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Create a number less than 4.15
-write in expanded fractional form
- add it to 4.15
-subtract it
-multiply them

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Picture to decimal and fraction
Decimal to expanded fraction
Expanded fraction to decimal
Comparing
Add subtract decimals

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List the numbers between 4 and 5.

Extension: List the numbers between 4 and 5 with the digit 7

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Decimals

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a) 16x5
b) 18x4
c) 12x14
d) 23x16
e)123x23
f) 2.3x 23
g) 18x 23.23
h) 1.23 x 23.1

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What is your age in years as a decimal?
In weeks?
How long is the school day in hours as a decimal?

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How can we check if our answer is correct? Make a list of the ways.

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a) 9b + 4a + 8b - 2a

b) 4g x 2b x c

c) 9a - b when a=2 and b=4

d) 2(3a + 2b) + 3(2a +3b)

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Algebra CAT

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Continue the pattern
Shape             0    1     2      3     4     5    6    7     10
Matchsticks        -6   -3   0 3

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Continue the pattern
Shape             0    1     2      3     4     5    6    7     10
Matchsticks                -3   0 3

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Continue the pattern
Shape             0    1     2      3     4     5    6    7     10
Matchsticks        -6      -3   0 3

# data[].attributes.body
Continue the pattern
Shape             0    1     2      3     4     5    6    7     10
Matchsticks        -6   -3   0 3

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Continue the pattern
Shape             0    1     2      3     4     5    6    7     10
Matchsticks          -6      -3   0 3

# data[].attributes.body
Continue the pattern
Shape             0    1     2      3     4     5    6    7     10
Matchsticks                   0 3

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Continue the pattern
Shape             0      1     2      3       4       5    6    7     10
Matchsticks          17   32    47

# data[].attributes.body
Continue the pattern
Shape             0    1     2     3    4    5 6 7 10
Matchsticks        1     3  5

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For these worksheets see if you can find the rule and the 10tt and 100th case

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7.3 Continuing number pattern no answers

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Continue the pattern
Shape             0   1     2     3    4    5
Matchsticks       7     11   15

What is the rule? How many in the 10th shape? 100th shape?

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Patterns

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Create a group that has:
someone from A
someone from B
mixed gender
Someone who is 12
Someone who knows the first verse of the Australian anthem.

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Multiplication

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+ or -
a number 1-10
a, b or c

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adding and subtracting linear expressions

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What are the rules when adding algebra?
What are the rules when multiplying algebra?
What are the rules when expanding brackets?

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What do you think substitution means? Give an example.

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Not sure what a word quotient, product or hippopotomonstrosesquippedaliophobi means? Look it up!

http://www.amathsdictionaryforkids.com/dictionary.html

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https://www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-writing-expressions/e/writing-expressions-with-variables-1

https://www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-writing-expressions/e/writing_expressions_1

https://www.khanacademy.org/math/pre-algebra/pre-algebra-equations-expressions/pre-algebra-alg-expression-word-problems/e/writing-expressions-with-variables-word-problems

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Substitution

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Find two terms that add to equal:
a) 5a   b) 4b2   c) c2

Now find two terms that multiply to equal those numbers.
Extension: see if you find every possible combination that equals those numbers.

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Compare multiplication of algebra to addition of algebra

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10a x 2b =

2a + 3b + 2b + 5a =

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Multiplying
Expanding brackets

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On a sticky note write
1. + OR -
2. a number
3. the letter a, b OR c.
e.g + 2a, - 3b, OR + 123c

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Collecting and adding like terms