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Math 6 Plus Unit 1: Area and Surface Area (6.1)
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Unit 1 Student Edition
English & Spanish		Unit 1 Lesson StandardsUnit Overview Video
Summary: English & Spanish		Cool Downs &
Cool Downs Key		Cool-Downs Guidance DocumentUnit 1 Assessments6th Grade Unpacking
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Math 6 Plus Pacing GuideScaffolds & Supports Elevation Station GamesUnit Vocabulary
English & Spanish		Additional Practice ProblemsMLR ResourcesHomework Resource for Families
English & Spanish
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Lesson TitleStandardLearning Goal Student TargetStudent ResourcesTeacher ResourcesDigital ResourcesAdditional Support
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Lesson 1:
Finding Area by Decomposing and Rearranging
(2.1, 2.2, 2.3)

(Tiling the Plane
1.1 & 1.2 optional)		Addressing
NC.6.G.1

Building Toward:
NC.6.G.1

Building On:
NC.3.MD.5		Calculate the area of a region by decomposing it and rearranging the pieces, and explain (orally and in writing) the solution method.

Recognize and explain (orally) that if two figures can be placed one on top one other so that they match up exactly, they must have the same area.

Show that area is additive by composing polygons with a given area.		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.		Student WkBk Lesson 1


Spanish Version		Blackline Master
Activity 2.2		Slide Deck:
Teacher Version
Resource Folder
Student Version		Digital Manipulative
2.2: Composing Shapes
2.3: Tangram Triangles

YouTube Video
Area of Complex Figures Video

Virtual Nerd
How do you find the area of a composite shape?

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Condensed Lesson PlanDesmos:
Lesson
Practice Problems
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 Practice Problems

Practice Problems Key		Geogebra:
Student Materials
Practice Problems
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Lesson 2:
Reasoning to Find Area
(3.1, 3.2, 3.3)		Addressing:
NC.6.G.1

Building On:
NC.3.MD.7		Compare and contrast (orally) different strategies for calculating the area of a polygon.

Find the area of a polygon by decomposing, rearranging, subtracting or enclosing shapes, and explain (orally and in writing) the solution method.

Include appropriate units (in spoken and written language) when stating the area of a polygon.		I can use different reasoning strategies to find the area of shapes.Student WkBK Lesson 2


Spanish Version		Blackline Master
Activity 3.1		Slide Deck:
Teacher Version
Resource Folder
Student Version		Khan Academy Video-
Finding Area by Rearranging Parts
Area of Complex Figures Video

Virtual Nerd
How do you find the area of a triangle?
How do you find the area of a parallelogram?
What is the formula for the area of a trapezoid?
How do you find the area of a trapezoid?

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Practice Problems
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Practice Problems

Practice Problems Key		Geogebra:
Student Materials
Practice Problems
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Lesson 3:
Parallelograms
(4.1, 4.2, 4.3)		Addressing:
NC.6.G.1

Building On:
NC.4.G.2 and
NC.5.G.3		Compare and contrast (orally) different strategies for determining the area of a parallelogram.

Describe (orally and in writing) observations about the opposites sides and opposite angles of parallelograms.

Explain (orally and in writing) how to find the area of a parallelogram by rearranging or enclosing it in a rectangle.		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.		Student WkBk Lesson 3


Spanish Version		Condensed Lesson PlanSlide Deck:
Teacher Version
Resource Folder
Student Version		Digital Manipulative
4.2: Area of a Parallelogram

Youtube Video
Area of Parallelogram Intro

Virtual Nerd
How do you find the area of a parallelogram?
What is the formula for the area of a parallelogram?

Math is Fun
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Desmos:
Lesson
Practice Problems
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Practice Problems

Practice Problems Key		Geogebra:
Student Materials
Practice Problems
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Lesson 4:
Bases and Heights of Parallelograms
(5.1, 5.2, 5.3)		Addressing:
NC.6.G.1
NC.6.EE.2		Comprehend the terms “base” and “height” to refer to one side of a parallelogram and the perpendicular distance between that side and the opposite side.

Generalize (orally) a process for finding the area of a parallelogram, using the length of a base and the corresponding height.

Identify a base and the corresponding height for a parallelogram, and understand that there are two different base-height pairs for any parallelogram.		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.		Student WkBk Lesson 4


Spanish Version		Condensed Lesson PlanSlide Deck:
Teacher Version
Resource Folder
Student Version		Digital Manipulatives
5.1: A Parallelogram and Its Rectangles

YouTube Video
Bases and Heights of Parallelograms

Virtual Nerd
How do you find the area of a parallelogram?
What is the formula for the area of a parallelogram?

Math is Fun
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Lesson
Practice Problems
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Practice Problems

Practice Problems Key		Geogebra:
Student Materials
Practice Problems
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Lesson 5:
Area of Parallelograms
(6.1, 6.2)		Addressing:
NC.6.G.1
NC.6.EE.2		Apply the formula for area of a parallelogram to find the area, the length of the base, or the height, and explain (orally and in writing) the solution method.

Choose which measurements to use for calculating the area of a parallelogram when more than one base or height measurement is given, and explain (orally and in writing) the choice.		I can use the area formula to find the area of any parallelogram.Student WkBk Lesson 5


Spanish Version		Condensed Lesson PlanSlide Deck:
Teacher Version
Resource Folder
Student Version		Digital Manipulatives
6.2: More Areas of Parallelograms

Khan Academy Video
Area of Parallelogram Intuition
Finding Height of a Parallelogram

Math is Fun
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Lesson
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Practice Problems Key		Geogebra:
Student Materials
Practice Problems
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Lesson 6:
From Parallelograms to Triangles
(7.1, 7.2, 7.3)		Addressing:
NC.6.G.1

Building Toward:
NC.6.G.1		Describe (orally and in writing) ways in which two identical triangles can be composed, i.e., into a parallelogram or into a rectangle.

Show how any parallelogram can be decomposed into two identical triangles by drawing a diagonal, and generalize (in writing) that this property applies to all parallelograms, but not all quadrilaterals.		I can explain the special relationship between a pair of identical triangles and a parallelogram.Student WkBK Lesson 6


Spanish Version		Blackline Master
Activity 7.3		Slide Deck:
Teacher Version
Resource Folder
Student Version		Digital Manipulatives
7.2: A Tale of Two Triangles (Part 1)
7.3: A Tale of Two Triangles (Part 2)

Khan Academy Video
Area of a Triangle


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Practice Problems Key		Geogebra:
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Lesson 7:
Area of Triangles
(8.1, 8.2)
and
Formula for the Area of Triangles (9.1)		Addressing:
NC.6.G.1
NC.6.EE.2

Building Toward:
NC.6.G.1



Draw a diagram to show that the area of a triangle is half the area of an associated parallelogram.

Explain (orally and in writing) strategies for using the base and height of an associated parallelogram to determine the area of a triangle.

Compare, contrast, and critique (orally) different strategies for determining the area of a triangle.

Generalize a process for finding the area of a triangle, and justify (orally and in writing) why this can be abstracted as 1/2*b*h.

Recognize that any side of a triangle can be considered its base, choose a side to use as the base when calculating the area of a triangle, and identify the corresponding height.		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.		Student WkBk Lesson 7


Spanish Version		Condensed Lesson PlanSlide Deck:
Teacher Version
Resource Folder
Student Version		Area of Triangles
Virtual Nerd
How do you find the area of a triangle?
 What is the formula for the area of a triangle?

 Math is Fun
Area of Triangles

Khan Academy Videos
Area of Triangles Intuition
 Example Finding Area of Triangle
 Triangle MIssing Side Example
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Desmos:
Lesson and Lesson

Practice Problems
and
Practice Problems
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Practice Problems


Practice Problems Key		Geogebra:
Student Materials
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Student Materials

Practice Problems
and
Practice Problems
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Lesson 8:
Formula for the Area of Triangles
(9.2, 9.3)
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Bases and Heights of Triangles
(10.1, 10.3)		Addressing:
NC.6.G.1
NC.6.EE.2

Building Toward:
NC.6.G.1		Compare, contrast, and critique (orally) different strategies for determining the area of a triangle.

Generalize a process for finding the area of a triangle, and justify (orally and in writing) why this can be abstracted as 1/2*b*h.

Recognize that any side of a triangle can be considered its base, choose a side to use as the base when calculating the area of a triangle, and identify the corresponding height.

Draw and label the height that corresponds to a given base of a triangle, making sure it is perpendicular to the base and the correct length.

Evaluate (orally) the usefulness of different base-height pairs for finding the area of a given triangle.		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.		Student WkBk Lesson 8


Spanish Version		Condensed Lesson PlanSlide Deck:
Teacher Version
Resource Folder
Student Version		Formula for the Area of Triangles
Khan Academy Videos -
Area of Triangles Intuition
Example Finding Area of Triangle
Triangle MIssing Side Example

Bases and Heights of Triangles
Digital Manipulatives
10.1: An Area of 12

 Khan Academy Video
Area of a Triangle

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Desmos:
Lesson and Lesson

Practice Problems
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Practice Problems
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Practice Problems


Practice Problems Key		Geogebra:
Student Materials
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Student Materials

Practice Problems
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Practice Problems
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Mid Unit Assessment
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Lesson 9:
Polygons
(11.1, 11.2, 11.3, 11.4)		Addressing:
NC.6.G.1

Building Toward:
NC.6.G.1

Building On:
NC.4.G.2, NC.5.G.3		Compare and contrast (orally) different strategies for finding the area of a polygon.

Describe (orally and in writing) the defining characteristics of polygons.

Find the area of a polygon, by decomposing it into rectangles and triangles, and present the solution method (using words and other representations).		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.		Student WkBk Lesson 9


Spanish Version		Blackline Master
Activity 11.4		Slide Deck:
Teacher Version
Resource Folder
Student Version		Khan Academy Video
Finding Area by Breaking Up Shapes

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Lesson
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 Practice Problems


Practice Problems Key		Geogebra:
Student Materials
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Lesson 10:
Polyhedra
(13.1, 13.2)		Addressing:
NC.6.G.4

Building Toward:
NC.6.G.4		Compare and contrast (orally and in writing) features of prisms and pyramids.

Comprehend and use the words “face”, “edge”, “vertex”, and “base” to describe polyhedra (in spoken and written language).

Understand that the word “net” refers to a two-dimensional figure that can be assembled into a polyhedron, and create a net for a given polyhedron.		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.		Student WkBk Lesson 10


Spanish Version		Blackline Masters
Activity 13.1
Activity 13.2		Slide Deck:
Teacher Version
Resource Folder
Student Version		Khan Academy Videos
Counting Faces and Edges
Recognizing Common 3-D Shapes
Nets of Polyhedra

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Practice Problems Key		Geogebra:
Student Materials
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Lesson 11:
Nets and Surface Area
(14.1, 14.2)		Addressing:
NC.6.G.4

Building Toward:
NC.6.G.4		Match polyhedra with their nets and justify (orally) that they match.

Use a net with gridlines to calculate the surface area of a prism or pyramid and explain (in writing) the solution method.

Visualize and identify the polyhedron that can be assembled from a given net.		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.		Student WkBk Lesson 11


Spanish Version		Blackline Masters
Activity 14.1
Activity 14.2		Slide Deck:
Teacher Version
Student Version		Khan Academy Video
Finding Surface Area Using Nets

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Practice Problems Key		Geogebra:
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Lesson 12:
More Nets More Surface Area
(15.1, 15.2, 15.3)		Addressing:
NC.6.G.4		Draw and assemble a net for the prism or pyramid shown in a given drawing.

Interpret (using words and other representations) two-dimensional representations of prisms and pyramids.

Use a net without gridlines to calculate the surface area of a prism or pyramid and explain (in writing) the solution method.		I can draw the nets of prisms and pyramids.

I can calculate the surface area of prisms and pyramids.		Student WkBk Lesson 12


Spanish Version		Blackline Master
Activity 15.2		Slide Deck:
Teacher Version
Resource Folder
Student Version		Khan Academy Video
Surface Area of Box Using Nets

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Lesson
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Practice Problems Key		Geogebra:
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Practice Problems