Math 365 Course Packet #5

Part 1 - Student Exploration: Adding Fractions with Pattern Blocks

Example: 1 Whole = 2 Hexagons: Use pattern blocks to find .

1) Use pattern blocks to find the following sums .

a) 1 Whole = 1 Hexagon and 2 Rhombi

fraction
type of blocks

b) 1 Whole = 2 Hexagons

fraction
type of blocks

c) 1 Whole = 2 Hexagons
 

fraction
type of blocks

d) 1 Whole = 3 Hexagons

fraction
type of blocks

e) 1 Whole = ______________________

fraction
type of blocks

f) 1 Whole = 4 Hexagons
 

fraction
type of blocks

Part 2 - Student Exploration: Adding Mixed Numbers with Pattern Blocks
1) Find the following sums and then explain how you can use pattern blocks to help find the sums.
a) 1 Whole = 1 Hexagon
b) 1 Whole = 1 Hexagon and 1 Rhombi

Part 3 - Student Exploration: Subtracting Fractions with Pattern Blocks

Example: 1 Whole = 2 Hexagons. Use pattern blocks to find

1) Use pattern blocks (as shown above) to find the following differences .

a) 1 Whole = 1 Hexagon

b) 1 Whole = 2 Hexagons

c) 1 Whole = 2 Hexagons and 2 Rhombi

Part 4 - Class Exploration: Subtracting Mixed Numbers with Pattern Blocks
1) Find the following differences and then explain how you can use pattern blocks to help find the differences.

a) 1 Whole = 1 Hexagon
b) 1 Whole = 1 Hexagon

Important Notes:

Student Exploration Part 1: Exploring Multiplication of Rationals by
Repeated Addition
1) Use repeated addition to find the following:



Student Exploration Part 2: Exploring Multiplication of Rationals with
Pattern Blocks