The purpose of the 7 Folder Cards

 

The purpose of the 7 folder cards is to endorse several strategies, 3 with addition and subtraction (count on, doubling, use ten; count back, half, use ten) and 4 with multiplication and division (building up/building down, doubling/halving, real world and use ten. By using cards, children have the visual display mental strategies. This is because addition and subtraction is one of the first strategies children should learn and apply. While on the other hand the cards are portraying mental strategies so the children have to figure out the answer using them.
 

Strand and sub-strand

In regards to ACARA “Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts developing a range of mental strategies for addition and subtraction problems” (ACMNA015).  This reference is found in the Number and Algebra section for grade one.

Content description

Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts

Elaborations

Developing a range of mental strategies for addition and subtraction problems

 

With regards to multiplication and division:
 

Strand and sub-strand
 Content description is “Recognise and represent multiplication as repeated addition, groups and arrays” (ACMNA031).  This is as the pictures shown are a full figure, and there are none left over or little parts of pictures missing. The reference for this is found in the number and algebra section for grade two.
Content description

Recognise and represent multiplication as repeated addition, groups and arrays

Elaborations

• representing array problems with available materials and explaining reasoning

• visualising a group of objects as a unit and using this to calculate the number of objects in several identical groups
  
   

Count On/Count Back

The count on card is used to count from the number to the correct answer, but only from adding or subtracting to/from with the numbers 1-3. It can also be used in reverse for subtraction to count back where the full card is shown and a segment of numbers is hidden to get the answer. This goes with card number 2 as it is 3 count on 1 which equals 4. Or the opposite is 4 count back 1 is 3.
 

Doubling/Halving

The doubling card is used to double the number, for example double six is twelve, where as on the other hand the answer is 12, when it’s halved the answer is 6. This is card 1 in the resources. This card can be used for doubling or halving the same number, eg 4+4, 7+7 or 9+9. As doubling is part of the two times tables, students learn this as a concept of addition in foundation, subtraction in grade 1, multiplication in grade 2 and division in grade 3.
 

Use 10

The use ten card is used to add up to or subtract numbers close to 10 either 8 and 9 for addition or 11 and 12 for subtraction. For example 11-1=10. • The ACMNA030 reference elaborates on why 10 is used as a strategy in the 2nd year curriculum  “becoming fluent with a range of mental strategies for addition and subtraction problems, such as commutatively for addition, building to 10, doubles, 10 facts and adding 10”. This is one of the last strategies taught as it requires being able to count effectively  and have a sound understanding of number values.

 

Building Up/Down

The number clusters used are the 3's, 6's and 9's. Building up is using a strategy that engages prior knowledge of a number fact, eg 3x4=20. If they know that 4x4 is 16, then they can work out that 4x5 is 10, which is equivilant to (4x4)+5. They use the concept of multiplication is repeated addition, therefore by adding 5 to 20 the answer of 5x5 is 25. Building down works within the same way of using a larger answer ey 5x5= 25 to work out a lower problem eg 5x4 because division is the concept  is breaking a number up into equal parts.

This would be one of the last strategies taught as it requires past knowledge of other number facts.
 

Real World

The real world card is for modelling real life multiplication or division. This is done with numbers that are multiplied or divided by one or zero. In this case the card linked to this strategy is card 7. It shows one lady bug to stand for 1x1 or 1/1, this is because the answer either way is one.

This is one of the first strategies taught after the tens because of the simplicity as the answer is always the other number other than one. According to ACARA, multiplication is taught in grade .

Using 1 of the 7 Folder Cards to facilitate learning

 

Turn Arounds

This is used for the 7's number facts.This is when prior knowledge of multiplication facts is engaged in the learning experience. For example 3x7 is the same as 7x3. Children can either learn a strategy to help them get the answer such as (5x7)+(2x7) = 35+14=49 or they can just learn 7x7=49 by route.

 

 

Using 1 of the 7 Folder Cards to facilitate learning

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