Number and Algebra yr 7-9 (2)

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 starterFill in the following columns

Fraction close to 0 but not equal to 0

Fraction close to 1/2 but not equal to 1/2

Fraction close to 1 but not equal to 1

And then this oneFraction close to 2 but not equal to 2

Fraction close to 2 1/2 but not equal to 2 1/2

Fraction close to 3 but not equal to 3

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?

Use fraction cards to play a game

“Traditional” ways of solving ratio problems

• Within measures

• Between measures

• Unit Rate

How would this problem be solvedin each of these ways?

Cooking a chicken takes 10 minutes for every 500g. How long to cook a 2.5kg chicken.

Within measure

50 mins

Between measure

divide by 50

50 mins

Unit measure

50 mins

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 politicsOn 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

• Hopping mad

PatternsFinding rules

Look for a common difference

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

b = 3a + 2

a b

1 5

2 8

3 11

4 14

Write a rule for this pattern

Write a rule for this pattern

Year 7 Standard

Year 8 Standard

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