Number and Algebra yr 7-9 (2)

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# Number and Algebra yr 7-9 (2) - PowerPoint PPT Presentation

Number and Algebra yr 7-9 (2) . Alison Fagan Maths advisor. Feed back from last course: Number. What activities have you tried from last time What modifications did you make? How did it go?. Number. fractions number sense ratio. Fraction starter. Fill in the following columns.

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## Number and Algebra yr 7-9 (2)

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### Number and Algebra yr 7-9 (2)

Feed back from last course: Number

What activities have you tried from last time

What modifications did you make?

How did it go?

Number
• fractions
• number sense
• ratio
Fraction starter

Fill in the following columns

Number activities
• Numbers that make numbers
• Number wall
• Peaches today
• Fraction card game
• Percentage politics
• Ratio, proportional puzzles
Number activities

For each activity

• Decide if it is suitable as an assessment
• If appropriate develop an assessment schedule
(i) A little monkey had 60 peaches.

On the first day he decided to keep 3/4 of his peaches. He gave the rest away. Then he ate one.

On the second day he decided to keep 7/11 of his peaches. He gave the rest away. Then he ate one.

On the third day he decided to keep 5/9 of his peaches. He gave the rest away. Then he ate one.

On the fourth day he decided to keep 2/7 of his peaches. He gave the rest away. Then he ate one.

On the fifth day he decided to keep 2/3 of his peaches. He gave the rest away. Then he ate one.

How many did he have left at the end?

“Traditional” ways of solving ratio problems
• Within measures
• Between measures
• Unit Rate
Between measure

50 mins

divide by 50

Solve this problem

You can make 6 glasses of lemonade with 8 lemons.

How many glasses can you make with 28 lemons?

In each of the 3 ways

Percentage politics

On Mathland TV a political commentator summed up an election result as follows.

A Labour majority of 1729 last time has been turned into a National majority of 1654 in this election and the National candidate has obtained 38% of the poll. Labour has taken second place. The NZ Party has obtained only 14% of the poll and has been beaten into fourth place by the Greens candidate who has 50 more votes than the NZ Party.

Given that there were just four candidates and that the figures quoted were exact find the number of votes polled for each candidate

Algebra
• introduction
• generalising
• patterns
Feed back from last course: Algebra

What activities have you tried from last time

What modifications did you make

How did it go?

Generalisation from Number

7 + 8 = 6 +

7 +  = 6 + 4

7 +  = 6 + 

7 + 8 =  + 

What happens for Subtraction?

Develop a similar sequence for subtraction

Algebra activities
• Building borders
• Julius squarius
Patterns

Finding rules

Look for a common difference

Find what number needs to be added or subtracted to make the rule work

b = 3a + 2

Powerpoint available at

http://ced-mxteachers-news-site.wikispaces.com/

New York Cop and other practical activities

Bell, Brown and Buckley Cambridge University Press

ISBN 0 521 40645 5