Numbers
Place value
Units, tens, hundreds, thousands: the place-value chart and partitioning numbers.
⚖️Comparing and ordering numbers
The signs <, >, = and the crocodile trick so you never get it wrong.
🔢Factors and multiples
Odd and even numbers, multiples, factors: finding all the factors of a number.
🎯Rounding and estimating
Rounding to the nearest ten, hundred, thousand, and estimating before calculating.
📈Number sequences
Finding the rule of an increasing, decreasing or multiplicative sequence.
Column methods
Long multiplication
Without carrying, with carrying, then by a two-digit number. Method, diagrams and exercises.
+Column addition
Line up the numbers, add column by column and handle the carry.
−Column subtraction
The borrowing method explained simply, with examples.
÷Long division
Step by step: divide, multiply, subtract, bring down — including the remainder.
Calculation & memorisation
Times tables
All the tables, tricks to remember them, and how to practise.
➗Division facts
Dividing by 1 to 10, building on times tables you already know.
🧮Order of operations
Brackets, multiplication and division before addition and subtraction.
Fractions & decimals
Fractions
Numerator, denominator, equivalent fractions and comparison, with diagrams.
🔟Decimal numbers
The decimal point, tenths and hundredths — reading, comparing and ordering.
🍕Adding fractions
Fractions with the same denominator: the method, with a number line.
🔟Calculating with decimals
Addition, subtraction, multiplication, division: lining up and shifting the point.
Measurement & geometry
Perimeter & area
The distance around and the surface of a square and a rectangle: formulas and units.
🕐Telling the time
The two hands, o'clock, half past, quarter past and quarter to.
💶Money and making change
Counting a sum of money and giving change using the complement method.
📏Units of measurement
Length, mass, capacity: the conversion table, step by step.
🦋Symmetry
Recognising a line of symmetry and drawing a symmetrical figure.
📐Angles
Acute, right, obtuse: recognising and measuring with a protractor.
🧊3D shapes
Cube, cuboid, cylinder, pyramid: faces, edges, vertices and nets.
🔺2D shapes
Squares, triangles, circles: recognising and classifying flat shapes.
📏Parallel and perpendicular lines
Parallel, perpendicular, intersecting: recognising them with a set square.
📦Calculating volume
Cubes and cuboids: counting unit cubes, then the formula.
Method & problem solving
Solving word problems
The 4-step method and the keywords that point to the right calculation.
📊Proportionality
Ratio tables, the scale factor and cross-multiplication, explained simply.
Understanding is good. Practising is better.
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