Mathematics – United Kingdom – National Curriculum
Year 2 programme of study
KS1.Y2.N.NPV – Number - number and place value
Pupils should be taught to:
KS1.Y2.N.NPV.1 – Count in steps of 2, 3, and 5 from 0, and in 10s from any number, forward and backward
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9 learning outcomes – click to view
Samples: Two more than. Adding 2 (number line). Adding 10. Adding on 10 using blocks. Adding multiples of 10 using blocks.
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Two more than
- Activities: 3 course, 5 extra
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Adding 2 (number line)
- Activities: 2 course, 0 extra
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Adding 10 (to two digits)
- Activities: 4 course, 14 extra
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Adding on 10 using blocks
- Activities: 2 course, 0 extra
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Adding multiples of 10 using blocks
- Activities: 2 course, 0 extra
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Number patterns and groups (of 3)
- Activities: 3 course, 1 extra
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Adding 2 more - numbers to 20 (Skill 6)
- Activities: 5 course, 7 extra
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Adding on to 5 (Skill 8)
- Activities: 5 course, 7 extra
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Adding on to 10 (Skill 9)
- Activities: 6 course, 7 extra
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9 learning outcomes – click to view
KS1.Y2.N.NPV.2 – Recognise the place value of each digit in a two-digit number (10s, 1s)
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2 learning outcomes – click to view
Samples: Place Values. Place Values teens: counting 15 sticks. Place Values. Place value concepts (bundled sticks).
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Numbers represented using MAB (up to 100)
- Activities: 3 course, 2 extra
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Place value concepts (bundled sticks)
- Activities: 2 course, 1 extra
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2 learning outcomes – click to view
KS1.Y2.N.NPV.3 – Identify, represent and estimate numbers using different representations, including the number line
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7 learning outcomes – click to view
Samples: Odd or Even amounts. Even numbers to 20 - equations. Place Value Teens Mab using blocks to count.
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Odd or Even amounts
- Activities: 1 course, 0 extra
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Choosing the correct equation
- Activities: 1 course, 0 extra
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Place value (11-20)
- Activities: 2 course, 0 extra
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Counting to 20 using cubes
- Activities: 1 course, 0 extra
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Counting to 30 using cubes
- Activities: 1 course, 0 extra
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Counting to 100 on a number line
- Activities: 3 course, 2 extra
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Combining the number of dots (Skill 7)
- Activities: 5 course, 8 extra
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7 learning outcomes – click to view
KS1.Y2.N.NPV.4 – Compare and order numbers from 0 up to 100; use <, > and = signs
KS1.Y2.N.NPV.5 – Read and write numbers to at least 100 in numerals and in words
KS1.Y2.N.NPV.6 – Use place value and number facts to solve problems
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1 learning outcomes – click to view
Samples: Counting in tens and ones. Place value 100. Place value 100 concepts. Place value 100 - concepts Answer sheet.
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Counting in tens and ones
- Activities: 2 course, 2 extra
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1 learning outcomes – click to view
KS1.Y2.N.AS – Number - addition and subtraction
Pupils should be taught to:
KS1.Y2.N.AS.1 – Solve problems with addition and subtraction:
KS1.Y2.N.AS.1.a: using concrete objects and pictorial representations, including those involving numbers, quantities and measures
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3 learning outcomes – click to view
Samples: Make 10 (problem solving). Adding single digit numbers (problem solving).
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Make 10 (problem solving)
- Activities: 2 course, 2 extra
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Adding single digit numbers (problem solving)
- Activities: 2 course, 8 extra
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Subtracting single digits from up to 20 (problem solving)
- Activities: 2 course, 7 extra
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3 learning outcomes – click to view
KS1.Y2.N.AS.1.b: applying their increasing knowledge of mental and written methods
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17 learning outcomes – click to view
Samples: Adding two digit numbers (look for 10). Adding two digit numbers. Add three numbers - each under 6.
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Adding two digit numbers (look for 10)
- Activities: 2 course, 0 extra
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Adding two digit numbers
- Activities: 2 course, 1 extra
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Adding 3 numbers - each less than 6 (Skill 15)
- Activities: 5 course, 7 extra
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Adding single digit numbers (Skill 16)
- Activities: 6 course, 7 extra
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Adding on - single digit addition (Skill 18)
- Activities: 5 course, 1 extra
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Single digit subtraction (Skill 19)
- Activities: 6 course, 7 extra
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Make 20 (Skill 20)
- Activities: 5 course, 7 extra
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Single digit subtraction up to 20 (Skill 21)
- Activities: 4 course, 7 extra
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Adding on 10 (Skill 22)
- Activities: 5 course, 7 extra
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Adding on 20 (Skill 23)
- Activities: 5 course, 7 extra
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Adding on 30 (Skill 24)
- Activities: 4 course, 7 extra
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Adding on 40 (Skill 25)
- Activities: 4 course, 7 extra
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Adding on 50 (Skill 26)
- Activities: 4 course, 7 extra
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Subtract 20 (Skill 28)
- Activities: 5 course, 7 extra
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Adding 3 single digit numbers (Skill 32)
- Activities: 5 course, 7 extra
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Adding on multiples of 10 (Skill 33)
- Activities: 4 course, 7 extra
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Subtracting multiples of 10 from numbers (Skill 34)
- Activities: 6 course, 7 extra
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17 learning outcomes – click to view
KS1.Y2.N.AS.2 – Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
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4 learning outcomes – click to view
Samples: Adding multiples of 10 using blocks. Adding single digit numbers. Adding multiples of 10. Subtracting from 100.
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Adding multiples of 10 using blocks
- Activities: 2 course, 0 extra
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Adding single digits (matching answers)
- Activities: 3 course, 1 extra
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Adding multiples of 10
- Activities: 2 course, 4 extra
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Subtracting from 100
- Activities: 5 course, 5 extra
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4 learning outcomes – click to view
KS1.Y2.N.AS.3 – Add and subtract numbers using concrete objects, pictorial representations, and mentally, including:
KS1.Y2.N.AS.3.a: a two-digit number and 1s
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4 learning outcomes – click to view
Samples: Adding on single digit numbers using blocks. Single digit subtraction (missing number).
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Adding on single digit numbers using blocks
- Activities: 1 course, 0 extra
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Single digit subtraction (missing number)
- Activities: 3 course, 7 extra
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Adding on (numbers under 10)
- Activities: 3 course, 14 extra
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Subtracting single digit numbers
- Activities: 4 course, 12 extra
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4 learning outcomes – click to view
KS1.Y2.N.AS.3.b: a two-digit number and 10s
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8 learning outcomes – click to view
Samples: Adding 10. Adding on 10 using blocks. Adding multiples of 10 using blocks. Adding multiples of 10.
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Adding 10 (to two digits)
- Activities: 4 course, 14 extra
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Adding on 10 using blocks
- Activities: 2 course, 0 extra
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Adding multiples of 10 using blocks
- Activities: 2 course, 0 extra
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Adding multiples of 10
- Activities: 3 course, 4 extra
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Subtracting 10 using blocks
- Activities: 1 course, 0 extra
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Subtracting multiples of 10 using blocks
- Activities: 1 course, 0 extra
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Subtracting 10
- Activities: 5 course, 11 extra
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Subtracting multiples of 10
- Activities: 3 course, 5 extra
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8 learning outcomes – click to view
KS1.Y2.N.AS.3.c: 2 two-digit numbers
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6 learning outcomes – click to view
Samples: Adding two digit numbers using blocks. Adding on (numbers under 10). Adding two digit numbers (look for 10).
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Adding two digit numbers using blocks
- Activities: 1 course, 0 extra
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Adding on (numbers under 10)
- Activities: 3 course, 14 extra
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Adding two digit numbers (look for 10)
- Activities: 2 course, 0 extra
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Adding two digit numbers
- Activities: 2 course, 1 extra
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Adding two digit numbers (problem solving)
- Activities: 6 course, 12 extra
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Challenge Puzzle - Addition Pyramid
- Activities: 1 course, 0 extra
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6 learning outcomes – click to view
KS1.Y2.N.AS.3.d: adding 3 one-digit numbers
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2 learning outcomes – click to view
Samples: Adding three single digit numbers. Adding three numbers (small numbers). Adding three single digit numbers.
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Adding three numbers
- Activities: 4 course, 3 extra
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Adding three numbers (small numbers)
- Activities: 3 course, 11 extra
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2 learning outcomes – click to view
KS1.Y2.N.AS.4 – Show that addition of 2 numbers can be done in any order (commutative) and subtraction of 1 number from another cannot
KS1.Y2.N.AS.5 – Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems
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3 learning outcomes – click to view
Samples: Single digit addition (missing number). Single digit subtraction (missing number).
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Single digit addition (missing number)
- Activities: 5 course, 10 extra
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Single digit subtraction (missing number)
- Activities: 3 course, 7 extra
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Explain addition and subtraction by drawing
- Activities: 1 course, 0 extra
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3 learning outcomes – click to view
KS1.Y2.N.MD – Number - multiplication and division
Pupils should be taught to:
KS1.Y2.N.MD.1 – Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers
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4 learning outcomes – click to view
Samples: Groups of 2. Groups of 5. Groups of 10. Dividing by 2. Learning 2x tables. Learning 5x tables. Learning 10x tables.
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2x tables
- Activities: 12 course, 6 extra
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5x tables
- Activities: 9 course, 7 extra
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10x tables
- Activities: 9 course, 6 extra
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Dividing by 2
- Activities: 4 course, 1 extra
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4 learning outcomes – click to view
KS1.Y2.N.MD.2 – Calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs
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3 learning outcomes – click to view
Samples: Learning 2x tables. Learning 5x tables. Learning 10x tables. Two times tables (2x). Five times tables (5x).
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2x times tables (Skill 35)
- Activities: 5 course, 7 extra
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5x times tables (Skill 36)
- Activities: 5 course, 7 extra
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10x times tables (Skill 37)
- Activities: 5 course, 7 extra
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3 learning outcomes – click to view
KS1.Y2.N.MD.3 – Show that multiplication of 2 numbers can be done in any order (commutative) and division of 1 number by another cannot
KS1.Y2.N.MD.4 – Solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts
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4 learning outcomes – click to view
Samples: 2x tables (problem solving). 5x tables (problem solving). 10x tables (problem solving). Using the division symbol.
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2x tables (problem solving)
- Activities: 2 course, 7 extra
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5x tables (problem solving)
- Activities: 2 course, 6 extra
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10x tables (problem solving)
- Activities: 2 course, 6 extra
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Using the division symbol
- Activities: 3 course, 0 extra
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4 learning outcomes – click to view
KS1.Y2.N.F – Number - fractions
Pupils should be taught to:
KS1.Y2.N.F.1 – Recognise, find, name and write fractions â…“ , ¼ , 2/4 and ¾ of a length, shape, set of objects or quantity
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4 learning outcomes – click to view
Samples: Introduction to Fractions. Identifying Fractions. Identifying mixed fractions. Fractions on a number line.
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Halves, thirds and quarters
- Activities: 2 course, 1 extra
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Identifying fractions
- Activities: 4 course, 4 extra
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Identifying mixed fractions
- Activities: 1 course, 0 extra
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Fractions on a number line.
- Activities: 3 course, 1 extra
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4 learning outcomes – click to view
KS1.Y2.N.F.2 – Write simple fractions, for example ½ of 6 = 3 and recognise the equivalence of 2/4 and ½
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2 learning outcomes – click to view
Samples: Representing fractions. Equivalent Fractions. Matching equivalent fractions using fraction models.
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Fractions (problem solving)
- Activities: 1 course, 0 extra
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Matching equivalent fractions using fraction models
- Activities: 2 course, 0 extra
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2 learning outcomes – click to view
KS1.Y2.M – Measurement
Pupils should be taught to:
KS1.Y2.M.1 – Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels
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6 learning outcomes – click to view
Samples: Units Of Measure Metric. Devices for Measuring Length. Measuring mass using the kilogram (kg).
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Which measuring device?
- Activities: 2 course, 0 extra
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Using the appropriate tools for measuring length
- Activities: 3 course, 0 extra
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Measure mass in grams and kilograms
- Activities: 3 course, 14 extra
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Measure volume using litres and milliltres
- Activities: 1 course, 2 extra
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6 learning outcomes – click to view
KS1.Y2.M.2 – Compare and order lengths, mass, volume/capacity and record the results using >, < and =
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4 learning outcomes – click to view
Samples: Order or compare objects or shapes based on informal measurements. Compare length - graph.
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Order objects based on length.
- Activities: 1 course, 0 extra
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Compare length - Graph
- Activities: 1 course, 0 extra
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Compare or measure volume measured using informal units
- Activities: 1 course, 10 extra
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Compare mass using a balance scale
- Activities: 4 course, 2 extra
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4 learning outcomes – click to view
KS1.Y2.M.3 – Recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value
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1 learning outcomes – click to view
Samples: Comparing and Counting Money. What's the Total Amount. AU Comparing & Counting Money (Coins).
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Comparing and counting coins
- Activities: 1 course, 2 extra
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1 learning outcomes – click to view
KS1.Y2.M.4 – Find different combinations of coins that equal the same amounts of money
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2 learning outcomes – click to view
Samples: Represent money in multiple ways. Making equal amounts.
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Represent money in multiple ways
- Activities: 1 course, 0 extra
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Making equal amounts
- Activities: 1 course, 0 extra
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2 learning outcomes – click to view
KS1.Y2.M.5 – Solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change
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3 learning outcomes – click to view
Samples: Earning Pocket Money. Saving Money. Identifying goods and services. Pocket Money. Saving Money.
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Earning Pocket Money
- Activities: 1 course, 1 extra
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Saving money
- Activities: 1 course, 1 extra
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Good and Services
- Activities: 2 course, 1 extra
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3 learning outcomes – click to view
KS1.Y2.M.6 – Compare and sequence intervals of time
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2 learning outcomes – click to view
Samples: Estimate the duration of time. Reading the time on a clock. Estimate time units (seconds, minutes, hours).
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Most likely duration for an event
- Activities: 1 course, 2 extra
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Telling the time on an analog clock - o'clock
- Activities: 3 course, 7 extra
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2 learning outcomes – click to view
KS1.Y2.M.7 – Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times
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2 learning outcomes – click to view
Samples: Telling the time on an analog clock - quarter to and past. Reading digital time.
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Telling the time on an analog clock - quarter to and past
- Activities: 2 course, 8 extra
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Tell the time: 5 minute intervals
- Activities: 8 course, 2 extra
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2 learning outcomes – click to view
KS1.Y2.M.8 – Know the number of minutes in an hour and the number of hours in a day
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1 learning outcomes – click to view
Samples: Reading Five Minute Intervals. Reading Time - to the minute. Tell time to the minute: Activity 2. Telling the time.
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Reading Time - to the minute
- Activities: 2 course, 9 extra
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1 learning outcomes – click to view
KS1.Y2.G.PS – Geometry - properties of shapes
Pupils should be taught to:
KS1.Y2.G.PS.1 – Identify and describe the properties of 2-D shapes, including the number of sides, and line symmetry in a vertical line
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2 learning outcomes – click to view
Samples: Matching shapes. Dividing shapes.
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Shapes Match
- Activities: 1 course, 0 extra
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Dividing shapes
- Activities: 1 course, 0 extra
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2 learning outcomes – click to view
KS1.Y2.G.PS.2 – Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces
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2 learning outcomes – click to view
Samples: Joining 3D objects to make composite objects. Features of three-dimensional objects.
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Joining 3D objects to make composite objects
- Activities: 1 course, 0 extra
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Describe the features of three-dimensional objects
- Activities: 4 course, 8 extra
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2 learning outcomes – click to view
KS1.Y2.G.PS.3 – Identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]
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1 learning outcomes – click to view
Samples: Three dimensional objects - front, side and top view. Drawing 3D Objects.
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Three-dimensional objects (top, side and front view)
- Activities: 1 course, 3 extra
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1 learning outcomes – click to view
KS1.Y2.G.PS.4 – Compare and sort common 2-D and 3-D shapes and everyday objects
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2 learning outcomes – click to view
Samples: Sorting two-dimensional shapes. Predicting the movement of objects -roll/slide.
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Sorting two-dimensional shapes
- Activities: 3 course, 5 extra
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Classify and sort three-dimensional objects
- Activities: 2 course, 7 extra
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2 learning outcomes – click to view
KS1.Y2.G.PD – Geometry - position and direction
Pupils should be taught to:
KS1.Y2.G.PD.1 – Order and arrange combinations of mathematical objects in patterns and sequences
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1 learning outcomes – click to view
Samples: Repeating patterns. Continue image patterns. Recognizing and continuing shape patterns.
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Continue patterns created with objects
- Activities: 2 course, 5 extra
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1 learning outcomes – click to view
KS1.Y2.G.PD.2 – Use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise)
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4 learning outcomes – click to view
Samples: Follow directions to locations. Describe movement using positional language. Give directions to reach a location.
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Follow directions to locations
- Activities: 1 course, 0 extra
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Describe movement using positional language
- Activities: 1 course, 0 extra
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Give directions to reach a location
- Activities: 1 course, 0 extra
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Identify and describe half and quarter turns
- Activities: 2 course, 2 extra
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4 learning outcomes – click to view
KS1.Y2.S – Statistics
Pupils should be taught to:
KS1.Y2.S.1 – Interpret and construct simple pictograms, tally charts, block diagrams and tables
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2 learning outcomes – click to view
Samples: Data - tally marks. Interpreting Column Graphs - 3. Data - tally marks: Activity 2.
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Interpret data presented with tally marks
- Activities: 2 course, 2 extra
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Interpret data presented using simple column graphs
- Activities: 1 course, 12 extra
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2 learning outcomes – click to view
KS1.Y2.S.2 – Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity
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2 learning outcomes – click to view
Samples: Using simple questions to gather data. Interpret data as drawings. Using simple questions to gather data.
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Choose simple questions to gather responses
- Activities: 2 course, 0 extra
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Interpret data presented using drawings and symbols
- Activities: 2 course, 2 extra
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2 learning outcomes – click to view
KS1.Y2.S.3 – Ask-and-answer questions about totalling and comparing categorical data
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2 learning outcomes – click to view
Samples: Data in tables: Activity 1. Interpret data in lists. Data in tables: Activity 2. Display data in a table.
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Interpret data presented in a table
- Activities: 2 course, 3 extra
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Interpret data presented in lists
- Activities: 1 course, 0 extra
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2 learning outcomes – click to view