Subject: Math
Grade level: 11
Duration: 15 minutes
Prescribed Learning Outcomes:
It is expected that students will be able to:
-C4: Analyze quadratic
functions of the form y = ax2 + bx + c to identify characteristics of the
corresponding graph, including: vertex and to solve problems
-C5. Solve problems that involve quadratic equations
Objectives:
Students will be able to:
-Learn how to analyze
and solve real-life problems involving quadratic functions
-Identify the relationships
between maximum/minimum problems and quadratic functions
Materials/Resources:
-white boards in the
classroom
-Handouts of the word
problems
Lesson Plan
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||
Introduction
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5
minutes
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-Divide the class into groups of three
-Handout the “hook” question to each group
and encourage the students to come up with the dimensions that would enclose
the largest area without using algebra
A rancher has 800m of fencing to enclose a
rectangular cattle pen along a river bank. There is no fencing needed along
the river bank.
Can you guess which dimensions would enclose
the largest area?
(HINT: the dimensions are integers)
|
Entry
|
5
minutes
|
-Go over the rancher question on the board,
using algebraic method
Ask one or two students to come to the board and present their
solutions. Encourage those students that think they've made mistakes. This is
to promote mathematical thinking and that mistakes are part of the learning
process.
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Development
|
~4
minutes
|
-Ask the students to work on a similar
problem individually
You are trying to build a rectangular dog
fence in your backyard using 600cm of fencing material. Since your dog is
relatively big, you goal is to make a fence with the largest area possible
using the given material. What should the dimensions of the fence be?
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Closing
|
1
minute
|
-Go over the solution together.
|
Adaptations and Modifications:
-Allow students to
work in groups
-Provide more time for
work if needed
Assessment/Evaluation:
-Go around the
classroom while the students solve the problems together in groups on the board
to check their understanding
-Observe the students
while they work independently and identify what the most commonly made mistakes
are
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