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Countess-Anne

Singin' in
the Rain Jr

MATHS - Y6

Foundational text: I pray that you……may have the power, together with all the saints, to grasp how wide and long and high and deep is the love of Christ’   Ephesians 3:18

 

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Year 6

Weeks

Autumn

Spring

Summer

1

Number and Place Value: Numbers to 10 000 000 (1.5 weeks)

-          To construct and record numbers to 10 000 000 and recognise the digits.

-          To compare and order numbers to 10 000 000.

-          To compare and order numbers to 10 000 000 and create combinations of numbers using fixed digits.

-          To round numbers to the nearest million, hundred thousand and ten thousand.

-          To round numbers to the nearest appropriate number.

Prior Learning –

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.

Year 5 – Chapter 1 – Place Value to 1 000 000

To compare, order and round numbers to 1 000 000.

Measurement: Measurements (1.5 weeks)

-          To covert common measurements into centimetres and millimetres.

-          To convert units of measures into different units using knowledge of decimals and fractions.

-          To convert metres into kilometres as units of measure.

-          To convert distances between miles and kilometres.

-          To convert units of mass from grams to kilograms using decimals and fractions.

-          To convert units of volume from millilitres to litres.

-          To convert units of time from minutes to hours using 24 hour notation.

Prior Learning –

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

To covert and estimate length, mass and volume.

Year 5 – Chapter 12 – Measurements

To covert units of measurement relating to length, volume and mass. To read the temperature on a thermometer. To convert units of time.

Geometry – Position and Direction: Position and Movement (1 week)

-          To represent negative numbers on both vertical and horizontal number lines.

-          To describe the position of objects on a coordinate grid using the x and y axes to determine the position of objects on a grid.

-          To describe the position of points using coordinates on a grid.

-          To draw polygons on a coordinate grid.

-          To recognise polygons on a coordinate grid.

Prior Learning –

Year 4 – Chapter 13 – Position and Direction: Position and movement

To describe position, plot coordinates. Describe translations using coordinates.

Year 5 – Chapter 11 – Position and Direction: Position and Movement

To name and plot points, describe the position of a shape following translation, to describe movements and reflect shapes and to reflect a shape more than once.

 

Calculations: Four operations on Whole numbers (4 weeks)

3

4

 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.

SATS (1 week)

 

5

Fractions, Decimals, Percentages: Percentages

(1 week)

-          To find the percentage of a whole number using division and multiplication.

-          To find the percentage of a quantity.

-          To find the percentage change in an amount over time; calculate the percentage change where the number gives rise to a decimal.

-          To use percentage, bar models and fractions to compare amounts.

Prior Learning –

Year 5 – Chapter 9 – Fractions, Decimals, Percentages – Percentages.

To convert fractions with a denominator of 100 to a decimals and percentages, simple fractions into percentages and decimals.

Number and Place Value: Negative Numbers (1week)

-          To add and subtract negative numbers using a number line.

-          To create number stories using negative numbers.

Prior Learning –

Year 5 – Chapter 11 – Measurements

To read the temperature on a thermometer.

6

Ratio and Proportion: Ratio (2 weeks)

-          To use ratios and fractions to compare objects; to find the relationship between ratios, percentages and fractions.

-          To determine the ratio of a quantity; to simplify ratios in addition to division.

-          To compare more than two quantities using the term ratio.

-          To use ratio to count and measure quantities.

-          To compare quantities by writing a ratio.

-          To apply knowledge of ratios to word problems.

-          To solve word problems involving ratio/

-          To apply the advanced bar model to ratio word problems.

 

Measurement: Volume (1 week)

-          To find the volume of cubes and cuboid using concrete materials.

-          To determine the formula for the volume of cubes and cuboids and apply it to calculate the volume of shapes.

-          To estimate the volume of objects and spaces.

-          To calculate the volume of boxes using the formula for volume of cubes and cuboids.

-          To estimate and compare the volume of cubes and cuboids.

-          To solve word problems involving the volume of cubes and cuboids.

Prior Learning –

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

To convert and estimate length, mass and volume.

Year 5 – Chapter 12 – Measurements

To covert units of measurement relating to length, volume and mass. To read the temperature on a thermometer. To convert units of time.

Fractions, Decimals and Percentages: Fractions (3.5 weeks)

-          To use concrete materials to simplify fractions and recognise equivalent fractions to ¼.

-          To simplify fractions using division and common factors,

-          To compare and order fractions from smallest to largest.

-          To compare and order fractions by finding common denominators.

-          To compare and order fractions using common factors.

-          To add and subtract fractions with different denominators.

-          To add and subtract mixed number fractions with different denominators.

-          To multiply fractions using pictorial representations and abstract methods.

-          To determine if the commutative law applies to fractions.

-          To use concrete materials to understand and solve the multiplication of fractions.

-          To divide fractions by whole numbers.

-          To divide fractions when the numerator and divisor are not easily divisible.

-          To divide fractions by a whole number.

 

 

 

Prior Learning -

Year 4 – Chapter 2 – Addition and Subtraction

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

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.

Year 5 – Chapter 2 – Addition and Subtraction

To add and subtract number to 1 000 000 using a variety of strategies. To solve problems using these operations.

Geometry: Properties and Shapes: Geometry (2 weeks)

-          To name the parts of a circle; to calculate diameter and radius using parts of a circle.

-          To solve problems involving angles in a circle.

-          To draw quadrilaterals with specific side lengths and parallel lines.

-          To find the perimeter of shapes and name trapezium and parallelograms.

-          To draw triangles using measurements and angles as the starting point.

-          To use a protractor to draw triangles using angles.

-          To construct triangles using a protractor and ruler.

-          To use ratio to determine the dimensions of  a triangle.

-          To construct the nets of 3D shapes by identifying the faces and the 2D shapes that construct them.

-          To construct the nets of 3D shapes by identifying the faces and the 2D shapes that construct them.

Prior Learning –

Year 4- Chapter 13 – Geometry

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

Year 5 – Chapter 10  - Geometry

To name acute, obtuse and reflex angles. To measure using a protractor. To identify 2 angles that add up to 180 degrees. Combine angles to make 360 degrees. To draw angles using a protractor. To describe the angles of rectangles and squares. To investigate the angles of various quadrilaterals.

7

8

Algebra: Algebra (2 weeks)

-          To determine a pattern using concrete materials; to use a table to identify a repeating pattern; to express a rule using a letter or symbol.

-          To express the relationship between consecutive numbers in terms of a symbol or letter.

-          To express unknown numbers in terms of a letter or symbol including using a number before a letter for multiplication.

-          To write algebraic expression.

-          To express a missing number algebraically.

-          To write and evaluate algebraic expressions with two steps.

-          To write and use formulae.

-          To replace a letter/variable with a number then solve the equation.

-          To use inverse operations to solve equations.

-          To solve equations to find unknown values.

 

9

Geometry: Position and Movement (1 week)

-          To describe reflection using a mirror line and the terms ‘object’ and ‘image’

-          To reposition objects so they can be reflected in the x and y axis as the mirror line.

-          To describe the movement of objects using he terms ‘translation’ and ‘reflection’.

-          To use algebra to describe the positions of coordinates in relationship to one another.

-          To represent translation and reflection using algebraic notation.

Prior Learning –

Year 4 – Chapter 14 – Position and Direction

To describe the position, plot co-ordinates and describe translation.

Year 5 – Chapter 11 – Position and Direction: Position and Movement

To name and plot points, describe the position of a shape following translation, to describe movements and reflect shapes and to reflect a shape more than once.

10

Fractions, Decimals and Percentages: Decimals.

(3 weeks)

-          To read and write decimals to thousandths.

-          To divide whole numbers by larger whole numbers.

-          To divide whole numbers that give rise to decimals.

-          To convert fractions into decimals using the bar model and long division.

-          To write fractions as decimals using long division as a key strategy.

-          To multiply decimals by whole numbers using partitioning or the worded method to help find the solution.

-          To multiply whole numbers that include a decimal by other whole numbers.

-          To multiply decimals by whole numbers including regrouping and renaming.

-          To multiply decimals by whole numbers using a variety of methods.

-          To divide decimals using number bonds and number discs.

-          To divide decimals using the bar model, number bond and long division.

-          To multiply decimals by a 2-digit number whole number.

-          To divide decimals by 2-digit numbers.

Prior Learning –

Year 4- Chapter 9 – Decimals.

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

Year 5 – Chapter 7- Decimals

To compare decimals, to add and subtract fractions and round decimals to the nearest whole.

 

Measurement: Area and Perimeter (2 weeks)

-          To find the area and perimeter or rectangles.

-          To calculate perimeter using the known area and vice versa.

-          To identify the base and height of a triangle.

-          To determine and solve the area of a triangle.

-          To use and apply the formula for the area of a rectangle to solve problems involving triangles.

-          To find the area of a parallelogram using an understanding of triangles.

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.

Year 5 – Chapter 13 – Measurement: Area and Perimeter

To find the perimeter and area of rectangles, rectilinear shapes. To estimate the area of irregular shapes on a grid.

Review and Revision

End of Year Test and revision (3 weeks)

 

11

12

Geometry – Properties of Shapes: Geometry

-          To investigate opposite angles to solve problems.

-          To solve problems involving angles using the bar model to solve problems involving angles without a protractor.

-          To determine and show the sum of angles inside a triangle.

-          To investigate and determine angles in quadrilaterals.

Prior Learning –

Year 4- Chapter 13 – Geometry

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

Year 5 – Chapter 10  - Geometry

To name acute, obtuse and reflex angles. To measure using a protractor. To identify 2 angles that add up to 180 degrees. Combine angles to make 360 degrees. To draw angles using a protractor. To describe the angles of rectangles and squares. To investigate the angles of various quadrilaterals.