Rich tasks

• This is an open-ended activity that requires students to shade triangles in a shape to create fractions of the whole. The task can be given at the start of a topic and done as the students gain enough understanding to complete it or given as a homework task.

1. Granny Crinkle’s new gate

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Fractions of sets page 148

• Find a fraction of a set.
• Solve word problems involving fractions.

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Improper fractions and mixed numbers page 152

• Understand that numbers with a numerator greater than the denominator indicate a fraction that is greater than 1 and that this is called an improper fraction.
• Know that an improper fraction can be written as a mixed number.
• Be able to write improper fractions as mixed numbers and vice versa.

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Sharing using improper fractions and mixed numbers page 154

• Understand that a fraction is created when a whole or part of a whole is divided into equal pieces.
• Use additive or multiplicative strategies to find a fraction of a region, including regions greater than 1.

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Fractions of sets and regions page 157

• Use fractions as an operator to find a fraction of a region or set.

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Ordering fractions page 159

• Order unit fractions using a range of strategies, including knowing that the denominator indicates the number of equal parts in the whole.
• Know that making a whole from smaller parts requires a greater number of parts.

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Fractions that add to a whole page 157

• Know that whenever the numerator of a fraction is the same as the denominator, the fraction is the same as one whole.
• Solve word problems that use parts to make a whole.

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