MATHS WORKSHOP
Welcome!
The aim of this session is to
demonstrate methods and
progressive strategies taught in
Primary education.
ADDITION AND SUBTRACTION
Let’s look at how addition and
subtraction are taught across the
key stages.
ADDITION AND SUBTRACTION
Counters and objects
Vocabulary: How many, altogether, add, take away
E.g. How many teddies are there?
How many bunnies are there?
How many toys are there altogether?
Can I have 1 teddy? How many do you
have now?
The activity will be more practical and verbal.
http://www.iboard.co.uk/iwb/Simple-Addition-Stories-721
ADDITION AND SUBTRACTION
Number line.
Vocabulary: How many jumps, forwards, backward, total, and, altogether,
sum, add, minus, take away, more, less, difference
http://www.hbschool.com/activity/numberline1_5_04/
ADDITION AND SUBTRACTION
100 square grids
Vocabulary: How many jumps, forwards, backward, total, and,
altogether, sum, add, minus, take away, more, less, difference
E.g.
51 + 7 = 58
56 – 9 = 47
Count forward (+)
Count backward (-)
Let’s try
24 + 8 = 32
51 – 9 = 42
24 + 8 =
51 – 9 =
ADDITION AND SUBTRACTION
100 square grids
Vocabulary: How many jumps, forwards, backward, total, and,
altogether, sum, add, minus, take away, more, less, difference
E.g. 51 + 22 = 73
56 – 23 = 33
Partition (tens and unit)
Count up vertically ↑ the grid (-)
Count down vertically ↓ the grid (+)
And then
Count forward (+)
Count backward (-)
Let’s try
55 + 32 = 87
46 – 21 = 25
55 + 32 =
46 – 21 =
ADDITION AND SUBTRACTION
Partition to add
Vocabulary: total, and, altogether, sum, add, minus, take away, more,
less, difference, partition
ADDITION AND SUBTRACTION
Partition to subtract
Vocabulary: total, and, altogether, sum, add, minus, take away, more,
less, difference, partition
ADDITION AND SUBTRACTION
Column addition and subtraction
Vocabulary: Total, and, altogether, sum, add, minus, take away, more,
less, difference, carry forward, borrow, tens, ones, hundreds
E.g.
178 + 42 =
948 - 263
ADDITION AND SUBTRACTION
Column addition and subtraction
Vocabulary: Total, and, altogether, sum, add, minus, take away, more,
less, difference, carry forward, borrow, tens, ones, hundreds
Let’s try
127 + 56 =
463 – 239 =
MULTIPLICATION
Let’s look at how multiplication is
taught across the key stages.
MULTIPLICATION
Objects
Vocabulary: groups of, times, multiply, double, lots of
Let’s count in 2’s to find the total.
MULTIPLICATION
Objects
Vocabulary: groups of, times, multiply, double, lots of, altogether
E.g.
5x3=
(5 lots of 3)
- Take 5 hoops
- Fill each hoop
with 3 cubes
- Count the total
15
http://www.topmarks.co.uk/Flash.aspx?f=sharingv2
MULTIPLICATION
Pictorial representations
Vocabulary: groups of, times, multiply, double, lots of, altogether
E.g.
5x3=
(5 lots of 3)
- Draw 5 circles
- Fill each circle
with 3 lines
- Count the total
15
http://www.topmarks.co.uk/Flash.aspx?f=sharingv2
MULTIPLICATION
Repeated addition
Vocabulary: groups of, times, multiply, double, lots of, altogether
E.g.
5 lots of 3 is
6 lots of 5 is
3 + 3 + 3 + 3 + 3 = 15
5 x 3 = 15
5 + 5 + 5 + 5 + 5 + 5 = 30
6 x 5 = 30
http://www.iboard.co.uk/activity/Multiple-Fish-602
MULTIPLICATION
Times tables
Vocabulary: groups of, times, multiply, double, lots of, altogether
Year 1 – counting in 2’s, 5’s and 10’s
Year 2 – x2, x3, x5, x10
Year 3 – x2, x3, x4, x5, x8, x10
Year 4 – x2, x3, x4, x5, x6, x7, x8, x9, x10
Year 5 & 6 – up to x12
http://resources.woodlands-junior.kent.sch.uk/maths/timestable/interactive.htm
MULTIPLICATION
Times tables
Vocabulary: groups of, times, multiply, double, lots of, altogether
MULTIPLICATION
Grid method
Vocabulary: tens, units, hundreds, thousands, times, add, total
E.g.
612 x 24 =
x
20
4
600
10
2
12000
200
40
2400
40
8
https://www.youtube.com/watch?v=3xDJDFmDrlg
12240
+ 2448
14688
MULTIPLICATION
Grid method
Vocabulary: tens, units, hundreds, thousands, times, add, total
Let’s try
126 x 13
MULTIPLICATION
Column multiplication or Long multiplication
Vocabulary: tens, units, hundreds, thousands, times, add, total
E.g.
61 x 24 =
Let’s try
34 x 13 =
45 x 12 =
http://www.mathsisfun.com/numbers/multiplication-long.html
DIVISION
Let’s look at how division is taught
across the key stages.
DIVISION
Objects
Vocabulary: share, divide, grouping
E.g
Put the cupcakes equally on 2 plates.
DIVISION
Pictorial representations
Vocabulary: share, divide, grouping, equally
E.g
- Draw 2 circles
- Share the cupcakes equally
- Count how many in each circle
Divide the 6 cupcakes equally in 2.
6÷2= 3
DIVISION
Repeated subtraction
Vocabulary: share, divide, grouping, equally
E.G 15 ÷ 3 = 5
15 – 3 – 3 – 3 – 3 – 3 = 0
DIVISION
Repeated subtraction
Vocabulary: share, divide, grouping, equally
18 – 6 – 6 – 6 = 0
Let’s try
→ 18 ÷ 6 = 3
18 ÷ →
6 =21 ÷ 7 = 3
21 ÷ 7 =
21 – 7 – 7 – 7 = 0
DIVISION
Long division
Vocabulary: share, divide, grouping, equally
457 ÷ 3
http://www.mathplayground.com/howto_longdivision.html
http://www.coolmath4kids.com/long-division/long-division-lesson-1.html
DIVISION
Long division
Vocabulary: share, divide, grouping, equally
Let’s try
345 ÷ 5 =
326 ÷ 4 =
http://www.mathplayground.com/howto_longdivision.html
http://www.coolmath4kids.com/long-division/long-division-lesson-1.html
MENTAL MATHS IDEAS
Place value and rounding
What is the value of 6 in 267? (60)
Round 267 to the nearest ten. (270)
Adding and subtracting
What is 30 + 20? (50)
What is 10 less than 67? (57)
Doubling and halving
What is half of 10? (5)
What is double of 6? (12)
Number bonds
Say all the number bonds to 10? (1 and 9, 2 and 8, 3 and 7, 4 and 6 etc)
Say all the number bonds to 20 (1 and 19, 2 and 18, 3 and 17, 4 and 16, 5 and 15 etc)
Say all the number bonds to 100 (10 and 90, 20 and 80, 30 and 70, 40 and 60 etc)
MENTAL MATHS IDEAS
Times table
What is 5 x 6? (30)
What is 8 x 5 (40)
Odd and even
What odd number comes after 35? (37)
Tell me all the even number between 20 and 30 ? (22, 24, 26, 28)
HOW TO TEACH.....
Repeated subtraction as division
http://www.showme.com/sh/?h=F5K2saW
Long division
http://www.mathsisfun.com/numbers/long-division-animation.html
Grid method – multiplication
https://www.youtube.com/watch?v=3xDJDFmDrlg
Long multiplication
http://www.mathsisfun.com/numbers/multiplication-long.html
Dividing fractions
http://www.mathsisfun.com/fractions_division.html
HOW TO TEACH.....
Add using a 100 grid
http://www.tvdsb.ca/webpages/cmacintosh/mathematics.cfm?subpage=179399
Adding and subtracting decimals
http://www.mathsisfun.com/adding-decimals.html
Chunking
http://teachmykids.co.uk/advice_and_tips/teach-ks2-children-division-what-is-the-chunking
method/
http://www.chunkydivision.co.uk/activity/index.htm
All factors of a number
http://www.mathsisfun.com/numbers/factors-all-tool.html
Algebra
http://www.mathsisfun.com/algebra/introduction.html
Fractions
http://www.mathsisfun.com/fractions-menu.html
HOW TO TEACH.....
Ratio
http://www.mathsisfun.com/ratio2.html
Lines of symmetry
http://www.mathsisfun.com/geometry/symmetry-line-plane-shapes.html
Angles
http://www.mathsisfun.com/angles.html
Handling data
http://www.mathsisfun.com/data/index.html
USEFUL WEBSITES
Beginning to add
http://www.iboard.co.uk/iwb/Simple-Addition-Stories-721
Adding and subtraction game
http://v7.k12.com/sample_lessons/activities/images/swfs/building_expressions_final.swf
Four operations
http://resources.oswego.org/games/mathmagician/maths1.html
Times table challenge
http://www.transum.org/Software/Tablesmaster/
Guess my numbers (inverse)
http://www.topmarks.co.uk/Flash.aspx?f=GuessMyNumber
Mental maths
http://www.teachingideas.co.uk/maths/contents_mentalmaths.htm
http://www.compare4kids.co.uk/mental-maths.php
ANY QUESTIONS?