Unit 1 Area & Surface Area
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.6.G.1
Building Toward:
NC.6.G.1
Building On:
NC.3.MD.5
I can explain how to find the area of a figure that is composed of other shapes.
I know how to find the area of a figure by decomposing it and rearranging the parts.
I know what it means for two figures to have the same area.
2
I can use different reasoning strategies to find the area of shapes.
Khan Academy Video
YouTube Videos
Video Lesson Summary: Reasoning to Find Area From Illustrative Mathematics
3
Addressing:
NC.6.G.1
Building On:
NC.4.G.2
NC.5.G.3
I can use reasoning strategies and what I know about the area of a rectangle to find the area of a parallelogram.
I know how to describe the features of a parallelogram using mathematical vocabulary.
4
I know what the terms "base" and "height" refer to in a parallelogram.
I can write and explain the formula for the area of a parallelogram.
I can identify pairs of base and height of a parallelogram.
Digital Manipulatives
5.1: A Parallelogram and Its Rectangles
YouTube Video
Bases and Heights of Parallelograms
Video Lesson Summary: Parallelograms From Illustrative Mathematics
5
I can use the area formula to find the area of any parallelogram.
Digital Manipulatives
6.2: More Areas of Parallelograms
Khan Academy Video
Finding Height of a Parallelogram
Khan Academy Practice
Find Missing Length When Given Area of a Parallelogram
Video Lesson Summary: Parallelograms From Illustrative Mathematics
6
I can explain the special relationship between a pair of identical triangles and a parallelogram.
Digital Manipulatives
7.2: A Tale of Two Triangles (Part 1)
7.3: A Tale of Two Triangles (Part 2)
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Triangles From Illustrative Mathematics
7
I can use what I know about parallelograms to reason about the area of triangles.
I can use the area formula to find the area of any triangle.
I can write and explain the formula for the area of a triangle.
I know what the terms “base” and “height” refer to in a triangle.
8
I can use the area formula to find the area of any triangle.
I can write and explain the formula for the area of a triangle.
I know what the terms “base” and “height” refer to in a triangle.
I can identify pairs of base and corresponding height of any triangle.
When given information about a base of a triangle, I can identify and draw a corresponding height.
Formula for the Area of Triangles
Khan Academy Practice
Find Base and Height on a Triangle
Find Missing Length When Given Area of a Triangle
Bases and Heights of Triangles
Digital Manipulatives
Khan Academy Video
Khan Academy Practice
Find Base and Height on a Triangle
Video Lesson Summary: Triangles From Illustrative Mathematics
9
Addressing:
NC.6.G.1
Building Toward:
NC.6.G.1
Building On:
NC.4.G.2
NC.5.G.3
I can reason about the area of any polygon by decomposing and rearranging it, and by using what I know about rectangles and triangles.
I can describe the characteristics of a polygon using mathematical vocabulary.
10
I can describe the features of a polyhedron using mathematical vocabulary.
I can explain the difference between prisms and pyramids.
I understand the relationship between a polyhedron and its net.
11
I can match polyhedra to their nets and explain how I know.
When given a net of a prism or a pyramid, I can calculate its surface area.
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Surface Area From Illustrative Mathematics
12
I can draw the nets of prisms and pyramids.
I can calculate the surface area of prisms and pyramids.
Khan Academy Video
Surface Area of Box Using Nets
Khan Academy Practice
Expressions to find Surface Area
Video Lesson Summary: Surface Area From Illustrative Mathematics
13
Addressing:
NC.6.G.4
Building on:
NC.3.MD.5
NC.4.MD.1
NC.5.MD.4
NC.5.MD.5
I know how one-, two-, and three-dimensional measurements and units are different.
I can explain how it is possible for two polyhedra to have the same surface area but different volumes, or to have different surface areas but the same volume.
Digital Manipulatives
Khan Academy Practice
Video Lesson Summary: Distinguishing between Surface Area and Volume From Illustrative Mathematics
14
Addressing:
NC.6.EE.1
NC.6.EE.2
NC.6.G.4
Building Toward:
NC.6.EE.1
Building on:
NC.4.MD.3
NC.5.MD.5
I can write and explain the formula for the volume of a cube, including the meaning of the exponent.
When I know the edge length of a cube, I can find the volume and express it using appropriate units.
I can write and explain the formula for the surface area of a cube.
When I know the edge length of a cube, I can find its surface area and express it using appropriate units.
Squares and Cubes
Digital Manipulatives
YouTube Video
Volume of cubes and rectangular prisms
Surface Area of a Cube
Khan Academy Video
Evaluating an Algebraic Expression in Word Problem
IXL Math
Surface Area of Cubes and Rectangular Prisms
Video Lesson Summary: Distinguishing between Surface Area and Volume From Illustrative Mathematics