• 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 5
Unit 5-1:	Surface Area (Doc, PDF, Key) Georgia Standards (Click to Expand) 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, p3a, p3b, p4, p5) Area & Volume Formula Sheet (Doc, PDF) Sample Quiz: (Interactive, PDF)
Unit 5-2:	Volume of Prisms and Cylinders (Doc, PDF, Key) Georgia Standards (Click to Expand) 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. (b) Give informal arguments for the formula of the volume of a cylinder, pyramid, and cone using Cavalieri’s principle. MGSE9-12.G.GMD.2: Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures. MGSE9-12.G.GMD.3:Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. Video Lessons: (p1, p2, p3, p4) Sketchpad: Volume Layers Demonstration (gsp file) Area & Volume Formula Sheet (Doc, PDF) Sample Quiz: (Interactive, PDF)
Unit 5-3:	Volume of Pyramids and Cones (Doc, PDF, Key) Georgia Standards (Click to Expand) 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. (b) Give informal arguments for the formula of the volume of a cylinder, pyramid, and cone using Cavalieri’s principle. MGSE9-12.G.GMD.2: Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures. MGSE9-12.G.GMD.3:Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. Video Lessons: (p1, p2, p3, p4) Sketchpad: Cavalieri Principle, Sphere Volume Proof Area & Volume Formula Sheet (Doc, PDF) Sample Quiz: (Interactive, PDF)
Unit 5-4:	Geometric Modeling (Doc, PDF, Key) Georgia Standards (Click to Expand) MGSE9-12.G.MG.1:Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). MGSE9-12.G.MG.2 :Apply concepts of density based on area and volume in modeling situations(e.g., persons per square mile, BTUs per cubic foot). MGSE9-12.G.MG.3:Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). Video Lessons: (p1, p2, p3, p4, p5) Sample Quiz: (Interactive, PDF)
TEST:	Testing Item Banks for Exam View (102 available questions for Unit 5) Password Required ExamView Video Instructions (How To Make a Test) Author: Matt Winking
	Teacher Contact Log	Student Guide Sheet	All of Unit 5

GO TO UNIT 6