Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Area.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdArea

AreaM

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rade 6 © 2012 Alston Publishing H

ouse Pte Ltd

Area is the amount of space inside a flat shape or figure. We find the area of a square or rectangle by using:

Area = Length × Breadth

We can also find the area of a composite figure.

AreaM

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Example:

Find the area of JKLMNO below.

AreaM

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Example:

Find the area of JKLMNO below.

The area of JKLMNO is 72 cm2.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdAverage

AverageM

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An average is a ‘typical’ value of the data set. It is usually a middle value and tells us approximately what most of the values in the data set are close to or similar to.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdComposite figure

Composite figureM

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A composite figure is made up of two or more different shapes joined together.

Example:

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte Ltd

Conversion graph

Conversion graphM

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A conversion graph is a type of line graph. It shows the relationship between two units of measurement. It can be used to help us convert from one unit of measurement to another.

Conversion graphM

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Example:

This conversion graph shows the conversion between US dollars and pounds on a particular day.

Maths SM

ART Grade 6 ©


Coordinated Universal Time

(UTC)

Coordinated Universal Time (UTC)M

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Coordinated Universal Time (UTC) is a global time standard used to calculate local times around the world.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdDesired outcome

Desired outcomeM

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A desired outcome is a result that we want.

Maths SM

ART Grade 6 ©


Experimental probability

Experimental probabilityM

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Experimental probability is the probability of an event found through experiments.

Experimental probability of an event=

out carried is experiment the timesof number Totalexperiment the in outcomes desiredof Number

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdFoot (ft)

Foot (ft)M

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1 foot

1 ft = 12 in.

An imperial unit of measurement for length.

Example:

The length from the 0 mark to the 12 mark on an inch ruler is 1 foot (or 1 ft).

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdGallon (gal)

Gallon (gal)M

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An imperial unit of measurement for capacity.

Example:

The capacity of the water barrel is 5 gallons (or 5 gal).

1 gal = 4 qt = 8 pt

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdImperial units

Imperial unitsM

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Imperial units are units of measurement used in the imperial system of measurement. Some parts of the world still use this imperial system that was originally developed for the British Empire in 1824.

Some imperial units of measurement for length are inch (in.), foot (ft), yard (yd) and mile (mi). Some imperial units of measurement for mass are ounce (oz) and pound (lb).Some imperial units of measurement for capacity are pint (pt), quart (qt) and gallon (gal).

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdInch (in.)

Inch (in.)M

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Example:

The length from the 0 mark to the 1 mark on an inch ruler is 1 inch (or 1 in.).

1 inch

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdLocal time

Local timeM

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The current time in a particular city is called the local time. The local times in different parts of the world are different.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdMean

MeanM

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The mean is the total number or amount divided by the number of items.

The mean is the most common way of finding an average. In real life, when we use the word average (such as average salary or average height), we are most likely talking about the mean.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdMedian

MedianM

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The median is the middle value of a set of data when it is arranged in order. When there is an even number of values arranged in order, the median is the mean of the two middle values.

The median is a good average when there is a very high or very low value in the data set.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdMetric units

Metric unitsM

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Metric units are units of measurement used in the metric system, an international system of measurement that is used in almost every country in the world.

Units of measurement such as millimetre, centimetre, metre, kilometre, gram, kilogram, millilitre and litre are known as metric units.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdMile (mi)

Mile (mi)M

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1 mi = 1760 yd


Example:

The distance between Tom’s house and the airport is 5 miles (or 5 mi).

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdMode

ModeM

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The mode is the value that occurs the most often or has the highest frequency in the data.

The mode is a good average when there are many identical values in the data set.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdOunce (oz)

Ounce (oz)M

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An imperial unit of measurement for mass.

Example:

The mass of a slice of bread is about 1 ounce (or 1 oz).

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdPerimeter

PerimeterM

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The perimeter of a figure is the total distance around all the sides of the figure. We find the perimeter of a figure by adding up the lengths of all its sides.

PerimeterM

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Example:

Find the perimeter of the paper below.

The perimeter of the paper is 40 cm.

Maths SM

ART Grade 6 ©

2012 Alston Publishing House Pte LtdPie chart

Pie chartM

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A pie chart is a type of graph that is in the shape of a circle. It is divided into different parts to represent the quantities of different items.

A pie chart represents 1 whole or 100%. Each part of the pie chart represents the quantity of each item in the form of a number, a fraction or a percentage.

Pint (pt)M

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Example:

The capacity of the tub of ice-cream is 3 pints (or 3 pt).

Possible outcomeM

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A possible outcome is a result that we can get.

Pound (lb)M

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An imperial unit of measurement for mass.

Example:

The laptop has a mass of about 5 pounds (or 5 lb).

1 lb = 16 oz

Quart (qt)M

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Example:

The capacity of the cooler box is 9 quarts (or 9 qt).

1 qt = 2 pt

RandomM

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When an event occurs at random, it means that each possible outcome has an equal chance of being chosen.

RangeM

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The range is the difference between the greatest value and the smallest value in a set of data. It shows us how the data in the set is spread out.

Theoretical probabilityM

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We can find theoretical probability in this way:

Theoretical probability of an event=

outcomes possibleof number Totaloutcomes desiredof Number

Time differenceM

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The difference in time between two cities.

Example:

The time difference between the local times in London and Mumbai is 5 h 30 min.

Time zoneM

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The world is divided into 24 main time zones. The partsof the world that are in the same time zone have the same local time.

Example:

This is a time zone map. We can use thismap to find the time zone of a particular city.

Yard (yd)M

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Example:

The length of a standard soccer field is 100 yards (or 100 yd). Its breadth is 60 yards (or 60 yd).

1 yd = 3 ft

100 yd

60 yd

Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Area.

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