This is part one of two parts. Here we just look at numeracy activities that relate to Number strategies. This includes:
 Additive strategies
 Multiplicative strategies
 Proportional reasoning strategies
You can find numeracy activities that relate to Number Knowledge on a different page.
You may already have downloaded this resource. If you haven’t and you want to click the link below:
These resources are filled with activities and ideas that you can use or adapt. But navigating them can be tricky. So we designed a cheat sheet.
Cheat Sheet for Number Strategies Activities
Here’s how to use it. Just look down the list at the second column. This tells you in one sentence what learners actually have to do in the activity.
From there, you can look at the name of the activity, find the page number in the resource, and see which progressions it lines up with.
Things to remember:
 Most activities cut across multiple progressions. This is fine. Just make sure you know what your focus is. Refer back to your learning outcomes.
 These numeracy activities are specific to certain steps. Make sure that you know what step your learners are at first.
 Not all the activities will be useful to you and your situation. If you do decide to take the time to look through these, you might want to rate them for yourself. In other words, can you use this?
 You don’t have to use these. If you have your own ideas then go with that. But remember, if you need inspiration or want to look at activities that were written by experts then look here.
You can download the cheat sheets for all three strategy progressions as a single PDF below or just read on.
Additive Strategies Activity Cheat Sheet
Activity  What do learners do?  Additive strategies  Where do I find it?  Can I use it? Rate: ✓ ? ✗ 
Counting on and back  Count on in ones to solve problems; Learn that you don’t have to start at number one  Step 2  P. 19  
Addition and subtraction strategies I  Use number lines to develop addition and subtraction partitioning strategies for twodigit by onedigit problems  Step 3  P. 22  
Addition and subtraction strategies II  Use number lines to develop addition and subtraction partitioning strategies for multidigit problems  Step 4  P. 25  
Adding decimals  Use strategies, traditional written methods and calculators to solve addition problems using decimals.  Step 5  P. 28  
Subtracting decimals  Use strategies, traditional written methods and calculators to solve subtraction problems using decimals.  Step 5  P. 30 
Multiplicative Strategies Activity Cheat Sheet
Activity 
What do learners do? 
Multiplicative strategies 
Where do I find it? 
Can I use it?

Skip counting  Skip count in twos, threes, fives to solve simple problems; Begin to learn the 2, 3, and 5 times tables.  Step 2  P. 32  
Understanding multiplication  Identify unknown multiplication facts; Use known facts to develop recall of unknown facts  Step 3  P. 35  
Deriving multiplication and division facts  Use already known facts to derive and extend knowledge of multiplication facts they need for quick recall  Step 3  P. 37  
Multiplication strategies  Develop mental strategies for solving multiplication problems with singledigit multipliers  Step 4  P. 39  
Division strategies  Develop mental strategies for solving division problems with singledigit divisors  Step 4  P. 41  
Multiplying options  Use strategies, traditional written methods and calculators to solve multiplication problems.  Step 5  P. 43  
Dividing options  Use strategies, traditional written methods and calculators to solve division problems.  Step 5  P. 46  
Multiplying with decimals  Use estimation strategies and calculators to solve multiplication problems using decimals  Step 6  P. 49  
Dividing with decimals  Use estimation strategies and calculators to solve division problems using decimals  Step 6  P. 51 
Proportional Reasoning Strategies Activity Cheat Sheet
Activity 
What do learners do? 
Proportional reasoning strategies 
Where do I find it? 
Can I use it?

Ratios I  Develop an understanding of simple ratios; learn to identify ratios for given quantities and vice versa  Step 4  P. 53  
Fractions of numbers I  Develop an understanding of how to find a fraction of a whole number where the answer is also a whole number  Step 4  P. 55  
Ratios II  Develop an understanding of more complex ratios  Step 5  P. 58  
Fractions of numbers II  Develop an understanding of how to find a fraction of a whole number where the answer is also a fraction  Step 5  P. 61  
Rates and proportions  Apply understanding of ratios to rates and proportions  Step 6  P. 64 
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