1. Number and Algebra yr 7-9 (2)
Alison Fagan Maths advisor

2. Feed back from last course: Number
What activities have you tried from last time
What modifications did you make?
How did it go?

3. Number
fractions
number sense
ratio

4. Fraction starter Fill 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

5. And then this one Fraction close to 2 but not equal to 2

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

7. Number activities For each activity
Decide if it is suitable as an assessment
If appropriate develop an assessment schedule

8. (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?

10. Use fraction cards to play a game

11. “Traditional” ways of solving ratio problems
Within measures
Between measures
Unit Rate

12. How would this problem be solved in each of these ways?
Cooking a chicken takes 10 minutes for every 500g. How long to cook a 2.5kg chicken.

13. Within measure
50 mins

14. Between measure
50 mins
divide by 50

15. Unit measure
50 mins

16. 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

17. 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

19. Algebra
introduction
generalising
patterns

20. Feed back from last course: Algebra
What activities have you tried from last time
What modifications did you make
How did it go?

21. Generalisation from Number
7 + 8 = 6 +
7 +  = 6 + 4
7 +  = 6 + 
7 + 8 =  + 

22. What happens for Subtraction?
Develop a similar sequence for subtraction

23. Algebra activities
Building borders
Julius squarius
Hopping mad

24. 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 a b 1 5 2 8 3 11 4 14

26. Write a rule for this pattern

27. Write a rule for this pattern

28. Year 7 Standard

30. Year 8 Standard

32. Powerpoint available at
New York Cop and other practical activities
Bell, Brown and Buckley Cambridge University Press
ISBN