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

Similar documents
Charlesworth School Year Group Maths Targets

Primary Curriculum 2014

My Year 1 Maths Targets

CAMI Education linked to CAPS: Mathematics

MATHS LEVEL DESCRIPTORS

Numeracy Targets. I can count at least 20 objects

Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Florida Math Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower

Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley Chapter 1: Place, Value, Adding, and Subtracting

Mathematics standards

Bridging Documents for Mathematics

National curriculum tests. Key stage 2. Mathematics test framework. National curriculum tests from For test developers

FOREWORD. Executive Secretary

Number Sense and Operations

Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.

Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3

ModuMath Basic Math Basic Math Naming Whole Numbers Basic Math The Number Line Basic Math Addition of Whole Numbers, Part I

LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,

Illinois State Standards Alignments Grades Three through Eleven

NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5

The National Curriculum 2014 Programmes of Study for Mathematics

Summary Of Mental Maths Targets EYFS Yr 6. Year 3. Count from 0 in multiples of 4 & 8, 50 & 100. Count back in 100s, 10s, 1s eg.

Year 3 Year 4 Year 5 Year 6. Strand 1 Number

Mathematics K 6 continuum of key ideas

Assessment Anchors and Eligible Content

Autumn - 12 Weeks. Spring 11 Weeks. Summer 12 Weeks. Not As We Know It Limited 2014

Quick Reference ebook

The Australian Curriculum Mathematics

MACMILLAN/McGRAW-HILL. MATH CONNECTS and IMPACT MATHEMATICS WASHINGTON STATE MATHEMATICS STANDARDS. ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs)

Number and Place Value. September Year 3 Year 4 Year 5 Year 6

Tennessee Mathematics Standards Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes

Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, , , 4-9

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

Mathematics Scope and Sequence, K-8

NEW MEXICO Grade 6 MATHEMATICS STANDARDS

Higher Education Math Placement

Everyday Mathematics. Grade 4 Grade-Level Goals CCSS EDITION. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goal

Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

of surface, , , of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Manitoba Curriculum. Alignment with Mathletics. Supported by independent evidence-based research and practice. Powerful reporting.

How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

Everyday Mathematics GOALS

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

Common Core Unit Summary Grades 6 to 8

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

Florida Department of Education/Office of Assessment January Grade 6 FCAT 2.0 Mathematics Achievement Level Descriptions

Key Stage 2 Mathematics Programme of Study

Grade 5 Math Content 1

Students are able to represent and solve problems involving multiplication and division.

Curriculum Overview YR 9 MATHS. SUPPORT CORE HIGHER Topics Topics Topics Powers of 10 Powers of 10 Significant figures

COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS

Math - 5th Grade. two digit by one digit multiplication fact families subtraction with regrouping

Key Topics What will ALL students learn? What will the most able students learn?

Autumn 1 Maths Overview. Year groups Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 1 Number and place value. Counting. 2 Sequences and place value.

Everyday Mathematics. Grade 4 Grade-Level Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goals

Standards and progression point examples

Numeracy and mathematics Experiences and outcomes

Prentice Hall Mathematics: Course Correlated to: Arizona Academic Standards for Mathematics (Grades 6)

Prentice Hall: Middle School Math, Course Correlated to: New York Mathematics Learning Standards (Intermediate)

Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

ISAT Mathematics Performance Definitions Grade 4

numerical place value additional topics rounding off numbers power of numbers negative numbers addition with materials fundamentals

MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab

Prentice Hall Connected Mathematics 2, 7th Grade Units 2009

Voyager Sopris Learning Vmath, Levels C-I, correlated to the South Carolina College- and Career-Ready Standards for Mathematics, Grades 2-8

Big Ideas in Mathematics

Major Work of the Grade

Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

Questions. Strategies August/September Number Theory. What is meant by a number being evenly divisible by another number?

Grade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills

Exercise Worksheets. Copyright Susan D. Phillips

r the COR Common Core State Standards Learning Pathways

Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum.

Consumer Math 15 INDEPENDENT LEAR NING S INC E Consumer Math

Math 0306 Final Exam Review

Common Core State Standards for Mathematics Accelerated 7th Grade

The symbols indicate where the topic is first introduced or specifically addressed.

CCSS Mathematics Implementation Guide Grade First Nine Weeks

BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1

MATH 60 NOTEBOOK CERTIFICATIONS

Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)

Unit 9. Unit 10. Unit 11. Unit 12. Introduction Busy Ant Maths Year 2 Medium-Term Plans. Number - Geometry - Position & direction

Cambridge Primary Mathematics Curriculum Framework (with codes)

Algebra 1: Basic Skills Packet Page 1 Name: Integers ( 30) ( 4)

WORK SCHEDULE: MATHEMATICS 2007

Vocabulary Cards and Word Walls Revised: June 29, 2011

Senior Phase Grade 8 Today Planning Pack MATHEMATICS

Grade 5 Common Core State Standard

Academic Standards for Mathematics

Florida Math Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper

Such As Statements, Kindergarten Grade 8

Functional Math II. Information CourseTitle. Types of Instruction

Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Section 1: How will you be tested? This section will give you information about the different types of examination papers that are available.

Algebra Academic Content Standards Grade Eight and Grade Nine Ohio. Grade Eight. Number, Number Sense and Operations Standard

Mathematics. GCSE subject content and assessment objectives

Fourth Grade Math Standards and "I Can Statements"

Medium term Plans for Spring Year 5

Unit 1: Integers and Fractions

Transcription:

: 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. 0.375) 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.

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

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

: 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.

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. 67 5 = 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

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).

: 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).

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. 67 5 = 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

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).

: 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. 0.375) 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.

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).

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

: 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

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.

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).

: 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).

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. 67 5 = 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.

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