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4Year 4 Standards
Top Mathematicians
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Using geometry skills
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4.G.1.1
Shape
• Learners are able to:
- recognise, classify and sketch polygons with up to eight sides, including irregular shapes
- recognise and classify 3D shapes, using their own criteria -
4.G.1.2
Construction
• Learners are able to:
- draw lines to the nearest millimetre
- recognise and draw perpendicular and parallel lines -
4.G.1.3
Movement
• Learners are able to:
- draw lines of symmetry
- draw the reflection of a shape in a horizontal or vertical line -
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4.65Identify Reflections, Rotations and Translations5
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4.66Symmetry5
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4.G.1.1
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Using algebra skills
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4.OA.1.1
Number sequences
• Learners are able to:
- explore sequences of positive whole numbers involving addition and subtraction in 2s, 3s, 4s, 5s, 6s, 8s and 10s from different starting points
- write the next two (or more) terms in sequences that involve addition or subtraction -
4.OA.1.2
Functions and graphs
• Learners are able to:
- use one and two step function machines to generate input and output using all four operations; express, in words, the operations of function machines -
4.OA.1.3
Equations and inequalities
• Learners are able to:
- use < > to describe whether a number is less than or greater than another
- find an ‘unknown’ in two step equations, e.g. 4 x ?+ 1 = 25
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4.OA.1.1
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Using data skills
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4.ID.1.1
Collect and record data Present and analyse data Interpret results
• Learners are able to:
- represent data using:
• lists, tally charts, tables and diagrams
• bar charts and bar line graphs labelled in 2s, 5s and 10s
• pictograms where one symbol represents more than one unit using a key
• Venn and Carroll diagrams
- extract and interpret information from charts, timetables, diagrams and graphs. -
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4.10Price Lists20
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4.11Consumer Math: Price Lists15
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4.16Interpret Bar Graphs20
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4.17Interpret Line Plots with Up to 5 Data Points5
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4.18Interpret Line Plots5
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4.19Interpret Line Plots with Numbers Up to 405
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4.20Interpret Pictographs20
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4.21Convert Graphs to Input/Output Tables5
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4.22Interpret Line Graphs5
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4.46Create Bar Graphs Using Tables5
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4.47Create Bar Graphs5
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4.48Create Line Plots5
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4.49Create Line Plots II5
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4.50Create Pictographs5
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4.51Create Line Graphs5
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4.105Venn Diagrams5
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4.ID.1.1
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Using number skills
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4.NS.1.1
Use number facts and relationships
• Learners are able to:
- read and write numbers to 10 000
- compare and estimate with numbers up to 1 000
- use mental strategies to recall multiplication tables for 2, 3, 4, 5, 6 and 10 and use to solve division problems
- multiply and divide numbers by 10 and 100
- identify multiples of 2, 3, 4, 5, 6 and 10; use the terms multiple and factor -
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4.1Multiplication20
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4.4Division with Divisors Up to 1020
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4.28Put Numbers in Order Up to 12020
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4.67Rounding with Numbers Up to 500015
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4.68Rounding with Numbers Up to 100,00015
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4.69Solve Inequalities Using Estimation15
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4.70Estimate Sums with Numbers Up to 100,00020
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4.71Estimate Differences20
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4.72Estimate Products Up to 100020
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4.73Estimate Quotients20
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4.74Estimate Quotients Up to 10,00020
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4.75Estimate Quotients Up to 100020
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4.76Counting and Number Patterns: Writing Numbers in Words15
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4.77Compare Numbers Up to 100020
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4.78Solve Inequalities10
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4.79Multiplication with a Specific Number Up to 1265
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4.80Multiplication by 1010
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4.81Missing Factors20
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4.82Division with a Specific Number Up to 945
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4.83Relate Multiplication and Division with Factors Up to 1220
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4.NS.1.2
Fractions, decimals, percentages and ratio
• Learners are able to:
- halve 3-digit numbers in the context of number, money and measures
- find fractional quantities using known table facts, e.g. 1/6 of 30cm
- recognise fractions that are several parts of a whole, e.g 2/3, 3/10 -
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4.23Fraction20
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4.24Multiply Fractions by Whole Numbers20
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4.84Multiply Fractions by Whole Numbers20
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4.NS.1.3
Calculate using mental and written methods
• Learners are able to:
- find differences within 1 000
- add a 2-digit number to, and subtract a 2-digit number from, a 3-digit number using an appropriate mental or written method
- use mental strategies to multiply and divide 2-digit numbers by a single digit number
- identify negative whole numbers on a number line
- order whole numbers between -10 and 10 -
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4.5Division with Dividend Up to 100020
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4.29Complete the Equation with Sums Up to 100020
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4.30Complete the Equation with Numbers Up to 100020
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4.33Complete the Subtraction Sentence20
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4.34Complete the Subtraction Sentence with Operands Up to 100020
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4.44Division with Remainder with Numbers Up to 100020
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4.86Subtraction Input/Output Tables20
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4.87Addition Input/Output Tables with Numbers Up to 10015
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4.88Addition Input/Output Tables with Sums Up to 100020
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4.NS.1.4
Estimate and check
• Learners are able to:
- check answers using inverse operations
- estimate by rounding to the nearest 10 or 100 -
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4.67Rounding with Numbers Up to 500015
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4.68Rounding with Numbers Up to 100,00015
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4.70Estimate Sums with Numbers Up to 100,00020
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4.71Estimate Differences20
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4.72Estimate Products Up to 100020
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4.73Estimate Quotients20
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4.74Estimate Quotients Up to 10,00020
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4.75Estimate Quotients Up to 100020
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4.83Relate Multiplication and Division with Factors Up to 1220
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4.89Related Equations with Sums Up to 100015
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4.90Related Equations Up to 1015
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4.NS.1.5
Manage money
• Learners are able to:
- use money to pay for items up to £10 and calculate the change
- order and compare items up to £100
- add and subtract totals less than £10 using correct notation, e.g. £6.85 - £2.76
- manage money, compare costs from different retailers and determine what can be bought within a given budget -
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4.7Making Change Up to $2015
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4.8Making Change Up to $515
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4.9Add and Subtract Money5
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4.10Price Lists20
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4.11Consumer Math: Price Lists15
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4.91Count Up with Numbers5
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4.92Compare Money Amounts15
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4.93Add and Subtract Money: Up to $10,0005
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4.NS.1.1
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Using measuring skills
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4.MD.1.1
Length, weight/mass, capacity
• Learners are able to:
- measure and calculate the perimeter of squares and rectangles
- select and use appropriate standard units to estimate and measure length, weight/mass and capacity
- measure on a ruler to the nearest mm and record using a mix of units, e.g. 1cm 3mm
- use weighing scales with divisions to weigh objects to the nearest 5g, 10g, 25g or 100g
- measure capacities to the nearest 50ml or 100ml
- convert metric units of length to smaller units, e.g. cm to mm, m to cm, km to m
- choose appropriate metric units to measure length, weight/mass and capacity -
4.MD.1.2
Time
• Learners are able to:
- tell the time to the nearest minute on analogue clocks
- read hours and minutes on a 24-hour digital clock
- time and order events in seconds
- use calendars to plan events
- calculate start times, finish times and durations using 5-minute intervals
- convert between 12- and 24-hour clock times
- estimate the number of minutes everyday activities take to complete -
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4.12Find the Change in Time I20
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4.13Change in Time Review20
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4.14Find the Change in Time20
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4.15Elapsed Time10
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4.96Reading Clocks5
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4.97Match Analog and Digital Clocks5
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4.98Match Clocks and Time10
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4.MD.1.3
Temperature
• Learners are able to:
- take temperature readings using thermometers and interpret readings above and below 0°C -
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4.MD.1.4
Area and volume Angle and position
• Learners are able to:
- recognise volume in practical contexts
- use a protractor to check if an angle is more or less than a right angle
- use eight compass points to describe direction -
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4.MD.1.1
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Developing numerical reasoning
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4.REI.1.1
Identify processes and connections
• Learners are able to:
- transfer mathematical skills to a variety of contexts and everyday situations
- identify the appropriate steps and information needed to complete the task or reach a solution
- select appropriate mathematics and techniques to use
- select and use suitable instruments and units of measurement
- choose an appropriate mental or written strategy and know when it is appropriate to use a calculator
- estimate and visualise size when measuring and use the correct units -
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4.1Multiplication20
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4.2Multiply Three or More Numbers20
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4.3Multiply Three or More Numbers Up to 10020
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4.4Division with Divisors Up to 1020
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4.5Division with Dividend Up to 100020
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4.6Multi-Step20
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4.7Making Change Up to $2015
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4.8Making Change Up to $515
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4.9Add and Subtract Money5
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4.10Price Lists20
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4.11Consumer Math: Price Lists15
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4.12Find the Change in Time I20
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4.13Change in Time Review20
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4.14Find the Change in Time20
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4.15Elapsed Time10
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4.16Interpret Bar Graphs20
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4.17Interpret Line Plots with Up to 5 Data Points5
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4.18Interpret Line Plots5
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4.19Interpret Line Plots with Numbers Up to 405
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4.20Interpret Pictographs20
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4.21Convert Graphs to Input/Output Tables5
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4.22Interpret Line Graphs5
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4.23Fraction20
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4.24Multiply Fractions by Whole Numbers20
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4.25Solve Using Guess-And-Check20
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4.26Find Two Numbers Based on the Sum and the Difference5
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4.27Find Two Numbers Based on the Operation5
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4.28Put Numbers in Order Up to 12020
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4.29Complete the Equation with Sums Up to 100020
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4.30Complete the Equation with Numbers Up to 100020
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4.31Balance Addition Equations with Sums Up to 100020
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4.32Balance Addition Equations with Operands Up to 100020
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4.33Complete the Subtraction Sentence20
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4.34Complete the Subtraction Sentence with Operands Up to 100020
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4.35Balance Subtraction Equations with Operands Up to 100020
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4.36Complete the Mixed Equation Sentence20
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4.37Mixed Equation with Numbers Up to 1000020
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4.38Mixed Equation with Numbers Up to 10020
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4.39Which Metric Unit of Length Is Appropriate?5
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4.40Which Metric Unit Is Appropriate?5
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4.REI.1.2
Represent and communicate
• Learners are able to:
- explain results and procedures clearly using mathematical language
- refine informal methods of recording written calculations, moving to formal methods of calculation when developmentally ready
- use appropriate notation, symbols and units of measurement
- select and construct appropriate charts, diagrams and graphs with suitable scales
- recognise, and generalise in words, patterns that arise in numerical, spatial or practical situations
- visualise and describe shapes, movements and transformations -
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4.29Complete the Equation with Sums Up to 100020
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4.30Complete the Equation with Numbers Up to 100020
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4.33Complete the Subtraction Sentence20
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4.34Complete the Subtraction Sentence with Operands Up to 100020
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4.36Complete the Mixed Equation Sentence20
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4.41Multiplication Sentences5
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4.42Multiplication with Pictures10
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4.43Multiply 3, 4 Numbers Up to 10020
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4.44Division with Remainder with Numbers Up to 100020
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4.45Solve Mixed Equations II20
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4.46Create Bar Graphs Using Tables5
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4.47Create Bar Graphs5
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4.48Create Line Plots5
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4.49Create Line Plots II5
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4.50Create Pictographs5
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4.51Create Line Graphs5
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4.52Counting and Number Patterns: Skip-Counting Sequences20
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4.53Mixed Patterns5
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4.54Identify Simple Planar and Solid Shapes5
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4.55Identify Planar and Solid Shapes5
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4.56Which 2 Dimensional Shape Is Described?5
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4.57Compare Sides and Corners5
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4.58Count Edges5
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4.59Count Vertices5
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4.60Count Faces5
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4.61Count Edges, Vertices and Faces5
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4.62Which Shape Is Described?5
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4.63Regular and Irregular Polygons5
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4.64Types of Triangles5
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4.65Identify Reflections, Rotations and Translations5
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4.66Symmetry5
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4.REI.1.3
Review
• Learners are able to:
- select from an increasing range of checking strategies to decide if answers are reasonable
- interpret answers within the context of the problem and consider whether answers, including calculator, analogue and digital displays, are sensible
- draw conclusions from data and recognise that some conclusions may be misleading or uncertain -
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4.16Interpret Bar Graphs20
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4.17Interpret Line Plots with Up to 5 Data Points5
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4.18Interpret Line Plots5
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4.19Interpret Line Plots with Numbers Up to 405
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4.20Interpret Pictographs20
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4.21Convert Graphs to Input/Output Tables5
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4.22Interpret Line Graphs5
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4.67Rounding with Numbers Up to 500015
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4.68Rounding with Numbers Up to 100,00015
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4.69Solve Inequalities Using Estimation15
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4.70Estimate Sums with Numbers Up to 100,00020
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4.71Estimate Differences20
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4.72Estimate Products Up to 100020
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4.73Estimate Quotients20
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4.74Estimate Quotients Up to 10,00020
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4.75Estimate Quotients Up to 100020
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4.REI.1.1