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

9 learning outcomes – click to view
Samples: Count on 2  numbers up to 10. Plus two. Counting Forwards By 10. Adding On 10  Blocks as visual cues.

Two More Than
 Activities: 2 course, 1 extra

Plus two
 Activities: 2 course, 0 extra

Add on 10
 Activities: 3 course, 4 extra

Adding On 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Adding On multiples of 10  Blocks as visual cues
 Activities: 1 course, 0 extra

rows and groups of three
 Activities: 5 course, 0 extra

Adding 2 more  numbers to 20 (Skill 6)
 Activities: 5 course, 1 extra

Adding on to 5 (Skill 8)
 Activities: 5 course, 1 extra

Adding on to 10 (Skill 9)
 Activities: 5 course, 1 extra


9 learning outcomes – click to view
KS1.Y2.N.NPV.2 – Recognise the place value of each digit in a twodigit number (10s, 1s)

2 learning outcomes – click to view
Samples: Place Values. Place value adding to 10 using objects. Place value 100  rods.

Place value  tens and ones
 Activities: 2 course, 2 extra

Place value  tens and ones  bundled sticks
 Activities: 3 course, 0 extra


2 learning outcomes – click to view
KS1.Y2.N.NPV.3 – Identify, represent and estimate numbers using different representations, including the number line

7 learning outcomes – click to view
Samples: Odd or Even amounts. Even numbers to 20  equations. Place Value Teens Mab using blocks to count.

Odd or Even amounts
 Activities: 1 course, 0 extra

Even numbers to 20  equations
 Activities: 1 course, 0 extra

Place Value Teens
 Activities: 4 course, 0 extra

Counting to Twenty using Place Value
 Activities: 2 course, 0 extra

Counting to Thirty using Place Value
 Activities: 1 course, 0 extra

Counting to 100 on a number line
 Activities: 3 course, 2 extra

Combining the number of dots (Skill 7)
 Activities: 4 course, 1 extra


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

1 learning outcomes – click to view
Samples: Place value 100. Place value 100 concepts. Place value 100  concepts Answer sheet.

Place value  tens and ones
 Activities: 1 course, 2 extra


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

3 learning outcomes – click to view
Samples: Make 10. Single digit addition: Activity 1. Single digit subtraction. Make 10. Single digit addition: Activity 2.

Make 10  problem solving
 Activities: 2 course, 2 extra

Single digit addition  problem solving
 Activities: 2 course, 5 extra

Single digit subtraction  problem solving
 Activities: 1 course, 4 extra


3 learning outcomes – click to view
KS1.Y2.N.AS.1.b: applying their increasing knowledge of mental and written methods

17 learning outcomes – click to view
Samples: Mental Strategies In Addition. Two digit addition. Add three numbers  each under 6. Add numbers less than 5.

Two digit addition  look for 10
 Activities: 2 course, 0 extra

Two digit addition
 Activities: 1 course, 0 extra

Adding 3 numbers  each less than 6 (Skill 15)
 Activities: 5 course, 1 extra

Adding single digit numbers (Skill 16)
 Activities: 5 course, 1 extra

Adding on  single digit addition (Skill 18)
 Activities: 5 course, 1 extra

Single digit subtraction (Skill 19)
 Activities: 5 course, 1 extra

Make 20 (Skill 20)
 Activities: 5 course, 1 extra

Single digit subtraction up to 20 (Skill 21)
 Activities: 4 course, 1 extra

Adding on 10 (Skill 22)
 Activities: 4 course, 1 extra

Adding on 20 (Skill 23)
 Activities: 4 course, 1 extra

Adding on 30 (Skill 24)
 Activities: 4 course, 1 extra

Adding on 40 (Skill 25)
 Activities: 4 course, 1 extra

Adding on 50 (Skill 26)
 Activities: 4 course, 1 extra

Subtract 20 (Skill 28)
 Activities: 4 course, 1 extra

Adding 3 single digit numbers (Skill 32)
 Activities: 5 course, 1 extra

Adding on multiples of 10 (Skill 33)
 Activities: 4 course, 1 extra

Subtracting multiples of 10 from numbers (Skill 34)
 Activities: 5 course, 1 extra


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

4 learning outcomes – click to view
Samples: Adding On multiples of 10  Blocks as visual cues. Single Digit Addition Match. Add On multiples of 10.

Adding On multiples of 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Single digit addition match
 Activities: 2 course, 0 extra

Add on  Multiples of 10
 Activities: 2 course, 2 extra

Subtract from 100
 Activities: 4 course, 1 extra


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 twodigit number and 1s

4 learning outcomes – click to view
Samples: Place value  'Adding On' single digit numbers. Subtract single digits with a missing number.

Place value  'Adding On' single digit numbers
 Activities: 1 course, 0 extra

Single digit subtraction  missing number
 Activities: 3 course, 3 extra

Adding on  Numbers under 10
 Activities: 4 course, 8 extra

Single digit subtraction.
 Activities: 4 course, 3 extra


4 learning outcomes – click to view
KS1.Y2.N.AS.3.b: a twodigit number and 10s

8 learning outcomes – click to view
Samples: Counting Forwards By 10. Adding On 10  Blocks as visual cues. Adding On multiples of 10  Blocks as visual cues.

Add on 10
 Activities: 3 course, 4 extra

Adding On 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Adding On multiples of 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Adding multiples of 10
 Activities: 2 course, 1 extra

Subtracting 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Subtracting multiples of 10  Blocks as visual cues
 Activities: 1 course, 0 extra

Subtract 10 from numbers
 Activities: 4 course, 2 extra

Subtracting multiples of 10
 Activities: 2 course, 3 extra


8 learning outcomes – click to view
KS1.Y2.N.AS.3.c: 2 twodigit numbers

6 learning outcomes – click to view
Samples: Place value  Two digit addition without trading. Add On Numbers Under 10. Mental Strategies In Addition.

Place value  Adding two digit numbers (no regrouping)
 Activities: 1 course, 0 extra

Adding on  Numbers under 10
 Activities: 4 course, 8 extra

Two digit addition  look for 10
 Activities: 2 course, 0 extra

Two digit addition
 Activities: 1 course, 0 extra

Two digit addition  problem solving
 Activities: 6 course, 10 extra

Challenge Puzzle  Addition Pyramid
 Activities: 1 course, 0 extra


6 learning outcomes – click to view
KS1.Y2.N.AS.3.d: adding 3 onedigit numbers

2 learning outcomes – click to view
Samples: Adding three singledigit numbers. Add three numbers  each under 6. Add three sets of numbers.

Add three sets of numbers  numbers under 10
 Activities: 3 course, 0 extra

Add three numbers (numbers under 6)
 Activities: 3 course, 8 extra


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

3 learning outcomes – click to view
Samples: Single digit addition (missing number). Subtract single digits with a missing number.

Single digit addition (missing number)
 Activities: 3 course, 5 extra

Single digit subtraction  missing number
 Activities: 3 course, 3 extra

Explain addition and subtraction by drawing
 Activities: 1 course, 0 extra


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

4 learning outcomes – click to view
Samples: Learn the 2 times multiplication table. Learn the 5 times multiplication table.

2x tables  Skills
 Activities: 3 course, 4 extra

5x tables  skills
 Activities: 3 course, 5 extra

10x tables  skills
 Activities: 3 course, 5 extra

Share between 2
 Activities: 5 course, 2 extra


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

3 learning outcomes – click to view
Samples: Two times tables (2x). Five times tables (5x). Ten times tables (10x). Two times tables (2x). Five times tables (5x).

2x times tables (Skill 35)
 Activities: 4 course, 1 extra

5x times tables (Skill 36)
 Activities: 4 course, 1 extra

10x times tables (Skill 37)
 Activities: 4 course, 1 extra


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

4 learning outcomes – click to view
Samples: 2x Multiplication facts (times tables)  1. 5x Multiplication facts (times tables)  1.

2x tables  Problem Solving
 Activities: 2 course, 3 extra

5x tables  problem solving
 Activities: 2 course, 2 extra

10x tables  problem solving
 Activities: 2 course, 2 extra

The division symbol
 Activities: 1 course, 0 extra


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

4 learning outcomes – click to view
Samples: Halves, Thirds and Quarters. Identifying Fractions. Identifying Fractions. Fractions on a number line: Activity 1.

Halves, thirds and quarters
 Activities: 1 course, 1 extra

Represent fractions using sectioned areas.
 Activities: 3 course, 1 extra

Identifying fractions
 Activities: 2 course, 1 extra

Fractions on a number line.
 Activities: 2 course, 1 extra


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

2 learning outcomes – click to view
Samples: Representing fractions. Matching equivalent fractions using fraction models.

Represent halves, thirds, quarters, eighths and fifths.
 Activities: 1 course, 0 extra

Matching equivalent fractions using fraction models
 Activities: 1 course, 0 extra


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

6 learning outcomes – click to view
Samples: Units of measure. Units of measure. What is a centimetre. Estimate length in metres.

Which measuring device?
 Activities: 2 course, 0 extra

Using the appropriate tools for measuring length
 Activities: 2 course, 0 extra

Estimate length in centimetres
 Activities: 2 course, 0 extra

Estimate length in metres
 Activities: 1 course, 0 extra

Measure mass in grams and kilograms
 Activities: 3 course, 6 extra

Measure volume using litres and milliltres
 Activities: 2 course, 1 extra


6 learning outcomes – click to view
KS1.Y2.M.2 – Compare and order lengths, mass, volume/capacity and record the results using >, < and =

4 learning outcomes – click to view
Samples: Order or compare objects or shapes based on informal measurements. Compare length  graph.

Order objects based on length.
 Activities: 1 course, 0 extra

Compare length  Graph
 Activities: 1 course, 0 extra

Compare or measure volume measured using informal units
 Activities: 1 course, 4 extra

Compare mass using a balance scale
 Activities: 2 course, 0 extra


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

1 learning outcomes – click to view
Samples: Comparing and Counting Money. What's the Total Amount.

Comparing and counting coins
 Activities: 1 course, 1 extra


1 learning outcomes – click to view
KS1.Y2.M.4 – Find different combinations of coins that equal the same amounts of money

2 learning outcomes – click to view
Samples: Represent money in multiple ways. Making equal amounts.

Represent money in multiple ways
 Activities: 1 course, 0 extra

Making equal amounts
 Activities: 1 course, 0 extra


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

3 learning outcomes – click to view
Samples: Earning Pocket Money. Saving Money. Identifying goods and services. Identifying goods and services : activity 2.

Earning Pocket Money
 Activities: 1 course, 0 extra

Saving money
 Activities: 1 course, 0 extra

Good and Services
 Activities: 2 course, 0 extra


3 learning outcomes – click to view
KS1.Y2.M.6 – Compare and sequence intervals of time

2 learning outcomes – click to view
Samples: Estimate the duration of time. Reading An Analog Clock. Telling the time on an analog clock  o'clock.

Most likely duration for an event
 Activities: 1 course, 0 extra

Telling the time on an analog clock  o'clock
 Activities: 2 course, 2 extra


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

2 learning outcomes – click to view
Samples: Reading A Clock Quarter Past Quarter To. Minutes past the hour: 5 minute intervals  digital clocks.

Telling the time on an analog clock  quarter to and past
 Activities: 2 course, 2 extra

Tell the time: 5 minute intervals
 Activities: 6 course, 0 extra


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

1 learning outcomes – click to view
Samples: Reading Clock Five Minute Intervals. Reading Time  to the minute. Reading analog to one minute intervals.

Reading Time  to the minute
 Activities: 2 course, 3 extra


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 2D shapes, including the number of sides, and line symmetry in a vertical line

2 learning outcomes – click to view
Samples: Shapes Match 2. Joining shapes.

Shapes Match
 Activities: 1 course, 0 extra

Joining shapes
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
KS1.Y2.G.PS.2 – Identify and describe the properties of 3D shapes, including the number of edges, vertices and faces

2 learning outcomes – click to view
Samples: Joining 3D objects to make composite objects. Identifying corners on 3D objects.

Joining 3D objects to make composite objects
 Activities: 1 course, 0 extra

Describe the features of threedimensional objects
 Activities: 4 course, 5 extra


2 learning outcomes – click to view
KS1.Y2.G.PS.3 – Identify 2D shapes on the surface of 3D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]

1 learning outcomes – click to view
Samples: Three dimensional objects  front, side and top view. Identifying 3D Objects from Different Views.

Top, side and front view. Threedimensional objects
 Activities: 1 course, 2 extra


1 learning outcomes – click to view
KS1.Y2.G.PS.4 – Compare and sort common 2D and 3D shapes and everyday objects

2 learning outcomes – click to view
Samples: Sorting Shapes according to colour. Predicting the movement of objects roll/slide.

Classify and sort twodimensional shapes
 Activities: 4 course, 3 extra

Classify and sort threedimensional shapes
 Activities: 2 course, 1 extra


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

1 learning outcomes – click to view
Samples: Recognizing and continuing repeating patterns. Continue Patterns created with objects. Repeating patterns.

Continue patterns created with objects
 Activities: 4 course, 4 extra


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 threequarter turns (clockwise and anticlockwise)

4 learning outcomes – click to view
Samples: Follow directions to locations. Describe movement using positional language. Give directions to reach a location.

Follow directions to locations.
 Activities: 1 course, 0 extra

Describe movement using positional language.
 Activities: 1 course, 0 extra

Give directions to reach a location
 Activities: 1 course, 0 extra

Identify and describe half and quarter turns
 Activities: 2 course, 0 extra


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

2 learning outcomes – click to view
Samples: Data  tally marks: Activity 1. Interpreting Column Graphs  3. Data  tally marks: Activity 2.

Interpret data presented with tally marks
 Activities: 2 course, 2 extra

Interpret data presented using simple column graphs
 Activities: 1 course, 11 extra


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

2 learning outcomes – click to view
Samples: Using simple questions to gather data. Interpret data as drawings. Display data using objects and drawings.

Choose simple questions to gather responses
 Activities: 1 course, 0 extra

Interpret data presented using drawings and symbols
 Activities: 1 course, 2 extra


2 learning outcomes – click to view
KS1.Y2.S.3 – Askandanswer questions about totalling and comparing categorical data

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.

Interpret data presented in a table
 Activities: 2 course, 1 extra

Interpret data presented in lists
 Activities: 1 course, 0 extra


2 learning outcomes – click to view