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
 
Problem

Verbal Meaning

Find two -thirds of one-fourth.
 

Area Model

1st: Find 1/4 of the whole

2nd: Partition the 1/4 of the whole into
thirds and shade in 2 of the thirds.

3rd: How much of the whole does the
shaded region from step 2 represent ?

   

 

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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