next to each other can make different triangles.
Given two angle measures and one side length, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.
Triangles with 3 Common Measures
Digital Manipulative
9.2 Does Your Triangle Match Theirs?
Khan Academy Videos
Construct a Triangle with Constraints
YouTube Video
Khan Academy Practice
Drawing Triangles (Part 1)
Khan Academy Video
Construct Right Isosceles Triangle
YouTube Video
Khan Academy Practice
Video Lesson Summary: Drawing Polygons with Given Conditions From Illustrative Mathematics
6
Given two side lengths and one angle measure, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.
Khan Academy Video
Construct Right Isosceles Triangle
Digital Manipulative
10.2 Revisiting How Many Can You Draw?
Khan Academy Practice
Video Lesson Summary: Drawing Polygons with Given Conditions From Illustrative Mathematics
7
I can explain why the volume of a prism can be found by multiplying the area of the base and the height of the prism.
8
I can calculate the volume of a prism with a complicated base by decomposing the base into quadrilaterals or triangles.
Khan Academy Video
Volume through Decomposition(5th)
YouTube Video
Volume of Composite Rectangular Prisms
Khan Academy Practice
Decompose Figures with Unit Cubes (5th)
Understanding Decomposing Figures to Find Volume (5th)
Decompose Figures to Find Volume (5th)
Video Lesson Summary: Volume of Right Prisms and Pyramids From Illustrative Mathematics
9
Addressing:
NC.7.G.6
Building Toward:
NC.7.G.6
Building On:
NC.3.MD.5
NC.3.MD.8
NC.6.G.4
I can picture the net of a prism to help me calculate its surface area.
I can find and use shortcuts when calculating the surface area of a prism.
10
I can decide whether I need to find the surface area or volume when solving a problem about a real-world situation.
11
I can solve problems involving the volume and surface area of children’s play structures.