Sample scope and sequence showing connections Stage 3



Mathematics Stage 3 – sample scope and sequence Connections within and across strandsContents TOC \o "1-3" \h \z \u Mathematics Stage 3 – sample scope and sequence PAGEREF _Toc71543405 \h 0Tasks PAGEREF _Toc71543406 \h 0Let’s talk 2 PAGEREF _Toc71543407 \h 0Tangrams sequence of learning PAGEREF _Toc71543408 \h 1Possible connections across the year PAGEREF _Toc71543409 \h 1Example connections within Number and algebra PAGEREF _Toc71543410 \h 1Example connections within Measurement and geometry PAGEREF _Toc71543411 \h 3Example connections across strands PAGEREF _Toc71543412 \h 3Early Term 1 PAGEREF _Toc71543413 \h 5Example connections within Number and algebra PAGEREF _Toc71543414 \h 5Example connections within Measurement and geometry PAGEREF _Toc71543415 \h 6Example connections across strands PAGEREF _Toc71543416 \h 7Later Term 1 PAGEREF _Toc71543417 \h 8Example connections within Number and algebra PAGEREF _Toc71543418 \h 8Example connections within Measurement and geometry PAGEREF _Toc71543419 \h 9Example connections across strands PAGEREF _Toc71543420 \h 9Early Term 2 PAGEREF _Toc71543421 \h 10Example connections within Number and algebra PAGEREF _Toc71543422 \h 10Example connections within Measurement and geometry PAGEREF _Toc71543423 \h 12Example connections between strands PAGEREF _Toc71543424 \h 12Later Term 2 PAGEREF _Toc71543425 \h 14Example connections within Number and algebra PAGEREF _Toc71543426 \h 14Example connections within measurement and geometry PAGEREF _Toc71543427 \h 15Example connections across strands PAGEREF _Toc71543428 \h 15Early Term 3 PAGEREF _Toc71543429 \h 17Example connections within Number and algebra PAGEREF _Toc71543430 \h 17Example connections within Measurement and geometry PAGEREF _Toc71543431 \h 18Example connections across strands PAGEREF _Toc71543432 \h 19Later Term 3 PAGEREF _Toc71543433 \h 20Example connections within Number and algebra PAGEREF _Toc71543434 \h 20Example connections across strands PAGEREF _Toc71543435 \h 21Early Term 4 PAGEREF _Toc71543436 \h 23Example connections within Number and algebra PAGEREF _Toc71543437 \h 23Example connections within Measurement and geometry PAGEREF _Toc71543438 \h 24Example connections across strands PAGEREF _Toc71543439 \h 24Later Term 4 PAGEREF _Toc71543440 \h 25Example connections within Number and algebra PAGEREF _Toc71543441 \h 25Example connections within measurement and geometry PAGEREF _Toc71543442 \h 27Example connections across strands PAGEREF _Toc71543443 \h 27TasksExamples of tasks that illustrate connections within and across syllabus strandsLet’s talk 2Video:Let’s talk 2 (Stage 3) Syllabus content areas:Multiplication and divisionPatterns and algebraWhole numberSome of the mathematics:As a mathematician, you can think flexibly about numbers and situations, for example, when you see 15 nines, you can think about:15 tens minus 15 ones 15 eights plus 15 ones10 nines and 5 nines moreYou can use different strategies to solve the same problem.Mathematicians look to the context of a problem and make decisions about what strategies to use. Tangrams sequence of learningVideos:Tangrams 1: exploring trapeziumsTangrams 2: investigating fractionsTangrams 3: reimagining wholesSyllabus content areas: AreaTwo-dimensional spaceFractions and decimalsSome of the mathematics:You can combine two-dimensional shapes to form other shapes, which means that you can also decompose or partition or break apart two-dimensional shapes to form other shapes.This reminds us of how numbers work that inside bigger numbers are smaller numbers, just like inside bigger shapes are smaller shapes.Shapes can look different but have some important characteristics that allow them to be classified in the same way.Shapes can look different but have the same area.You can reimagine or redefine the whole. When you do this, you change the fractional value of the parts.For more rich tasks which connect understanding across content areas, go to the Task cataloguePossible connections across the yearTo assist planning, the following activities are examples of ‘connections’ that may help students to transfer knowledge, understanding and skills between mathematical concepts.Example connections within Number and algebraWhole number and addition and subtraction:Partition numbers of any size in non-standard forms to aid mental calculation Whole numbers and multiplication and division:Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers Partition numbers of any size in non-standard forms to aid mental calculationWhole number and patterns and algebra:Identify and describe factors and multiples of whole numbers and use them to solve problemsModel, identify and describe properties of prime, composite, square and triangular numbersRecognise the location of negative whole numbers in relation to zero and place them on a number lineAddition and subtraction and multiplication and division:Explore the use of brackets and the order of operations when reading and writing number sentencesCreate a simple budgetAddition and subtraction and fractions and decimals:Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominatorAdd and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the otherAdd and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answersInvestigate and calculate simple percentages of quantities including discounts of 10%, 25% and 50% on sale itemsAddition and subtraction, patterns and algebra and fractions and decimals:Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtractionMultiplication and division and fractions and decimals:Multiply fractions by whole numbersUse mental, written and calculator strategies to divide decimals by one-digit whole numbersMultiply and divide decimals by 10, 100 and 1000Multiplication and division and patterns and algebra:Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals signExample connections within Measurement and geometryLength and two-dimensional space:Investigate and find the perimeter of shapesClassify and draw regular and irregular two-dimensional shapes from descriptions of their featuresDescribe and compare the properties of prisms and pyramids in terms of their facesArea and two-dimensional space:Investigating the area of shapesVolume and capacity and three-dimensional space:Investigate strategies to find the volumes of rectangular prismsDescribe and compare the properties of prisms and pyramids in terms of their faces, vertices and edges Three-dimensional space and two-dimensional space:Name prisms and pyramids according to the shape of their baseDescribe and compare properties of prisms and pyramids in terms of their faces, vertices and edgesVisualise and sketch nets for given three-dimensional objects and match objects to their netAngles and two-dimensional space:Identify, name and draw right-angled, equilateral, isosceles and scalene trianglesDescribe angle size in degrees for each angle classificationConstruct, measure, compare and estimate angles in degrees (up to 360°)Example connections across strandsMeasurement and geometry – Number and algebra:Length and addition and subtraction Find perimeters of common two-dimensional shapes and record the strategySolve problems involving length and perimeterLength, whole numbers and fractions and decimalsConvert between kilometres, metres, centimetres and millimetres to compare lengths and distancesFind perimeters of common two-dimensional shapes and record the strategySolve problems involving length and perimeterArea and multiplication and divisionInvestigate strategies to find areas of rectangles (including squares) and record the strategyInvestigate and explain the relationship between the area of triangles and the area of rectanglesVolume and capacity, whole numbers and fractions and decimals Convert between millilitres and litresVolume and capacity and multiplication and divisionInvestigate strategies to find volumes of rectangular prismsMass, whole number and addition and subtractionConvert between kilograms and grams and between kilograms and tonnesTime and whole numbersDraw and interpret timelines using a given scaleTwo-dimensional space and patterns and algebraContinue, create, record and describe geometric and number patterns in wordsPosition and patterns and algebraIdentify and record the coordinates of given points in all four quadrants of the number plane (Cartesian plane) Number and algebra – Statistics and probability:Data and whole numbersPose questions and collect categorical or numerical data by observation or surveyChance and fractions and decimalsList outcomes of chance experiments involving equally likely outcomesRepresent probabilities using fractionsRecognise that probabilities range from 0 to 1Represent probabilities using fractions, decimals and percentagesEarly Term 1Table SEQ Table \* ARABIC 1 Early Term 1 outcomesStrandSubstrand focusOutcomesNumber and algebraWhole numbersAddition and subtractionMultiplication and divisionFractions and decimalsPatterns and algebraMA3-4NAMA3-5NAMA3-6NAMA3-7NAMA3-8NAMeasurement and geometryLengthThree-dimensional spaceAnglesMA3-9MGMA3-14MGMA3-16MGStatistics and probabilityDataMA3-18SPExample connections within Number and algebraWhole number and addition and subtraction:Partition numbers of any size in non-standard forms to aid mental calculation Whole numbers and multiplication and division:Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers Partition numbers of any size in non-standard forms to aid mental calculationWhole number and patterns and algebra:Identify and describe factors and multiples of whole numbers and use them to solve problemsModel, identify and describe properties of prime, composite, square and triangular numbersRecognise the location of negative whole numbers in relation to zero and place them on a number lineAddition and subtraction and multiplication and division:Explore the use of brackets and the order of operations when reading and writing number sentencesCreate a simple budgetAddition and subtraction and fractions and decimals:Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominatorAdd and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the otherAdd and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answersInvestigate and calculate simple percentages of quantities including discounts of 10%, 25% and 50% on sale itemsAddition and subtraction, patterns and algebra and fractions and decimals:Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtractionMultiplication and division and fractions and decimals:Multiply fractions by whole numbersUse mental, written and calculator strategies to divide decimals by one-digit whole numbersMultiply and divide decimals by 10, 100 and 1000Multiplication and division and patterns and algebra:Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals signExample connections within Measurement and geometryThree-dimensional space and two-dimensional space:Name prisms and pyramids according to the shape of their baseDescribe and compare properties of prisms and pyramids in terms of their faces, vertices and edgesVisualise and sketch nets for given three-dimensional objects and match objects to their netAngles and two-dimensional space:Identify, name and draw right-angled, equilateral, isosceles and scalene triangles.Describe angle size in degrees for each angle classificationConstruct, measure, compare and estimate angles in degrees (up to 360°)Example connections across strandsMeasurement and geometry – Number and algebra:Length, whole numbers and fractions and decimalsConvert between kilometres, metres, centimetres and millimetres to compare lengths and distancesFind perimeters of common two-dimensional shapes and record the strategySolve problems involving length and perimeterNumber and algebra – Statistics and probability:Data and whole numbersPose questions and collect categorical or numerical data by observation or surveyLater Term 1Table SEQ Table \* ARABIC 2 Later Term 1 outcomesStrandSubstrand focusOutcomesNumber and algebraWhole numbersAddition and subtractionMultiplication and divisionFractions and decimalsMA3-4NAMA3-5NAMA3-6NAMA3-7NAMeasurement and geometryAreaTimeTwo-dimensional spacePositionMA3-10MGMA3-13MGMA3-15MGMA3-17MGStatistics and probabilityDataMA3-18SPExample connections within Number and algebraWhole number and addition and subtraction:Partition numbers of any size in non-standard forms to aid mental calculation Whole numbers and multiplication and division:Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers Partition numbers of any size in non-standard forms to aid mental calculationWhole number and patterns and algebra:Identify and describe factors and multiples of whole numbers and use them to solve problemsModel, identify and describe properties of prime, composite, square and triangular numbersRecognise the location of negative whole numbers in relation to zero and place them on a number lineAddition and subtraction and multiplication and division:Explore the use of brackets and the order of operations when reading and writing number sentencesCreate a simple budgetAddition and subtraction and fractions and decimals:Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominatorAdd and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the otherAdd and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answersInvestigate and calculate simple percentages of quantities including discounts of 10%, 25% and 50% on sale itemsAddition and subtraction, patterns and algebra and fractions and decimals:Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtractionMultiplication and division and fractions and decimals:Multiply fractions by whole numbersUse mental, written and calculator strategies to divide decimals by one-digit whole numbersMultiply and divide decimals by 10, 100 and 1000Multiplication and division and patterns and algebra:Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals signExample connections within Measurement and geometryArea and two-dimensional space:Investigating the area of shapesExample connections across strandsMeasurement and geometry – Number and algebra:Area and multiplication and divisionInvestigate strategies to find areas of rectangles (including squares) and record the strategyInvestigate and explain the relationship between the area of triangles and the area of rectanglesTime and whole numbersDraw and interpret timelines using a given scaleTwo-dimensional space and patterns and algebraContinue, create, record and describe geometric and number patterns in wordsPosition and patterns and algebraIdentify and record the coordinates of given points in all four quadrants of the number plane (Cartesian plane) Numbers and algebra – Statistics and probability:Data and whole numbers Pose questions and collect categorical or numerical data by observation or surveyEarly Term 2Table SEQ Table \* ARABIC 3 Early Term 2 outcomesStrandSubstrand focusOutcomesNumber and algebraAddition and subtractionMultiplication and divisionFractions and decimalsPatterns and algebraMA3-5NAMA3-6NAMA3-7NAMA3-8NAMeasurement and geometryLengthVolume and capacityThree-dimensionalTwo-dimensional spaceMA3-9MGMA3-11MGMA3-14MGMA3-15MGExample connections within Number and algebraWhole number and addition and subtraction:Partition numbers of any size in non-standard forms to aid mental calculation Whole numbers and multiplication and division:Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers Partition numbers of any size in non-standard forms to aid mental calculationWhole number and patterns and algebra:Identify and describe factors and multiples of whole numbers and use them to solve problemsModel, identify and describe properties of prime, composite, square and triangular numbersRecognise the location of negative whole numbers in relation to zero and place them on a number lineAddition and subtraction and multiplication and division:Explore the use of brackets and the order of operations when reading and writing number sentencesCreate a simple budgetAddition and subtraction and fractions and decimals:Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominatorAdd and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the otherAdd and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answersInvestigate and calculate simple percentages of quantities including discounts of 10%, 25% and 50% on sale itemsAddition and subtraction, patterns and algebra and fractions and decimals:Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtractionMultiplication and division and fractions and decimals:Multiply fractions by whole numbersUse mental, written and calculator strategies to divide decimals by one-digit whole numbersMultiply and divide decimals by 10, 100 and 1000Multiplication and division and patterns and algebra:Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals signExample connections within Measurement and geometryLength and two-dimensional space:Investigate and find the perimeter of shapesClassify and draw regular and irregular two-dimensional shapes from descriptions of their featuresDescribe and compare the properties of prisms and pyramids in terms of their facesVolume and capacity and three-dimensional space:Investigate strategies to find the volumes of rectangular prismsDescribe and compare the properties of prisms and pyramids in terms of their faces, vertices and edges Three-dimensional space and two-dimensional space:Name prisms and pyramids according to the shape of their base Describe and compare properties of prisms and pyramids in terms of their faces, vertices and edgesVisualise and sketch nets for given three-dimensional objects and match objects to their netExample connections between strandsMeasurement and geometry – Number and algebra:Length, whole numbers and fractions and decimalsConvert between kilometres, metres, centimetres and millimetres to compare lengths and distancesLength and addition and subtractionFind perimeters of common two-dimensional shapes and record the strategySolve problems involving length and perimeterVolume and capacity, whole numbers and fractions and decimals Convert between millilitres and litresVolume and capacity and multiplication and divisionInvestigate strategies to find volumes of rectangular prismsLater Term 2Table SEQ Table \* ARABIC 4 Later Term 2 outcomesStrandSubstrand focusOutcomesNumber and AlgebraWhole numbersAddition and subtractionMultiplication and divisionFractions and decimalsMA3-4NAMA3-5NAMA3-6NAMA3-7NAMeasurement and GeometryMassTwo-dimensional spaceAnglesMA3-12MGMA3-15MGMA3-16MGStatistics and ProbabilityDataChanceMA3-18SPMA3-19SPExample connections within Number and algebraWhole number and addition and subtraction:Partition numbers of any size in non-standard forms to aid mental calculation Whole numbers and multiplication and division:Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers Partition numbers of any size in non-standard forms to aid mental calculationWhole number and patterns and algebra:Identify and describe factors and multiples of whole numbers and use them to solve problemsModel, identify and describe properties of prime, composite, square and triangular numbersRecognise the location of negative whole numbers in relation to zero and place them on a number lineAddition and subtraction and multiplication and division:Explore the use of brackets and the order of operations when reading and writing number sentencesCreate a simple budgetAddition and subtraction and fractions and decimals:Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominatorAdd and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the otherAdd and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answersInvestigate and calculate simple percentages of quantities including discounts of 10%, 25% and 50% on sale itemsAddition and subtraction, patterns and algebra and fractions and decimals:Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtractionMultiplication and division and fractions and decimals:Multiply fractions by whole numbersUse mental, written and calculator strategies to divide decimals by one-digit whole numbersMultiply and divide decimals by 10, 100 and 1000Multiplication and division and patterns and algebra:Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals signExample connections within measurement and geometryTwo-dimensional space and angles:Identify, name and draw right-angled, equilateral, isosceles and scalene trianglesDescribe angle size in degrees for each angle classificationConstruct, measure, compare and estimate angles in degrees (up to 360°) Example connections across strandsMeasurement and geometry – Number and algebra:Mass, whole number and addition and subtractionConvert between kilograms and grams and between kilograms and tonnesNumber and algebra – Statistics and probability:Data and whole numbersPose questions and collect categorical or numerical data by observation or surveyChance and fractions and decimalsList outcomes of chance experiments involving equally likely outcomesRepresent probabilities using fractionsRecognise that probabilities range from 0 to 1Represent probabilities using fractions, decimals and percentagesEarly Term 3Table SEQ Table \* ARABIC 5 Early Term 3 outcomesStrandSubstrand focusOutcomesNumber and algebraWhole numbersAddition and subtractionMultiplication and divisionFractions and decimalsPatterns and algebraMA3-4NAMA3-5NAMA3-6NAMA3-7NAMA3-8NAMeasurement and geometryLengthTimeTwo-dimensional spaceAnglesMA3-9MGMA3-13MGMA3-15MGMA3-16MGStatistics and probabilityChanceMA3-19SPExample connections within Number and algebraWhole number and addition and subtraction:Partition numbers of any size in non-standard forms to aid mental calculation Whole numbers and multiplication and division:Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers Partition numbers of any size in non-standard forms to aid mental calculationWhole number and patterns and algebra:Identify and describe factors and multiples of whole numbers and use them to solve problemsModel, identify and describe properties of prime, composite, square and triangular numbersRecognise the location of negative whole numbers in relation to zero and place them on a number lineAddition and subtraction and multiplication and division:Explore the use of brackets and the order of operations when reading and writing number sentencesCreate a simple budgetAddition and subtraction and fractions and decimals:Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominatorAdd and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the otherAdd and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answersInvestigate and calculate simple percentages of quantities including discounts of 10%, 25% and 50% on sale itemsAddition and subtraction, patterns and algebra and fractions and decimals:Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtractionMultiplication and division and fractions and decimals:Multiply fractions by whole numbersUse mental, written and calculator strategies to divide decimals by one-digit whole numbersMultiply and divide decimals by 10, 100 and 1000Multiplication and division and patterns and algebra:Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals signExample connections within Measurement and geometryLength and two-dimensional space:Investigate and find the perimeter of shapesClassify and draw regular and irregular two-dimensional shapes from descriptions of their featuresTwo-dimensional space and angles:Identify, name and draw right-angled, equilateral, isosceles and scalene trianglesDescribe angle size in degrees for each angle classificationConstruct, measure, compare and estimate angles in degrees (up to 360°) Example connections across strandsMeasurement and geometry – Number and algebra:Length, whole numbers and fractions and decimalsConvert between kilometres, metres, centimetres and millimetres to compare lengths and distancesLength and addition and subtractionFind perimeters of common two-dimensional shapes and record the strategySolve problems involving length and perimeterTime and whole numbersDraw and interpret timelines using a given scaleStatistics and probability Number and algebra:Chance and fractions and decimalsList outcomes of chance experiments involving equally likely outcomesRepresent probabilities using fractionsRecognise that probabilities range from 0 to 1Represent probabilities using fractions, decimals and percentagesLater Term 3Table SEQ Table \* ARABIC 6 Later Term 3 outcomesStrandSubstrand focusOutcomesNumber and algebraAddition and subtractionMultiplication and divisionFractions and decimalsPatterns and algebraMA3-5NAMA3-6NAMA3-7NAMA3-8NAMeasurement and geometryAreaPositionMA3-10MGMA3-17MGStatistics and probabilityDataMA3-18SPExample connections within Number and algebraWhole number and addition and subtraction:Partition numbers of any size in non-standard forms to aid mental calculation Whole numbers and multiplication and division:Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers Partition numbers of any size in non-standard forms to aid mental calculationWhole number and patterns and algebra:Identify and describe factors and multiples of whole numbers and use them to solve problemsModel, identify and describe properties of prime, composite, square and triangular numbersRecognise the location of negative whole numbers in relation to zero and place them on a number lineAddition and subtraction and multiplication and division:Explore the use of brackets and the order of operations when reading and writing number sentencesCreate a simple budgetAddition and subtraction and fractions and decimals:Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominatorAdd and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the otherAdd and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answersInvestigate and calculate simple percentages of quantities including discounts of 10%, 25% and 50% on sale itemsAddition and subtraction, patterns and algebra and fractions and decimals:Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtractionMultiplication and division and fractions and decimals:Multiply fractions by whole numbersUse mental, written and calculator strategies to divide decimals by one-digit whole numbersMultiply and divide decimals by 10, 100 and 1000Multiplication and division and patterns and algebra:Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals signExample connections across strandsMeasurement and geometry – Number and algebra:Area and multiplication and divisionInvestigate strategies to find areas of rectangles (including squares) and record the strategyInvestigate and explain the relationship between the area of triangles and the area of rectanglesUsing an area model Position and patterns and algebraIdentify and record the coordinates of given points in all four quadrants of the number plane (Cartesian plane) Number and algebra – Statistics and probability:Data and whole numbersPose questions and collect categorical or numerical data by observation or surveyEarly Term 4Table SEQ Table \* ARABIC 7 Early Term 4 outcomesStrandSubstrand focusOutcomesNumber and algebraWhole numbersMultiplication and divisionFractions and decimalsMA3-4NAMA3-6NAMA2-7NAMeasurement and geometryVolume and capacityTimeThree-dimensional spaceMA3-11MGMA3-13MGMA3-14MGStatistics and probabilityDataChanceMA3-18SPMA3-19SPExample connections within Number and algebraWhole number and addition and subtraction:Partition numbers of any size in non-standard forms to aid mental calculation Whole numbers and multiplication and division:Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers Partition numbers of any size in non-standard forms to aid mental calculationWhole number and patterns and algebra:Identify and describe factors and multiples of whole numbers and use them to solve problemsModel, identify and describe properties of prime, composite, square and triangular numbersRecognise the location of negative whole numbers in relation to zero and place them on a number lineAddition and subtraction and multiplication and division:Explore the use of brackets and the order of operations when reading and writing number sentencesCreate a simple budgetAddition and subtraction and fractions and decimals:Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominatorAdd and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the otherAdd and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answersInvestigate and calculate simple percentages of quantities including discounts of 10%, 25% and 50% on sale itemsAddition and subtraction, patterns and algebra and fractions and decimals:Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtractionMultiplication and division and fractions and decimals:Multiply fractions by whole numbersUse mental, written and calculator strategies to divide decimals by one-digit whole numbersMultiply and divide decimals by 10, 100 and 1000Multiplication and division and patterns and algebra:Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals signExample connections within Measurement and geometryVolume and capacity and three-dimensional space:Investigate strategies to find the volumes of rectangular prismsDescribe and compare the properties of prisms and pyramids in terms of their faces, vertices and edges Example connections across strandsMeasurement and geometry – Number and algebra:Volume and capacity, whole numbers and fractions and decimalsConvert between millilitres and litresVolume and capacity and multiplication and division and volume Investigate strategies to find volumes of rectangular prismsTime and whole numbers Draw and interpret timelines using a given scaleNumber and algebra – Statistics and probability:Data and whole numbersPose questions and collect categorical or numerical data by observation or surveyChance and factions and decimalsList outcomes of chance experiments involving equally likely outcomesRepresent probabilities using fractionsRecognise that probabilities range from 0 to 1Represent probabilities using fractions, decimals and percentagesLater Term 4Table SEQ Table \* ARABIC 8 Later Term 4 outcomesStrandSubstrand focusOutcomesNumber and algebraAddition and subtractionMultiplication and divisionFractions and decimalsPatterns and algebraMA3-5NAMA3-6NAMA3-7NAMA3-8NAMeasurement and geometryMassTwo-dimensional spaceAnglesMA3-12MGMA3-15MGMA3-16MGExample connections within Number and algebraWhole number and addition and subtraction:Partition numbers of any size in non-standard forms to aid mental calculation Whole numbers and multiplication and division:Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers Partition numbers of any size in non-standard forms to aid mental calculationWhole number and patterns and algebra:Identify and describe factors and multiples of whole numbers and use them to solve problemsModel, identify and describe properties of prime, composite, square and triangular numbersRecognise the location of negative whole numbers in relation to zero and place them on a number lineAddition and subtraction and multiplication and division:Explore the use of brackets and the order of operations when reading and writing number sentencesCreate a simple budgetAddition and subtraction and fractions and decimals:Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominatorAdd and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the otherAdd and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answersInvestigate and calculate simple percentages of quantities including discounts of 10%, 25% and 50% on sale itemsAddition and subtraction, patterns and algebra and fractions and decimals:Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtractionMultiplication and division and fractions and decimals:Multiply fractions by whole numbersUse mental, written and calculator strategies to divide decimals by one-digit whole numbersMultiply and divide decimals by 10, 100 and 1000Multiplication and division and patterns and algebra:Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals signExample connections within measurement and geometryAngles and two-dimensional space:Identify, name and draw right-angled, equilateral, isosceles and scalene trianglesDescribe angle size in degrees for each angle classificationConstruct, measure, compare and estimate angles in degrees (up to 360°)Example connections across strandsMeasurement and geometry – Number and algebra :Table SEQ Table \* ARABIC 9Early Term 1 outcomesTwo-dimensional space and patterns and algebraContinue, create, record and describe geometric and number patterns using words Mass, whole numbers and addition and subtractionConvert between kilograms and grams and between kilograms and tonnes ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download