MATHS-Y5
Year 5 |
Weeks |
Autumn |
Spring |
Summer |
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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.
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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
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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.
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3 |
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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. |
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4 |
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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.
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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. |
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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.
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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.
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7 |
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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.
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9 |
Review and Revision End of Year Test and revision (4 weeks)
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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.
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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. |
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12 |