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Sketch/Illustrate 2/3

Agenda:

• Exam comments• After the exam…• Making some connections

Agenda:

• Opportunity• Fraction practice

Symbols• Why do we use a X b for multiplication?• Why do we switch to a • b for

multiplication?• Why do we use c ÷ d for division?• Why do we switch to c / d or

for division? c

d

What is “cancelling”, really?

• Use cancelling to solve the following:

6000/20 =

152/8 =

345/5 =

• Using our description of cancelling above solve:

(20 + x)/20 =

What is “cancelling”, really?

• Revise our description:

152/8 = = (160 – 8)/8 =

345/5 = = (340 + 5)/5 =

And a connection

22 ÷ 7 = 3 R 1 means 22 = 73 + 1

How are these related?

5 ÷ 3 = 1 R 2 means 5 = 31 + 2

20 ÷ 12 = 1 R8 means 20 = 121 + 8

Explain why

5 ÷ 3 = (5 • 4) ÷ (3 • 4)

without doing any calculations