Glossary
The chances are that if you are struggling with particular words/phrases, then so are others. Add any you can think of to the Comments section on the following page so we can help each other. I will add them here, with explanations for you all.
A
Arrays
Arrays are a visual representation of a multiplication or division sum. For example, 2 x 5 can be shown in the following array with counters or dots drawn on paper:
OR
This can be used to solve the following sums: 5 x 2 = ?, 2 x 5 = ?, 10 ÷ 2 = ? or 10 ÷ 5 = ?
C
Capacity
This is referring to measures of fluids, e.g. millilitres, litres, pints, gallons, etc.
F
Four Operations
The four operations are: addition, subtraction, multiplication and division.
I
Integer
See Whole Number.
M
Mass
This is referring to measures of weights, e.g. grams, kilograms, pounds, ounces, etc.
Missing Number Sentences
A number sentence that has the answer, but one of the numbers used to get the answer is missing, e.g:
OR
Multiple
The answer when numbers are multiplied together, e.g. 2, 4, 6 and 8 are all multiples of 2.
All the answers in the times tables are multiples.
Multi-Step Problems
A problem or puzzle that needs two or more calculations to find the answer. For example: If a book priced £4.99 was reduced in a sale by 10%, how much change would you get from £10?
Step One: 10% of £4.99 = £0.49
Step Two: £4.99 - £0.49 = £4.50
Step Three: £10.00 - £4.50 = £5.50
N
Number Bonds
A number bond is a pair of numbers that add up to the number you are given. For example, Number Bonds to 10 are 1 + 9, 2 + 8, 3 + 7, and so on.
Number Families
A group of numbers that can be added or subtracted. The numbers used do not change, but the order they are used in does. Examples of number families are:
3 + 7 = 10
7 + 3 = 10
10 – 3 = 7
10 – 7 = 3
OR
2 x 3 = 6
3 x 2 = 6
6 ÷ 2 = 3
6 ÷ 3 = 2
Number Line
Lines showing numbers at regular intervals, which can be used to count up on for addition or back on for subtraction:
To work out the sum 2 + 3, your child identifies 2 on the number line and then counts up 3. The number they 'land' on will be the answer.
Number Sentences
A number sentence is an equation written in numbers. Each of the following are examples of number sentences:
2 + 4 = 6
10 – 3 = 7
3 x 2 = 6
12 ÷ 3 = 4
O
Operations
The four operations are: addition, subtraction, multiplication and division.
One-Step Problem
A problem or puzzle that only needs one calculation to find the answer, e.g. If Leah and James had 3 marbles each, how many marbles do they have altogether?
See also: Two-Step Problems and Multi-Step Problems.
P
Pictogram
A chart that represents numbers with pictures. For example, one 🙂 could represent 4 people, so this means
represents 4 + 4 + 4, which is 12 people.
Sometimes half of the symbol is shown. In this case it will represent half of 4, which is 2, so:
represents 4 + 4 + 4 + 2, which is 14 people.
Place Value
This is the value of each digit in a number. For example, the following picture shows the number 435:
4 is in the hundreds place, so has a value of 400, which can also be written as 4 hundreds.
3 is in the tens place, so has a value of 30, which can also be written as 3 tens.
5 is in the units place, so has a value of 5, which can also be written as 5 units (or ones).
The following picture shows the place values of a number with a decimal point (72.34):
7 is in the tens place, so has a value of 70 (or 7 tens)
2 is in the units place, so has a value of 2 (or 2 units)
3 is in the tenths place, so has a value of 3 tenths, which can be written as ³/₁₀
4 is in the hundredths place, so can be written as ⁴/₁₀₀
The following is a blank 'Place Value Grid' that children can write numbers in to help decide their value. Please feel free to download and use if you think it will help your child.
T
Two-Step Problems
A problem or puzzle that needs two calculations to find the answer. For example, if Joe bought a ball for £1.50 and a drink for £1.00, how much change would he get if he paid with a £5 note?
Step One: £1.50 + £1.00 = £2.50
Step Two: £5.00 - £2.50 = £2.50
W
Whole Number
A complete number that is greater than zero, i.e. 1, 2, 3, 4 and so on.
It is not a negative number or a fraction.
They are sometimes referred to as an 'integer'.
Maths Symbols
> is 'more than' or 'greater than'
< is 'less than' or 'fewer than'
Get your child to imagine the sign as the mouth of a crocodile and tell them the crocodile always 'eats' the bigger number. They may be familiar with this from school and this will help them get it the right way round.