 # 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

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