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9-12 Geometry Unit 7

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

Algebra 1 •Geometry Algebra 2 Extra Support Materials for Algebra 1

Unit

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 •Unit 7 Unit 8

Modeling Prompts

K-5
6-8
9-12

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
Integrated Math 2
Integrated Math 3

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

Modeling Prompts

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Unit 7

Student Learning Targets

Geometry

Section ALines, Angles, and Circles

1

Lines, Angles, and Curves

I know what chords, arcs, and central angles are.

2

Inscribed Angles

I can use the relationship between central and inscribed angles to calculate angle measures and prove geometric theorems.
I know that an inscribed angle is half the measure of the central angle that defines the same arc.

3

Tangent Lines

I can use the relationship between tangent lines and radii to calculate angle measures and prove geometric theorems.
I know that a line tangent to a circle is perpendicular to the radius drawn to the point of tangency.

Section BPolygons and Circles

Section CMeasuring Circles

Section DLet’s Put It to Work

4

Quadrilaterals in Circles

I can prove a theorem about opposite angles in quadrilaterals inscribed in circles.

5

Triangles in Circles

I can construct the circumscribed circle of a triangle.
I can explain why the perpendicular bisectors of a triangle’s sides meet at a single point.

6

A Special Point

I can explain why the angle bisectors of a triangle meet at a single point.
I know any point on an angle bisector is equidistant from the rays that form the angle.

7

Circles in Triangles

I can construct the inscribed circle of a triangle.

8

Arcs and Sectors

I can calculate lengths of arcs and areas of sectors in circles.

9

Part to Whole

I can gather information about a sector to draw conclusions about the entire circle.

10

Angles, Arcs, and Radii

I know that when a circle is dilated, some ratios, like the ratio of the circumference to the diameter, stay constant.

11

A New Way to Measure Angles

I know that the radian measure of an angle whose vertex is the center of a circle is the ratio of the length of the arc defined by the angle to the circle’s radius.

12

Radian Sense

I understand the relative sizes of angles measured in radians.

13

Using Radians

I can calculate the area of a sector whose central angle measure is given in radians.
I know that the radian measure of an angle can be thought of as the slope of the line .

14

Putting It All Together

I can use properties of circles to solve geometric problems.