Pownall Green Primary School
Mathematics
Steps to Success
and
Top Tips
Year 3
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Contents
Page
1. Read, write and order whole numbers to at least 1000
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2. Count on or back in tens
3
3. Count on or back in hundreds
3
4. To recognise fractions
3
5. Find fractions of shapes and numbers
4
6. Know by heart all addition and subtraction facts
4
7. Add mentally a near multiple of 10
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8. Subtract mentally a near multiple of 10'
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9. Know by heart the x2 multiplication table
4
10.
Know by heart the x5 multiplication table
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11.
Know by heart the x10 multiplication table
5
12.
To understand division
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13.
Use the right operations to solve word problems
5
14.
Explain methods and reasoning
5
15.
Use £ and p signs
6
16.
Identify lines of symmetry
6
17.
Draw/answer questions about tables/graphs
6
18.
Identify right angles
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19.
To use units of time
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Steps to Success and Top Tips– Year 3
Key Learning Objectives
1. To read, write and order whole numbers to at least 1000 and
know what each digit represents.
Top Tips
• Write the place value columns above each digit
• Put the numbers into groups according to how many digits the
number has. Start with the numbers with the least digits
• Look at the value of each digit
• Put them in order of value
2. To count on or back in tens from any two- or three-digit number.
Top Tips
• Change the digit in the tens column by 1 more or 1 less
e.g. 14, 24, 34, 44 or 57, 47, 37
• Use a 100 square to demonstrate
3. To count on or back in hundreds from any two- or three- digit
number
Top Tips
• Change the digit in the hundreds column by 1 more or 1 less
4. To recognise fractions such as 1/2, 1/3, 1/4, 1/5, 1/10,
Top Tips
•
•
•
•
•
A fraction is a part or share of a whole.
Use context of sharing something of value to child e.g. pizza
Denominator –down at the bottom
Denominator = how many equal parts a whole is divided into
Numerator = how many of the equal parts of the whole there are
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5. To find fractions of shapes and numbers.
Steps to success
Shape
1) Look at the denominator.
2) Divide the shape into that number of EQUAL parts.
3) Look at numerator and shade/colour that number of parts.
Numbers using counters
1) Look at the denominator.
2) Share the counters into that number of EQUAL groups.
3) Look at the numerator and select that many groups.
4) Count how many counters you have in those groups.
6. To know by heart all addition and subtraction facts for each
number to 20
Top Tips
• Link to number bonds to 10 by looking at unit digit first
7. To add mentally a 'near multiple of 10' to a two-digit number
Steps to success – Compensation (rounding and adjusting)
1)
2)
3)
4)
Round the near multiple of 10 (up or down)
Remember how many you had to round up/down by
Add to the two digit number
Adjust the answer, allowing for original rounding
8. To subtract mentally a 'near multiple of 10' from a two-digit
number
Steps to success – Compensation (rounding and adjusting)
1)
2)
3)
4)
Round the near multiple of 10 (up or down)
Remember how many you had to round up/down by
Subtract from the two digit number
Adjust the answer, allowing for original rounding
9. To know by heart the x2 multiplication table
Top Tips
• Count up in 2s
• All answers are even and end in 2, 4, 6, 8 or 0.
• X2 is the same as doubling
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10. To know by heart the x5 multiplication table
Top Tips
• Numbers in the x5 table always end in 5 or 0
11. To know by heart the x10 multiplication table
Top Tips
• Numbers in the x10 table always end in 0
12. To understand division and know that division is the inverse of
multiplication
Top Tips
• Link to multiplication tables e.g. 2 x 3 = 6, 3 x 2 = 6 6 ÷ 2 = 3, 6 ÷
3=2
• Use arrays and circle sets to demonstrate
• Emphasise that multiplying by a whole number makes it greater in
value, dividing makes it lesser in value.
13. To choose and use the right operations to solve word problems
Steps to Success
1.
2.
3.
4.
Read and understand the problem.
Underline key information.
Decide what you need to work out.
Estimate
5. Calculate
6. Answer in a sentence
7. Take time to check your answer
14. To explain methods and reasoning
Top Tips
• Break your method down into clear steps
• Use mathematical language to explain your method
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Shape, Space, Measures and Data Handling – Year 3
Key Learning Objectives
15. To use £ and p signs
Top Tips
• Remember to put the £ BEFORE the number
• Remember that you need 2 digits after the decimal point
• Only use either £ or p but not both
16. To identify lines of symmetry and recognise shapes with no lines
of symmetry
Steps to Success
1) Copy the shape on to paper and cut out
2) Fold the shape to check if both sides fold exactly on top of each
other
OR
1) Put a mirror on the middle of the shape
2) Does the shape look the same in the mirror?
3) If it looks the same, then it is a line of symmetry
Top Tips
• A shape may have more than I line of symmetry
• A line of symmetry is also called a mirror line
17. To draw and answer questions about tables and graphs
Steps to Success
1) Draw the horizontal and vertical axis on the line
2) Mark equal points/numbers on axis on the line
3) Carefully plot points on graph, across first, then up
Top Tips
• When answering questions, read the information carefully and think
about what the graph is showing you.
• Look especially carefully at the scale. Is it going up in 1s, 2s 5s, 10s
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18. To identify right angles
Steps to Success
1) Make a right angle measurer using a corner of a piece of paper
2) Put the measurer over the angle
3) Line up the corner and one edge
4) Check if the other edge lines up with measurer
Top Tips
• Ensure that children know that a right angle is 90 degrees
• Make the link between a right angle, 90 degrees, and ¼ turn
To use units of time (second, minute, hour, day, week, month, year)
Top Tips
• Remember these facts – 365 days/12 months = 1 year
28-31 days = 1 month
7 days = 1 week
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
To know the links between the units of time
Top Tips
• Practise telling the time using digital and analogue clocks
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