maths smart grade 5 © 2012 alston publishing house pte ltd calculator

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdCalculator

CalculatorM

aths SMART G

rade 5 © 2012 Alston Publishing H

ouse Pte Ltd

We can use a calculator to help us do addition, subtraction, multiplication and division operations.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdCentre of rotation

Centre of rotationM

aths SMART G


ouse Pte Ltd

A shape with rotational symmetry is rotated about its centre of rotation.

Example:

The shape is rotated about the black dot. The black dot is the centre of rotation.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdDecimal point

Decimal pointM

aths SMART G


ouse Pte Ltd

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

Examples:

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdDecreasing order

Decreasing orderM

aths SMART G


ouse Pte Ltd

Decreasing order means from the greatest to the smallest.

Example:

The amounts of money are arranged in decreasing order.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdDenominator

DenominatorM

aths SMART G


ouse Pte Ltd

In a fraction, the denominator is the number below the line.

Example:

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdDivisible

DivisibleM

aths SMART G


ouse Pte Ltd

A number is divisible by another number if it can be divided exactly by that number without leaving a remainder.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdDivisibility rule

Divisibility ruleM

aths SMART G


ouse Pte Ltd

We can use the divisibility rule to test if a number is divisible by another number.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte Ltd

Equilateral triangle

Equilateral triangleM

aths SMART G


ouse Pte Ltd

An equilateral triangle has 3 equal sides and 3 equal angles.

Example:

Maths SM

ART Grade 5 ©


Equivalent fraction

Equivalent fractionM

aths SMART G


ouse Pte Ltd

Fractions that have different numerators and denominators, but the same value.

Example:

and are equivalent fractions. They both havea value of 0.6. 53

106

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdEquivalent ratio

Equivalent ratioM

aths SMART G


ouse Pte Ltd

Ratios that have different terms, but the same value.

Example:

If we multiply or divide the terms of a ratio by the same number, we get an equivalent ratio.4 : 3, 8 : 6 and 16 : 12 are equivalent ratios.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdEstimate

EstimateM

aths SMART G


ouse Pte Ltd

A reasonable guess of the actual number.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdHundredths

HundredthsM

aths SMART G


ouse Pte Ltd

10 hundredths = 1 tenth

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdIncreasing order

Increasing orderM

aths SMART G


ouse Pte Ltd

Increasing order means from the smallest to the greatest.

Example:

The temperatures are arranged in increasing order.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdIsosceles triangle

Isosceles triangleM

aths SMART G


ouse Pte Ltd

An isosceles triangle has 2 equal sides and 2 equal angles.

Example:

Maths SM

ART Grade 5 ©


Negative number

Negative numberM

aths SMART G


ouse Pte Ltd

A negative number is a number which is smaller than zero.

Example:

Maths SM

ART Grade 5 ©


Number sentence

Number sentenceM

aths SMART G


ouse Pte Ltd

Example:

‘68 – 13 + 21 = 76’ is a number sentence.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdNumerator

NumeratorM

aths SMART G


ouse Pte Ltd

In a fraction, the numerator is the number above the line.

Example:

Maths SM

ART Grade 5 ©


One hundred thousand

One hundred thousandM

aths SMART G


ouse Pte Ltd

Example:

10 ten thousands = One hundred thousand or 100 000

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdOne million

One millionM

aths SMART G


ouse Pte Ltd

Example:

10 one hundred thousands = One million or 1 000 000

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdOperations

OperationsM

aths SMART G


ouse Pte Ltd

Example:

Addition, subtraction, multiplication and division are types of operations.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdParallel lines

Parallel linesM

aths SMART G


ouse Pte Ltd

Parallel lines are straight lines that are always the same distance apart and will never meet.

Example:

Maths SM

ART Grade 5 ©


Perpendicular lines

Perpendicular linesM

aths SMART G


ouse Pte Ltd

Perpendicular lines are straight lines that meet each other at right angles.

Example:

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdPositive number

Positive numberM

aths SMART G


ouse Pte Ltd

A positive number is a number which is greater than zero.

Example:

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdProduct

ProductM

aths SMART G


ouse Pte Ltd

When we multiply numbers, the answer is called the product.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdQuotient

QuotientM

aths SMART G


ouse Pte Ltd

When we divide a number by another number, the answer we get is called the quotient.

Maths SM

ART Grade 5 ©

2012 Alston Publishing House Pte LtdRatio

RatioM

aths SMART G


ouse Pte Ltd

A ratio is a comparison of quantities.

Example:

The ratio of the number of toadstools to the number of dragonflies is 6 : 5.

Reflective symmetryM

aths SMART G


ouse Pte Ltd

A polygon has reflective symmetry if one half of the polygon is a mirror image of the other half.

Example:

This triangle has reflective symmetry.

RemainderM

aths SMART G


ouse Pte Ltd

Remainder is the amount that is left over when a number is divided by another number.

Right-angled triangleM

aths SMART G


ouse Pte Ltd

A right-angled triangle is a triangle with 1 right angle.

Example:

RotateM

aths SMART G


ouse Pte Ltd

Example:

We rotate the rectangle in a clockwise direction to make one complete turn.

Rotational symmetryM

aths SMART G


ouse Pte Ltd

A shape has rotational symmetry if it can fit exactly onto itself more than once during a complete turn.

Example:

This square has rotational symmetry.

Round to 1 decimal placeM

aths SMART G


ouse Pte Ltd

When we round a number to 1 decimal place, we look at the digits in the hundredths place.(a)If the digit < 5, we round it to the smaller tenth.(b)If the digit > 5, we round it to the bigger tenth.(c)If the digit = 5, we round it to the bigger tenth.

Round to the nearest whole numberM

aths SMART G


ouse Pte Ltd

When we round a number to the nearest whole number, we look at the digits in the tenths place.(a)If the digit < 5, we round it to the smaller one.(b)If the digit > 5, we round it to the bigger one.(c)If the digit = 5, we round it to the bigger one.

Scalene triangleM

aths SMART G


ouse Pte Ltd

A scalene triangle is a triangle with 3 sides of 3 different lengths. It has no equal angles.

Example:

Simplest formM

aths SMART G


ouse Pte Ltd

We get the simplest form of a ratio when we cannot divide the terms further by any other common factors, except 1.

Example:

4 : 3 is the ratio in its simplest form.

TenthsM

aths SMART G


ouse Pte Ltd

10 tenths = 1 one

TermsM

aths SMART G


ouse Pte Ltd

The numbers in a ratio are known as terms.

Example:

The ratio of the number of toadstools to the number of dragonflies is 6 : 5. The numbers 6 and 5 are terms.

maths smart grade 5 © 2012 alston publishing house pte ltd calculator

Documents

actual number

hundredths place

tenths place

smaller tenth

division operations

decimal placeround

decimal placewhen

types of operations