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

Week 28 · Dividing Fractions; Line and Circle Graphs

This week

Lessons 131, 132, 133, 134 & 135

Papers

Quiz 13 in class · Last test graded and signed at home · Escape Room 7 opens

Method

No calculators, ever · show every step

Instructional notes

Constructing Line and Circle Graphs Use student work-text to create a circle and line graph. If time is short, have students use previously gathered or created data. Students can begin graphs in class and finish at home if needed.

Instructional notes

Dividing Fractions A reciprocal is formed by inverting the fraction. becomes .

To divide fractions: • Keep the first fraction • Change the division sign to multiplication

• Flip the second fraction

• Cancel if possible

• Multiply

Mixed numbers and whole numbers must be converted to improper fractions first.

EXAMPLE PROBLEM

Divide to find the quotient.

1 3 2 3 1 7 4 28 1 5 1 5 x = =1 x = =3 x = 4 1 2 2 3 3 9 9 8 4 32 2

Practice

Divide to find the quotient.

Instructional notes

Rounding Mixed Numbers

To round a mixed number: • Look at the fraction 1 < round down whole number doesn’t change 2 1 ≥ round up to next whole number 2

Example

Round to the nearest whole number.

> < 3 2 5 2 Round up Round down

Practice

Round to the nearest whole number.

8 1 ≈1 4 ≈5 9 2

Instructional notes

Dividing a Whole Number by a Fraction

To divide a whole number by a fraction: • Change all whole numbers and mixed numbers to improper fractions • Keep the first fraction • Change to multiplication • Flip the second fraction (the reciprocal) • Cancel if possible • Multiply the two fractions • Change improper fraction if needed

Example

Divide.

3 6 3 9 X = 1 2 1 1

Practice

Write each quotient.

✍ In your own words

When dividing a whole number by a fraction, why do we ‘flip and multiply’? What does it mean to divide by a fraction? Suggested Answer: “Dividing by a fraction asks: how many times does this fraction fit into the whole number? Flipping and multiplying is a shortcut that gives the same answer. For example, 6 ÷ 12 asks how many halves are in 6. Since each whole has 2 halves, 6 × 2 = 12 halves."

Homework this week

Work-text	Lesson 131	Lesson 132	Lesson 133	Lesson 134	Lesson 135
Speed drill	131	132	133	135

Terms on the record

Term	Meaning
reciprocal	A reciprocal is formed by inverting the fraction. becomes .
dividing fractions	A reciprocal is formed by inverting the fraction. becomes .

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