HS Geometry
 

Circles
 
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Circles

Understand and apply theorems about circles.

HSG-C.A.1

Prove that all circles are similar.

  4 Lesson(s)

HSG-C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

  19 Lesson(s)

HSG-C.A.3

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

  5 Lesson(s)

HSG-C.A.4

Construct a tangent line from a point outside a given circle to the circle.

  2 Lesson(s)

Find arc lengths and areas of sectors of circles.

HSG-C.B.5

Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

  15 Lesson(s)
Common Core Math

Kindergarten

Counting & Cardinality
Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement and Data
Geometry

First Grade

Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement and Data
Geometry

Second Grade

Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement and Data
Geometry

Third Grade

Operations & Algebraic Thinking
Number & Operations in Base Ten
Numbers & Operations-Fractions
Measurement and Data
Geometry

Fourth Grade

Operations & Algebraic Thinking
Number & Operations in Base Ten
Number & Operations—Fractions
Measurement and Data
Geometry

Fifth Grade

Operations & Algebraic Thinking
Number & Operations in Base Ten
Number & Operations—Fractions
Measurement & Data
Geometry

Sixth Grade

Ratios & Proportional Relationships
The Number System
Expressions & Equations
Geometry
Statistics & Probability

Seventh Grade

Ratios & Proportional Relationships
The Number System
Expressions & Equations
Geometry
Statistics & Probability

Eighth Grade

The Number System
Expressions & Equations
Functions
Geometry
Statistics & Probability

HS Number & Quantity

The Real Number System
Quantities
The Complex Number System
Vector & Matrix Quantities

HS Algebra

Seeing Structure in Expressions
Arithmetic with Polynomials & Rational Expressions
Creating Equations*
Reasoning with Equations & Inequalities

HS Functions

Interpreting Functions
Building Functions
Linear, Quadratic, & Exponential Models*
Trigonometric Functions

HS Geometry

Congruence
Similarity, Right Triangles, & Trigonometry
Circles
Expressing Geometric Properties with Equations
Geometric Measurement & Dimension
Modeling with Geometry

HS Statistics & Probability

Interpreting Categorical & Quantitative Data
Making Inferences & Justifying Conclusions
Conditional Probability & the Rules of Probability
Using Probability to Make Decisions

Kindergarten

Reading: Literature
Reading: Informational Text
Reading: Foundational Skills
Writing
Speaking & Listening
Language

First Grade

Reading: Literature
Reading: Informational Text
Reading: Foundational Skills
Writing
Speaking & Listening
Language

Second Grade

Reading: Literature
Reading: Informational Text
Reading: Foundational Skills
Writing
Speaking & Listening
Language

Third Grade

Reading: Literature
Reading: Informational Text
Reading: Foundational Skills
Writing
Speaking & Listening
Language

Fourth Grade

Reading: Literature
Reading: Informational Text
Reading: Foundational Skills
Writing
Speaking & Listening
Language

Fifth Grade

Reading: Literature
Reading: Informational Text
Reading: Foundational Skills
Writing
Speaking & Listening
Language

Sixth Grade

Reading: Literature
Reading: Informational Text
Writing
Speaking & Listening
Language
Reading: History/Social Studies
Reading: Science & Technical Subjects
Writing: History/Social Studies, Science, & Technical Subjects

Seventh Grade

Reading: Literature
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Writing
Speaking & Listening
Language
Reading: History/Social Studies
Reading: Science & Technical Subjects
Writing: History/Social Studies, Science, & Technical Subjects

Eighth Grade

Reading: Literature
Reading: Informational Text
Writing
Speaking & Listening
Language
Reading: History/Social Studies
Reading: Science & Technical Subjects
Writing: History/Social Studies, Science, & Technical Subjects

Ninth and Tenth Grade

Reading: Literature
Reading: Informational Text
Writing
Speaking & Listening
Language
Reading: History/Social Studies
Reading: Science & Technical Subjects
Writing: History/Social Studies, Science, & Technical Subjects

Eleventh and Twelfth Grade

Reading: Literature
Reading: Informational Text
Writing
Speaking & Listening
Language
Reading: History/Social Studies
Reading: Science & Technical Subjects
Writing: History/Social Studies, Science, & Technical Subjects

Kindergarten

Physical Sciences
Life Sciences
Earth and Space Sciences
Engineering, Technology, and Applications of Science

First grade

Physical Sciences
Life Sciences
Earth and Space Sciences
Engineering, Technology, and Applications of Science

Second grade

Physical Sciences
Life Sciences
Earth and Space Sciences
Engineering, Technology, and Applications of Science

Third Grade

Physical Sciences
Life Sciences
Earth and Space Sciences
Engineering, Technology, and Applications of Science

Fourth grade

Physical Sciences
Life Sciences
Earth and Space Sciences
Engineering, Technology, and Applications of Science

Fifth grade

Physical Sciences
Life Sciences
Earth and Space Sciences
Engineering, Technology, and Applications of Science

Middle School

Physical Sciences
Life Sciences
Earth and Space Sciences
Engineering, Technology, and Applications of Science

High School

Physical Sciences
Life Sciences
Earth and Space Sciences
Engineering, Technology, and Applications of Science
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