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Maths Overview Spring Term for 4AG Group

03 Jan 2017

Plan: Abacus Year 4  Term: Spring 1     Date:  03/01/17 School Name: Handsworth Primary School  Teacher: AG/JL/FB  Class: 4AG
 
Wk Weekly Summary Strands Objectives
1 Place 4-digit numbers on landmarked lines; 0–10 000 and 1000–2000; round 4-digit numbers to the nearest 10, 100 and 1000; mentally add and subtract to/from 4-digit and 3-digit numbers using place-value; count on and back in multiples of 10, 100 and 1000; count on in multiples of 25 and 50; add and subtract multiples of 10 and 100 to/from 4-digit numbers Number and place value (NPV) NPV.45 Understand place value in 4-digit numbers by creating 4-digit numbers, placing them on a number line and solving place value additions and subtractions
NPV.49 Round 4-digit numbers up or down to the nearest 10, 100 or 1000
NPV.52 Use place value to add and subtract multiples of 10, 100 and 1000 to and from 4-digit numbers
NPV.41 Count on and back in 50s
NPV.43 Count above 1000 in 1s and 100s
NPV.44 Count beyond 1000 in 10s
NPV.50 Count in 1s, 10s and 100s, across multiples of 100 and 1000
NPV.51 Count in 50s and 25s, using the 100s count
Problem solving, reasoning and algebra (PRA) PRA.52 Describe, predict and explain patterns
2 Use expanded written subtraction and compact written subtraction to subtract pairs of 3-digit numbers (one ʻexchangeʼ); use expanded column subtraction and compact column subtraction to subtract pairs of 3-digit and 2-digit numbers from 3-digit numbers (one ʻcarryʼ); learn the 7× table and ʻtrickyʼ facts; use the vertical algorithm to multiply 3-digit numbers by 1-digit numbers; solve simple money problems with decimals to two decimal places Written addition and subtraction (WAS) WAS.48 Use expanded decomposition to subtract 3-digit from 3-digit numbers
WAS.50 Use compact decomposition to subtract 3-digit from 3-digit numbers
WAS.51 Subtract 2-digit from 3-digit numbers using expanded or compact decomposition
Mental multiplication and division (MMD) MMD.31 Understand that multiplication is commutative and use it in mental calculations
MMD.52 Count in 7s and recall multiplication and division facts for the ×7 table
Written multiplication and division (WMD) WMD.49 Multiply 2- and 3-digit by 1-digit numbers using the ladder method
Problem solving, reasoning and algebra (PRA) PRA.58 Solve simple measure and money problems involving fractions and decimals up to 2 decimal places
Measurement (MEA) MEA.61 Estimate, compare and calculate different measures, including money in pounds and pence
3 Use mental multiplication and division strategies; find non-unit fractions of 2-digit and 3-digit numbers; find equivalent fractions and use them to simplify fractions (halves, thirds, quarters) Mental multiplication and division (MMD) MMD.41 Use doubling and halving to multiply and divide by 4 and 8 and solve correspondence problems
MMD.49 Double and halve 3-digit numbers by partitioning
MMD.55 Use mental strategies to solve multiplications including multiplying by 0 and 1, dividing by 1, multiplying together three numbers
MMD.57 Use mental strategies to solve divisions including dividing by 1
Fractions, ratio and proportion (FRP) FRP.38 Find fractions of amounts and relate to division and multiplication
FRP.41 Understand unit and non-unit fractions with denominators ≤ 12
FRP.46 Develop an understanding of equivalence in fractions; 1/2s, 1/3s, 1/4s, 1/5s, 1/6s, 1/8s, 1/10s
FRP.52 Identify the equivalent fraction for any given fraction
FRP.34 Begin to understand equivalence by placing fractions on a number line
FRP.54 Use equivalence to reduce fractions to their simplest form
Problem solving, reasoning and algebra (PRA) PRA.58 Solve simple measure and money problems involving fractions and decimals up to 2 decimal places
4 Recognise and compare acute, right and obtuse angles; draw lines of a given length; identify perpendicular and parallel lines; recognise and draw line symmetry in shapes; sort 2D shapes according to their properties; draw shapes with given properties and explain reasoning; draw the other half of symmetrical shapes Geometry: properties of shapes (GPS) GPS.54 Estimate and measure angles, recognising that they are measured in degrees
GPS.56 Compare and classify acute and obtuse angles; order angles up to 180°
GPS.43 Draw horizontal, perpendicular and parallel lines of a given length
GPS.44 Identify line symmetry in 2D shapes presented in different orientations
GPS.49 Classify 2D shapes according to their properties: right angles, lines of symmetry, parallel and perpendicular lines
GPS.51 Draw shapes with specified properties: a right angle, two perpendicular lines, two parallel lines
GPS.47 Recognise and begin to complete symmetrical 2D shapes
GPS.60 Complete a symmetric figure with a given line of symmetry
Problem solving, reasoning and algebra (PRA) PRA.53 Use, explain and justify mathematical reasoning
5 Understand how to divide 2-digit and 3-digit numbers by 1-digit numbers using place value and mental strategies; divide numbers by 1-digit numbers to give answers between 10 and 25, with remainders; identify factor pairs and use these to solve multiplications and divisions with larger numbers; use Frog to find complements to multiples of 1000; use Frog to find change from £10, £20 and £50 Mental multiplication and division (MMD) MMD.37 Understand division as the inverse of multiplication
MMD.61 Identify factors and multiples, and begin to find common factors
MMD.64 Use knowledge of multiples and factors in relation to large numbers
Written multiplication and division (WMD) WMD.51 Divide 2- and 3-digit by 1-digit numbers using a written method drawn from mental strategies with integer remainders and answers between 10 and 20
Mental addition and subtraction (MAS) MAS.50 Subtract 4-digit from 4-digit multiples of 1000 by counting up
MAS.57 Use number facts to add to the next multiple of 100 or 1000
MAS.40 Find change from £5, £10 and £20 by counting up
MAS.51 Count up to find change from £10, £50 and £100

***There will be problem solving lessons going on throughout the term.

 
Plan: Abacus Year 4  Term: Spring 2     Date:  03/01/17 School Name: Handsworth Primary School  Teacher: AG/JL/FB  Class: 4AG
 
Wk Weekly Summary Strands Objectives
6 Recognise, use, compare and order decimal numbers; understand place value in decimal numbers; recognise that decimals are tenths; round decimals numbers to the nearest whole number; divide 2-digit numbers by 10 to get decimal numbers; multiply decimal numbers by 10 to get 2-digit numbers; divide 3-digit multiples of ten by 100 to get decimal numbers; multiply decimal numbers by 100 to get 3-digit multiples of ten; add four digit numbers using written method with answers greater than 10 000 Decimals, percentages and their equivalence to fractions (DPE) DPE.48 Match 1-place decimals to 1/10s
DPE.50 Locate and write 1-place decimals on a number line and match to 1/10s
DPE.51 Count in decimal steps of 0·1 (tenths)
DPE.52 Round 1-place decimals to the nearest integer, by placing on a number line
DPE.64 Round 1- and 2-place decimals up and down to the nearest whole number
DPE.53 Divide integers by 10, 100 and 1000 to get 1-place decimal answers
Number and place value (NPV) NPV.47 Divide 2-digit numbers by 10 to get 1-place decimal answers
NPV.53 Divide 3-digit multiples of 10 by 100 to get 1-place decimal answers
NPV.62 Understand the effect of multiplying or dividing a given number by 10, 100 or 1000; answers < 100000 and with not more than 2 decimal places
Problem solving, reasoning and algebra (PRA) PRA.53 Use, explain and justify mathematical reasoning
PRA.59 Solve addition and subtraction two-step problems in contexts
PRA.60 Solve number and practical problems with increasingly large positive numbers
Written addition and subtraction (WAS) WAS.54 Use column addition to add two 4-digit numbers with answers > 10000
7 Add amounts of money using written methods and mentally using place value and number facts; choose to add using the appropriate strategy: mental or written; subtract, choosing appropriate mental strategies: counting up or taking away (using counting back, place value or number facts); solve subtractions using a suitable written method (column subtraction) Mental addition and subtraction (MAS) MAS.52 Add mentally several amounts of money
MAS.65 Use mental strategies to add amounts of money with 2 decimal places
MAS.49 Count up to subtract any 3-digit from 3-digit number
MAS.53 Use place value to subtract amounts of money and calculate price decreases
Written addition and subtraction (WAS) WAS.45 Use column addition to add several 2-digit numbers
WAS.46 Use column addition to add several 3-digit numbers with a total > 1000
WAS.50 Use compact decomposition to subtract 3-digit from 3-digit numbers
Measurement (MEA) MEA.45 Add and subtract amounts of money to give change, using pounds and pence
Problem solving, reasoning and algebra (PRA) PRA.51 Organise work in a logical way
PRA.53 Use, explain and justify mathematical reasoning
PRA.60 Solve number and practical problems with increasingly large positive numbers
8 Tell the time on a 24 hour clock, using am and pm correctly; convert pm times to 24 hour clock and vice versa; use 24 hour clock in calculating intervals of time; measure and calculate perimeters of rectilinear shapes where each side is labelled in cm and m; find missing lengths in rectilinear composite shapes; find the perimeters of rectilinear shapes with some lengths not marked; convert from one unit of length to another; solve word problems involving lengths including those involving perimeters Measurement (MEA) MEA.47 Use vocabulary such as morning, afternoon, noon, and midnight; also am and pm times and 12 hour clocks
MEA.55 Use 24 hour clocks
MEA.63 Read, write and convert time between analogue and digital 12 and 24 hour clocks
MEA.62 Measure and calculate the perimeter of rectilinear figures in cm and m
MEA.67 Measure and calculate the perimeter of composite rectilinear shapes in m/cm
MEA.42 Measure, compare, add and subtract lengths or heights using m/cm/mm
MEA.65 Convert between different units of measure, e.g. kilometres to metres, metres to centimetres, etc.
Problem solving, reasoning and algebra (PRA) PRA.58 Solve simple measure and money problems involving fractions and decimals up to 2 decimal places
9 Understand place value in 4-digit numbers; partition 4-digit numbers; solve subtraction of 4-digit numbers using column subtraction (decomposition); choose an appropriate method to solve subtractions, either mental or written, and either column or counting up (Frog) Number and place value (NPV) NPV.45 Understand place value in 4-digit numbers by creating 4-digit numbers, placing them on a number line and solving place value additions and subtractions
Written addition and subtraction (WAS) WAS.55 Use expanded or compact decomposition to subtract numbers with up to 4-digits (easier)
WAS.58 Use expanded or compact decomposition to subtract numbers with up to 4-digits (harder)
Mental addition and subtraction (MAS) MAS.56 Use mental strategies to add 2-digit, 3-digit and 4-digit numbers
MAS.61 Use counting up as an efficient mental strategy with minimal jottings
10 Use the vertical algorithm to multiply 3-digit numbers by 1-digit numbers; explore patterns; use mental strategies and tables facts to divide 2-digit and 3-digit numbers by 1-digit numbers to give answers between 10 and 35, without remainders; solve word problems Written multiplication and division (WMD) WMD.49 Multiply 2- and 3-digit by 1-digit numbers using the ladder method
WMD.51 Divide 2- and 3-digit by 1-digit numbers using a written method drawn from mental strategies with integer remainders and answers between 10 and 20
WMD.52 Divide 3-digit by 1-digit numbers using a written method drawn from mental strategies with integer remainders and answers < 50
Problem solving, reasoning and algebra (PRA) PRA.52 Describe, predict and explain patterns
PRA.59 Solve addition and subtraction two-step problems in contexts
Mental addition and subtraction (MAS) MAS.56 Use mental strategies to add 2-digit, 3-digit and 4-digit numbers
Written addition and subtraction (WAS) WAS.52 Use column addition to add two 4-digit numbers with a total ≤ 10000
WAS.55 Use expanded or compact decomposition to subtract numbers with up to 4-digits (easier)
 

 
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