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Adding Fractions (Same Denominator)
Fractions
Add and subtract fractions with the same denominator, including results greater than one whole (e.g. 5/8 + 6/8 = 11/8)
All times tables to 12×12
Multiplication & Division
Recall multiplication and division facts for multiplication tables up to 12 × 12
Area (age 8+)
Measurement
Measure areas by counting unit squares (square cm, square m, square in, square ft)
Area and the distributive property
Measurement
Use tiling to demonstrate the distributive property: the area of a rectangle with sides a and (b+c) equals a×b + a×c; use area models to represent the distributive property
Area by Tiling
Measurement
Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths
Area of compound shapes
Measurement
Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas
Bar graphs
Data & Statistics
Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
Choosing mathematical tools
Mathematical Thinking
Select and use appropriate tools and representations strategically: choose between mental, written, and diagrammatic methods; use calculators for checking; select fraction models suited to the task
Comparing fractions (age 8+)
Fractions
Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
Comparing Large Numbers
Number Representation & Place Value
Order and compare numbers beyond 1000
Converting measurement units
Measurement
Convert between different units of measure (e.g. kilometre to metre, hour to minute, minute to second, year to month, week to day)
Coordinates (age 8+)
Geometry
Plot specified points on a coordinate grid and draw sides to complete a given polygon
Counting in 6s
Counting & Cardinality
Count in multiples of 6, 7, 9, 25, and 1000
Decimal & Percent Notation
Fractions
Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value
Decimal equivalents of tenths and hundredths
Fractions
Recognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27)
Decimal place value
Fractions
Round decimals with one decimal place to the nearest whole number
Decimal place value (age 8+)
Fractions
Compare numbers with the same number of decimal places up to two decimal places
Decimals and fractions
Fractions
Solve simple measure and money problems involving fractions and decimals to two decimal places
Describing Movements
Geometry
Describe movements between positions as translations of a given unit to the left/right and up/down
Dividing by 10 and 100
Fractions
Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits as ones, tenths, and hundredths
Division as Unknown Factor
Multiplication & Division
Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)
Equivalent fractions (age 8+)
Fractions
Generate simple equivalent fractions and explain why they are equivalent using visual fraction models
Equivalent fractions on a number line
Fractions
Understand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions using diagrams
Estimating and comparing money
Measurement
Estimate, compare, and calculate different measures including money in pounds and pence