2020-06-15 12:45余昊老师

20

**4年级数学教学大纲**

**TermOne**

Unit 1 (Algebra 1)

● Use mental calculationstrategies to solve number problems involving money and measures

● Explore and recordpatterns using to addition and subtraction

● Recognise and extendnumber sequences formed by counting on from any number in steps of a constantsize

● Use practical contexts togenerate sequences

● Recall quickly theaddition and subtraction facts of numbers up to 20

● Use all four operations tosolve simple number problems

● Begin to use symbols torepresent mathematical work

● Recall quickly 2, 3, 4, 5and 10 multiplication tables

● Use a rule to generateterms of a number

● Describe the rules ofsimple sequences

● Begin to explore thepositions of terms in a sequence

● Begin to understand theconcept of a function machine

Unit 2 (Number 1)

● Read and write wholenumbers to at least 1000 in figures and words

● Order whole numbers to atleast 100, then 1000, and position them on a number line

● Know what each digitrepresents, and partition 3-digit numbers into multiples of 100, 10 and 1 (HTU)

● Recall quickly additionand subtraction facts for all numbers to 20, pairs of multiples of 10 totalling100, and multiples of 100 totalling 1000

● Use mental calculationstrategies including using known number facts and place value to add mentally

● Derive quickly all numberpairs that total 100 and the related subtraction facts

● Subtract mentally usingmultiples of 10

● Use informal pencil andpaper methods to support, record or explain HTU + TU, HTU + HTU, HTU – TU and HTU – HTU

● Begin to use columnmethods for HTU + TU and HTU – TU where the calculation can not be done mentally

● Find a small difference bycounting on

● Check results ofcalculations, understand that addition and subtraction are inverse operations,know that addition can be done in any order, or that an equivalent calculationcan be used

● Round numbers to thenearest 10 and 100 and use rounding to estimate answers

● Use rounding to estimateanswers to addition and subtraction answers

Unit 3 (Geometry and measures 1)

● Solve one-step andtwo-step problems involving measures

● Identify and estimatefractions of shapes

● Know the relationshipsbetween kilometres and metres, metres and centimetres, kilograms and grams,litres and millilitres

● Read, to the nearestdivision and half-division, scales that are numbered or partially numbered; usethe information to measure and draw to a suitable degree of accuracy

● Choose and use appropriateunits to estimate, measure, and record measurements

● Find the area of shapesdrawn on a square grid by counting squares

● Measure and calculateperimeters of rectangles

Unit 4 (Number 2)

● Recognise and comparesimple unit fractions

● Recognise fractions makingone whole

● Estimate and findfractions of shapes and numbers

● Position simple fractionson a number line

● Recognise fractions thatare several parts of a whole

● Compare simple non-unitfractions using diagrams

● Recognise simpleequivalent fractions

● Begin to find remaindersafter simple division

Unit 5 (Statistics 1)

● Use simple lists andtables to communicate findings

● Use Venn and Carrolldiagrams to sort and classify data

● Extract data from simplegraphs, charts and diagrams

● List possible outcomes

● Collect and record data

● Interpret and constructbar charts

Unit 6 (Algebra 2)

● Know that addition andmultiplication can be carried out in any order, but that order is important insubtraction and division

● Recall quickly additionand subtraction facts of numbers to

20

● Choose and use appropriatenumber operations and ways of calculating to solve problems

● Add tens and units withoutcrossing a boundary

● Recognise the use ofsymbols (such as and ) to stand for unknown numbers

** **

**TermTwo**

Unit 7 (Geometry and measures 2)

● Recognise that a straightline is equivalent to two right angles

● Read and record thevocabulary of position, direction and movement, using the four compassdirections to describe movement about a grid

● Know that angles aremeasured in degrees and that one whole turn is 360°

● Compare and order anglesless than 180°

● Use the eight compasspoints to describe direction

● Describe and identify theposition of a square on a grid of squares

Unit 8 (Statistics 2)

● Formulate questions andpossible responses for a survey

● Determine possibleoutcomes of a survey

● Extract and interpret datafrom pictograms

● Construct pictograms wherea symbol represents a group of units

● Extract and interpret datapresented in a bar graph

● Construct a bar graph

Unit 9 (Number 3)

● Choose and use appropriateoperations to solve simple word problems and begin to explain thinking

● Understand place value andorder numbers up to 1000

● Use understanding of placevalue to multiply whole numbers by 10 or 100

● Round numbers to thenearest 10 and 100

● Recognise and interpretdecimal notation, including in the context of money

● Compare, add and subtractsimple decimals

● Recognise and use standardmetric units of length, capacity, mass and time in a range of contexts

● Add, subtract, double,halve and multiply small numbers using mental methods

● Recall quickly 2, 3, 4, 5,and 10 multiplication tables

● Use a formal writtenmethod for TU × U

● Use a calculator to solveproblems involving larger numbers and simple decimals

Unit 10 (Algebra 3)

● Explore and recordpatterns using addition and subtraction

● Explore patterns of multiplesof 2, 5 and 10, explaining the patterns and using them to make predictions

● Recognise and extendnumber sequences formed by counting on from any number in steps of a constantsize

● Use a rule to generateterms of a number sequence

● Begin to explore theposition of terms in a sequence

● Solve number problemsusing all four operations

● Begin to understand theconcept of a function machine

● Begin to express simplefunctions in words

● Find outputs of simplefunctions

● Describe and identify theposition of a square on a grid of squares

● Begin to read and plotcoordinates in the first quadrant

● Extract and interpret datapresented in bar graphs

● Begin to plot simplestraight-line graphs

Unit 11 (Geometry and measures 3)

● Use mathematical names forcommon 3-D and 2-D shapes

● Sort shapes and describesome of their features

● Classify and describe 3-Dand 2-D shapes

● Classify polygons asregular or irregular

● Reason about shapes, explainingmethods and thinking

● Solve mathematicalproblems or puzzles involving shapes

Unit 12 (Number 4)

● Recognise and understandunit fractions (hundredths)

● Understand fractions whichare several parts of a whole (hundredths)

● Begin to understandpercentage as the number of parts in

100

● Understand and usepercentages

● Find simple fractions ofwhole number amounts

● Use multiplication anddivision to solve word problems

● Solve word problemsinvolving money and measures

● Use a calculator for calculationsinvolving money

● Begin to use ideas ofsimple proportion

● Develop calculator skillsand use a calculator effectively

** **

**TermThree**

Unit 13 (Algebra 4)

● Understand therelationship between addition and subtraction, and between multiplication anddivision

● Know that addition andmultiplication can be carried out in any order but subtraction and divisioncannot, and use this to perform mental calculation strategies

● Recognise the use ofsymbols (such as and ) to stand for unknown numbers and completecalculations using mental recall and a range of calculation strategies

● Begin to representexpressions using symbols

Unit 14 (Geometry and measures 4)

● Read and record thevocabulary of position, direction and movement, using compass directions todescribe movement about a grid

● Recognise horizontal andvertical lines

● Describe and identify theposition of a square on a grid of squares

● Know that angles aremeasured in degrees and that one whole turn is 360°

● Identify and sketch linesof symmetry in simple shapes

● Recognise shapes with nolines of symmetry

● Draw and complete shapeswith reflective symmetry and draw the reflection of a shape in a mirror linealong one side

● Derive and recall doublesof all numbers to 20 and corresponding halves

● Use understanding of placevalue to multiply whole numbers by 10 or 100

● Use understanding of placevalue to multiply and divide numbers to 1000 by 10 or 100 (whole numberanswers), and relate this to scaling up or down

● Solve one-step andtwo-step problems involving measures, choosing and carrying out appropriatecalculations

● Read scales and measureand draw to a suitable degree of accuracy

● Find the area ofrectilinear shapes drawn on a square grid by counting squares

● Draw rectangles andmeasure and calculate their perimeters

Unit 15 (Statistics 3)

● Use frequency tables torepresent results

● Answer a question byidentifying what data to collect

● Organise and present datain tables, diagrams, tally charts and bar charts

● Interpret data in barcharts

Unit 16 (Number 5)

● Know what a square numberis

● Recognise square numbersup to 10 × 10

● Use a calculator to workout and check simple multiplication calculations

● Develop calculator skillsrequired to calculate with powers

● Understand what a factoris

● Be able to find factorpairs

● Begin to understand what aprime number is

● Mentally recall 2, 5 and10 times tables

● Use the term ‘multiple’

Unit 16 (Number 5) continued

● Find multiples of familiarnumbers

● Recognise multiples of 2,5 and 10 up to 1000

● Know and extend knowledgeof the 2, 5 and 10 times tables

● Explore patterns ofmultiples of 2, 5 and 10, explain the patterns, and use them to makepredictions

● Understand therelationship between division and multiplication

● Recall multiplicationfacts for 2, 5 and 10 times tables and corresponding divisibility rules

● Recognise that fractionsmake one whole

● Add two simple fractions

● Recognise simple fractionsequivalent to one half

● Use simple fractions incontext

● Add and subtract 2-digitwhole numbers, and numbers with one decimal, in the context of measures

● Multiply TU × U

● Find half or quarter oflengths

● Understand therelationship between division and repeated subtraction

● Solve one- and two-stepword problems involving multiplication and division

● Understand why divisionproblems often have remainders

● Round remainders up ordown depending on context

Unit 17 (Algebra 5)

● Recognise and extendnumber sequences formed by counting on or back in steps of equal size

● Add and subtract mentallycombinations of 1- and 2-digit numbers

● Derive and recallmultiplication facts for the 2, 3, 4, 5, 6 and 10 times tables

● Solve one- and two-stepproblems involving numbers, money or measures

● Use positive and negativenumbers in context and position them on a number line

● State inequalities usingthe symbols < and >

● Use knowledge of numberoperations and corresponding inverses

● Derive and record relatedmultiplication and division number sentences

Unit 18 (Geometry and measures 5)

● Relate 2-D shapes and 3-Dsolids to drawings of them

● Use a set square to drawright angles and to identify right angles in 2-D shapes

● Describe, visualise,classify, draw and make 2-D and 3-D shapes

● Classify and describe 3-Dand 2-D shapes referring to properties

● Represent the informationin a puzzle or problem using numbers, images or diagrams; use these to find asolution and present it in context, including units of measure whereappropriate

● Identify patterns andrelationships involving numbers or shapes, and use these to solve problems

● Make shapes, eg constructpolygons by paper folding