• GSM Algebra I
  • UNIT 1 - Modeling Linear Functions
  • UNIT 2 - Analyzing Linear Inequalities
  • UNIT 3 - Investigating Rational &Irrational Numbers
  • UNIT 4 - Modeling & Analyzing Quadratic Functions
  • UNIT 5 - Modeling & Analyzing Exponential Expressions, Equations & Functions
  • UNIT 6 - Investigating Data
  • UNIT 7 - Algebraic Connections to Geometric Concepts
• GSM Geometry
  • UNIT 1 - Congruence,Angles, Constructions & Proof
  • UNIT 2 - Similarity
  • UNIT 3 - Geometric Foundations & Polynomials
  • UNIT 4 - Circles
  • UNIT 5 - Equations & Measurements
  • UNIT 6 - Right Triangle Trigonometry
  • UNIT 7 - Probability & Statistics
• GSM Algebra II
  • UNIT 1 - Descriptive and Inferential Statistics
  • UNIT 2 - Quadratics Revisited
  • UNIT 3 - Radical Functions
  • UNIT 4 - Exponential & Log Functions
  • UNIT 5 - Modeling Polynomial Functions
  • UNIT 6 - Linear Algebra & Matrices
  • UNIT 7 - Rational Functions
  • UNIT 8 - Trigonometry & the Unit Circle
• GSM PreCalc
  • UNIT 1 - Modeling with Rational & Piecewise Functions
  • UNIT 2 - Modeling with Trigonometric Expressions & Functions
  • UNIT 3 - Applying Trigonometric Identities & Equations
  • UNIT 4 - Conic Sectionis & Polar Equations
  • UNIT 5 - Modeling with Vector Quantities
  • UNIT 6 - Modeling with Sequences & Series
• Other Courses
  • Calculus I
    • UNIT 1 - Foundations
    • UNIT 2 - Differentiation
    • UNIT 3 - Applications of Derivatives
    • UNIT 4 -AntiDerivatives and Integration
    • UNIT 5 - Applications of Integration;
  • GSM - Adv. Math Decision Making
    • UNIT 1 - Mathematical Reasoning to Make Decisions
    • UNIT 2 - Probability
    • UNIT 3 - Statistical Studies
    • UNIT 4 - Mathematical Modeling
    • UNIT 5 - Vectors & Matrices
    • UNIT 6 - Networks & Graphs
  • Analytical Geometry
    • UNIT 1 - Similarity, Congruence, Proof
    • UNIT 2 - Right Triangle Trigonometry
    • UNIT 3 - Circles & Volumes
    • UNIT 4 - Extending the Number System
    • UNIT 5 - Quadratic Functions
    • UNIT 6 - Modeling Geometry
    • UNIT 7 - Applications of Probability
    • EOC Practice Test
  • CP-Statistics
    • All Units
  • Coordinate Algebra
    • EOC Practice Test
  • Integrated Algebra I
    • UNIT 1 - Function Families
    • UNIT 2 - Algebra Investigations
    • UNIT 3 - Geometry
    • UNIT 4 - The Chance of Winning
    • UNIT 5 - Algebraic Investigations
    • UNIT 6 - Coordinate Geometry
    • EOCT Prep
  • Integrated Geometry
    • UNIT 1 - Quadratic Function
    • UNIT 2 - Right Triangle Trigonometry
    • UNIT 3 - Circles and Spheres
    • UNIT 4 - Data Analysis & Probability
    • UNIT 5 - Piecewise, Inverse, Exponential
    • UNIT 6 - Find the Best Model
  • GPS Middle School Math
    • 6th Grade Math
    • 7th Grade Math
    • 8th Grade Math

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7
Georgia:			All of Unit 4
Unit 4-0:	Circles Reference Sheet (Doc, PDF)
Unit 4-1:	Language of Circles (Doc, PDF, Key) Georgia Standards (Click to Expand) MGSE9-12.G.C.2:Identify and describe relationships among inscribed angles, radii, chords, tangents, and secants. 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. Video Lessons: (p1a, p1b, p2) Sample Quiz: (Interactive, PDF)
Unit 4-2:	Inscribed Angles (Doc, PDF, Key) Georgia Standards (Click to Expand) MGSE9-12.G.C.2:Identify and describe relationships among inscribed angles, radii, chords, tangents, and secants. 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. MGSE9-12.G.C.3 :Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. MGSE9-12.G.C.4 :Construct a tangent line from a point outside a given circle to the circle. Video Lessons: (p1, p2, p3, p4) Sample Quiz: (Interactive, PDF)
Unit 4-3:	Angles of a Circle (Doc, PDF, Key) Georgia Standards (Click to Expand) MGSE9-12.G.C.2:Identify and describe relationships among inscribed angles, radii, chords, tangents, and secants. 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. Video Lessons: (p1, p2, p3, p4, p5) Music Video (by Russell Spicer) Sample Quiz: (Interactive, PDF)
Unit 4-4:	Circle Segments (Doc, PDF, Key) Georgia Standards (Click to Expand) MGSE9-12.G.C.2:Identify and describe relationships among inscribed angles, radii, chords, tangents, and secants. 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. Video Lessons: (p1, p2, p3, p4) Sample Quiz: (Interactive, PDF)
Unit 4-5:	Circumference, Perimeter, Arc Length (Doc, PDF, Key) Georgia Standards (Click to Expand) MGSE9-12.G.C.1:Understand that all circles are similar. MGSE9-12.G.C.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. MGSE9-12.G.GMD.1 : Give informal arguments for geometric formulas. (a) Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments. Video Short: (What is Pi?) Video Lessons: (p1, p2, p3, p4, p5, p6, p7) Sketchpad: Deteremining Circumference (gsp file) Sample Quiz: (Interactive, PDF)
Unit 4-6:	Areas and Sectors (Doc, PDF, Key) Georgia Standards (Click to Expand) MGSE9-12.G.C.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. MGSE9-12.G.GMD.1 : Give informal arguments for geometric formulas. (a) Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments Video Lessons: (p1, p2, p3, p4, p5) Area & Volume Formula Sheet (Doc, PDF) Sample Quiz: (Interactive, PDF)
Unit 4-7:	Coordinate Circles (Doc, PDF, Key) Georgia Standards (Click to Expand) MGSE9-12.G.GPE.1:Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation Video Lessons: (p1, p2, p3 ) Sample Quiz: (Interactive, PDF)
TEST:	Testing Item Banks for Exam View (278 available questions for Unit 4) Password Required ExamView Video Instructions (How To Make a Test) Author: Matt Winking
	Teacher Contact Log	Student Guide Sheet	All of Unit 4

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