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STILLWATER CROSSING · THE COURSE NOTES · BRIDGE MATH 5/6

Week 13 · Mixed Numbers and Improper Fractions

This week
Lessons 61, 62, 63, 64 & 65
Papers
Quiz 6 in class · Last test graded and signed at home
Method
No calculators, ever · show every step
Instructional notes

Changing Mixed Numbers to Improper Fractions

To change a mixed number to an improper fraction: • Multiply the denominator by the whole number • Add the numerator to the product • Write the sum as the numerator • Keep the denominator

Example

Change each mixed number to an improper fraction.

worked example from the course notes
Practice

Change each mixed number to an improper fraction.

worked example from the course notes
worked example from the course notes
Instructional notes

Multiply a Fraction and a Whole Number

• Change any whole numbers to an improper fraction • Cancel if possible • Multiply

Hint: the word “of” in math is often used to mean multiplication.

Example

Write each product. 3 5 8x = of 3 =

4 6 8 3 6 5 3 5 1 x = =6 x = =2 1 4 1 6 1 2 2

Practice

Write each product.

2 2 5 5 × 5= of 18 = 5 15 3 16 8

worked example from the course notes
Instructional notes

Multiplying Fractions and Mixed Numbers

To multiply a mixed number and a fraction: • Change all mixed numbers to improper fractions • Cancel if possible • Multiply • Convert improper fractions

Example

Multiply.

worked example from the course notes
Practice

Multiply.

worked example from the course notes
worked example from the course notes
Instructional notes

Bar Graphs use bars to show data. Bars may be horizontal or vertical.

Example

Gumballs in the Machine

Blue

Green

Yellow

Orange

Red

0 5 10 15 20 25 30

Number of Gumballs

Questions 1. How many gumballs were in the machine? 80 2. How many blue or green gumballs were there? 35 3. How many more blue gumballs than yellow were in the machine? 5 4. How many more primary-colored gumballs than secondary colors were there? 60-20 = 40

Practice

Complete page 115 1 a- f in student work-text or create a class graph.

Extra Practice

Change to an improper fraction.

worked example from the course notes

Multiply.

worked example from the course notes
worked example from the course notes
✍ In your own words

Write a real-world word problem that can be solved by multiplying a fraction and a whole number. Be sure to solve the problem.

Homework this week
Work-textLesson 61Lesson 62Lesson 63Lesson 64Lesson 65
Speed drill61626365

Terms on the record

TermMeaning
mixed numbersChanging Mixed Numbers to Improper Fractions
STILLWATER CROSSING // BRIDGE MATH // PENUMBRA · steady on