Unit 1 Measuring Circles
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.RP.2a
Building Toward:
NC.7.G.4
NC.7.RP.3
Building On:
NC.6.RP.3
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.
I can identify the diameter, center, radius, and circumference of a circle.
I can describe the characteristics that make a shape a circle.
How Well Can You Measure
YouTube Video
Identifying Proportional Relationships
Digital Manipulative
Exploring Circles
Digital Manipulative
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Measuring Relationships From Illustrative Mathematics
Video Lesson Summary: Circumference of a Circle From Illustrative Mathematics
2
Addressing:
NC.7.G.4
NC.7.RP.2a
Building Toward:
NC.7.G.4
Building On:
NC.2.MD.1
NC.6.SP..5b
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
Khan Academy Video
Radius, Diameter, Circumference, Pi
IXL Math
Video Lesson Summary: Circumference of a Circle From Illustrative Mathematics
3
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
YouTube Video
Khan Academy Practice
Circumference of Parts of Circles
Video Lesson Summary: Circumference of a Circle From Illustrative Mathematics
4
Addressing:
NC.7.G.1
NC.7.G.4
NC.7.RP.2
NC.7.RP.3
Building Toward:
NC.7.G.4
Building On:
NC.5.OA.2
If I know the radius or diameter of a wheel, I can find the distance the wheel travels in some number of revolutions.
I can calculate the area of a complicated shape by breaking it into shapes whose area I know how to calculate.
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.
Circumference and Wheels
YouTube Video
Using Circumference to Determine Difference
Khan Academy Practice
Estimating Area
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
Khan Academy Practice
Exploring the Area of a Circle
YouTube Video
How to Find the Area of a Circle
Khan Academy Video
Khan Academy Practice
IXL Math
Video Lesson Summary: Circumference of a Circle From Illustrative Mathematics
Video Lesson Summary: Area of a Circle From Illustrative Mathematics
5
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.
I can write exact answers in terms of π.
I can calculate the area of more complicated shapes that include fractions of circles.
Relating Area to Circumference
Digital Manipulative
8.3 Making Another Polygon Out of a Circle
Khan Academy Videos
Khan Academy Practice
Applying Areas of Circles
Khan Academy Videos
Radius and Diameter from Circumference
Khan Academy Practice
Video Lesson Summary: Area of a Circle From Illustrative Mathematics
6
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.