Quadratic Graphs
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The document provides instructions for students to: 1) Plot the points (3,4), (1,2), (-1,0) on a graph and connect them to draw a line. 2) Draw a table of values for the quadratic equation y = x^2 + 3x - 5 and plot those points on a graph. 3) Estimate the minimum point and solutions of the equation by analyzing the graph.
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Quadratic Graphs
- 1. Bell work Draw these axes and plot the points (3,4), (1,2), (-1,0) and join them up. What can you say about the line?
- 2. Connect the Learning You have learned a large number of ways to solve quadratic equations. Today we’re going to learn the fourth way
- 3. Learning objectives To be able to draw a quadratic graph To be able to solve quadratic equations from the graph
- 4. Input y = x ² + 3x - 5 When x is 0, what is y? When x is 1, what is y? When x is -1, what is y? How else could we organise this?
- 5. y = x ² + 3x - 5 Draw a table for x and y Use x from 3 to -6. Fill in values for y. Plot the points on your graph and join up to make a smooth curve. What is the minimum point? Estimate the solution to x ² + 3x – 5 = 0 Input
- 6. Activity Exercise 23A, page 382
- 7. Demonstrate Here is the graph of y = 2x ² + x -3 Write down an estimate of it’s minimum point Write down an estimate of the solution to 2x ² + x -3 = 3
- 8. Review/ Plenary Write in your book three things you need to remember about today’s lesson Write down one thing you are not clear about and would like to go over again Finally, write down a number from 1-5 suggesting how well you met the learning objective.