Number sequences • Learners are able to: - recognise and state the difference in sequences that involve adding or subtracting - write the next two (or more) terms in sequences - show that a number is in the sequence and/or find the position number by continuing the sequence or otherwise
Functions and graphs • Learners are able to: - use multistep function machines to generate input and output using all four operations; express, in words, the operations of function machines - read, plot and write coordinates in one quadrant, e.g. (2, 4)
Equations and inequalities • Learners are able to: - solve one step equations using letters to present ‘unknownsÂ’ with integer solutions, e.g. 6 + a = 10 and b + b = 8 - use < > to describe whether a number is less than or greater than another, working with different types of numbers
Shape • Learners are able to: - recognise and classify triangles, using their own criteria - identify congruent shapes and justify whether two or more shapes are congruent
Construction • Learners are able to: - draw and label lines accurately, e.g. AB - draw squares, rectangles and right angled triangles accurately - construct solids from given nets
Movement • Learners are able to: - draw the reflection of a shape in any line - complete a partly drawn shape after rotation - translate a shape on squared paper horizontally or vertically
Use number facts and relationships • Learners are able to: - read and write numbers to 100 000 - compare numbers with 1 and 2 decimal places - use mental strategies to recall multiplication tables for 2, 3, 4, 5, 6, 8 and 10 and use to solve division problems - multiply and divide numbers and decimals by 10 and 100 - identify multiples of 2, 3, 4, 5, 6, 8 and 10; use the terms multiple and factor - identify prime numbers as having only two factors; recognise that 1 is not a prime number - identify prime numbers below 10
Identify Place Values in Decimal Numbers
Choose Equivalent Decimals
Multiplication with a Specific Number Up to 12
Division with Divisors Up to 10
Multiplication Patterns Over Increasing Place Values
Increasing Multiplication Patterns with Numbers Up to 10,000
Increasing Division Patterns
Identify Factors
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 and decimal equivalences when measuring and calculating, e.g. ½ = 0.5, 1/10 = 0.1 - calculate fractional quantities, e.g. 1/8 of 24 = 3, so 5/8 of 24 = 15 - use doubling and halving strategies when working with simple proportions - share objects in a given ratio, e.g. red blocks and blue blocks in a ratio of 1:2 - recognise connections between fractions, e.g. one-tenth is half of one-fifth - add and subtract fractions with the same denominator - add fractions with the same denominator to make a whole
Decimals with Models
Convert Fractions and Mixed Numbers to Decimals
Convert Decimals to Fractions and Mixed Numbers
Fractions of Time Units
Multiply Fractions by Whole Numbers
Patterns of Equivalent Fractions
Describe Pictures as Ratios
Compare Fractions
What Mixed Fraction Is Shown?
Choose the Equivalent Fraction Up to Twentieths
Choose the Equivalent Fraction
Calculate using mental and written methods • Learners are able to: - find differences between numbers with 1 decimal place - add and subtract 3-digit numbers using an appropriate mental or written method - multiply and divide 3-digit numbers by a single-digit number - order negative and positive numbers, including decimals to 1 decimal place
Estimate and check • Learners are able to: - check answers using inverse operations - estimate by rounding to the nearest 10, 100 or 1 000
Manage money • Learners are able to: - order and compare the cost of items up to £1 000 - add and subtract totals less than £100 using correct notation, e.g. £28.18 + £33.45 - plan and track money and savings by keeping accurate records - realise that budgeting is important
Length, weight/mass, capacity • Learners are able to: - measure and calculate perimeters - make estimates of length, weight/mass and capacity based on knowledge of the size of real-life objects - use measuring instruments with 10 equal divisions between each major unit, and record using decimal notation, e.g. 4.2cm, 1.3kg - make use of conversions, e.g. ¼ of a km = 250m - recognise the appropriateness of units in different contexts
Time • Learners are able to: - read and use analogue and digital clocks - time events in minutes and seconds, and order the results - calculate start times, finish times and durations using hours and minutes - carry out practical activities involving timed events and explain which unit of time is the most appropriate - estimate the length of time everyday activities take to complete, extending to hours and quarters of hours
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, estimate and compare the area of squares and rectangles using standard units - find volumes by counting and other practical methods - recognise acute and obtuse angles - draw and measure acute angles in multiples of 10 degrees - use coordinates to specify location
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
Estimate Sums
Estimate Differences
Division with Divisors Up to 10
Mixed Equation with Numbers Up to 10000
Mixed Equation with Numbers Up to 100
Estimate Mixed Equations
Multi-Step
Extra or Missing Information
Solve Using Guess-And-Check
Coordinate Graphs with Decimals and Negative Numbers
Coordinate Graphs Review
Coordinate Graphs Review with Whole Numbers
Coordinate Graphs as Maps
Convert Graphs to Input/Output Tables
Interpret Line Graphs
Interpret Bar Graphs
Interpret Line Plots
Interpret Line Plots with Numbers Up to 40
Interpret Line Plots with Up to 5 Data Points
Create Frequency Tables
Making Change Up to $5
Making Change Up to $20
Price Lists
Consumer Math: Price Lists
Find the Change in Time I
Change in Time Review
Find Start and End Times
Area and Perimeter
Multiply Fractions by Whole Numbers
Add, Subtract Fractions with Like Denominators
Subtract Fractions
Add Fractions
Add and Subtract Decimals Up to 10
Add and Subtract Decimal Up to 100
Add and Subtract Decimals
Choose Numbers to Make Mixed Equations
Choose Numbers with a Particular Sum
Choose Numbers with a Particular Difference
Choose the Best Graph Type
Find Two Numbers Based on the Sum and the Difference
Find Two Numbers Based on the Operation
Use Area and Perimeter to Determine the Cost
Compare Fractions - Same Numerator or Denominator
Compare Decimal Numbers Up to 4 Places
Compare Decimal Numbers Up to 2 Places
Put Decimal Numbers in Order with Numbers Up to 5
Choose Decimals with a Particular Sum or Difference
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
Solve Mixed Equations II
Add and Subtract Fractions
Add and Subtract Decimal Numbers Up to 2 Places
Create Line Graphs
Create Bar Graphs Using Tables
Create Bar Graphs
Create Line Plots
Create Line Plots II
Input/Output Tables with Mixed Equations
Function Tables
Write Linear Functions
Increasing Growth Patterns
Geometric Growth Patterns
Numeric Patterns
Relative Coordinates
Which 2 Dimensional Shape Is Described?
Identify Planar and Solid Shapes
Identify Simple and Complex Solid Shapes
Count Edges
Count Vertices
Count Faces
Count Edges, Vertices and Faces
Nets of 3-Dimensional Figures
Which Shape Is Described?
Number of Sides in Polygons
Acute, Right, Obtuse, and Straight Angles
Identify Same Shapes
Comparing Objects - Same / Different
Perimeter: Find the Missing Side Length
Compare Area and Perimeter of Two 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 Sums with Numbers Up to 100,000
Estimate Differences
Estimate Quotients
Estimate Quotients Up to 1000
Estimate Quotients Up to 10,000
Interpret Charts to Find Mean, Median, Mode, and Range
Interpret Charts to Find Mean
Interpret Charts to Find Mode
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 the words ‘certainÂ’ and ‘impossibleÂ’ to describe the likelihood of an event occurring - recognise that some events are impossible and some events are certain - recognise that some events are more likely than others - use the words ‘likelyÂ’, ‘unlikelyÂ’ and ‘even chanceÂ’.