Graphing

Bev Sue-Tang, May 9, 2015

"A selection of graphing materials for use in NZ secondary schools"

Table of Contents

  1. Introducing Quadratics
    1. "Angry Birds" Game 1
    2. Relationship between some quadratic equations
    3. Quadratic Function Exploration
    4. Transformations to the Quadratic Function
    5. Mr. Love's Vertex Form of a Quadratic Equation
    6. Organic Parabola Graph and Equation
    7. Parabolas
    8. Exploring Hyperbola Graphs
    9. Ball in Can - Photo B
    10. Nature of roots of a quadratic equation
  2. Linear
    1. y = mx + c
    2. y=mx+c Activity Fractions
    3. Graph a Line
    4. Systems of Inequalities
    5. Four representations of slope
    6. Forming Equation of a Straight Line Given Graph of Line
    7. Interactive Graphing Straight Line Ex 1B
  3. Non-linear
    1. Explore systems of nonlinear equations
    2. Systems of Equations
    3. Equation of Circle
    4. Identifying Equations from Graphs
    5. Investigating Hyperbola graphs
    6. Exploring Circle Graphs
    7. Polynomial Factors
    8. Exponential Graphs

1.

Introducing Quadratics

  • 1. "Angry Birds" Game 1
  • 2. Relationship between some quadratic equations
  • 3. Quadratic Function Exploration
  • 4. Transformations to the Quadratic Function
  • 5. Mr. Love's Vertex Form of a Quadratic Equation
  • 6. Organic Parabola Graph and Equation
  • 7. Parabolas
  • 8. Exploring Hyperbola Graphs
  • 9. Ball in Can - Photo B
  • 10. Nature of roots of a quadratic equation

1.1.

"Angry Birds" Game 1

Can you write a Quadratic Equation that will guide the birds to hit the pigs? [list=1] [*]Decide what your x-intercepts should be and pick another point to determine "a". [*]Use those points to write a quadratic equation for the bird's path. [*]Enter your equation into the field and push play in the bottom left corner. [*]Watch to see if your bird hits the pig! [/list] Hit all the pigs with as few birds as possible. Good Luck!
– Mrs. Crow

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1.9.

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1.10.

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2.

Linear

  • 1. y = mx + c
  • 2. y=mx+c Activity Fractions
  • 3. Graph a Line
  • 4. Systems of Inequalities
  • 5. Four representations of slope
  • 6. Forming Equation of a Straight Line Given Graph of Line
  • 7. Interactive Graphing Straight Line Ex 1B

2.1.

y = mx + c

Use the sliders to change the equation/graph or to view some of the coordinates being plotted.

How can you use the table of values (The spreadsheet bit at the top) to plot a graph from an equation (in blue on the graph). As you change the value of 'm' using the slider, what happens to the equation (in blue)? And what is the effect on the graph? As you change the value of 'c' using the slider, what happens to the equation (in blue)? And what is the effect on the graph?
– apg202

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3.

Non-linear

  • 1. Explore systems of nonlinear equations
  • 2. Systems of Equations
  • 3. Equation of Circle
  • 4. Identifying Equations from Graphs
  • 5. Investigating Hyperbola graphs
  • 6. Exploring Circle Graphs
  • 7. Polynomial Factors
  • 8. Exponential Graphs

3.1.

Explore systems of nonlinear equations

Explore systems of equations with one linear and one nonlinear equation. Use the blue sliders to change the quadratic equation. Use the purple sliders to change the linear equation. Explore when there is 1 solution, 2 solutions, or no solution to the systems.

1. What do the graphs look like when there is there 1 solution to the system? 2. What do the graphs look like when there are there 2 solutions to the system? 3. What do the graphs look like when there is no solution to the system?
– Samantha Garcia

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