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Mental Math Strategies Year 2 {What To Teach!}

Mental Math Strategies Year 2 {What To Teach!}

If you’re looking for Mental Math Strategies (year 2) then you’re on the right page. Here you will find what Mental strategies you need to teach and the hands on activities to make learning fun for your kids! 

Teaching mental maths is all about helping your students to do everyday maths in their heads.

For students to be successful and confident at doing maths mentally, they need to be explicitly taught a range of mental math strategies and encouraged to use the different strategies to solve the right problem in an efficient manner. 

Year 2 Mental Maths Strategies will help students solve maths problems quickly and easily using strategies that will make tricky maths more manageable. 

An effective Mental Math program will encourage students to:

  1. Select & use appropriate strategies for the situation
  2. Work quickly, flexibly & confidently
  3. Use mental strategies as a way to solve mathematical problems
  4. Know that they don’t have to be the quickest, to be able to do mental maths, as they may be reluctant to try to do calculations in their head.

Principles Of Mental Math Programs

Mental calculation should be automatic, fast & accurate.

But to get to this stage involves countless opportunities to experiment, explore & manipulate multi step processes.

Mental maths is a multi-step, “in the hea”, process, involving many fragments, bits & parts of information to hold, remember, & come back to.

The best mental strategies help us to hold onto the steps of the calculation in our head as we go along. And the best mental maths program involves explicit teaching, thinking about thinking, (metacognition) & discussion of the best strategy for the job.

Without this process, mental maths programs become a memory exercise & and just another procedure to remember. In short POINTLESS!

Mental Math Programs For Year 2 Students

A good mental maths program for Year 2 students, in fact all year levels, must include some key elements according to Mental Strategies research by The National Strategies.

In this research it is made very clear that  a 5 minute quick fire of times tables facts, or a speed test in NOT a mental Math program!

Research suggests that Teaching Mental Math needs:

  • A regular time slot
  • Explicitly taught strategies for ALL 4 Operations: addition, subtraction, multiplication, division
  • To include teaching special features, properties & laws of numbers
  • Be hands-on to help students visualise, or “see” the maths for themself and may involve number lines and ten frames
  • Provide time for practice
  • Include written jottings, rather than formal algorithms
  • Engage in discussion and trial and error (mistakes)

This approach will lead to students…

“who are confident in themself and feel in control of calculations rather that the calculation controlling them.”

What Mental Math Strategies Should I Teach Year 2 Students?

So now down to the nitty gritty… What Mental Math Calculation Strategies do you need to cover in Year 2?  

So you may be thinking of a ton of catchy names for strategies, but don’t worry about that, and don’t get bogged down in catchy names. Students will NEVER be asked to name a strategy!

So in our list we have not cited catchy mental math strategy names. There are so many, usually linked to a commercial product, which is what causes a lot of confusion in teaching mental maths.

It’s not the name that’s important, it’s the way the numbers are manipulated that counts. 

By all means use a catchy name, just make sure you include all the techniques in this list…

This is what Year 2 Teachers need to Teach:

 Addition & Subtraction Mental Calculation Skills
  • Counting on/ back  by 1,2,3  –  You don’t need to count everything, you can count on from the first number.
  • Adding 10 – Making numbers friendly means making them easier to work with. It’s easier to add to 10
  • Tens facts – Rainbow Facts – Knowing these means you don’t need to count.
  • Commutative property of addition – e.g. turn-arounds mean you you don’t have to add on from the first number
  • Inverse Relationship of Addition & Subtraction – Also this concept it’s own AC number! ACMNA029
  • Partitioning – e.g. make the number friendly by rearranging the parts, changing the order
  • Doubles – double 3, double 6 – Knowing Doubles means you don’t have to count everything.
  • Near doubles – Knowing a near double means you don’t have to count everything to work it out.
  • Bridging  to ten – How many more to make 10 – e.g. Rainbow Facts
Division & Multiplication Mental Calculation Skills
  • Doubling and halving-  e.g x2   /  ÷2 instead of the addition /subtraction version
  • Skip counting by 2,3,5, 10 (BUT NOT ROTE Times tables Facts!) – You don’t have to count everything one by one!
  • Arrays, repeated addition, 
  • Groups of
Fluency & Recall for Year 2:
  • Number sequence 0-1000 forwards & back
  • Skip counting 2,3,5,10
  • Addition facts to 10
Remember to:
  • Explicitly teach these strategies
  • Let the kids practise the steps involved
  • Discuss if there’s another way, which is the best strategy for the job?
  • Make sure the Kiddos actually use the Strategy to solve problems, and not their favourite technique! Take note of the kids who revert to using an algorithm (sum) or ‘counting on’, to solve, they haven’t got it yet and need more time! Make them do it the way you’re teaching or they’ll never learn a range of strategies! 
  • Allow the use 10 frames & number lines to model the process of the Mental strategy. If they know the answer because they have memorised some facts then use bigger numbers! 
  • Allow pencil & paper jottings, it’s part of the process of learning the strategy, but NOT formal algorithms.
  • Differentiate by moving the kids through solving problems using concrete materials to act out the steps of the strategu to using abstract “doing it in the head” maths. 

We’ve put this in a PDF for you too in our resources below.

Mental Math Addition Strategies

Doubles & Near Doubles Addition to 20 Bingo Game.
there's 9 Full Colour & 9 Low ink versions of these Addition Fact Towers Games. Build Commutative Understanding (Turnarounds), Fact recall of adding 1,2,3 more for numbers 0-12. V2 also available for 13-24.
There's 9 Full Colour & 9 Low ink versions of these Addition Fact Towers Games. Build Commutative Understanding (Turnarounds), Fact recall of adding 1,2,3 more for numbers 13-24. V1 also available for 0-12.
These Doubles Ice Cream Puzzles are a fun way to build the making doubles Strategy. Includes up to Double 50. 50 Differentiated puzzles including ten frames, standard and non standard dot toppings, nnumber sentences with & without answers.
Set up a Doubles Play Tray Math Center with this COOL set of Doubles Scoop Ice Creams. Students make doubles using materials on the ten frames template or the blank template to build fluency of doubles fatc to bouble 50. Also includes a blank template for a Doubles Craft!
Use this set of 9 Counting on Nacho themed Mats with your Kmart erasers or counters. We've created 3 types of boards for +1, +2, +3, one with a number line, one with ten frames and one with just a number sentence. There's also a B&W version of each one too! Great way to learn the Counting on Strategy!
Use this set of 9 Counting on Donut themed Mats with your Kmart erasers or counters. We've created 3 types of boards for +1, +2, +3, one with a number line, one with ten frames and one with just a number sentence. There's also a B&W version of each one too! Great way to learn the Counting on Strategy!
Use this set of 9 Counting on Raibow themed Mats with your Kmart erasers or counters. We've created 3 types of boards for +1, +2, +3, one with a number line, one with ten frames and one with just a number sentence. There's also a B&W version of each one too! Great way to learn the Counting on Strategy!
Use this set of 9 Counting on Monster Truck themed Mats with your Kmart erasers or counters. We've created 3 types of boards for +1, +2, +3, (also shown as finger counting) one with a number line, one with ten frames and one with just a number sentence. There's also a B&W version of each one too! Great way to learn the Counting on Strategy!
A nice intro duction into partitioning numbers. Use plastic coat hangers and two colours of pegs to find the missing numbers. Works for addition & subtraction inverse relationships, How many more? and recall of facts.
Use ten frames & number lines to create addition number facts (Rainbow Facts) for 10, 20, all the way to 100. This pack extend the facts your students already know.
A set of 4 piece popsicle puzzles for addition facts to 10. Students match the number bond, ten frame, Number line and number senstences. Can also be used for part-part whole understanding. Includes a student recording sheet too.
A set of 4 piece popsicle puzzles for addition facts to 11-20. Students match the number bond, ten frame, Number line and number senstences. Can also be used for part-part whole understanding. Includes a student recording sheet too.
Fun 3 Little Pigs Puzzles to build automatic recall of addition facts to 20
Rainbow Facts to 10 Craft Activity Product Image
Rainbow facts Classroom Craft
Rainbow facts Puzzles to 100
Rainbow facts puzzles to 100 for building recall, rote & fluency.

Mental Math Posters

Rainbow Facts Posters 10-100

Counting On

Doubles

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