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Maths

Maths will be taught for an hour each day. The focus for maths lessons is reasoning and problem solving. We will start in September by looking at number and place value and move to addition and subtraction and then multiplication and division. Children need to start year 5 knowing all of the multiplication and division facts for all of the times tables up to 12 x 12.

We will practise these mental skills through the year.  

 

  • Count forward and backwards with positive and negative numbers, including through zero.
  • Count forward and backwards in steps of powers to 10 for any given number to 1,000,000
  • Count prime numbers up to 19
  • Know all multiplication and corresponding division facts to 12 x 12
  • Square and cubed numbers
  • Convert equivalent fractions to decimals and percentages
  • Know decimal compliments to 1 (2 dp, e.g., 0.76 + 0.24)
  • Know decimal compliments to 10 ( 1dp, e.g., 6.2 + 3.8)
  • Know what must be added to any 4-digit number to make the next multiple of 1000 (e.g. 4678 + 322 = 5000)
  • Know what must be added to any 1d.p number to make the next whole number (e.g. 4.8 + 0.2 = 5)
  • Doubles and halves of 1.d.p decimals to 10 (e.g. double 3.4, half of 5.6).
  • Know all square numbers to 12 x 12
  • Know all prime numbers to 19.
  • FDP equivalents of halves, quarters, tenths, hundredths, thirds and fifths ( e.g. 1/5 = 2/10 = 0.2 = 20%)

Factor pairs for numbers to 100.

National Curriculum Objective

White Rose Small Steps

Number – Place Value

Read, write, order and compare numbers to at

least 1000000 and determine the value of

each digit.

Count forwards or backwards in steps of

powers of 10 for any given number up to

1000000.

Interpret negative numbers in context, count

forwards and backwards with positive and

negative whole numbers including through

zero.

Round any number up to 1000000 to the

nearest 10, 100, 1000, 10000 and 100000

Solve number problems and practical

problems that involve all of the above.

Read Roman numerals to 1000 (M) and

recognise years written in Roman numerals.

 

 

Number to 10,000

Roman numerals to 1,000

Round to the nearest 10, 100 and 1,000

Number to 100,000

Compare and order numbers to 100,000

Round numbers within 100,000

Numbers to a million

Counting in 10s, 100s, 1,000s, 10,000s and 100,000s

Compare and order numbers to a million

Round numbers to a million

Negative numbers

Number- Addition and Subtraction

Add and subtract numbers mentally with increasingly large numbers.

Add and subtract wholemnumbers with more than 4ndigits, including using formal written methods (columnar addition and subtraction) Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy.

Solve addition and subtraction multi-step problems in contexts, deciding which

operations and methods to use and why.

 

Add whole numbers with more than 4-digits (column method)

Subtract whole numbers with more than 4-digits (column method)

Round to estimate and approximate

Inverse operations (addition and subtraction)

Multi-step addition and subtraction problems

 

Statistics

Solve comparison, sum and difference problems using information presented in a line graph.

Complete, read and interpret information in tables including timetables.

 

 

Read and interpret line graphs

Draw line graphs

Use line graphs to solve problems

Read and interpret tables

Two way tables

Timetables

 

Number – multiplication and division

Multiply and divide numbers mentally drawing upon known facts.

Multiply and divide whole numbers by 10, 100 and 1000.

Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.

Recognise and use square numbers and cube numbers and the notation for squared (2) and cubed (3)

Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes.

Know and use the vocabulary of prime numbers, prime factors and composite (non -prime) numbers.

Establish whether a number up to 100 is prime and recall prime numbers up to 19

 

Multiples

Factors

Common factors

Prime numbers

Square numbers

Cube numbers

Inverse operations (Multiplication and Division)

Multiply by 10, 100 and

1,000

Divide by 10, 100 and 1,000

Multiply and divide by multiples of 10, 100 and

1,000

 

Perimeter and Area

Measure and calculate the perimeter of composite rectilinear shapes in cm and m.

Calculate and compare the area of rectangles

(including squares), and including using standard

units, cm2, m2 estimate the area of irregular shapes.

 

 

Measure perimeter

Calculate perimeter

Find unknown lengths

Area of rectangles

Area of compound shapes

Estimate and approximate area