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Developing a Conceptual Understanding of Fractions Using Pattern Blocks
20

Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Jan 13, 2016

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Blanche Harmon
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Page 1: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Developing a Conceptual Understanding of Fractions

Using Pattern Blocks

Page 2: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Pattern blocks are a great way to develop fractional relationships.

Students can explore geometric models of fractions to discover relations between them.

The green triangle is the smallest of all the shapes.

The blue rhombus’s size or area is exactly twice that of the triangle.

The red trapezoid’s size is exactly three times that of the triangle.

The yellow hexagon is the largest of all the shapes. It’s size or area is exactly six times that of the triangle.

Page 3: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 4: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Start Out Simple

How many are in ?

How many are in ?

How many are in ?

How many are in ?

How many are in ?

Page 5: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 6: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

What is the Fraction?

If = 1, = ________

If = 1, = ________

If = 1, = ________

Page 7: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 8: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 9: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 10: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 11: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 12: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

We can also introduce the double hexagon as the unit, so that we can have fractions of 1/2, 1/3, 1/4, 1/6, and 1/12

Page 13: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 14: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 15: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 16: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Using Pattern Blocks to Teach Fractions

Page 17: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

More fraction puzzles

If + = 2/5, what is 1/5?

If = 3/4, what is 1/2?

If + = 3/8, what is 3/4?

If - - = 1 1/3, what is 2/3 ?

Page 18: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Can You Do These?

If + = 1, what is ?

If + = 1, what is ?

If + + =1, what is + ?

If + = 1, what is ?

Page 19: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Fractions of a Design

What fraction of the design is blue?  What fraction of the design is red?  What fraction of the design is yellow?  What fraction of the design is green?

Page 20: Developing a Conceptual Understanding of Fractions Using Pattern Blocks.

Other Pattern Block questions

1) If each triangular piece costs $1.00, how much will the whole large triangle cost?

2) If the whole large triangle costs $1.00, how much will each piece cost?