English | Español

Try our Free Online Math Solver!

Online Math Solver

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

Please use this form if you would like
to have this math solver on your website,
free of charge.


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

   
Prev Next