Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd

Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd
Add mentally

Add mentally When we add numbers mentally, we are trying to find a quick way of adding the numbers in our heads. Example: Add 1473 and 206 mentally.

Area

Area Area is a measure of the amount of space inside a flat shape or figure.

Carroll diagram

Carroll diagram A Carroll diagram helps us sort data in a ‘yes’ or ‘no’ manner. A simple Carroll diagram has two groups. If the first group is labelled ‘A’, then the second group is usually labelled ‘Not A’. We can further sort the data in the two groups into two more groups to get four groups as shown.

Carroll diagram Example:
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Carroll diagram Example: or This Carroll diagram sorts the animals according to whether they are owls and whether they are brown.

Count back

Count back Counting down from a bigger number to a smaller number.
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Count back Counting down from a bigger number to a smaller number. Example: To get from 6231 to 4000, we count back in thousands first, then hundreds, tens and finally ones.

Count on

Count on Counting up from a smaller number to a bigger number.
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Count on Counting up from a smaller number to a bigger number. Example: To get from 3787 to 6000, we count on in thousands first, then hundreds, tens and finally ones.

Decimal

Decimal A fraction can be written as a decimal. A decimal has a whole number part and a fraction part that is separated by a decimal point. Example: 65.27 is a decimal number.

Decimal point

Decimal point A decimal point separates the whole number part from the fraction part of the number. Example:

Double

Double When we find the double of a number, we add the number to itself. Example: Double 2550. So, double 2550 is 5100.

Duration

Duration The amount of time an event lasts for (between starting time and ending time). Example: A cooking class started at 3.30 p.m. and ended at 5.30 p.m. What was the duration of the cooking class? The duration of the cooking class was 2 h.

Half

Half When we find half of a number, we divide the number by 2.
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Half When we find half of a number, we divide the number by 2. Example: Half of 6700. So, half of 6700 is 3350.

Hundredth

Hundredth When we divide one whole into 100 equal parts, each part is one hundredth of the whole. Example: (1 hundredth) = 0.01

Improper fraction

Improper fraction An improper fraction has a numerator that is greater than or equal to its denominator. The value of an improper fraction is equal to or greater than 1. Example: The improper fraction represented by the shaded parts is .

Millimetre (mm)

Millimetre (mm) A unit of measurement for length. Example:
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Millimetre (mm) A unit of measurement for length. Example: The length of the nail is 18 millimetres (or 18 mm).

Mixed number

Mixed number A mixed number is made up of a whole number and a fraction. The value of a mixed number is always greater than 1. Example: The mixed number represented by the shaded parts is

Multiply mentally

Multiply mentally When we multiply numbers mentally, we are trying to find a quick way of multiplying the numbers in our heads. Example: Multiply 6 and 30 mentally.

Perimeter

Perimeter The perimeter of a figure is the total distance around all the sides of the figure. Example: The perimeter of the rectangle is 14 cm.

Proper fraction

Proper fraction A proper fraction has a numerator that is smaller than its denominator. The value of a proper fraction is between 0 and 1. Example: The proper fraction represented by the shaded part is .

Round to the nearest tenth
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Round to the nearest tenth

Round to the nearest tenth
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Round to the nearest tenth When we round a number to the nearest tenth, we look at the digit in the hundredths place. If the digit < 5, we round it to the smaller tenth. If the digit > 5, we round it to the bigger tenth. If the digit = 5, we round it to the bigger tenth.

Round to 1 decimal place

Round to 1 decimal place Rounding to 1 decimal place is the same as rounding to the nearest tenth.

Round to the nearest whole number
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Round to the nearest whole number

Round to the nearest whole number
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Round to the nearest whole number When we round a number to the nearest whole number, we look at the digit in the tenths place. If the digit < 5, we round it to the smaller whole number. If the digit > 5, we round it to the bigger whole number. If the digit = 5, we round it to the bigger whole number.

Square centimetre (cm2)
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Square centimetre (cm2) A unit of measurement for area. Example: The area of the square is 1 square centimetre (or 1 cm2).

Square metre (m2)

Square metre (m2) A unit of measurement for area. Example:
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Square metre (m2) A unit of measurement for area. Example: The area of the square is 1 square metre (or 1 m2).

Square unit

Square unit A unit of measurement for area. Example:
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Square unit A unit of measurement for area. Example: The area of the figure is 6 square units.

Subtract mentally

Subtract mentally When we subtract numbers mentally, we are trying to find a quick way of subtracting the numbers in our heads. Example: Subtract 302 from mentally.

Tenth

Tenth When we divide one whole into 10 equal parts, each part is one tenth of the whole. Example: (1 tenth) = 0.1

Time line

Time line We use a time line to help us calculate duration. Example:
Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd Time line We use a time line to help us calculate duration. Example: Ari’s birthday party began at a.m. and ended at 2.50 p.m. The duration of the party was 3 h 20 min.

Venn diagram

Venn diagram A Venn diagram uses circles to help us sort data into different groups. Example: This Venn diagram sorts the data according to whether they are multiples of 2, multiples of 5 and/or two-digit numbers.

Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd

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