maths smart grade 5 © 2012 alston publishing house pte ltd 12-hour clock notation
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Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte Ltd
12-hour clock notation
12-hour clock notationM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Example:
9.00 a.m. and 5.00 p.m. are examples of times written using 12-hour clock notation.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte Ltd
24-hour clock notation
24-hour clock notationM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
When we write time using 24-hour clock notation, the time is written using four digits. The first two digits represent the hours and the last two digits represent the minutes.
Example:
9.00 a.m. is written as 09 00 and 5.00 p.m. is written as 17 00 when using 24-hour clock notation.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdAcute angle
Acute angleM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Angles smaller than 90 are called acute angles.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdAdjacent
AdjacentM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Two angles next to each other are called adjacent angles.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdAngles at a point
Angles at a pointM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The sum of angles at a point is 360.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte Ltd
Angles in a triangle
Angles in a triangleM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The sum of angles in a triangle is 180.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte Ltd
Angles on a straight line
Angles on a straight lineM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The sum of angles on a straight line is 180.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdArea
AreaM
aths SMART G
rade 5 © 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
Example:
Find the area of the rectangle shown.
Area of rectangle = 8 cm × 2 cm = 16 cm2
The area of the rectangle is 16 cm2.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdBreadth
BreadthM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The shorter side of a rectangle is called its breadth.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdCentre mark
Centre markM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdCertain
CertainM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is certain if it will always happen.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdChance
ChanceM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The probability of an event is the chance or likelihood of it happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdConvert
ConvertM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
We can convert from one unit of measurement to another.
Example:
Convert 0.4 km into metres.
0.4 km = 0. 4 × 1000 m= 400 m
We get 400 m when we convert 0.4 km into metres.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdCoordinate grid
Coordinate gridM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Example:
This is a coordinate grid.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdDuration
DurationM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Example:
A ballet performance lasted for 1 h 45 min. We can also say that the duration of the ballet performance was 1 h 45 min.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdEqually likely
Equally likelyM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is equally likely if it has an even chance of happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdEven chance
Even chanceM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is equally likely if it has an even chance of happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdEvent
EventM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is something that happens.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdGood chance
Good chanceM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is likely if it has a good chance of happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdImage
ImageM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The figure formed after a transformation is known as an image.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdImpossible
ImpossibleM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is impossible if it will never happen, or has no chance of happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdInner scale
Inner scaleM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdLength
LengthM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The longer side of a rectangle is called its length.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdLikelihood
LikelihoodM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The probability of an event is the chance or likelihood of it happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdLikely
LikelyM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is likely if it has a good chance of happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdLine graph
Line graphM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
A line graph is used to represent data which changes over time.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdMirror image
Mirror imageM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Example:
The reflected Triangle R’S’T’ is a mirror image of Triangle RST. It has the same size and shape as the original triangle.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdMirror line
Mirror lineM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Example:
In a reflection, the mirror line acts as the line of symmetry.
mirror line
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdNo chance
No chanceM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is impossible if it will never happen, or has no chance of happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdObtuse angle
Obtuse angleM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Angles greater than 90 but smaller than 180 are called obtuse angles.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdOutcome
OutcomeM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An outcome is a result.
Example:
When we throw a die, the possible outcomes are the numbers 1 to 6.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdOuter scale
Outer scaleM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdPercent (%)
Percent (%)M
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Percent (%) means out of 100.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdPerimeter
PerimeterM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
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.
Example:
Find the perimeter of the rectangle shown.
Perimeter of rectangle = 5 m + 3 m + 5 m + 3 m = 16 m
The perimeter of the rectangle is 16 m.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdPoor chance
Poor chanceM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is unlikely if it has a poor chance of happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdProbability
ProbabilityM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The probability of an event is the chance or likelihood of it happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdProbability line
Probability lineM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
A probability line can be used to show the chance or likelihood of an event happening.
Example:
This is a probability line.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdProtractor
ProtractorM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
We can find the size of an angle by measuring it with a protractor.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdQuadrant
QuadrantM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
The x-axis and the y-axis divide the coordinate grid into four sections. Each section is called a quadrant.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdReflection
ReflectionM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
When a polygon is reflected, each vertex of the polygon is at an equal and perpendicular distance from the mirror line as its image. The size and shape of the image after reflection is the same as the original polygon.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdScale
ScaleM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Markings at regular intervals on a graph.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdSecond (s)
Second (s)M
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
A unit of measurement for time.
Example:
1 minute = 60 seconds
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdSecond hand
Second handM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
A clock has an hour hand, a minute hand and a second hand. The second hand shows us the number of seconds that has passed in one minute.
second hand
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdStopwatch
StopwatchM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
A stopwatch measures duration in minutes and seconds.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdTime line
Time lineM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
A time line can be used to calculate duration.
Example:
This time line shows the duration from 20 15 to 22 20.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdTranslation
TranslationM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
When a polygon is translated, each vertex of the polygon moves the same distance in the same direction. The size and shape of the image after translation is the same as the original polygon.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdTransformation
TransformationM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
A transformation is the change in the position, shape or size of an object.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdUnlikely
UnlikelyM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
An event is unlikely if it has a poor chance of happening.
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte Ltd
Vertically opposite angles
Vertically opposite anglesM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Vertically opposite angles are formed when two straight lines cross each other at a point. Vertically opposite angles are equal.
Example:
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdX-axis
X-axisM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdX-coordinate
X-coordinateM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdY-axis
Y-axisM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd
Maths SM
ART Grade 5 ©
2012 Alston Publishing House Pte LtdY-coordinate
Y-coordinateM
aths SMART G
rade 5 © 2012 Alston Publishing H
ouse Pte Ltd