What fraction of each
shape is (c), the smallest
triangle?
Show your working. Include
diagrams if they are helpful.
Shape
No. of (c) triangles that would fit inside
What fraction of this shape is ( c )
Largest Triangle (f) or (g)
Medium Triangle (a)
Parallelogram(d)
Square (b)
2) What fraction of triangle (f) is each smaller shape listed
in the table below? Show your working.
Shape
Fraction of triangle (f)
Medium triangle (a)
Parallelogram (d)
Square (b)
3) What fraction of the whole tangram set is represented
by each color? Show your working.
4) Which different shapes have the same area?
Explain how you know this.
5) Show two examples of how different colored pieces can be
added together to equal the area of a different colored piece.
6) Take turns in giving feedback by first asking questions to clarify
anything that isn’t quite clear. Then, give at least one positive
comment. Follow that with a suggestion for improvement, if
Appropriate
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7) Explain what the numerator and denominator represent in a
fraction.
8) Explain two different methods you could use to compare the
fractions 5/11 ans 9/20.
9) Explain what happens to the value of a fraction if the denominator
stays the same and the numerator increases.
10) Explain what happens to the value of a fraction if the numerator
stays the same and the denominator increases.
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At the beginning of every New Year, Noë’s family has a tradition where they gather around the kitchen table with a bowl full of grapes. Along with his mother, father and sister, each family member makes 12 wishes and eats one grape per wish. They take turns, making a wish and eating a grape each round, until they have completed 12rounds.
How many grapes will be eaten in all?
Show your working.
At what point will half of the grapes be eaten?
Justify your answer.
At what point will ¼ of the grapes be eaten?
Justify your answer.
At what point will 9/16 of the grapes be eaten?
Justify your answer.
After seven rounds, what fraction of the grapes have
been eaten? Find your answer in two different ways.
When only two grapes are left, what fraction of the
grapes have been eaten? Justify your answer.
Discuss any rituals that your family has to celebrate or anticipate
the New Year.
How do these traditions develop connections between family
members?
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12) Arrange the following fraction in descending order:
(Show the working in complete and
clear steps)
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