Unit #:Measurement Day #:1 Estimating Area and Area of a
Circle

Grade 8


60 min

Math Learning Goals
Curriculum Expectations: By the end of Grade 8, students
will:
· Determine
the relationships among units and measurable attributes, including the area
of a circle and the volume of a cylinder.
Specific Expectations:
The students will:
Measurement
Relationships
· Measure
the circumference, radius, and diameter of circular objects, using concrete
materials
· Determine,
through investigation using a variety of tools and strategies, the
relationships for calculating the circumference and the area of a circle, and
generalize to develop the formulas

Materials
· Smart
Board
· text
book
· circle
cutouts
· grid
chart paper
· area
of a circle video
· Smart
Notebook file


Begin with a quick refresher of the formula for
calculating area of a square. Also, a reminder on how to calculate the area
of a parallelogram should be explained.
Use grid chart paper and circle cutouts with the class to
determine an area when cutting out the circle to form a parallelogram.
What variables are identifiable on the parallelogram
that are also on a circle?
What information do
we need to determine area? What variable do we need so that we can identify
the area?


Minds On…


1015mins



Discuss the
links between the area of a parallelogram and area of a circle.

What do
you noticed about the radius in when it is used to build the parallelogram?
What about the circumference? Can we determine a formula for the area of a
circle based on this information?
Based on their
knowledge of calculating circumference, guide students to identifying
possible equations for area of a circle.
Show video
clip
As a class,
work together to solve some circle area problems.
As completed,
take them up stepbystep to model the procedure and solidify it for the
class.
Be sure to
address all methods of determining area that will be necessary to complete
the assessment.

What
equation would we use for each question? What information does the question
provide us with? Can we figure out the other variables? How?


Action!


3035mins
Concept
Exploration



Recap the lesson by discussing the
relationships between the area of a parallelogram and the area of a circle


Consolidate Debrief


1015mins


Practice
Reflection
Skill Drill
Differentiated
Exploration

Home
Activity or Further Classroom Consolidation
Assign
questions from the text for the students to gain a firm grasp of the formula
for area of a circle.
As the
students work at their seats, walk the room and address any difficulties with
the questions. If a question appears to be causing difficulty for numerous
individuals, take it up with the class.
Continue along with more area
of a circle. Focus on the different ways of manipulating the formula.
Or
As a class, they will be directed to form a circle in the
centre of the classroom after my instructions. During the instruction I will
inform the students that each tile on the floor is about one foot long and
one foot wide. From here, the students will estimate the radius, diameter,
circumference and the area of the circle they have formed.
How can we estimate the radius? How can we estimate the diameter? Explain.
Can we be more
accurate if we measure?
Helps provide a visual for students who are having
difficulty thinking of the concept in an abstract fashion.


Thursday, June 14, 2012
Assignment 5  3 Part Lesson
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