GED Mathematics Book 2

Auston B Cron, Feb 23, 2016

[color=#c51414][b]G[/b]eneral [b]E[/b]ducational [b]D[/b]evelopment[/color] (GED) tests are a group of four subject tests which, when passed, certify that the test taker has American or Canadian high school-level academic skills. Here are some topics which can assist students in learning the mathematics covered on the GED/HiSET/TASC/GCSE [color=#c51414][b]G[/b]eneral [b]C[/b]ertificate of [b]S[/b]econdary [b]E[/b]ducation[/color]. Book 1 is a compilation of basic skills needed for success, but not tested. [b]Mostly PreGED Skills[/b] Book 2 has many activities which are tested. [b]Many GED Level Skills[/b] [b]GED Mathematics Book1[/b] [url]https://www.geogebra.org/m/j4UyPdKW[/url] [b]GED Mathematics Book 2[/b] [url]https://www.geogebra.org/m/mEs37yMj[/url] [b]GED Science[/b] [url]https://www.geogebra.org/m/kH5xMUpw[/url] [b]GED Slope[/b] [url]https://www.geogebra.org/m/cvAySD7E[/url] Thanks, Tim B. [b]Geometry Introduction[/b] [url]https://www.geogebra.org/m/dsGHMH8u[/url] [b]Nets of Solids[/b] (Surface Area and Volume Animations) [url]https://www.geogebra.org/m/gU22RUUA#material/J3Bmsxp3[/url] See Platonic Solids [url]http://www.gogeometry.com/solid/platonic-solids-html5-animation-ipad-nexus-7.htm[/url] [b]Properties of Quadrilaterals[/b][url]https://www.geogebra.org/m/pw2mehfr[/url] [b]Basic Arithmetic Facts for GED[/b] [url]https://www.geogebra.org/m/x4qx9bz5[/url] [b]Prime Numbers Game[/b] [url]https://mathsbot.com/puzzles/findThePrimes[/url] [b]GeoGebra Math Activities[/b] [url]https://www.geogebra.org/math[/url] [b]GeoGebra Math Practice[/b] [url]https://www.geogebra.org/mathpractice/en[/url] [b]Graspable Math[/b] [url]https://activities.graspablemath.com/[/url] [b]Daniel Mentrard[/b] [url]https://www.geogebra.org/u/daniel+mentrard[/url]

Table of Contents

  1. Data Analysis/Probability
    1. Mean, Median, Mode, and Range
    2. Calculating Probability Using a Pinball Simulation
    3. Determining the Best Measure of Central Tendency
    4. Spinner
    5. Experimental Probability Spinner
    6. Probability Calculator
    7. Determining the Sample Space of an Event by Building Furry Friends
    8. Probability: Selecting Balls
    9. Probability with M&Ms
    10. Probability Female vs Male Birth
    11. Unequal Probability
    12. 05.1 Measures of Central Tendency
    13. AQR Section 17: Mean but Sensitive
    14. Comparing Mean, Median, and Mode
    15. One-Son Policy Simulation
    16. Resistance of Mean and Median
    17. Dice Rolling Simulation
    18. Possible Probability Outcomes With and Without Replacement
    19. Data distributions(and laws of probability)
  2. Algebra Basics
    1. Basic Terms in Algebra
    2. Rules of Exponents
    3. Integer Base/Exponents
    4. How to do Radical Roots
    5. Polynomial Definitions
    6. Expanding Brackets Spiders 2
    7. Expanding Brackets Spiders 5
    8. Standard Form of Cubic
    9. Equation of degree of resolution 2 by various methods
    10. Gridable Graphing Integer Spacint
    11. General Linear Equation
    12. Simplify Fraction Polynomials Arithmetic
    13. Polynomial Fractions Simplified
    14. Verbal to Algebraic: Translating
    15. Introduction to the Correlation Coefficient
    16. Introduction to the Correlation Coefficient
  3. Equations & Inequalities
    1. Graphing Inequalities from Mathematical Notation
    2. Writing Word Problems for One-Step Inequalities
    3. Translating and Solving Real World Inequalities
    4. Solving One-Step Equations with a Tape Diagram
    5. Solving Equations and Inequalities Using Substitution
    6. Writing Algebraic Equations
    7. Visualizing Algebraic Equations Using a Balance Beam
  4. Intro to Linear Equation
    1. Coordinate System Basic Parts (Interactive)
    2. Finding the Right Quadrant and Scale
    3. Writing coordinates
    4. Co-ordinate Quiz
    5. EXERCISE: Reading the coordinates
    6. Linear Formulae Summary
    7. Interactive Slope Demo
    8. Slope-Intercept Methods
    9. Using the Point-Slope to find Slope-Intercept Form
    10. Creating a Line with the Given Slope
    11. Linear Function--Standard Form
    12. Associate the correct line
    13. Graphing a Given Linear Equation (Self Practice)
    14. Linear Equation Guesser
    15. Draw the Slope
    16. Visual slope and Y-intercept for line equation
    17. Basics Linear Function Facts
    18. Distance in the Coordinate Plane (With Hints)
    19. Facts and Fluency: Solving Linear Equation
    20. Rate of Change from a Graph of a Line
    21. Tables, Graphs, and Linear Equations
    22. Sprinkler System Line of Best Fit
    23. Finding Actual Distances Using an Interactive Map
    24. Finding Vertical and Horizontal Distances Between Points
    25. Targeting the Solution of Systems of Linear Equations
    26. Graphing Inequalities in Two Variables
    27. Finding Solutions to an Inequality
  5. Solving Eqns: GeoGebra Resources Lesson
    1. Solving One-Variable Equations: Hot and Cold Activity
    2. Solving Two-Step Equations
    3. Targeting the Solution of Systems of Linear Equations
    4. Solving Systems of Linear Equations Graphically
  6. Intro to Quadratic Equations
    1. Standard Form of Parabolas
    2. Using the Quadratic Formula
    3. Check Factorable Trinomials (Some)
    4. Vertical Line Test
    5. How to recognize a function?
    6. Binomial Product Demonstration (Box Method)
    7. Multiplication Box Method (Modified)
    8. Multiplying Binomials with Area Models
    9. Multiplying Binomials with Area Models
  7. Geometry
    1. Basic Terms in Geometry
    2. Where do the formulas for areas of usual shapes come from?
    3. Coordinate System Basic Parts (Interactive)
    4. Measuring Angles Using a Protractor
    5. Full Circle Protractors
    6. Complementary and Supplementary Angle Demo
    7. Intersecting Line Properties
    8. Parallel Line Theorems
    9. Triangle: Sum of Interior Angles
    10. Finding sums of angles
    11. Identifying Parallel Lines Cut by a Transversal
    12. Parallel & Perpendicular Linear Equations
    13. Triangle Properties
    14. ANGLES AND TRIANGLES
    15. What class of Triangles use Pythagorean Theorem?
    16. Triangle Inequality
    17. Triangle Inequality
    18. Triangle Centers
    19. Triangle: Sum of Remote Interior Angles & Exterior Angle
    20. Triangle: Proportionality
    21. Quadrilateral Tools
    22. Diagonal Hint for a Rectangular Prism
    23. Pythagorean Theorem (Converse)
    24. Polygon Proofs of Pythagoras
    25. All Poly Proof of Pythagoras
    26. Pythagorean Proof SemiCircle
    27. Three-Dimensional Pythagorean Theorem
    28. Classify Triangles by Angle
    29. TRUE MEANING of π
    30. Supplementary Angles (Quick Exploration)
    31. Complementary Meaning?
    32. PolygonTypes
    33. Quadrilaterals--A taxonomy
    34. Area of Regular Polygon
    35. Regular Polygons (with Limits)
    36. Calculating the Surface Area of Prisms Using Nets
    37. Surface area of a sphere
    38. Finding the Treasure on the Coordinate Plane
    39. Pascal's triangle and Fibonacci sequence
  8. 3D Solids Geometry
    1. Unfolding Shapes in 3D
    2. Surface Area & Volume: Right Prism
    3. SA and Volume: Triangular Prism
    4. Surface Area & Volume Pyramid
    5. Surface Area & Volume of a Cylinder
    6. Sector Area of a Cone's Lateral Area
    7. Surface Area & Volume: Sphere
    8. Mixed Area & Mixed Volume (Retangular)
    9. Nets of solids (3-D shapes)
    10. Connecting Volumes of Pyramids and Prisms Using Visual Models
    11. Area of a sphere viewed by the cylinder
  9. Translations
    1. 1: Exploring Reflections (y-axis)
    2. 2: Exploring Rotations (Origin)
    3. 3: Exploring Translations
    4. 4: Exploring Glide-Reflections
    5. 5: Exploring Two Reflections with Parallel Lines
    6. 6: Exploring Three Reflections with Parallel Lines
    7. 7: Exploring Reflections with Intersecting Lines
    8. 8: Exploring Reflections with Concurrent Lines
    9. Reflecting Points to Reflect Figures
  10. Problem Solving Stategies
    1. Problem Solving TACTICS
    2. Problem Solving Questions
    3. Kibbutz
    4. Venn Diagrams Calculator Final copy 4
    5. Polygon Limit Exploration (Archimedes Method)
  11. Advanced Algebra (Not HSE)
    1. General Quadratic Equation
    2. Quadratic Lesson Creator Part 1
    3. Quadratic Lesson Creator Part 2
    4. Quadratic Lesson Creator Part 3
    5. Vertex Form of Parabolas
    6. Vertex Form of Cubic
    7. Solving Absolute Value Inequalities Visually, Greater Than
    8. Solving Absolute Value Inequalities Visually, Less Than
    9. Transformations: Basic Family of Functions
  12. Geometry: GG Resources
    1. Finding Composite Volume Word Problems
    2. Surface Area: Introductory Exercises
    3. Volumes of Cylinders
    4. Connecting Volumes of Cones and Cylinders Using Visual Models

1.

Data Analysis/Probability

The fields of [b]Data Analysis[/b] and [b]Probability[/b] are becoming very important in modern life in the 21st Century. For more in depth see Probability and Statistics QuickStart [url]https://www.geogebra.org/m/B29A4c9E[/url].

  • 1. Mean, Median, Mode, and Range
  • 2. Calculating Probability Using a Pinball Simulation
  • 3. Determining the Best Measure of Central Tendency
  • 4. Spinner
  • 5. Experimental Probability Spinner
  • 6. Probability Calculator
  • 7. Determining the Sample Space of an Event by Building Furry Friends
  • 8. Probability: Selecting Balls
  • 9. Probability with M&Ms
  • 10. Probability Female vs Male Birth
  • 11. Unequal Probability
  • 12. 05.1 Measures of Central Tendency
  • 13. AQR Section 17: Mean but Sensitive
  • 14. Comparing Mean, Median, and Mode
  • 15. One-Son Policy Simulation
  • 16. Resistance of Mean and Median
  • 17. Dice Rolling Simulation
  • 18. Possible Probability Outcomes With and Without Replacement
  • 19. Data distributions(and laws of probability)

1.1.

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1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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1.14.

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1.15.

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1.16.

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1.17.

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1.18.

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1.19.

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2.

Algebra Basics

[b]Linear Function Lessons[/b] [url]https://www.geogebra.org/m/FMVbf7qW[/url]

  • 1. Basic Terms in Algebra
  • 2. Rules of Exponents
  • 3. Integer Base/Exponents
  • 4. How to do Radical Roots
  • 5. Polynomial Definitions
  • 6. Expanding Brackets Spiders 2
  • 7. Expanding Brackets Spiders 5
  • 8. Standard Form of Cubic
  • 9. Equation of degree of resolution 2 by various methods
  • 10. Gridable Graphing Integer Spacint
  • 11. General Linear Equation
  • 12. Simplify Fraction Polynomials Arithmetic
  • 13. Polynomial Fractions Simplified
  • 14. Verbal to Algebraic: Translating
  • 15. Introduction to the Correlation Coefficient
  • 16. Introduction to the Correlation Coefficient

2.1.

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2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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2.15.

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2.16.

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3.

Equations & Inequalities

  • 1. Graphing Inequalities from Mathematical Notation
  • 2. Writing Word Problems for One-Step Inequalities
  • 3. Translating and Solving Real World Inequalities
  • 4. Solving One-Step Equations with a Tape Diagram
  • 5. Solving Equations and Inequalities Using Substitution
  • 6. Writing Algebraic Equations
  • 7. Visualizing Algebraic Equations Using a Balance Beam

3.1.

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3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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4.

Intro to Linear Equation

  • 1. Coordinate System Basic Parts (Interactive)
  • 2. Finding the Right Quadrant and Scale
  • 3. Writing coordinates
  • 4. Co-ordinate Quiz
  • 5. EXERCISE: Reading the coordinates
  • 6. Linear Formulae Summary
  • 7. Interactive Slope Demo
  • 8. Slope-Intercept Methods
  • 9. Using the Point-Slope to find Slope-Intercept Form
  • 10. Creating a Line with the Given Slope
  • 11. Linear Function--Standard Form
  • 12. Associate the correct line
  • 13. Graphing a Given Linear Equation (Self Practice)
  • 14. Linear Equation Guesser
  • 15. Draw the Slope
  • 16. Visual slope and Y-intercept for line equation
  • 17. Basics Linear Function Facts
  • 18. Distance in the Coordinate Plane (With Hints)
  • 19. Facts and Fluency: Solving Linear Equation
  • 20. Rate of Change from a Graph of a Line
  • 21. Tables, Graphs, and Linear Equations
  • 22. Sprinkler System Line of Best Fit
  • 23. Finding Actual Distances Using an Interactive Map
  • 24. Finding Vertical and Horizontal Distances Between Points
  • 25. Targeting the Solution of Systems of Linear Equations
  • 26. Graphing Inequalities in Two Variables
  • 27. Finding Solutions to an Inequality

4.1.

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4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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4.10.

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4.11.

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4.12.

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4.13.

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4.14.

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4.15.

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4.16.

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4.17.

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4.18.

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4.19.

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4.20.

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4.21.

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4.22.

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4.23.

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4.24.

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4.25.

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4.26.

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4.27.

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5.

Solving Eqns: GeoGebra Resources Lesson

  • 1. Solving One-Variable Equations: Hot and Cold Activity
  • 2. Solving Two-Step Equations
  • 3. Targeting the Solution of Systems of Linear Equations
  • 4. Solving Systems of Linear Equations Graphically

5.1.

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5.2.

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5.3.

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5.4.

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6.

Intro to Quadratic Equations

  • 1. Standard Form of Parabolas
  • 2. Using the Quadratic Formula
  • 3. Check Factorable Trinomials (Some)
  • 4. Vertical Line Test
  • 5. How to recognize a function?
  • 6. Binomial Product Demonstration (Box Method)
  • 7. Multiplication Box Method (Modified)
  • 8. Multiplying Binomials with Area Models
  • 9. Multiplying Binomials with Area Models

6.1.

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6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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6.8.

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6.9.

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7.

Geometry

  • 1. Basic Terms in Geometry
  • 2. Where do the formulas for areas of usual shapes come from?
  • 3. Coordinate System Basic Parts (Interactive)
  • 4. Measuring Angles Using a Protractor
  • 5. Full Circle Protractors
  • 6. Complementary and Supplementary Angle Demo
  • 7. Intersecting Line Properties
  • 8. Parallel Line Theorems
  • 9. Triangle: Sum of Interior Angles
  • 10. Finding sums of angles
  • 11. Identifying Parallel Lines Cut by a Transversal
  • 12. Parallel & Perpendicular Linear Equations
  • 13. Triangle Properties
  • 14. ANGLES AND TRIANGLES
  • 15. What class of Triangles use Pythagorean Theorem?
  • 16. Triangle Inequality
  • 17. Triangle Inequality
  • 18. Triangle Centers
  • 19. Triangle: Sum of Remote Interior Angles & Exterior Angle
  • 20. Triangle: Proportionality
  • 21. Quadrilateral Tools
  • 22. Diagonal Hint for a Rectangular Prism
  • 23. Pythagorean Theorem (Converse)
  • 24. Polygon Proofs of Pythagoras
  • 25. All Poly Proof of Pythagoras
  • 26. Pythagorean Proof SemiCircle
  • 27. Three-Dimensional Pythagorean Theorem
  • 28. Classify Triangles by Angle
  • 29. TRUE MEANING of π
  • 30. Supplementary Angles (Quick Exploration)
  • 31. Complementary Meaning?
  • 32. PolygonTypes
  • 33. Quadrilaterals--A taxonomy
  • 34. Area of Regular Polygon
  • 35. Regular Polygons (with Limits)
  • 36. Calculating the Surface Area of Prisms Using Nets
  • 37. Surface area of a sphere
  • 38. Finding the Treasure on the Coordinate Plane
  • 39. Pascal's triangle and Fibonacci sequence

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7.10.

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7.11.

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7.12.

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7.13.

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7.14.

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7.15.

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7.16.

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7.17.

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7.18.

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7.19.

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7.20.

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7.21.

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7.22.

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7.23.

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7.24.

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7.25.

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7.26.

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7.27.

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7.28.

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7.29.

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7.30.

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7.31.

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7.32.

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7.33.

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7.34.

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7.35.

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7.36.

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7.37.

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7.38.

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7.39.

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8.

3D Solids Geometry

Surface area and Volume

  • 1. Unfolding Shapes in 3D
  • 2. Surface Area & Volume: Right Prism
  • 3. SA and Volume: Triangular Prism
  • 4. Surface Area & Volume Pyramid
  • 5. Surface Area & Volume of a Cylinder
  • 6. Sector Area of a Cone's Lateral Area
  • 7. Surface Area & Volume: Sphere
  • 8. Mixed Area & Mixed Volume (Retangular)
  • 9. Nets of solids (3-D shapes)
  • 10. Connecting Volumes of Pyramids and Prisms Using Visual Models
  • 11. Area of a sphere viewed by the cylinder

8.1.

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8.2.

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8.3.

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8.4.

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8.5.

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8.6.

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8.7.

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8.8.

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8.9.

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8.10.

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8.11.

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9.

Translations

Reflect, Rotate, Glide, and other translations of geometric figures.

  • 1. 1: Exploring Reflections (y-axis)
  • 2. 2: Exploring Rotations (Origin)
  • 3. 3: Exploring Translations
  • 4. 4: Exploring Glide-Reflections
  • 5. 5: Exploring Two Reflections with Parallel Lines
  • 6. 6: Exploring Three Reflections with Parallel Lines
  • 7. 7: Exploring Reflections with Intersecting Lines
  • 8. 8: Exploring Reflections with Concurrent Lines
  • 9. Reflecting Points to Reflect Figures

9.1.

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9.2.

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9.3.

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9.4.

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9.5.

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9.6.

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9.7.

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9.8.

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9.9.

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10.

Problem Solving Stategies

  • 1. Problem Solving TACTICS
  • 2. Problem Solving Questions
  • 3. Kibbutz
  • 4. Venn Diagrams Calculator Final copy 4
  • 5. Polygon Limit Exploration (Archimedes Method)

10.1.

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10.2.

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10.3.

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10.4.

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10.5.

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11.

Advanced Algebra (Not HSE)

  • 1. General Quadratic Equation
  • 2. Quadratic Lesson Creator Part 1
  • 3. Quadratic Lesson Creator Part 2
  • 4. Quadratic Lesson Creator Part 3
  • 5. Vertex Form of Parabolas
  • 6. Vertex Form of Cubic
  • 7. Solving Absolute Value Inequalities Visually, Greater Than
  • 8. Solving Absolute Value Inequalities Visually, Less Than
  • 9. Transformations: Basic Family of Functions

11.1.

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11.2.

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11.3.

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11.4.

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11.5.

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11.6.

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11.7.

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11.8.

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11.9.

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12.

Geometry: GG Resources

  • 1. Finding Composite Volume Word Problems
  • 2. Surface Area: Introductory Exercises
  • 3. Volumes of Cylinders
  • 4. Connecting Volumes of Cones and Cylinders Using Visual Models

12.1.

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12.2.

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12.3.

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12.4.

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Information