Mathematics – United Kingdom – National Curriculum
Year 3 programme of study
KS2.Y3.N.NPV – Number  number and place value
Pupils should be taught to:
KS2.Y3.N.NPV.1 – Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number

10 learning outcomes – click to view
Samples: Place Value. Counting by 100's. Groups of 4. Groups of 8. Add 10. Add 100. Subtract 10 From Numbers.

Place value  hundreds, tens and ones (to 999)
 Activities: 3 course, 1 extra

Counting by 100's
 Activities: 1 course, 0 extra

Groups and Rows of four.
 Activities: 5 course, 4 extra

Patterns of 8
 Activities: 5 course, 1 extra

Add 10
 Activities: 1 course, 0 extra

Add 100
 Activities: 1 course, 0 extra

Subtract 10 from numbers
 Activities: 4 course, 2 extra

Subtract 10 from larger numbers
 Activities: 1 course, 0 extra

Subtract 100 (between 100900)
 Activities: 1 course, 0 extra

Rounding numbers to the nearest multiple of 10.
 Activities: 6 course, 2 extra


10 learning outcomes – click to view
KS2.Y3.N.NPV.2 – Recognise the place value of each digit in a 3digit number (100s, 10s, 1s)

1 learning outcomes – click to view
Samples: Place Value. Place value  Hundreds. Identifying Place Value  to 999. Number guessing game  numbers to 1000.

Place value  hundreds, tens and ones (to 999)
 Activities: 3 course, 1 extra


1 learning outcomes – click to view
KS2.Y3.N.NPV.3 – Compare and order numbers up to 1,000

2 learning outcomes – click to view
Samples: Reducing numbers from their expanded form. Compare two threedigit numbers (< = >).

Reducing numbers from their expanded form
 Activities: 1 course, 0 extra

Compare two threedigit numbers (< = >)
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
KS2.Y3.N.NPV.4 – Identify, represent and estimate numbers using different representations

1 learning outcomes – click to view
Samples: Two digit addition (estimating). Estimating. Estimating Answer sheet.

Two digit addition (estimating)
 Activities: 1 course, 2 extra


1 learning outcomes – click to view
KS2.Y3.N.NPV.5 – Read and write numbers up to 1,000 in numerals and in words

1 learning outcomes – click to view
Samples: Writing large numbers  four digits.

Writing large numbers  four digits
 Activities: 1 course, 0 extra


1 learning outcomes – click to view
KS2.Y3.N.NPV.6 – Solve number problems and practical problems involving these ideas

4 learning outcomes – click to view
Samples: Challenge puzzle. Comparing and Counting Money  Notes and Coins. Odd Numbers.

Challenge puzzle  Odd and Even Numbers
 Activities: 1 course, 0 extra

Comparing and counting notes and coins
 Activities: 1 course, 0 extra

Odd and Even Numbers
 Activities: 3 course, 2 extra

Round to the nearest 100
 Activities: 2 course, 0 extra


4 learning outcomes – click to view
KS2.Y3.N.AS – Number  addition and subtraction
Pupils should be taught to:
KS2.Y3.N.AS.1 – Add and subtract numbers mentally, including:
KS2.Y3.N.AS.1.a: a threedigit number and 1s
KS2.Y3.N.AS.1.b: a threedigit number and 10s

4 learning outcomes – click to view
Samples: Subtract Multiples Of 10. Add On multiples of 10. Split Strategy. Subtracting from 100  Using adding on.

Subtracting multiples of 10
 Activities: 2 course, 3 extra

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

Two digit addition (split strategy)
 Activities: 4 course, 0 extra

Subtract from 100
 Activities: 4 course, 1 extra


4 learning outcomes – click to view
KS2.Y3.N.AS.1.c: a threedigit number and 100s

3 learning outcomes – click to view
Samples: Place value  Adding three digit numbers (no regrouping). Place value  Subtract three digit numbers.

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

Place value  Subtract three digit numbers
 Activities: 1 course, 0 extra

Three digit addition (Skill 48)
 Activities: 5 course, 1 extra


3 learning outcomes – click to view
KS2.Y3.N.AS.2 – Add and subtract numbers with up to 3 digits, using formal written methods of columnar addition and subtraction

5 learning outcomes – click to view
Samples: Addition Of Five Digit Numbers. Add within 1000. Split Strategy. Jump strategy.

Addition of large numbers
 Activities: 4 course, 10 extra

Add and subtract within 1000  Drill
 Activities: 2 course, 0 extra

Two digit addition (split strategy)
 Activities: 4 course, 0 extra

Two digit addition (jump strategy)
 Activities: 5 course, 0 extra

Two digit addition (traditional methods)
 Activities: 4 course, 4 extra


5 learning outcomes – click to view
KS2.Y3.N.AS.3 – Estimate the answer to a calculation and use inverse operations to check answers

9 learning outcomes – click to view
Samples: Mental strategies for addition (split strategy). Mental strategies for addition (jump strategy).

Mental strategies for addition (Skill 39)
 Activities: 4 course, 1 extra

Mental strategies for addition  jump strategy (Skill 40)
 Activities: 4 course, 1 extra

Two digit addition (Skill 41)
 Activities: 4 course, 1 extra

Mental strategies for subtraction  jump back (Skill 42)
 Activities: 4 course, 1 extra

Mental strategy for subtraction  adding on (Skill 43)
 Activities: 4 course, 1 extra

Two digit subtraction (Skill 44)
 Activities: 4 course, 1 extra

Mental strategies for subtraction  adding on to make 100 (Skill 45)
 Activities: 4 course, 1 extra

Subtract From 100 (Skill 46)
 Activities: 4 course, 1 extra

Mental strategies  3 digit addition (Skill 47)
 Activities: 5 course, 1 extra


9 learning outcomes – click to view
KS2.Y3.N.AS.4 – Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction

8 learning outcomes – click to view
Samples: Two digit addition. Challenge Puzzle  Addition Pyramid. Addition two Digit  Missing Numbers. Make 100.

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

Challenge Puzzle  Addition Pyramid
 Activities: 1 course, 0 extra

Two digit addition (missing number)
 Activities: 2 course, 2 extra

Make 100  problem solving
 Activities: 2 course, 2 extra

Challenge puzzle  make 100
 Activities: 1 course, 0 extra

Subtraction (two steps)  problem solving
 Activities: 2 course, 0 extra

Two digit subtraction  problem solving
 Activities: 5 course, 14 extra

Challenge puzzle  two digit subtraction
 Activities: 1 course, 0 extra


8 learning outcomes – click to view
KS2.Y3.N.MD – Number  multiplication and division
Pupils should be taught to:
KS2.Y3.N.MD.1 – Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables

6 learning outcomes – click to view
Samples: Learn the 3 times multiplication table. Learn the 4 times multiplication table.

3x tables  skills
 Activities: 3 course, 6 extra

4x tables  Skills
 Activities: 4 course, 4 extra

8x tables  skills
 Activities: 3 course, 3 extra

Dividing by 3
 Activities: 4 course, 2 extra

Dividing by 4
 Activities: 3 course, 4 extra

Dividing by 8
 Activities: 2 course, 0 extra


6 learning outcomes – click to view
KS2.Y3.N.MD.2 – Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for twodigit numbers times onedigit numbers, using mental and progressing to formal written methods

12 learning outcomes – click to view
Samples: Recall multiplication facts 1x  10x. Multiplication Match. Multiplying lots of 10 by a single digit number.

2x10x tables  skills
 Activities: 3 course, 8 extra

Multiplicative comparisons
 Activities: 4 course, 0 extra

Multiples of 10 by 1 digit  skills
 Activities: 5 course, 2 extra

Division facts  Missing Number
 Activities: 2 course, 0 extra

Halving numbers  Dividing by two
 Activities: 2 course, 2 extra

Dividing with remainders
 Activities: 4 course, 3 extra

3x times tables (Skill 38)
 Activities: 4 course, 1 extra

4x times tables (Skill 49)
 Activities: 4 course, 1 extra

8x times tables (Skill 52)
 Activities: 4 course, 1 extra

Mixed times tables  1x10x (Skill 54)
 Activities: 4 course, 1 extra

Division facts (Skill 56)
 Activities: 5 course, 1 extra

Halving numbers  up to 100 (Skill 59)
 Activities: 5 course, 1 extra


12 learning outcomes – click to view
KS2.Y3.N.MD.3 – Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects

8 learning outcomes – click to view
Samples: 3x Multiplication facts (times tables)  1. Challenge Puzzle  3x tables. 4x Multiplication facts (times tables).

3x tables  problem solving
 Activities: 3 course, 2 extra

Puzzle  3x tables
 Activities: 1 course, 0 extra

4x tables  problem solving
 Activities: 3 course, 2 extra

4x tables  puzzle
 Activities: 1 course, 0 extra

8x tables  problem solving
 Activities: 2 course, 3 extra

Dividing by 3  problem solving
 Activities: 2 course, 0 extra

Times tables  missing number (Skill 55)
 Activities: 4 course, 1 extra

Multiplying lots of 10 by a single digit number  missing number (Skill 67)
 Activities: 4 course, 1 extra


8 learning outcomes – click to view
KS2.Y3.N.F – Number  fractions
Pupils should be taught to:
KS2.Y3.N.F.1 – Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing onedigit numbers or quantities by 10

1 learning outcomes – click to view
Samples: Recognizing Naming Hundredths. Tenths and hundredths. Tenths and hundreds : Problem solving. Fractions Assessment.

Tenths and hundredths.
 Activities: 3 course, 3 extra


1 learning outcomes – click to view
KS2.Y3.N.F.2 – Recognise, find and write fractions of a discrete set of objects: unit fractions and nonunit fractions with small denominators

2 learning outcomes – click to view
Samples: Fractions of an area. ComparingFractionsAsQuantities. Fractions  Area. Comparing fractions as quantities.

Fractions of an area
 Activities: 1 course, 1 extra

Comparing fractions as quantities.
 Activities: 2 course, 0 extra


2 learning outcomes – click to view
KS2.Y3.N.F.3 – Recognise and use fractions as numbers: unit fractions and nonunit fractions with small denominators

2 learning outcomes – click to view
Samples: Comparing fractions  1 whole. Counting on  fractions.

Comparing fractions  1 whole
 Activities: 1 course, 0 extra

Count by halves, thirds, quarters and eighths.
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
KS2.Y3.N.F.4 – Recognise and show, using diagrams, equivalent fractions with small denominators

1 learning outcomes – click to view
Samples: Equivalence. Modelling equivalent fractions. Equivalence  thirds and sixths.

Modelling equivalent fractions.
 Activities: 2 course, 2 extra


1 learning outcomes – click to view
KS2.Y3.N.F.5 – Add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7 ]

1 learning outcomes – click to view
Samples: Adding fractions  visual cues.

Adding fractions  visual cues
 Activities: 1 course, 0 extra


1 learning outcomes – click to view
KS2.Y3.N.F.6 – Compare and order unit fractions, and fractions with the same denominators

2 learning outcomes – click to view
Samples: Compare to a half. Compare fractions: using comparison symbols (<, =, >).

Compare to one half.
 Activities: 1 course, 0 extra

Compare fractions: using comparison symbols (<, =, >)
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
KS2.Y3.N.F.7 – Solve problems that involve all of the above

1 learning outcomes – click to view
Samples: Comparing Fractions. Compare and order fractions. Comparing fractions.

Compare and order fractions.
 Activities: 2 course, 1 extra


1 learning outcomes – click to view
KS2.Y3.M – Measurement
Pupils should be taught to:
KS2.Y3.M.1 – Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

12 learning outcomes – click to view
Samples: Adding and subtracting unit lengths using blocks. Units of measure. Units of measure.

Adding and subtracting unit lengths using blocks
 Activities: 1 course, 0 extra

Measure length in centimetres
 Activities: 4 course, 3 extra

Measure length in metres
 Activities: 2 course, 5 extra

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

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

Differences in length  centimetres
 Activities: 1 course, 0 extra

Length  problem solving
 Activities: 2 course, 1 extra

Challenge puzzle  length (m)
 Activities: 1 course, 0 extra

Use instruments to measure length.
 Activities: 2 course, 0 extra

Scaled instruments used to measure volume.
 Activities: 2 course, 4 extra

Customary units
 Activities: 0 course, 1 extra

Use scaled instruments to measure mass
 Activities: 3 course, 1 extra


12 learning outcomes – click to view
KS2.Y3.M.2 – Measure the perimeter of simple 2D shapes

2 learning outcomes – click to view
Samples: Calculating Perimeter Regular Shapes. Calculating perimeter  irregular shapes.

Perimeter of squares and rectangles.
 Activities: 2 course, 0 extra

Perimeter of irregular shapes.
 Activities: 2 course, 5 extra


2 learning outcomes – click to view
KS2.Y3.M.3 – Add and subtract amounts of money to give change, using both £ and p in practical contexts

6 learning outcomes – click to view
Samples: Calculations involving money. Represent money in multiple ways. Using ATM's to access our money.

Calculations involving money
 Activities: 1 course, 0 extra

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

Using ATM's to access our money
 Activities: 1 course, 0 extra

Calculating the amount left over
 Activities: 1 course, 0 extra

Calculating change on simple transactions
 Activities: 1 course, 0 extra

Reading a menu
 Activities: 1 course, 0 extra


6 learning outcomes – click to view
KS2.Y3.M.4 – Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12hour and 24hour clocks

2 learning outcomes – click to view
Samples: Timelines. 24 hour time  am or pm. Time. 24hour time: Activity 2. Twentyfour hour time no.2.

Timelines
 Activities: 1 course, 1 extra

24 hour time  am or pm
 Activities: 2 course, 1 extra


2 learning outcomes – click to view
KS2.Y3.M.5 – Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, am/pm, morning, afternoon, noon and midnight

2 learning outcomes – click to view
Samples: Reading Clock Five Minute Intervals. Time  'a.m.' and 'p.m.'. Reading Time  to the minute.

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

Use a.m. and p.m.
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
KS2.Y3.M.6 – Know the number of seconds in a minute and the number of days in each month, year and leap year

2 learning outcomes – click to view
Samples: Converting between units of time: Activity 1. Reading a Calendar. Converting between units of time: Activity 2.

Converting between units of time
 Activities: 2 course, 0 extra

Reading a Calendar
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
KS2.Y3.M.7 – Compare durations of events [for example, to calculate the time taken by particular events or tasks]

1 learning outcomes – click to view
Samples: Converting between units of time: Activity 1. Converting between units of time: Activity 2.

Convert between units of time
 Activities: 2 course, 1 extra


1 learning outcomes – click to view
KS2.Y3.G.PS – Geometry  properties of shapes
Pupils should be taught to:
KS2.Y3.G.PS.1 – Draw 2D shapes and make 3D shapes using modelling materials; recognise 3D shapes in different orientations and describe them

3 learning outcomes – click to view
Samples: Constructing 2D shapes. Drawing 3D Objects  cylinder. Matching  threedimensional objects with their nets.

Construct and draw two dimensional shapes
 Activities: 1 course, 4 extra

Draw threedimensional shapes
 Activities: 5 course, 8 extra

Nets of three dimensional objects
 Activities: 4 course, 2 extra


3 learning outcomes – click to view
KS2.Y3.G.PS.2 – Recognise angles as a property of shape or a description of a turn

4 learning outcomes – click to view
Samples: Identifying shapes based on attributes. Tessellating patterns. Naming 2D shapes. Naming 3D Objects.

Identifying shapes based on attributes
 Activities: 2 course, 0 extra

Creating tessellating patterns
 Activities: 1 course, 0 extra

Naming and identifying twodimensional shapes
 Activities: 5 course, 4 extra

Naming threedimensional objects
 Activities: 2 course, 3 extra


4 learning outcomes – click to view
KS2.Y3.G.PS.3 – Identify right angles, recognise that 2 right angles make a halfturn, 3 make threequarters of a turn and 4 a complete turn; identify whether angles are greater than or less than a right angle

2 learning outcomes – click to view
Samples: Angles in the environment. Comparing angles to a right angle. Drawing angles. Comparing an angle to a right angle.

Compare angle sizes in everyday situations.
 Activities: 1 course, 1 extra

Compare an angle to a right angle.
 Activities: 2 course, 1 extra


2 learning outcomes – click to view
KS2.Y3.G.PS.4 – Identify horizontal and vertical lines and pairs of perpendicular and parallel lines

3 learning outcomes – click to view
Samples: Parallel and perpendicular lines in shapes. Identifying types of lines. Interpret simple grid maps: Activity 1.

Parallel and perpendicular lines in shapes
 Activities: 1 course, 0 extra

Identifying types of lines
 Activities: 2 course, 8 extra

Interpret simple grid maps
 Activities: 2 course, 0 extra


3 learning outcomes – click to view
KS2.Y3.S – Statistics
Pupils should be taught to:
KS2.Y3.S.1 – Interpret and present data using bar charts, pictograms and tables

2 learning outcomes – click to view
Samples: Data  picture graphs: Activity 1. Surveys to collect data. Display data using picture graphs.

Interpret data presented using picture graphs.
 Activities: 1 course, 1 extra

Use surveys to collect data
 Activities: 1 course, 0 extra


2 learning outcomes – click to view
KS2.Y3.S.2 – Solve onestep and twostep questions [for example ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables

2 learning outcomes – click to view
Samples: Two way tables. Interpreting column graphs  4. Display data using column graphs.

Interpret data presented in two way tables.
 Activities: 1 course, 0 extra

Interpret data using column graphs
 Activities: 1 course, 4 extra


2 learning outcomes – click to view