Graphs of function

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• Math
• Secondary Education

Engage

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If this curved path represents a function, how could we use a graph to describe how steep the path is at one particular point?

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CH:18 : Quadratic and Cubic graph

Lesson 1

LO: Be able to

Plotting a cubic/quadratic function, drawing a tangent and finding its gradient.

Key Vocabulary

Cubic Function.

Gradient.

Date : /26

• LO: To construct and interpret histograms using frequency density.

Success Criteria

Grade C

Complete a table of values and plot the points accurately.

Grade B/A

Draw a smooth cubic / quadratic curve and a tangent at a given point.

Grade A/A*

Use the tangent to estimate the gradient .

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• LO: Plotting a cubic/quadratic function, drawing a tangent and finding its gradient.

• LO: Plotting a cubic/quadratic function, drawing a tangent and finding its gradient.

What do you notice about the gradient as we move along the curve

1

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00

second

+30 s

A

The gradient is always zero.

B

The gradient changes at different points along the curve.

C

The gradient does not depend on the position on the curve

How can you find the gradient of a curve at a particular point?

1

minute

30

second

+30 s

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The function is

Plot the graph and investigate its gradient at a given point.

Collaborative Activity

• LO: Plotting a cubic/quadratic function, drawing a tangent and finding its gradient.

5

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00

second

+30 s

How gradient is used in real life

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INDEPENDENT TASK/PERSONALIZATION: ELABORATE

1)

2)

3)

• LO: Plotting a cubic/quadratic function, drawing a tangent and finding its gradient.

• LO: Plotting a cubic/quadratic function, drawing a tangent and finding its gradient.

 

Extension

AFL: PROGRESS CHECK/ EXPLAIN

A

3

B

-3

C

2

D

-2

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Exit Ticket

3–2–1 Exit Ticket

1. : Steps I use to draw a tangent

1. : Two things I learned about gradient.

1 : One thing I still find challenging about drawing cubic graphs.

• LO: Plotting a cubic/quadratic function, drawing a tangent and finding its gradient.

Date :

LESSON OUTCOME / SELF- REFLECTION: HAVE WE ACHIVED THE LO:

• LO: Plotting a cubic/quadratic function, drawing a tangent and finding its gradient.