Mental Maths skills and resources
Multiplication using the Split Strategy
Automatically recall multiplication tables to 10x10. Automatically calculate multiplications beyond 10x10 by multiplying numbers in parts.
Eg. 312x6=? This can be thought of as 300x6 + 10x6 + 2x6 = 1800+60+12 = 1872
Split Strategy Game
Roll a die twice to make a 2-digit number. Roll a third time to create a multiplying number. Use the split strategy to multiply quickly in your head. For a challenge, roll the die to make a 3 or 4-digit number and calculate the multiplication.
Associative Law
When adding or multiplying, you can rearrange the numbers in a different order, so that
(a+b)+c = a+(b+c) and (axb)xc = ax(bxc). Eg. (6+3)+4 = 6+(3+4) and (2x4)x3 = 2x(4x3).
The associative law does NOT work for subtraction or division.
https://www.mathsisfun.com/associative-commutative-distributive.html
Distributive Law
When adding, subtracting or multiplying, numbers can be ‘distributed’ across so that ax(b+c) = axb+axc. Eg. 3x(2+4) = 3x2+3x4. 3 lots of (2+4) is the same as 3 lots of 2, plus 3 lots of 4, so the 3x can be ‘distributed’ across the 2+4, into 3x2 and 3x4. This can be extended to larger numbers. Eg. 6x204 becomes 6x200+6x4 = 1200+24 = 1224. The distributive law does NOT work for division.
https://www.mathsisfun.com/associative-commutative-distributive.html
Square Numbers
Automatically recall square numbers Eg. 1x1=1, 2x2=4, 3x3=9, 4x4=16
https://www.mathsisfun.com/definitions/square-number.html
http://www.topmarks.co.uk/maths-games/hit-the-button
Highest Common Factor
Recognise and articulate the association between multiplication and division. Automatically calculate the highest common factor of 2 numbers (the highest number that divides exactly into two or more numbers). Eg. Highest common factor of 12 and 16? The factors of 12 are: 1,2,3,4,6,12. The factors of 16 are: 1,2,4,8,16. The common factors of each are: 1,2,4 so 4 is the highest common factor.
https://www.mathsisfun.com/greatest-common-factor.html
Lowest Common Multiple
Automatically calculate the lowest common multiple of 2 numbers (the smallest positive number that is a multiple of two or more numbers). Eg. Least common multiple of 3 and 5? The multiples of 3 are: 3,6,9,12,15,18 and the multiples of 5 are: 5,10,15,20. 15 is a common multiple of 3 and 5, and is the smallest (least) common multiple.
https://www.mathsisfun.com/least-common-multiple.html
Equivalence
Automatically recall common equivalent rates expressed as fractions, decimals and percentages. Eg. 10/100 = 0.1 = 10%; 25/100 = 0.25 = 25%; 50/100 = 50%; 75/100 = 0.75 = 75%; 100/100 = 1.0 = 100%
Fractions
Automatically convert a given fraction to an equivalent fraction using related denominators. For instance, 1/6 = ?/12
http://www.mathsisfun.com/equivalent_fractions.html
Automatically recall multiplication tables to 10x10. Automatically calculate multiplications beyond 10x10 by multiplying numbers in parts.
Eg. 312x6=? This can be thought of as 300x6 + 10x6 + 2x6 = 1800+60+12 = 1872
Split Strategy Game
Roll a die twice to make a 2-digit number. Roll a third time to create a multiplying number. Use the split strategy to multiply quickly in your head. For a challenge, roll the die to make a 3 or 4-digit number and calculate the multiplication.
Associative Law
When adding or multiplying, you can rearrange the numbers in a different order, so that
(a+b)+c = a+(b+c) and (axb)xc = ax(bxc). Eg. (6+3)+4 = 6+(3+4) and (2x4)x3 = 2x(4x3).
The associative law does NOT work for subtraction or division.
https://www.mathsisfun.com/associative-commutative-distributive.html
Distributive Law
When adding, subtracting or multiplying, numbers can be ‘distributed’ across so that ax(b+c) = axb+axc. Eg. 3x(2+4) = 3x2+3x4. 3 lots of (2+4) is the same as 3 lots of 2, plus 3 lots of 4, so the 3x can be ‘distributed’ across the 2+4, into 3x2 and 3x4. This can be extended to larger numbers. Eg. 6x204 becomes 6x200+6x4 = 1200+24 = 1224. The distributive law does NOT work for division.
https://www.mathsisfun.com/associative-commutative-distributive.html
Square Numbers
Automatically recall square numbers Eg. 1x1=1, 2x2=4, 3x3=9, 4x4=16
https://www.mathsisfun.com/definitions/square-number.html
http://www.topmarks.co.uk/maths-games/hit-the-button
Highest Common Factor
Recognise and articulate the association between multiplication and division. Automatically calculate the highest common factor of 2 numbers (the highest number that divides exactly into two or more numbers). Eg. Highest common factor of 12 and 16? The factors of 12 are: 1,2,3,4,6,12. The factors of 16 are: 1,2,4,8,16. The common factors of each are: 1,2,4 so 4 is the highest common factor.
https://www.mathsisfun.com/greatest-common-factor.html
Lowest Common Multiple
Automatically calculate the lowest common multiple of 2 numbers (the smallest positive number that is a multiple of two or more numbers). Eg. Least common multiple of 3 and 5? The multiples of 3 are: 3,6,9,12,15,18 and the multiples of 5 are: 5,10,15,20. 15 is a common multiple of 3 and 5, and is the smallest (least) common multiple.
https://www.mathsisfun.com/least-common-multiple.html
Equivalence
Automatically recall common equivalent rates expressed as fractions, decimals and percentages. Eg. 10/100 = 0.1 = 10%; 25/100 = 0.25 = 25%; 50/100 = 50%; 75/100 = 0.75 = 75%; 100/100 = 1.0 = 100%
Fractions
Automatically convert a given fraction to an equivalent fraction using related denominators. For instance, 1/6 = ?/12
http://www.mathsisfun.com/equivalent_fractions.html
Links for resources that can be used at home
FOR PARENTS
201 Literacy and Maths tips to help your child
Parents Count Too – How to assist your child with Maths
MATHS
BBC Maths for Lower Primary
BBC Maths for Upper Primary
Cool Maths 4 Kids
Woodlands Maths Zone
Maths by email (Upper Primary)
LITERACY
Reading Eggs & Reading Eggspress
BBC Literacy for Lower Primary
BBC Literacy for Upper Primary
Woodlands Literacy Zone
SCIENCE
Science Kids
Wonderville
National Geographic for Kids
Bitesize Science
CYBER SAFETY & ANTI-BULLYING
Bully Stoppers
ESafety for Parents
ESafety for Children
GENERAL
ABC SPLASH
ABC Splash is a fantastic educational website for Australia, packed with 100's of videos, audio clips and games. Totally free to watch and play at home and in school.
201 Literacy and Maths tips to help your child
Parents Count Too – How to assist your child with Maths
MATHS
BBC Maths for Lower Primary
BBC Maths for Upper Primary
Cool Maths 4 Kids
Woodlands Maths Zone
Maths by email (Upper Primary)
LITERACY
Reading Eggs & Reading Eggspress
BBC Literacy for Lower Primary
BBC Literacy for Upper Primary
Woodlands Literacy Zone
SCIENCE
Science Kids
Wonderville
National Geographic for Kids
Bitesize Science
CYBER SAFETY & ANTI-BULLYING
Bully Stoppers
ESafety for Parents
ESafety for Children
GENERAL
ABC SPLASH
ABC Splash is a fantastic educational website for Australia, packed with 100's of videos, audio clips and games. Totally free to watch and play at home and in school.