Unit 3 Measuring Circles

Lesson 1: 

How Well Can You Measure?

Addressing:

NC.7.RP.2a

Building Toward:

NC.7.G.4

NC.7.RP.3

Building On: 

NC.6.RP.3  

7th Grade Unpacking Document

6th Grade Unpacking Document

• I understand that it can be difficult to measure the quantities in a proportional relationship accurately.

• I can examine quotients and use a graph to decide whether two associated quantities are in a proportional relationship.

• YouTube Video

Identifying Proportional Relationships 

• Digital Manipulative

1.2 Perimeter of a Square

Video Lesson Summary:  G7U3V1 Measuring Relationships From Illustrative Mathematics

Lesson 2: 

Exploring Circles

Building Toward:

NC.7.G.4

7th Grade Unpacking Document

• I can identify the diameter, center, radius, and circumference of a circle.

• I can describe the characteristics that make a shape a circle.

• Digital Manipulative

2.4 Drawing Circles

• Khan Academy Video

     Labeling Parts of a Circle 

• Khan Academy Practice

Radius and Diameter

Video Lesson Summary:  G7U3V2 Circumference of a Circle From Illustrative Mathematics

Lesson 3: 

Exploring Circumference

Addressing:

NC.7.G.2a

NC.7.G.4

Building Toward:

NC.7.G.4

Building On:

NC.2.MD.1

NC.6.SP..5b

7th Grade Unpacking Document

6th Grade Unpacking Document

2nd Grade Unpacking Document

• I can describe the relationship between circumference and diameter of any circle.

• I can explain what π means.

• Digital Manipulative

3.2 Measuring Circumference and Diameter

3.2 Measuring Circumference and Diameter Coordinate Plane 

3.3 Calculating Circumference and Diameter

• Khan Academy Video

Radius, Diameter, Circumference, and Pi

• IXL Math

Circumference of Circles

Video Lesson Summary:  G7U3V2 Circumference of a Circle From Illustrative Mathematics

Lesson 4: 

Applying Circumference

Addressing:

NC.7.G.4

7th Grade Unpacking Document

• I can choose an approximation for π based on the situation or problem.

• If I know the radius, diameter, or circumference of a circle, I can find the other two.

• Digital Manipulative

4.2 Using pi

• YouTube Video

Applying Circumference

• Khan Academy Practice

Circumference of a Circle

Circumference of Parts of Circles

Video Lesson Summary:  G7U3V2 Circumference of a Circle From Illustrative Mathematics

Lesson 5: 

Circumference and Wheels

Addressing:

NC.7.G.4

NC.7.RP.2

NC.7.RP.3

7th Grade Unpacking Document

• If I know the radius or diameter of a wheel, I can find the distance the wheel travels in some number of revolutions.

• YouTube Video

Using Circumference to Determine Difference

• Khan Academy Practice

Circumference and Rotations

Video Lesson Summary:  G7U3V2 Circumference of a Circle From Illustrative Mathematics

Lesson 6: 

Estimating Areas

Addressing:

NC.7.G.1

 Building On:

 NC.5.OA .2

7th Grade Unpacking Document

5th Grade Unpacking Document

• I can calculate the area of a complicated shape by breaking it into shapes whose area I know how to calculate.

• Digital Manipulative

7.2 Estimating Area of Circles

• You Tube Video

Perimeter and Area of Irregular Shapes

• Khan Academy Videos

Finding Area by Rearranging Shapes

Area of Composite Shapes

• Khan Academy Practice

Area of Composite Shapes

Area Challenge

Lesson 7: 

Exploring the Area of a Circle

Addressing:

NC.7.G.4

NC.7.RP.2a

Building Toward:

NC.7.G.4

7th Grade Unpacking Document

• If I know a circle’s radius or diameter, I can find an approximation for its area.

• I know whether or not the relationship between the diameter and area of a circle is proportional and can explain how I know.

• Digital Manipulatives

7.2 Estimating Area of Circles 

• YouTube Video

How to Find the Area of a Circle

• Khan Academy Video

Area of a Circle

• Khan Academy Practice

Area of a Circle

• IXL Math

Area of Circles

Video Lesson Summary:  G7U3V3 Area of a Circle From Illustrative Mathematics

Lesson 8: 

Relating Area to Circumference

Addressing:

NC.7.G.4

7th Grade Unpacking Document

• I can explain how the area of a circle and its circumference are related to each other.

• I know the formula for area of a circle.

• Digital Manipulative

8.2 Making Polygon Out of a Circle

8.3 Making Another Polygon Out of a Circle

• Khan Academy Videos

Area of a Circle

• Khan Academy Practice

Area of a Circle

Video Lesson Summary:  G7U3V3 Area of a Circle From Illustrative Mathematics

Lesson 9: 

Applying Area of Circles

Addressing:

NC.7.G.4

7th Grade Unpacking Document

• I can write exact answers in terms of π.

• I can calculate the area of more complicated shapes that include fractions of circles.

• Khan Academy Videos

Radius and Diameter from Circumference 

Area of a Shaded Region

• Khan Academy Practice

Shaded Areas

Area of Parts of Circles

Area of Circles Review

Video Lesson Summary:  G7U3V3 Area of a Circle From Illustrative Mathematics

Lesson 10: 

Distinguishing Circumference and Area

Addressing:

NC.7.G.4

7th Grade Unpacking Document

• I can decide whether a situation about a circle has to do with area or circumference.

• I can use formulas for circumference and area of a circle to solve problems.

• YouTube Video

Choose between Circumference and Area of a Circle

• Khan Academy Practice

Area and Circumference of Circles Challenge

Video Lesson Summary:  G7U3V4 Distinguishing Circumference and Area From Illustrative Mathematics

Lesson 11: 

Stained-Glass Windows

Addressing:

NC.7.G.1

NC.7.G.4

7th Grade Unpacking Document

• I can apply my understanding of area and circumference of circles to solve more complicated problems.

• IXL Math

Semicircles: calculate area, perimeter, radius, and diameter

Quarter circles: calculate area, perimeter, and radius