STRATEGY
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Stage 6
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Advanced Additive
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ADDITION and SUBTRACTION using a broad range of mental strategies
This is what I can do
and
what I can’t do yet. Lukas Term 4 2106
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Rounding and compensating
(using Tidy Numbers)
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394 + 79 →
(394 + 80) - 1
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Solve this problem using rounding and compensation.
432 + 29 =
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Place Value Partitioning
(break the numbers up into their place value parts
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394 + 79 →
390 + 70 + 9 + 4
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Solve this problem using place value.
432 + 29 =
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Compatible Numbers
(look for the numbers that add to 100)
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35 + 37 + 65 →
(35 + 65) + 37
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Solve this problem using compatible numbers.
66 +18 + 34 =
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Reversibility
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403 - 97 →
97 + ? = 403
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Solve this problem by using reversability.
220-96 =
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Equal Additions (add the same amount to both numbers)
Only use for subtraction.
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403 - 97 →
406 - 100 = 306
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Solve this subtraction problem using equal additions.
403 - 96 =
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Equal Subtractions (subtract the same amount from both numbers)
Only use for subtraction.
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403 - 88 →
400 - 85 = 315
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Solve this subtraction problem using equal subtractions.
294 - 104 =
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Equal Adjustments ( add to one number and subtract an equal amount from the other)
Only use for addition.
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407 + 88 →
410 + 85 = 495
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Solve this addition problem using equal adjustments
295 + 67 =
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Standard written method
(algorithm) for addition with trading/renaming
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Solve the problem.
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3548
+1034
_____
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Standard written method
(algorithm) for subtraction with trading/renaming
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Solve the problem.
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2403
-1097
_____
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Reflective comment/goal setting
This page just shows the kind of problem you can solve as you worked the answers out on paper.I kind of get the feeling that you weren’t paying enough attention to the instructions and examples as most of these problems are easy. You need to go back and re-do some lessons in Maths Buddy which teach how to use these strategies. You could also look for and view some lessons on Youtube. Try using the pink highlighted words as search terms.Mrs B😉
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Strategy Stage 6 Advanced Additive
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MULTIPLICATION and DIVISION: deriving multiplication facts
This is what I can do
and
what I can’t do yet. Lukas Term 4 2016
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Doubling
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8 x 3 → 2x (4 x 3)
I don’t know the answer to 8 x 3 = but I know the answer to
4 x 3 = so I work out 2 lots of 4 x 3
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Use doubling to solve this problem.
6 x 4 =
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Adding and Subtracting from a known problem
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8 x 3 → (7 x 3) + 3
I don’t know the answer to 8 x 3 = but I know the answer to
7 x3 = 21 so I will just add one more 3 to 21
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Solve this problem by using adding or subtracting from a known problem.
11 x 4 =
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Reversing
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63 ÷ 9 → 9 x ? = 63
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Solve this problem by using reversing.
48 divided by 8 = 8 x ______ = 48
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Doubling one number and halving the other
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3 x 12 → 6 x 6
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Solve this problem by using doubling and halving.
12 x 5 =
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Multiplying by tens and hundreds
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70 x 5 → 7 x 5 x 10
I don’t know the answer to 70 x 5 = but I can work it out by doing 7 x 5 = 35
and then 35 x 10 = 350
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Solve this problem by using tens
60 x 4 =
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My reflective comment/goal setting:
This page just shows the kind of problem you can solve as you worked the answers out on paper.I kind of get the feeling that you weren’t paying enough attention to the instructions and examples as most of these problems are easy. You need to go back and re-do some lessons in Maths Buddy which teach how to use these strategies. You could also look for and view some lessons on Youtube. Try using the pink highlighted words as search terms for solving multiplication problems. Mrs B😉
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Strategy Stage 6 Advanced Additive
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FRACTIONS: using multiplication and division strategies
This is what I can do
and
what I can’t do yet. Lukas Term 4 2106
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Find fractions of whole numbers
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Example:
¾ of 24 = ?
If all of this equals 24, how much will ¾ of it be worth?
6+6+6 = 18
Example:
I’m thinking of a mystery number.
21 is ¾ of it.
What is the mystery number?
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Solve this problem.
If all of this equals 20, how much will ¾ of it be worth?
Solve this problem.
I’m thinking of a mystery number.
18 is ⅔ of it.
What is the mystery number?
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Solve simple equivalent ratio and rate problems
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2 : 3 so ? : 6
What have I done to the 3 to change it into 6?
I have doubled it. Therefore, I need to double the 2.
Double 2 is 4 so…
2:3 = 4:6
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Use the same thinking to solve this problem
.5 : 10 = 15 : ________?
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Compare fraction sizes with whole numbers (renaming)
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37/7 = 5 2/7
Thirty seven sevenths is the same amount of pizza as
5 whole pizzas and 2/7 of a pizza.
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17/4 =
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My reflective comment/goal setting:
This page just shows the kind of problems you could or couldn’t solve as you did your working out on paper. Obviously, this is a weak area for you. You need to go back to Maths Buddy and find the lessons which will help you with these problems. Or, go to Youtube and do a search for: Solve fraction and ratio problems using multiplicative thinking, and see what lessons you find. If you can’t find anything using that search term, try using the pink highlighted words as search terms.Mrs B😉
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