Number and Algebra yr 7-9 (2)
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Transcript of Number and Algebra yr 7-9 (2)
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Number and Algebra yr 7-9 (2)
Alison Fagan Maths advisor
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Feed back from last course: Number
What activities have you tried from last time
What modifications did you make?
How did it go?
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Number
• fractions
• number sense
• ratio
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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
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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
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Number activities
• Numbers that make numbers
• Number wall
• Peaches today
• Fraction card game
• Percentage politics
• Ratio, proportional puzzles
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Number activities
For each activity
• Decide if it is suitable as an assessment
• If appropriate develop an assessment schedule
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(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?
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Use fraction cards to play a game
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“Traditional” ways of solving ratio problems
• Within measures
• Between measures
• Unit Rate
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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.
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Within measure
50 mins
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Between measure
divide by 50
50 mins
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Unit measure
50 mins
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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
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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
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Algebra
• introduction
• generalising
• patterns
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Feed back from last course: Algebra
What activities have you tried from last time
What modifications did you make
How did it go?
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Generalisation from Number
7 + 8 = 6 +
7 + = 6 + 4
7 + = 6 +
7 + 8 = +
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What happens for Subtraction?
Develop a similar sequence for subtraction
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Algebra activities• Building borders
• Julius squarius
• Hopping mad
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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
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Write a rule for this pattern
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Write a rule for this pattern
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Year 7 Standard
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Year 8 Standard
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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