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Fraction Tiles Exploration

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Fraction Tiles Exploration

Use fraction tiles or the printed models to solve each puzzle. Show how you know; equivalent answers are acceptable.

Build and compare

Each strip represents one whole. The equal-sized parts in a row show the denominator.

1 whole

Halves: one of two equal parts

Thirds: one of three equal parts

Quarters: one of four equal parts

Sixths: one of six equal parts

Eighths: one of eight equal parts

1.Zoe builds one whole using three quarter tiles. What fraction of the whole is still missing? Write an equation.
2.Select every pair of tiles that makes exactly one whole.
  • 2/3 and 1/3
  • 3/8 and 4/8
  • 1/4 and 2/4
  • 5/6 and 1/6
3.Which is greater: 3/4 or 5/8? Use equivalent fractions or the tile bank to justify your choice.

Follow the fraction trail

Fractions can show places between whole numbers as well as parts of one whole.

4.Mark and label 1/4, 1/2, 3/4, 1, and 1 1/4 on this number line.
01.5
5.A trail is 1 3/8 km long. How many eighths of a kilometre is that altogether?
6.True or false: 7/6 is greater than one whole. Explain using sixths.

Tile workshop puzzles

Use addition, equivalence and fraction vocabulary to crack each workshop challenge.

7.Fill the missing fraction: 1/3 + = 1. Give your answer in thirds.
8.Fill the missing fraction: 1/2 + + 1/8 = 1. Write the missing fraction in eighths.
9.The workshop has 1/4-sized tiles. How many are needed to build 1 1/2 wholes? Write an equation to show your thinking.
10.Match each term to its meaning: numerator; denominator; unit fraction; improper fraction.
  • Numerator
  • Denominator
  • Unit fraction
  • Improper fraction
  • The bottom number; tells the number of equal parts in a whole
  • The top number in a fraction
  • A fraction whose numerator is greater than or equal to its denominator
  • A fraction with 1 as its numerator
11.Convert 11/4 to a mixed number. Show how many whole tiles and quarter tiles it contains.

3 printable pages

  • Fraction Tiles Exploration, page 1 of 3: Build and compare

    Page 1

  • Fraction Tiles Exploration, page 2 of 3: Follow the fraction trail, Tile workshop puzzles

    Page 2

  • Fraction Tiles Exploration, page 3 of 3: 10. Match each term to its meaning: numerator; denominator; unit fraction; improper…

    Page 3

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