Maths Year 3 and 4

NEW NC Year 3/4 Autumn Medium Term Plan
Mental Add and Subtract
Number Sense
Topic
Year 3


Say what each digit in a 2-digit number represents.
Place 2-digit numbers accurately on a 0-100 line.





Place 3-digit numbers accurately on a landmarked 0-1000 line.
Use this knowledge to compare 3-digit numbers.
Know what each digit represents in a 3-digit number.
Add 1, 10 or 100 to a 3-digit number.
Subtract 1, 10 or 100 from a 3-digit number.





Write amounts in £ and p including using zero as place holder.
Write amounts in £ and p.
Compare amounts of money using place value knowledge.
Say what each digit represents in a 3-digit amount of money.
Use this knowledge to add and subtract money.




Know number bonds for all number up to 20
Use number bonds in addition and subtraction.
Write balancing number sentences using numbers up to 20
Understand that = represents equality.



Know multiples of 5 to 100
Confidently list pairs of multiples of 5 which add to 100.
Quickly find pairs of numbers with a total of 100.
Year 4





Say what each digit represents in a 4-digit number.
Compare 4-digit numbers
Use this knowledge to compare 4-digit numbers using < and >.
Locate 3-digit numbers on landmarked and unmarked 0-1000 lines.
Locate 4-digit numbers on landmarked and unmarked lines.






Say what each digit represents in a 4-digit number.
Write place value related additions and subtractions.
Use place value to find which numbers have been added or subtracted.
Use this knowledge to add and subtract 1 or 1000.
Use this knowledge to add and subtract 10.
Use this knowledge to add and subtract 100.



Add pairs of two-digit numbers using place value.
Add pairs of two-digit numbers using counting up in 10s & 1s.
Use number facts and understanding of the number system to choose
a strategy for adding.
Add a two-digit number to a three-digit number using place value.
Add a two-digit number to a three-digit number using counting up.
Use number facts and understanding of the number system to choose
a strategy for adding.
Count up to subtract pairs of two-digit numbers.
Use number facts to count up quickly and efficiently.
Subtract a two-digit number from 100 using number bonds or place
value.
Subtract a two-digit number from a three-digit number using counting
up or counting back.
Choose a strategy to subtract.








Addition
Topic
Year 3




Use known number facts to add 1-digit to 2-digit numbers
Cross a tens boundary when adding
Use number facts to choose a sensible order to add 4 or more numbers.
Explain the reasons for your choices.


Add a multiple of 10 to/from a 2-digit number.
Add a near multiple of 10 to/from a 2-digit number.

Add pairs of 2-digit number by partitioning and recombining, totals in tens
or ones more than 10.
Add pairs of 2-digit number by partitioning and recombining, totals in tens
and ones more than 10.




Add 1s, 10s or 100s to a 3-digit number, without crossing the tens or
hundreds boundary.
Add a multiple of 10 to a 3-digit number.
Add a near multiple of 10 to a 3-digit number without crossing the tens or
hundreds boundary.
Year 4
Add two 3-digit numbers using compact written addition:
-Add 3-digit numbers without crossing the ones, tens or
hundreds boundary.
-Add a multiple of 10 or 100 to a 3-digit number.
-Add a near-multiple of 10 or 100 to a 3-digit number without
crossing the tens or hundreds
boundary

Add three 3-digit numbers using compact written addition.



Say what each digit represents in a 4-digit number.
Add two 4-digit numbers, in the context of money, without crossing
the ones, tens or hundreds boundary.
Topic
Year 3
Year 4


Use known number facts to subtract 1-digit from 2-digit numbers
Cross a tens boundary when subtracting.




Subtract a multiple of 10 to/from a 2-digit number.
Subtract a near multiple of 10 to/from a 2-digit number.


Subtract numbers lying either side of a multiple of ten, e.g. 42 – 28,
drawing own empty number line.
Subtract any pair of 2-digit numbers by counting up.
Count up to find change from a pound.

Subtraction








Count up to subtract 3-digit numbers e.g. 402 – 356.
Count up to subtract 3-digit numbers (answers less than 100, e.g. 421
– 356).
Count up to subtract 3-digit numbers (answers less than 100, e.g. 421
– 356).
Check subtraction using addition


Subtract a multiple of 10 or 100 to a 3-digit number.
Subtract a near-multiple of 10 or 100 to a 3-digit number without
crossing the tens or hundreds boundary.
Use counting up to subtract numbers on either side of 100, answers less
than 20 eg 102 - 87
Use counting up to subtract numbers on either side of 100, answers less
than 30 eg 116 – 88
Use counting up to subtract numbers on either side of 100, answers less
than 40 eg 109 – 76

Subtract 1s, 10s or 100s from a 3-digit number, without crossing the tens
or hundreds boundary.
Subtract a multiple of 10 to from a 3-digit number.
Subtract a near multiple of 10 from a 3-digit number without crossing the
tens or hundreds boundary.




Subtract two 3-digit numbers using compact written addition:
-Subtract 3-digit numbers without crossing the ones, tens or
hundreds boundary.
-Use decomposition to subtract, with 1 exchange between
columns.
-Use decomposition to subtract, with exchanges between 1 or 2
columns.
Estimate what the answer to a subtraction question will be.
Check a subtraction using addition.
Use counting up to subtract.
Select an efficient strategy for a particular subtraction.


Say what each digit represents in a 4-digit number.
Subtract two 4-digit numbers, in the context of money, without
crossing the ones, tens or hundreds boundary.
Multiplication
Topic
Year 3






Double 2-digit numbers up to 50 by partitioning and recombining
Halve even 2-digit numbers up to 50 by partitioning and recombining
Know × and ÷ facts for the 5 and 10 times tables
Understand that multiplications is commutative
Write × and ÷ sentence sentences for the 2 times table
Confidently recognise multiples of 2, 5 and 10


Know 3 times table and know related division facts.
Know 4 times table and know related division facts.


Understand that multiplication is the inverse of division.
Write related multiplication and division facts.
Year 4





Division


Divide by 5 and find a remainder.
Use multiplication facts to divide a number where the answer has a
remainder.












Know what ½, 1/3, ¼ of a shape looks like.
Find ½, 1/3, ¼ of a small number (whole number answers).


Find ½ of a quantity, including odd numbers.
Write a jotting to show halving a quantity.


Find ½ of a 2-digit number.
Know if 2-digit numbers are odd or even.


Know what ¼ and ¾ of a shape looks like.
Find ¼ and ¾ of a quantity (whole number answers).


Know what 1/3 and 2/3 of a shape looks like.
Find 1/3 and 2/3 of a quantity.

Fractions


Double and halve tens and ones then recombine them.
Double and halve hundreds, tens and ones then recombine them.
Know multiplication and associated division facts for the x4 tables, up
to x12.
Know multiplication and associated division facts for the x8 tables, up
to x12.
Know multiplication and associated division facts for the x3 tables, up
to x12.
Know multiplication and associated division facts for the x6 tables, up
to x12.
Recognise multiples of 3, 4, 5, 6 and 8 to guess mystery function
machines.
Use grid method (or chosen expanded method) to multiply TU x U.
Use known multiplication and division facts.
Use chunking or short division to divide by 3, 4, 6 with no remainders.
Use chunking or short division to divide by 3, 4, 6, 8 with no
remainders.
Divide 2-digit numbers by 1-digit numbers, above the 10th multiple
with remainders, using written layout for chunking or short division.
Check division with multiplication
Begin to round up or down after division depending on the context.
Count ins 1/4s, 1/3s, 1/8s and 1/10s saying the equivalent fractions,
e.g. 1 ½ not 12/4..
Understand the link between finding fractions of amounts and
division.
Find unit fractions then non-unit fraction of amounts.
Time
Statistics
Shape
Topic
Year 3





Describe and name 2D shapes
Sort shapes in different ways according to their properties
Describe properties and name 2D shapes
Recognise right angles
Sort 2D shapes using a Venn diagram



Describe and name 3D shapes and use correct mathematical vocabulary
Sort shapes according to their properties
Sort 3D shapes using a Carroll diagram


Recognise and find one or more lines of symmetry
Complete complicated symmetrical drawings








Year 4

Understand how the circumference and radius of a circle can be found
Draw circles with different radii
Describe 2D shapes by using correct mathematical vocabulary
Sort 2D shapes into a Carroll diagram
Describe, name different triangles
Sort triangles into Carroll diagrams
Describe and name 3D shapes by using correct mathematical
vocabulary
Construct 3D shapes
Describe and name 3D shapes by using correct mathematical
vocabulary
Sort 3D shapes using a Venn diagram
Collect and represent data in pictograms where one symbol represents
two units.



Collect data and record results in bar charts.
Present data in pictograms where one symbol represents 4 people.
Interpret pictograms.
Tell the time to the nearest 5 minutes.
Match equivalent digital and analogue times.
Tell the time to the nearest 5 minutes on analogue and digital clocks.
Read Roman numerals.
Tell the time to the nearest 5 minutes using am and pm and clocks without
numbers.
Understand units of time.
Time events in seconds and record results in a bar graph, where one step
is 10 seconds.

Tell the time to the nearest minute on analogue clocks some with
Roman numerals.
Convert between digital and analogue times using am and pm.
Find times that are 30, 40 and 45 mins later crossing the hour.
Calculate time intervals using a number line crossing over the hour.
Write word problems involving time intervals.
Time events in seconds.













