Transcript SCO A4: Students will be expected to demonstrate an

SCO A4: Students will be expected
to demonstrate an understanding of
the relationship between fractions
and division.
Student Activities: An Introduction





What does 16 divided by 3 mean? Give a story
problem that would demonstrate this mathematical
sentence.
How can a fraction circle be used to solve this
problem? What is the answer?
For the fraction 2/3, how many items are being
shared? How many people are sharing the items?
2/3 is the amount each person would get when 3
people share 2 items.
The fraction 8/3 tells how many groups of 3 are in
8 items.
Student Activities

A4.1
 There were three pizzas left from the class
party. Everyone agreed that the organizing
committee would share what was left. What
part of the pizzas would each of the four
members receive if the pizzas were divided
equally?
Student Activities

What fraction of a hexagon does a blue rhombus
represent? Put together 11 of these rhombuses to
make hexagon shapes.
 Tell why another name for 14/3 is 4 and 2/3. Why
can you think of it as 14 divided by 3.
 A4.2
 Use pattern blocks to explain how you know that
17/3 (seventeen – thirds) is the same as 5 and 1/3
(five and one-third).
Student Activities

A4.3
 Find the mystery numbers:
 Clue: I divided one number by another
number and the result was 2 and ½. What
might the two numbers have been?
 What other combinations would also give a
quotient of 2 and ½?
Student Activities

A4.4
 Draw two different pictures of squares to
show 4/5 (four-fifths). One of your pictures
should represent part of a whole; however,
the second picture should show sharing.
 Create a word problem for each of these
situations and their pictures.
Student Activities

A4.5
 Examine the picture below and then tell
who is correct: John or Mark. Be ready to
explain your thinking.
 John states, “That picture shows 5/4.”
 Mark disagrees and suggests, “No, that
picture represents 5/8.”
Student Activities

A4.6
 You have a weekend job watering the
neighbour’s plants.
 How many cans of water would you need to
water nine plants if each plant needs ½ can?
Draw a model to show your answer.
 How many cans would you require if each
plant needed only one-third of a can?
Student Activities

A4.7
 What is the mixed number name for 16/3?
 Use a pictorial model to explain why you
would divide 16 by 3 to find the mixed
number name for 16/3.
Student Activities

A4.8
 Work in a small group to complete this
activity:
 Draw a fraction from the bag. In your
group, cooperate to think of a “division”
skit to act out your fraction. Perform your
skit. The rest of the class will try to guess
your fraction.
“Wow, I just learned the most exciting things about the
relationship between fractions and division. I can hardly wait
to call all of my friends!”