Mathematics, 7–10 years — 20 topics · MyLeoNes™ Kuks
20 mathematics topics written for 7–10 years — not a older text simplified. In teaching order, each a deck of five cards: the idea, why it exists, a worked example, the common trap and where you meet it.
Mathematics · 7–10 years
Adding and subtracting by regrouping
Learn how tens and ones can be exchanged so that larger additions and subtractions stay organised.
Angles as turns
An angle tells how far one line or direction turns away from another.
Area by counting squares
Area tells how much flat space a shape covers. Covering a shape with equal squares shows why multiplying rows by columns is a quick way to find it.
Chance and probability
Compare how likely different events are, without pretending chance can be predicted exactly.
Coordinates on a grid
A pair of coordinates tells exactly where a point is by giving its across position and its up position.
Decimals as parts of one
A decimal records tenths and hundredths, placing parts smaller than one on the same number line as whole numbers.
Division as equal sharing
See division as making equal groups, and connect the answer to the number in each group and the number of groups.
Equivalent fractions
Learn why different-looking fractions can name exactly the same amount.
Factors and multiples
See how numbers fit together through equal groups and repeated jumps.
Fractions as equal parts
A fraction describes equal parts of one whole or a group. The bottom number tells how many equal parts there are, while the top number tells how many of them we mean.
Fractions on a number line
A fraction is also a number with a place on the number line. Its position lets you compare it with whole numbers and with other fractions.
Multiplication as equal groups
Multiplication is a quick way to count equal groups. It connects repeated addition, arrays and sharing the same number of objects into each group.
Number patterns
A number pattern follows a rule that makes the next number predictable. Finding the rule turns a list of numbers into a useful way of thinking.
Perimeter
Find the distance all the way around a shape by adding its side lengths, and keep it distinct from the space inside.
Place value
A digit does not have one fixed value: its place tells us what it means. This lets us read, compare and calculate with larger numbers.
Reading bar graphs
Use bars and a scale to turn a collection of counts into a picture that can be read and compared carefully.
Remainders
When a quantity cannot be split into equal whole groups, the leftover is a remainder. It tells you what is left after making as many complete groups as possible.
Rounding numbers
Rounding replaces a number with a nearby, simpler number while keeping its size sensible.
Symmetry
Notice when two sides of a shape balance like reflections in a mirror.
Volume with unit cubes
Volume tells how much space a solid object fills. Counting equal cubes builds a reliable way to find the volume of boxes and other block-shaped objects.
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