Fractions Associate a fraction with division to calculate decimal fraction equivalents (e.g ) for a simple fraction (e.g. 3/8).

Transcription

1 : Autumn 1 Numeracy Curriculum Objectives Number, Place Value and Rounding Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Round any whole number to a required degree of accuracy. Solve number problems and practical problems that involve all of the above. Addition, Subtraction, Multiplication and Division Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the efficient written method of long multiplication. Divide numbers up to 4 digits by a two-digit whole number using the efficient written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context. Perform mental calculations, including with mixed operations and large numbers. Identify common factors, common multiples and prime numbers. Use estimations, inverse operations and tests of divisibility to check answers to calculations and determine, in the context of a problem, levels of accuracy. Find the difference between a positive and a negative integer, or two negative integers, in context (renewed framework). Use knowledge of place value and multiplication facts to 12 x 12, and corresponding squares of multiples, to derive related multiplication and division facts, calculate mentally with integers and decimals: to one decimal place (renewed framework). Calculate mentally with integers and decimals: U.t + U.t, TU x U, TU U, U.t U (renewed framework). Fractions Associate a fraction with division to calculate decimal fraction equivalents (e.g ) for a simple fraction (e.g. 3/8). Decimals and Fractions Identify the value of each digit up to three decimal places and multiple and divide numbers by 10, 100 and 1000 where the answers are up to three decimal places. Solve problems which require answers to be rounded to specified degrees of accuracy.

2 Percentages, Decimals and Fractions Solve problems involving calculation of percentages of whole numbers or measures such as 15% of 360 and the use of percentages for comparison. Ratio and Proportion Algebra Express missing number problems algebraically. Use simple formulae expressed in words. Generate and describe linear number sequences. Find pairs of numbers that satisfy number sentences involving two unknowns. Measures Solve problems involving the calculation and conversion of units of measure, using decimal notation to three decimal places where appropriate. Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to three decimal places. Convert between miles and kilometres. Recognise that shapes with the same areas can have different perimeters and vice versa. Calculate the area of parallelograms and triangles. Recognise when it is necessary to use the formulae for area and volume of shapes. Read and interpret scales on a range of measuring instruments, recognising that the measurement made is approximate and recording results to a required degree of accuracy; compare readings on different scales, for example when using different instruments (renewed framework). Calculate, estimate and compare volumes of cubes and cuboids using standard units, including centimetre cubed (cm 3 ) and cubic

3 metres (m 3 ) and extending to other units, such as mm 3 and km 3. Geometry: Properties of Shapes Recognise, describe and build simple 3-D shapes, including making nets. Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilerals, and regular polygons. Illustrate and name parts of circles, including radius, diameter and circumference. Geometry: Position, Direction, Motion Data

4 : Autumn 2 Numeracy Curriculum Objectives Number, Place Value and Rounding Use negative numbers in context, and calculate intervals across zero. Solve number problems and practical problems that involve all of the above. Addition, Subtraction, Multiplication and Division Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the efficient written method of long multiplication. Divide numbers up to 4 digits by a two-digit whole number using the efficient written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context. Use their knowledge of the order of operations to carry out calculations involving the four operations. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Solve problems involving addition, subtraction, multiplication and division. Use estimations, inverse operations and tests of divisibility to check answers to calculations and determine, in the context of a problem, levels of accuracy. Use knowledge of place value and multiplication facts to 12 x 12, and corresponding squares of multiples, to derive related multiplication and division facts, calculate mentally with integers and decimals: to one decimal place (renewed framework). Fractions Use common factors to simplify fractions; use common multiples to express fractions in the same denomination. Compare and order fractions, including fractions > 1. Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions. Multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. ¼ x ½ = 1/8). Divide proper fractions by whole numbers (e.g. 1/3 2 = 1/6). Decimals and Fractions Multiply one-digit numbers with up to two decimal places by whole numbers.

5 Use written division methods in cases where the answer has up to two decimal places. Percentages, Decimals and Fractions Solve problems involving the calculation of percentages of whole numbers of measures such as 15% of 360 and the use of percentages for comparison. Express a quotient as a fraction or decimal (e.g = 13.4 or 13 2/5) (renewed framework). Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage (renewed framework). Ratio and Proportion Solve problems involving the relative sizes of two quantities, including similarity. Solve problems involving unequal sharing and grouping. Algebra Measures Solve problems involving the calculation and conversion of units of measure, using decimal notation to three decimal places where appropriate. Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to three decimal places. Read and interpret scales on a range of measuring instruments, recognising that the measurement made is approximate and recording results to a required degree of accuracy; compare readings on different scales, for example when using different instruments (renewed framework). Geometry: Properties of Shapes

6 Geometry: Position, Direction, Motion Describe positions on the full coordinate grid (all four quadrants). Draw and translate simple shapes on the coordinate plane, and reflect them in the axes. Data Interpret and construct pie charts and line graphs and use these to solve problems. Calculate and interpret the mean as an average. Describe and interpret results and solutions to problems using the mode, range, median and mean (renewed framework).

7 : Spring 1 Numeracy Curriculum Objectives Number, Place Value and Rounding Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Round any whole number to a required degree of accuracy. Solve number problems and practical problems that involve all of the above. Addition, Subtraction, Multiplication and Division Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the efficient written method of long multiplication. Divide numbers up to 4 digits by a two-digit whole number using the efficient written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context. Identify common factors, common multiples and prime numbers. Use their knowledge of the order of operations to carry out calculations involving the four operations. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Solve problems involving addition, subtraction, multiplication and division. Use estimations, inverse operations and tests of divisibility to check answers to calculations and determine, in the context of a problem, levels of accuracy. Use knowledge of place value and multiplication facts to 12 x 12, and corresponding squares of multiples, to derive related multiplication and division facts, calculate mentally with integers and decimals: to one decimal place (renewed framework). Fractions Use common factors to simplify fractions; use common multiples to express fractions in the same denomination. Compare and order fractions, including fractions > 1. Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions. Multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. ¼ x ½ = 1/8). Divide proper fractions by whole numbers (e.g. 1/3 2 = 1/6).

8 Decimals and Fractions Identify the value of each digit up to three decimal places and multiple and divide numbers by 10, 100 and 1000 where the answers are up to three decimal places. Percentages, Decimals and Fractions Solve problems involving the calculation of percentages of whole numbers of measures such as 15% of 360 and the use of percentages for comparison. Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. Express a quotient as a fraction or decimal (e.g = 13.4 or 13 2/5) (renewed framework). Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage (renewed framework). Ratio and Proportion Solve problems involving the relative sizes of two quantities, including similarity. Solve problems involving unequal sharing and grouping. Algebra Measures Solve problems involving the calculation and conversion of units of measure, using decimal notation to three decimal places where appropriate. Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to three decimal places. Calculate, estimate and compare volumes of cubes and cuboids using standard units, including centimetre cubed (cm 3 ) and cubic metres (m 3 ) and extending to other units, such as mm 3 and km 3. Read and interpret scales on a range of measuring instruments, recognising that the measurement made is approximate and

9 recording results to a required degree of accuracy; compare readings on different scales, for example when using different instruments (renewed framework). Geometry: Properties of Shapes Recognise, describe and build simple 3D shapes, including making nets. Geometry: Position, Direction, Motion Data Interpret and construct pie charts and line graphs and use these to solve problems. Calculate and interpret the mean as an average. Describe and interpret results and solutions to problems using the mode, range, median and mean (renewed framework). Describe and predict outcomes from data using the language of chance and likelihood (renewed framework).

10 : Spring 2 Numeracy Curriculum Objectives Number, Place Value and Rounding Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Round any whole number to a required degree of accuracy. Use negative numbers in context and calculate intervals across zero. Solve number problems and practical problems that involve all of the above. Addition, Subtraction, Multiplication and Division Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the efficient written method of long multiplication. Divide numbers up to 4 digits by a two-digit whole number using the efficient written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context. Perform mental calculations, including with mixed operations and large numbers. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Solve problems involving addition, subtraction, multiplication and division. Use estimations, inverse operations and tests of divisibility to check answers to calculations and determine, in the context of a problem, levels of accuracy. Use knowledge of place value and multiplication facts to 12 x 12, and corresponding squares of multiples, to derive related multiplication and division facts, calculate mentally with integers and decimals: to one decimal place (renewed framework). Calculate mentally with integers and decimals: U.t + U.t, TU x U, TU U, U.t U (renewed framework). Fractions Associate a fraction with division to calculate decimal fraction equivalents (e.g ) for a simple fraction (e.g. 3/8). Decimals and Fractions Multiply one-digit numbers with up to two decimal places by whole numbers. Use written division methods in cases where the answer has up to two decimal places.

11 Percentages, Decimals and Fractions Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage (renewed framework). Ratio and Proportion Algebra Express missing number problems algebraically. Use simple formulae expressed in words. Generate and describe linear number sequences. Find pairs of numbers that satisfy number sentences involving two unknowns. Measures Recognise that shapes with the same areas can have different perimeters and vice versa. Calculate the area of parallelograms and triangles. Recognise when it is necessary to use the formulae for area and volume of shapes. Geometry: Properties of Shapes Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons. Illustrate and name parts of circles, including radius, diameter and circumference. Find unknown angles where they meet at a point, are on a straight line, and are vertically opposite. Make and draw shapes with increasing accuracy and apply knowledge of their properties (renewed framework).

12 Geometry: Position, Direction, Motion Describe positions on the full coordinate grid (all four quadrants). Draw and translate simple shapes on the coordinate plane, and reflect them in the axes. Data

13 : Summer 1 Numeracy Curriculum Objectives Number, Place Value and Rounding Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Solve number problems and practical problems that involve all of the above. Addition, Subtraction, Multiplication and Division Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the efficient written method of long multiplication. Divide numbers up to 4 digits by a two-digit whole number using the efficient written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context. Identify common factors, common multiples and prime numbers. Use their knowledge of the order of operations to carry out calculations involving the four operations. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Solve problems involving addition, subtraction, multiplication and division. Use estimations, inverse operations and tests of divisibility to check answers to calculations and determine, in the context of a problem, levels of accuracy. Use knowledge of place value and multiplication facts to 12 x 12, and corresponding squares of multiples, to derive related multiplication and division facts, calculate mentally with integers and decimals: to one decimal place (renewed framework). Calculate mentally with integers and decimals: U.t + U.t, TU x U, TU U, U.t U (renewed framework). Fractions Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions. Multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. ¼ x ½ = 1/8). Divide proper fractions by whole numbers (e.g. 1/3 2 = 1/6). Decimals and Fractions Identify the value of each digit up to three decimal places and multiple and divide numbers by 10, 100 and 1000 where the

14 answers are up to three decimal places. Percentages, Decimals and Fractions Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage (renewed framework). Ratio and Proportion Algebra Express missing number problems algebraically. Use simple formulae expressed in words. Generate and describe linear number sequences. Find pairs of numbers that satisfy number sentences involving two unknowns. Measures Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to three decimal places. Read and interpret scales on a range of measuring instruments, recognising that the measurement made is approximate and recording results to a required degree of accuracy; compare readings on different scales, for example when using different instruments (renewed framework). Geometry: Properties of Shapes Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons. Illustrate and name parts of circles, including radius, diameter and circumference.

15 Find unknown angles where they meet at a point, are on a straight line, and are vertically opposite. Make and draw shapes with increasing accuracy and apply knowledge of their properties (renewed framework). Geometry: Position, Direction, Motion Data Interpret and construct pie charts and line graphs and use these to solve problems. Calculate and interpret the mean as an average. Describe and interpret results and solutions to problems using the mode, range, median and mean (renewed framework). Describe and predict outcomes from data using the language of chance and likelihood (renewed framework).

16 : Summer 2 Numeracy Curriculum Objectives Number, Place Value and Rounding Round any whole number to a required degree of accuracy. Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Solve number problems and practical problems that involve all of the above. Addition, Subtraction, Multiplication and Division Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the efficient written method of long multiplication. Divide numbers up to 4 digits by a two-digit whole number using the efficient written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context. Perform mental calculations, including with mixed operations and large numbers. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Solve problems involving addition, subtraction, multiplication and division. Identify common factors, common multiples and prime numbers. Use estimations, inverse operations and tests of divisibility to check answers to calculations and determine, in the context of a problem, levels of accuracy. Use knowledge of place value and multiplication facts to 12 x 12, and corresponding squares of multiples, to derive related multiplication and division facts, calculate mentally with integers and decimals: to one decimal place (renewed framework). Calculate mentally with integers and decimals: U.t + U.t, TU x U, TU U, U.t U (renewed framework). Fractions Use common factors to simplify fractions; use common multiples to express fractions in the same denomination. Compare and order fractions, including fractions > 1. Multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. ¼ x ½ = 1/8). Divide proper fractions by whole numbers (e.g. 1/3 2 = 1/6).

17 Decimals and Fractions Multiply one-digit numbers with up to two decimal places by whole numbers. Use written division methods in cases where the answer has up to two decimal places. Percentages, Decimals and Fractions Solve problems involving the calculation of percentages of whole numbers or measures such as 15% of 360 and the use of percentages for comparison. Express a quotient as a fraction or decimal (e.g = 13.4 or 13 2/5) (renewed framework). Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage (renewed framework). Ratio and Proportion Solve problems involving the relative sizes of two quantities, including similarity. Solve problems involving unequal sharing and grouping. Algebra Measures Solve problems involving the calculation and conversion of units of measure, using decimal notation to three decimal places where appropriate. Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to three decimal places. Convert between miles and kilometres. Recognise that shapes with the same area can have different perimeters and vice versa. Calculate the area of parallelograms and triangles. Recognise when it is necessary to use the formulae for area and volume of shapes.

18 Calculate, estimate and compare volumes of cubes and cuboids using standard units, including centimetre cubed (cm 3 ) and cubic metres (m 3 ) and extending to other units, such as mm 3 and km 3. Read and interpret scales on a range of measuring instruments, recognising that the measurement made is approximate and recording results to a required degree of accuracy; compare readings on different scales, for example when using different instruments (renewed framework). Geometry: Properties of Shapes Recognise, describe and build simple 3D shapes, including making nets. Geometry: Position, Direction, Motion Data