Shape • Learners are able to: - recognise tetrahedra and square based pyramids - recognise and sketch different types of quadrilaterals - explore the tessellation of different shapes - identify a net of a cube
Construction • Learners are able to: - draw cubes and cuboids on isometric paper - draw nets of cubes on square paper
Movement • Learners are able to: - find all the lines of symmetry for a given shape - identify rotational symmetry of shapes - identify symmetrical properties of regular polygons
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
Subtraction with Numbers Up to 5000000
Numbers Up to 5000000
Estimate Differences
Estimate Sums
Multiplication Up to 1000
Multiplication with Operands Up to 100 III
Division with Divisors Up to 100
Add and Subtract Decimals Up to 10
Add and Subtract Decimal Up to 100
Add and Subtract Decimals
Fraction
Multiply Fractions by Whole Numbers
Add, Subtract Fractions with Like Denominators
Add Fractions
Subtract Fractions
Ratios
Add and Subtract Money: Up to $10,000
Price Lists
Consumer Math: Price Lists
Consumer Math: Unit Prices
Write Variable Equations to Represent
Convert Graphs to Input/Output Tables
Interpret Line Graphs
Interpret Pictographs
Interpret Line Plots
Interpret Line Plots with Numbers Up to 40
Interpret Line Plots with Up to 5 Data Points
Create Frequency Tables
Stem-And-Leaf Plots
Find the Change in Time I
Change in Time Review
Find Start and End Times
Multi-Step
Extra or Missing Information
Solve Using Guess-And-Check
Fill in the Missing Digits
Choose Numbers with a Particular Sum
Choose Numbers with a Particular Difference
Choose Decimals with a Particular Sum or Difference
Complete the Addition or Subtraction Sentence
Evaluate Multi-Variable Expressions
Function Tables
Write Linear Functions
Which Metric Unit Is Appropriate?
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
Add Two Numbers Up to 5000000
Subtraction with Numbers Up to 5000000
Division with Remainder with Divisor Up to 1000
Add and Subtract Decimal Numbers Up to 3 Places
Add and Subtract Fractions
Subtract Fractions with Unlike Denominators
Add Fractions with Unlike Denominators
Create Line Graphs
Create Pictographs
Create Line Plots
Create Line Plots II
Increasing Growth Patterns
Counting and Number Patterns: Skip-Counting Sequences
Coordinate Graphs with Decimals and Negative Numbers
Coordinate Graphs Review
Coordinate Graphs Review with Whole Numbers
Coordinate Graphs as Maps
Regular and Irregular Polygons
Classify Quadrilateral Shapes
Identify Planar and Solid Shapes
Identify Simple and Complex Solid Shapes
Nets of 3-Dimensional Figures
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
Rounding with Numbers Up to 5000
Rounding with Numbers Up to 100,000
Estimate Differences
Estimate Sums with Numbers Up to 100,000
Estimate Products Up to 1000
Estimate Quotients
Estimate Quotients Up to 10,000
Estimate Quotients Up to 1000
Calculate Mean
Calculate Range
Calculate Mode
Calculate Median
Calculate Mean, Median, Mode and Range
Interpret Charts to Find Mode
Interpret Charts to Find Mean, Median, Mode, and Range
Interpret Charts to Find Median
Interpret Charts to Find Range
Interpret Charts to Find Mean
Number sequences • Learners are able to: - find the term to term rule for ascending and descending sequences, e.g. 3, 7, 11, 15 add 4 - generate a sequence given the first term and the term to term rule - consider spatial patterns, e.g. square number
Expressions and formulae • Learners are able to: - explore general statements through practical activities, e.g. that a + a + a = 3a, 3 x a = 3a and a + a + a + b + b = 3a + 2b - simplify expressions involving the addition of one variable, e.g. 5t + 3t = 8t
Functions and graphs • Learners are able to: - express output generated from one step function machines using algebra - identify the coordinates of a missing point from a regular shape - refer to the x axis and the y axis
Equations and inequalities • Learners are able to: - construct and solve one step equations with whole number solutions - list numbers between two points using the terminology ‘less than or equal toÂ’ and ‘greater than or equal toÂ’
Collect and record data Present and analyse data Interpret results • Learners are able to: - represent data using: • lists, tally charts, tables, diagrams and frequency tables • bar charts, grouped data charts, line graphs and conversion graphs - extract and interpret information from an increasing range of diagrams, timetables and graphs (including pie charts) - use mean, median, mode and range to describe a data set
Probability • Learners are able to: - use numbers to describe the likelihood of an event, e.g. a one-in-six chance - recognise that some events are equally likely - identify the outcomes of simple events, e.g. flipping a coin, rolling a dice
Use number facts and relationships • Learners are able to: - read and write numbers to 1 million and numbers to 3 decimal places - use mental strategies to recall multiplication tables up to 10 x 10 and use to solve division problems - multiply numbers and decimals by a multiple of 10, e.g. 15 x 30, 1.4cm x 20 - identify multiples of numbers up to 10; use the terms multiple and factor - identify common multiples of two numbers - identify common factors of two numbers - identify prime numbers - know prime numbers below 20
Understanding Decimals Expressed in Words
Multiplication with a Specific Number Up to 12
Division with Divisors Up to 10
Multiply Numbers Up to 1000 Ending in Zeros
Multiply Decimals Up to 20 Times Factors of 10
Choose the Multiples of a Given Number
Prime and Composite Numbers
Fractions, decimals, percentages and ratio • Learners are able to: - use understanding of simple fraction, decimal and percentage equivalences, e.g. find 25% of 60cm and know that this is equivalent to ¼ of 60cm - calculate percentage quantities based on 10%, e.g. 20%, 5%, 15% - use simple ratio and proportion - use ratio to express two or more quantities in words - state the proportion of a whole that each share represents, e.g. recognise that in a ratio of 1:3, 1 part represents a quarter of the total - find equivalent fractions and use these to add and subtract fractions - simplify fractions
Convert Fractions and Mixed Numbers to Decimals
Convert Decimals to Fractions and Mixed Numbers
Multiply Fractions by Whole Numbers
What Percentage Is Illustrated?
Convert Between Percents, Fractions and Decimals
Describe Pictures as Ratios
Equivalent Ratios
Equivalent Ratios
Ratio Tables
Unit Rates and Equivalent Rates
Scale Drawings and Scale Factors
Choose the Equivalent Fraction Up to Twentieths
Choose the Equivalent Fraction
Patterns of Equivalent Fractions
Add and Subtract Fractions with Unlike Denominators
Reducing Fractions to Lowest Terms
Reduce to Lowest Terms
Calculate using mental and written methods • Learners are able to: - add and subtract numbers using whole numbers and decimals - multiply 2- and 3-digit numbers by a 2-digit number - divide 3-digit numbers by a 2-digit number - add or subtract across zero using a number line, e.g. -3 + 5, 4 - 6
Estimate and check • Learners are able to: - check answers using inverse operations - estimate by rounding to the nearest 10, 100, 1 000 or whole number
Manage money • Learners are able to: - use the terms profit and loss in buying and selling activities and make calculations for this - understand the advantages and disadvantages of using bank accounts - make comparisons between prices and understand which is best value for money
Length, weight/mass, capacity • Learners are able to: - read and interpret scales or divisions on a range of measuring instruments - make estimates of length, weight/mass and capacity based on knowledge of the size of real-life objects, recognising the appropriateness of units in different contexts - record measurements in different ways, e.g. 1.3kg = 1kg 300g - use the language of imperial units in daily use, e.g. miles, pints
Time • Learners are able to: - use and interpret timetables and schedules to plan events and activities and make calculations as part of the planning process - estimate how long a journey takes - time events in minutes and seconds to the nearest tenth of a second - convert between standard units of time - estimate the length of time everyday activities take to complete with increasing accuracy
Temperature • Learners are able to: - measure and record temperatures involving positive and negative readings - calculate temperature differences, including those involving temperature rise and fall across 0°C
Area and volume Angle and position • Learners are able to: - calculate the area of squares and rectangles - recognise reflex angles - draw accurately and measure acute and obtuse angles in multiples of 5 degrees - calculate a missing angle within a right angle, on a straight line or around a point - use grid references to specify location