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
To
Year 6 |
Weeks |
Autumn |
Spring |
Summer |
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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.
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Calculations: Four operations on Whole numbers (4 weeks) | |||||
3 |
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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)
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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. |
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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.
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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. |
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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. |
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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. |
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7 |
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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.
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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. |
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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.
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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)
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11 |
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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. |