Block Sum Representations and Fractions

This video tutorial demonstrates how to use pattern blocks to add fractions. It begins by defining a 'double hex' as one whole and assigns fractional values to different colored blocks. The lesson covers several examples, showing how to express sums using a single color and fractions. The tutorial emphasizes the importance of having the same denominators for fractions, corresponding to using the same color blocks. The video uses online pattern blocks from the National Library of Virtual Manipulatives to illustrate these concepts.

What is the value of one yellow block when one whole is defined as two yellow hexagons?

• One-fourth

• One-half

• One-sixth

• One-twelfth

In the first example, what is the sum of one yellow and one red block expressed using red blocks?

• Five red

• Four red

• Three red

• Two red

How is the sum of one yellow and one red block expressed in fractions?

• Two-thirds

• One-fourth

• Three-fourths

• One-half

In the second example, what is the sum of one blue and one red block expressed using green blocks?

• Seven green

• Five green

• Six green

• Four green

What is the fraction representation of the sum of one blue and one red block?

• Five-twelfths

• Five-sixths

• Four-twelfths

• Six-twelfths

In the third example, what is the sum of two red and four green blocks expressed using green blocks?

• Eight green

• Eleven green

• Nine green

• Ten green

What is the fraction representation of the sum of two red and four green blocks?

• Eight-twelfths

• Five-sixths

• Nine-twelfths

• Ten-twelfths

In the final example, what is the sum of three yellow, two red, and one blue block expressed using blue blocks?

• Thirteen blue

• Twelve blue

• Fifteen blue

• Fourteen blue

What is the fraction representation of the sum of three yellow, two red, and one blue block?

• Ten-sixths

• Eleven-sixths

• Twelve-sixths

• Thirteen-sixths

How many blue blocks are equivalent to three yellow blocks in the final example?

• Seven blue

• Eight blue

• Nine blue

• Ten blue