Fractions with Pattern Blocks

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Presentation transcript:

Fractions with Pattern Blocks Suzanne Evans

You will need . . .

Investigation How many green triangles does it take to cover each pattern block piece below?

Discovery How many green triangles does it take to cover each pattern block piece below? 6 3 2

1 ? ? Investigation If the yellow hexagon represents 1 whole. = Place the red trapezoids on the hexagon to find the answer. What does the red trapezoid represent? ? = What does the blue rhombus represent? Place the blue rhombi on the hexagon to find the answer. ? =

Discovery 1 = 1 2 1 3

Compare: <, >, = 1 2 1 3 ? 1 2 1 6 ? 1 6 1 3 ?

Findings: <, >, = 1 2 1 3 > 1 2 1 6 > 1 6 1 3 <

Investigation 1 2 ? 6 ? 6 1 = = ? 6 ? 6 1 3 1 6 1 3 + = =

Discovery 1 2 3 6 6 1 = = 3 6 2 6 1 3 1 6 1 3 + = =

Investigation ? 6 ? 6 1 3 1 6 1 2 1 3 = + = + ? 6 ? 6 1 2 1 6 1 3 1 3 = = + +

Discovery 5 6 3 6 1 3 1 6 1 2 1 3 = + = + 4 6 4 6 1 2 1 6 = 1 3 1 3 = + +

Investigation 1 1 3 = ? ? = =

Discovery 1 1 3 = 3 5 6 2 1 2 = =

Pattern Blocks Riddle 1: I have red and blue tiles. ½ the items are blue. 3 are red. Find my tiles.

Pattern Blocks Riddle 1: I have red and blue tiles. ½ the items are blue. 3 are red. Find my tiles.

Pattern Blocks Riddle 2: I have 10 tiles. 3/10 of the items are yellow. I have one more red than blue. I have 2 green. Find my tiles.

Pattern Blocks Riddle 2: I have 10 tiles. 3/10 of the items are yellow. I have one more red than blue. I have 2 green. Find my tiles.

Pattern Blocks Design a new riddle. Use your Pattern Blocks to be sure YOU know the answer. Trade riddles with a partner. Solve the new riddle.

Pattern Blocks Fraction Puzzle 1: Build a triangle that is 1/3 green and 2/3 red.

Pattern Blocks Fraction Puzzle 1: Build a triangle that is 1/3 green and 2/3 red. Are there other solutions?

Pattern Blocks Fraction Puzzle 2: Build a parallelogram that is that is 3/4 blue and 1/4 green.

Pattern Blocks Fraction Puzzle 2: Build a parallelogram that is that is 3/4 blue and 1/4 green. Are there other solutions?

Pattern Blocks Fraction Puzzles: Design your own fraction puzzle. Use your blocks to be sure YOU know the answer. Trade puzzles with a partner. Solve the new puzzle.