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Countess-Anne

Singin' in
the Rain Jr

MATHS-Y5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Year 5

Weeks

Autumn

Spring

Summer

1

Number and Place Value: Numbers to 1 000 000 (2.5 weeks)

-          To read and represent numbers up to 1 000 000.

-          To compare numbers using place value.

-          To make and identify patterns in numbers.

-          To make a number pattern decrease in multiples of 10 000 and 100 000.

-          To round numbers to the nearest 10 000 and 100 000 using numbers lines and bar graphs.

Prior Learning –

Year 3 – Chapter 1 – Place Value to 1000.

Count up to 1000 understanding the place value of each digit. Compare and order numbers and recognising number patterns.

Year 4 - Chapter 1 – Place value to 10 000.

Count up to 10 000, understand the place value of each digit. Compare order and round numbers. Recognise number patterns.

 

Fractions, Decimals and Percentages : Fractions  (4 weeks)

-          To divide whole numbers to create fractions – mixed number fractions and improper fractions.

-          To write improper fraction and mixed number fractions using a number line.

-          To find equivalent fractions/

-          To compare and order fractions and improper fractions.

-          To compare mixed number fractions and find common denominators.

-          To make number pairs with fractions with different denominators.

-          To add unlike fractions by finding the common denominator.

-          To add together unlike fractions with the sum greater than 1.

-          To add unlike fractions together where the sum is greater than 1.

-          To add unlike fractions which create improper fractions that allow for simplification.

-          To subtract fractions with different denominators.

-          To subtract fractions where the denominators are not the same using bar methods.

-          To subtract fractions an mixed numbers from mixed number with different denominators.

-          To multiply fractions by whole numbers.

-          To multiply mixed numbers by whole numbers created larger mixed numbers.

-          To multiply mixed numbers by whole numbers in multi-step word problems.

Prior Learning –

Year 3 – Chapter 12 – Fractions

Find equivalent fractions, to compare fractions, to add and subtraction fractions from a whole.

Year 4 – Chapter 6 – Fractions

To find equivalent fractions. Write mixed number fractions. Simplifying fractions. Adding fractions and subtracting fractions.

Geometry: Properties of Shapes: Geometry

 

2

Measurement: Measurements (2.5weeks)

-          To convert between centimetres and millimetres.

-          To convert between centimetres and metres.

-          To convert between kilometres and grams.

-          To convert between litres and millimetres.

-          To convert between common imperial and metric units of length, mass and volume.

-          To solve word problems involving different units of length, mass and volume.

-          To convert units of time.

-          To read temperature on a thermometer.

 

Prior Learning –

Year 3 – Chapter 5- Length

To write in Metres, Centimetres and Millimetres. To compare lengths.

Year 3 – Chapter 6- Mass

To read weighing scales.

Year 3 – Chapter 7- Volume

To measure volume and capacity using Millilitres and Litres.

Year 4 – Chapter 10 – Length, Mass, Volume.

To covert and estimate length, mass and volume.

 

3

Calculations: Addition and Subtraction  (2.5 weeks)

-          To use the count on strategy to add.

-          To add numbers within 1 000 000 using rounding.

-          To add numbers within 1 000 000 using the column method.

-          To subtract using the ‘counting backwards’ method.

-          To subtract using the column method.

-          To add and subtract to solve comparison problems up to numbers to 1 000 000.

Prior Learning –

 Year 3 – Chapter 2 – Addition and Subtraction

To add and subtract using renaming in the ones and tens. Use of bar modelling.

Year 4 – Chapter 2 – Addition and Subtraction

To add and subtract with and without renaming using the column method.

4

Geometry: Properties of Shapes: Area and Perimeter  (1.5 weeks)

-          To find the perimeter of rectangles.

-          To find the area of rectangles.

-          To find the perimeter of rectilinear shapes.

-          To find the area of rectilinear shapes.

-          To be able to estimate the area of irregular shapes drawn on a grid.

Prior Learning –

Year 4 – Chapter 11 – Geometry: Area and Perimeter

To estimate and find the area and perimeter of shapes using squares and half-squares.

 

5

Mid- Year Tests

N.B: this time may be reduced according to the needs of the class and cohort. Pupils may need more time on curriculum content opposed to a large review of the year so far. This is down to the discretion on the class teacher.

6

Calculations: Multiplication and Division  (4 weeks)

-          To define common factors to 100.

-          To identify and name prime numbers and recognise prime numbers with only 2 factors.

-          To define and determine prime numbers and composite numbers.

-          To create and determine square and cubed numbers.

-          To multiply 2 digit number by 10, 100 and 1000.

-          To multiply 2 and 3 digit numbers by a 1-digit number.

-          To multiply 4 digit numbers by 1 digit numbers with regrouping.

-          To multiply 2 digit numbers by 2 digit numbers using multiple methods – grid method, number bonds and column method.

-          To multiply a 3 digit number by a 2 digit number with regrouping with column method being the key strategy.

-          To divide 3 and 4 digit numbers using number bonds and long division.

-          To divide 3 digit numbers by 1 digit numbers using long and short division.

Prior Learning –

Year 3 – Chapter 3 and 4 – Multiplication and Division

To find relationships between multiplication and division. To multiply and divide 2 digit numbers with renaming.

Year 4 – Chapter 3 – Multiplication and Division

To multiply by 9, 7, 11 and 12.To divide by 6, 7, 9,11 and 12. To divide with a remainder.

Year 4 – Chapter 4 – Further Multiplication and Division.

To multiply the same 2 numbers. To multiply 3 numbers and multiply 2 and 3 digit numbers by 1 digit with and without renaming.

Fractions, Decimals and Percentages : Decimals (3 weeks)

-          To read and write decimals.

-          To compare tenths and hundredths as decimals.

-          To order and compare decimals.

-          To write fractions as decimals.

-          To add and subtract decimals.

-          To add and subtract decimals amounts in pounds and pence.

-          To add and subtract decimals to find the smallest possible sum and difference.

-          To add and subtract decimals to find a pair that equal 1.

-          To add and subtract the perimeter using decimals.

-          To round decimals to the nearest whole number.

Prior Learning –

Year 4- Chapter 9 – Decimals.

To write hundredths and tenths. To compare and order and round decimals. To write fractions as decimals.

 

Measurement: Volume (2 weeks)

-          To understand the volume of solids.

-          To find the volume of 3D shapes.

-          To calculate the volume of cuboids.

-          To find the capacity of a container in metric units.

-          To apply knowledge of volume to solve problems.

Prior Learning –

Year 4 – Chapter 10 – Length, Mass, Volume.

To covert and estimate length, mass and volume.

 

7

8

Number and Place Value: Roman Numerals (1 week)

-          To write Roman numerals to 1000.

-          To write numbers in their thousands in Roman Numerals.

Prior Learning –

Year 4 – Chapter 14 – Roman Numerals

To write Roman numerals to 100.

 

9

Review and Revision

End of Year Test and revision (4 weeks)

 

 

10

Calculations: Word Problems (1 week)

-          To solve word problems involving multiple operations.

-          To solve problems involving multiplication and division using the bar method.

Fractions, Decimals and Percentages : Percentage  (1 week)

-          To convert fractions with a denominator of 100 to decimals and percentages.

-          To covert simple fractions into percentages and decimals.

-          To convert fractions into percentages.

 

11

Statistics: Graphs (2 weeks)

-          To read and interpret the information in a table.

-          To respond to information in a table.

-          To read and interpret information provided in a line graph with a single line and more than one line.

-          To read and interpret information in a table and turn it into a line graph.

Prior Learning –

Year 3- Chapter 11 – Pictographs and Bar Graphs

To read and draw picture graphs and to read bar graphs.

Year 4 – Chapter 5 – Graphs

To draw and read pictograms and bar graphs. To draw and read bar graphs and line graphs.

Geometry: Properties of Shapes: Geometry (3 weeks)

-          To know the names and qualities of acute, right, obtuse and reflex angles.

-          To measure angles using a protractor.

-          To measure angles using a protractor to identify 2 angles which add up to 180 degrees.

-          To investigate angles that when combined make 360 degrees.

-          To draw lines and obtuse angles using a protractor.

-          To describe the sides and angles of both rectangles and squares.

-          Investigate the angles of various quadrilaterals including squares and rectangles.

-          To solve problems involving angles in quadrilaterals, angles, parallel lines and diagonals.

-          Investigate regular polygons.

Prior Learning –

Year 4- Chapter 13 – Geometry

To identify types of angles, compare angles and classify triangles and quadrilaterals.

12