Year 6 Maths Scheme of Work

Transcription

1 Year 6 National Curriculum The Year 6 cohort will be using the old national curriculum as this is what will be used for the KS2 SATs Below are the objectives students are required to meet to achieve the age related expectation of a level 4b. a. Can read and write whole numbers and decimal numbers up to 3 places b. Can order large numbers and numbers up to 3 decimal places c. Can round large numbers and numbers up to 2 decimal places d. Can use place value to multiply whole numbers by 10 or 100 e. Can use place value to divide whole numbers by 10 or 100 f. Can recognise and describe number patterns for adding and subtracting sequences g. Can recognise and describe multiples h. Can recognise and describe factors i. Can recognise and describe square numbers Fractions, Decimals, Percentages and Ratio a. Can recognise approximate proportions of a whole number using fractions b. Can understand and use decimals c. Can recognise approximate proportions of a whole number using percentages d. Can convert mixed numbers to improper fractions e. Can convert improper fractions to mixed numbers f. Can understand, use and apply simple ratio to a real problem Knowing and Using number facts: operations, relationships between them a. Can use inverse operations to find missing numbers, including decimals b. Can 'undo' a two step problem c. Can understand 'balancing sums' including use of division d. Can understand the use of brackets in simple calculations Mental Methods a. Can use mental methods of computation for addition

2 b. Can use mental methods of computation for subtraction c. Can use mental methods of computation for multiplication d Can use mental methods of computation for division e. Can recall multiplication facts up to and quickly derive corresponding division facts f. Can use tables and place value calculations with multiples of 10 a. Can solve problems choosing an appropriate mental or written strategy b. Can solve two step problems choosing appropriate operations c. Can interpret calculator display within context. (eg measures, money) d. Can carry out simple calculations involving negative numbers in context Algebra a. Can begin to use simple formulae expressed in words b. Can use and interpret coordinates in the first quadrant Written Methods a. Can use efficient written methods of addition b. Can use efficient written methods of subtraction c. Can use efficient written methods of multiplication d. Can use efficient written methods of division e. Can multiply a simple decimal by a single digit f. Can add with decimals to two places (including money) g. Can subtract with decimals to two places (including money) Understanding Shapes and the Properties of Shapes a. Can name 2D and 3D shapes and describe their properties b. Can recognise nets of familiar 3D shapes c. Can identify the lines of symmetry of 2D shapes d. Can use mathematical terms such as horizontal, vertical and congruent e. Can classify shapes according to their properties

3 Properties of Position and Movement a. Can reflect simple shapes in a mirror line b. Can begin to rotate a simple shape or object about its centre or a vertex c. Can translate shapes horizontally or vertically d. Can complete two sides of a rectangle which has two sides drawn at an oblique angle to the grid a. Can choose and use appropriate units and instruments b. Can interpret, with appropriate accuracy, numbers on a range of measuring instruments c. Can measure a length in mm to within 2mm d. Can measure and draw acute and obtuse angles to the nearest 5 degrees when one edge is vertical/horizontal e. Can find perimeters of simple shapes f. Can find area by counting squares and part squares g. Can use analogue units of time h. Can use digital units of time i. Can calculate time durations that go over one hour j. Can read and interpret timetables and calendars Processing and Representing Data a. Can record discrete data using a frequency table b. Can represent collected data in frequency diagrams c. Can suggest an appropriate frequency diagram, pie chart, Venn diagram or pictogram d. Can use symbols in pictograms to denote a quantity e. Can construct simple line graphs f. Can decide upon an appropriate scale g. Can use Venn and Carroll diagrams to record their sorting and classifying of information Interpreting Data a. Can understand and use the mode and range to describe sets of data b. Can interpret frequency diagrams and simple line graphs

4 c. Can interpret simple pie charts d. Can interpret the scale on bar graphs and line graphs, reading between labelled divisions e. Can compare data sets and respond to simple questions. f. Can, in the context of data relating to everyday situations, understand the language of probability; more likely, equally likely, fair, unfair, certain. Problem Solving a. Can break down one and two-step problems involving whole numbers and decimals and all four operations b. Can solve a puzzle or problem by selecting the appropriate mathematical information, calculations, methods or tools d. Can consider alternative methods for solving a problem and the appropriateness or efficiency of each method, likely, fair, unfair, certain. Communicating a. Can present information and results in a clear and organised way b. Can choose appropriate images or symbols to represent a problem Reasoning a. Can check and interpret solutions within the context of a problem b. Can check the reasonableness of results with reference to the context or size of numbers c. Can identify and explore patterns, properties and relationships and propose a general statement involving numbers or shapes Weekly Overview Day Monday Tuesday Wednesday Thursday Friday Focus Assessment Monday Numbers and the Number System Numbers and the Number System Pattern/Algebra Geometry/Measurement

5 Year Six Long Term Plan Autumn 1 Week 1 (W/B ) NC Learning Objectives Can read and write whole numbers and decimal numbers up to 3 places Can order large numbers and numbers up to 3 decimal places 2 (W/B ) 3 (W/B ) 4 (W/B ) Can round large numbers and numbers up to 2 decimal places Mental Methods Can use mental methods of computation for addition Can use mental methods of computation for subtraction Knowing and Using number facts: operations, relationships between them Can use inverse operations to find missing numbers, including decimals Can use place value to multiply whole numbers by 10 or 100 Can use place value to divide whole numbers by 10 or 100 Mental Methods Can use mental methods of computation for multiplication Can use mental methods of computation for division Can recall multiplication facts up to and quickly derive corresponding division facts Can use tables and place value calculations with multiples of 10 Can use place value to multiply whole numbers by 10 or 100 Can use place value to divide whole numbers by 10 or 100 Can choose and use appropriate units and instruments Can interpret, with appropriate accuracy, numbers on a range of measuring instruments Can measure a length in mm to within 2mm 5 Can recognise and describe number patterns for adding and subtracting sequences

6 (W/B ) Written Methods Can use efficient written methods of addition Can use efficient written methods of subtraction Knowing and Using number facts: operations, relationships between them Can use inverse operations to find missing numbers, including decimals Can solve problems choosing an appropriate mental or written strategy Reasoning Can check and interpret solutions within the context of a problem Can check the reasonableness of results with reference to the context or size of numbers 6 (W/B ) 7 (W/B ) Can recognise and describe multiples Can recognise and describe factors Written Methods Can use efficient written methods of multiplication Can use efficient written methods of division Knowing and Using number facts: operations, relationships between them Can use inverse operations to find missing numbers, including decimals Can solve problems choosing an appropriate mental or written strategy Milestone Assessment Geometry, Measurement and Statistics (AP1): Can choose and use appropriate units and instruments Can interpret, with appropriate accuracy, numbers on a range of measuring instruments Can measure a length in mm to within 2mm Can record discrete data using a frequency table Can represent collected data in frequency diagrams Can use symbols in pictograms to denote a quantity Can construct simple line graphs Can construct simple bar graphs Can decide upon an appropriate scale Can interpret frequency diagrams and simple line graphs Can interpret the scale on bar graphs and line graphs, reading between labelled divisions Can compare data sets and respond to simple questions Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP1): Can read and write whole numbers and decimal numbers up to 3 places Can order large numbers and numbers up to 3 decimal places Can round large numbers and numbers up to 2 decimal places Can use mental methods of computation for addition Can use mental methods of computation for subtraction Can use inverse operations to find missing numbers, including decimals Can solve problems choosing an appropriate mental or written strategy Can use place value to multiply whole numbers by 10 or 100 Can use place value to divide whole numbers by 10 or 100 Can use mental methods of computation for multiplication Can use mental methods of computation for division Can recall multiplication facts up to and quickly derive corresponding division facts Can use tables and place value calculations with multiples of 10 Can solve problems choosing an appropriate mental or written strategy Can recognise and describe number patterns for adding and subtracting sequences Can use efficient written methods of addition Can use efficient written methods of subtraction Can check and interpret solutions within the context of a problem Can check the reasonableness of results with reference to the context or size of numbers Can recognise and describe multiples

7 Can recognise and describe factors Can use efficient written methods of multiplication Can use efficient written methods of division 8 (W/B ) Processing and Representing Data Can record discrete data using a frequency table Can represent collected data in frequency diagrams Can use symbols in pictograms to denote a quantity Can construct simple line graphs Can construct simple bar graphs Can decide upon an appropriate scale Interpreting Data: Can interpret frequency diagrams and simple line graphs Can interpret the scale on bar graphs and line graphs, reading between labelled divisions Can compare data sets and respond to simple questions.

8 Autumn 2 Week 1 (W/B ) 2 (W/B ) 3 (W/B ) 4 (W/B ) 5 (W/B ) 6 (W/B ) NC Learning Objectives Properties of Position and Movement Can reflect simple shapes in a mirror line Can complete two sides of a rectangle which has two sides drawn at an oblique angle to the grid Understanding Shapes and the Properties of Shapes Can identify the lines of symmetry of 2D shapes Fractions, Decimals, Percentages and Ratio Can understand and use decimals Can recognise approximate proportions of a whole number using fractions Can solve two step problems choosing appropriate operations Properties of Position and Movement Can translate shapes horizontally or vertically Fractions, Decimals, Percentages and Ratio Can convert mixed numbers to improper fractions Can convert improper fractions to mixed numbers Can solve two step problems choosing appropriate operations Properties of Position and Movement Can begin to rotate a simple shape or object about its centre or a vertex Fractions, Decimals, Percentages and Ratio Can recognise approximate proportions of a whole number using percentages Can measure and draw acute and obtuse angles to the nearest 5 degrees when one edge is vertical/horizontal Can solve two step problems choosing appropriate operations Can measure and draw acute and obtuse angles to the nearest 5 degrees when one edge is vertical/horizontal Processing and Representing Data Can construct pie charts Interpreting Data Can interpret simple pie charts Fractions, Decimals, Percentages and Ratio Can understand, use and apply simple ratio to a real problem Interpreting Data Can, in the context of data relating to everyday situations, understand the language of probability; more likely, equally likely, fair, unfair, certain. Can solve two step problems choosing appropriate operations Milestone Assessment Geometry, Measurement and Statistics (AP2): Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP2): Can reflect simple shapes in a mirror line Can understand and use decimals Can complete two sides of a rectangle which has two sides drawn at an oblique angle to the grid Can recognise approximate proportions of a whole number using fractions

9 Can identify the lines of symmetry of 2D shapes Can translate shapes horizontally or vertically Can begin to rotate a simple shape or object about its centre or a vertex Can construct pie charts Can interpret simple pie charts Can, in the context of data relating to everyday situations, understand the language of probability; more likely, equally likely, fair, unfair, certain. Can measure and draw acute and obtuse angles to the nearest 5 degrees when one edge is vertical/horizontal Can solve two step problems choosing appropriate operations Can convert mixed numbers to improper fractions Can convert improper fractions to mixed numbers Can solve two step problems choosing appropriate operations Can recognise approximate proportions of a whole number using percentages Can understand, use and apply simple ratio to a real problem Can multiply a simple decimal by a single digit Can add with decimals to two places (including money) Can subtract with decimals to two places (including money) 7 (W/B ) Can solve two step problems choosing appropriate operations Written Methods Can multiply a simple decimal by a single digit Can add with decimals to two places (including money) Can subtract with decimals to two places (including money)

10 Spring 1 Week 1 (W/B ) 2 (W/B ) 3 (W/B ) 4 (W/B ) NC Learning Objectives Can recognise and describe square numbers Understanding Shapes and the Properties of Shapes Can name 2D and 3D shapes and describe their properties Can use mathematical terms such as horizontal, vertical and congruent Algebra Can use and interpret coordinates in the first quadrant Geometry Complete the coordinates of the corners of a named shape using knowledge of its properties Complete the drawing of a named, partially-drawn shape on a pair of axes Use equivalent fractions in calculations using each of the four operations Understanding Shapes and the Properties of Shapes Can recognise nets of familiar 3D shapes Can classify shapes according to their properties Processing and Representing Data Can use Venn and Carroll diagrams to record their sorting and classifying of information Can use analogue units of time Can use digital units of time Calculate the size of the two equal angles in an isosceles triangle Calculate angles in triangles, straight lines and quadrilaterals Can calculate time durations that go over one hour Can read and interpret timetables and calendars Interpret and read a scale to measure mass Solve problems involving ratio and proportion by scaling up or scaling down 5 (W/B ) Milestone Assessment Geometry, Measurement and Statistics (AP3): Can name 2D and 3D shapes and describe their properties Can use mathematical terms such as horizontal, vertical and congruent Can use and interpret coordinates in the first quadrant Complete the coordinates of the corners of a named shape using knowledge of its properties Complete the drawing of a named, partially-drawn shape on a pair of axes Can recognise nets of familiar 3D shapes Can classify shapes according to their properties Can use Venn and Carroll diagrams to record their sorting and classifying of information Can use analogue units of time Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP3): Can recognise and describe square numbers Use equivalent fractions in calculations using each of the four operations Solve problems involving ratio and proportion by scaling up or scaling down Can understand and use the mode, mean, median and range to describe sets of data Can present information and results in a clear and organised way Can identify and explore patterns, properties and relationships and propose a general statement involving numbers or shapes

11 6 (W/B ) Can use digital units of time Calculate the size of the two equal angles in an isosceles triangle Calculate angles in triangles, straight lines and quadrilaterals Can calculate time durations that go over one hour Can read and interpret timetables and calendars Interpret and read a scale to measure mass Can suggest an appropriate frequency diagram, pie chart, Venn diagram or pictogram Can present information and results in a clear and organised way Interpreting Data Can understand and use the mode, mean, median and range to describe sets of data Processing and Representing Data Can suggest an appropriate frequency diagram, pie chart, Venn diagram or pictogram Communicating Can present information and results in a clear and organised way Reasoning Can identify and explore patterns, properties and relationships and propose a general statement involving numbers or shapes

12 Spring 2 Week 1 (W/B ) NC Learning Objectives Can carry out simple calculations involving negative numbers in context Use equivalent fractions in calculations using each of the four operations Can find perimeters of simple shapes Can find area by counting squares and part squares 2 (W/B ) 3 (W/B ) Can carry out simple calculations involving negative numbers in context Use equivalent fractions in calculations using each of the four operations Can find perimeters of simple shapes Can find area by counting squares and part squares Algebra Can begin to use simple formulae expressed in words Knowing and Using number facts: operations, relationships between them Can understand the use of brackets in simple calculations Can 'undo' a two step problem Can understand 'balancing sums' including use of division 4 (W/B ) 5 Communicating Milestone Assessment Geometry, Measurement and Statistics (AP4): Can find perimeters of simple shapes Can find area by counting squares and part squares Milestone Assessment Calculating, Numbers and the Number System, Pattern and Algebra (AP4): Can carry out simple calculations involving negative numbers in context Use equivalent fractions in calculations using each of the four operations Can carry out simple calculations involving negative numbers in context Use equivalent fractions in calculations using each of the four operations Can begin to use simple formulae expressed in words Can understand the use of brackets in simple calculations Can 'undo' a two step problem Can understand 'balancing sums' including use of division Can choose appropriate images or symbols to represent a problem Can break down one and two-step problems involving whole numbers and decimals and all four operations Can solve a puzzle or problem by selecting the appropriate mathematical information, calculations, methods or tools Can consider alternative methods for solving a problem and the appropriateness or efficiency of each method, likely, fair, unfair, certain.

13 (W/B ) Can choose appropriate images or symbols to represent a problem Problem Solving Can break down one and two-step problems involving whole numbers and decimals and all four operations Can solve a puzzle or problem by selecting the appropriate mathematical information, calculations, methods or tools Can consider alternative methods for solving a problem and the appropriateness or efficiency of each method, likely, fair, unfair, certain.

14 Summer 1 All objectives have been covered. A robust assessment will be carried out in Spring 2 to determine what needs to be recapped during the four weeks leading up to KS2 SATs week Week 1 (W/B ) NC Learning Objectives 2 (W/B ) 3 (W/B ) 4 (W/B ) 5 KS2 SATs (W/B ) 6 (W/B )

15 Summer 2 KS3 Transition period planning to be covered with key secondary schools. Week 1 (W/B ) NC Learning Objectives 2 (W/B ) 3 (W/B ) 4 (W/B ) 5 (W/B ) 6 (W/B ) 7 (W/B )