Math 365 Course Packet #5
Class Activity: Addition and Subtraction of Rational Numbers (Section 5.2) 
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:
Class Activity: Multiplying Fractions (Section 5.3) 
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
Example: 1 Whole = 2 Hexagons

1) 1 whole = 2 Hexagons

Verbal Meaning 
Area Model

2) 1 whole = 2 Hexagons

Verbal Meaning 
Area Model

3) 1 whole = 2 Hexagons

Verbal Meaning 
Area Model

4) 1 whole = 2 Hexagons

Verbal Meaning 
Area Model

5) 1 Whole = 4 Hexagons

Verbal Meaning 
Area Model

6) 1 whole = 4 Hexagons

Verbal Meaning 
Area Model

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