maths smart grade 4 © 2012 alston publishing house pte ltd 8-point compass

94
M a t h s S m a r t G r a d e 4 © 2 0 1 2 A l s t o n P u b l i s h i n g H o u s e P t e L t d 8-point compass

Upload: miguel-keyte

Post on 28-Mar-2015

223 views

Category:

Documents


4 download

TRANSCRIPT

Page 1: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte Ltd

8-pointcompass

Page 2: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

8-point compassM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 3: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdAcute angle

Page 4: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Acute angleM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Angles smaller than 90 are called acute angles.

Example:

Page 5: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte Ltd

Approximately equal to ()

Page 6: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

The sign means ‘approximately equal to’.

Example:

3468 3470 (when rounded to the nearest ten)

Approximately equal to ()M

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 7: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdCentre mark

Page 8: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Centre markM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 9: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdCommon factors

Page 10: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Common factorsM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

1 and 2 are common factors of 6 and 10.

Page 11: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte Ltd

Common multiples

Page 12: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Common multiplesM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

6, 12 and 18 are some common multiples of 2 and 3.

Page 13: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdCoordinates

Page 14: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

CoordinatesM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The strawberry is located at the point (2, 4).The point (2, 4) is a pair of coordinates.

Page 15: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdCoordinate grid

Page 16: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Coordinate gridM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

This is a coordinate grid.

Page 17: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdDegree ()

Page 18: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

We measure the size of an angle in degrees. We can also write for degree(s).

Degree ()M

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 19: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdEast

Page 20: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

EastM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 21: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdFactors

Page 22: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

FactorsM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

The factors of a number are the numbers that it can be divided exactly by.

Example:

The factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40.

Page 23: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdHeptagon

Page 24: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

HeptagonM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

A heptagon has 7 straight sides and 7 vertices.

Example:

Page 25: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdHundreds

Page 26: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

HundredsM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

2 hundreds = 200We can say that the value of 2 hundreds is the same as 200.

Page 27: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdInner scale

Page 28: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Inner scaleM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 29: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte Ltd

Irregular polygon

Page 30: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Irregular polygonM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

An irregular polygon has sides and angles that are not all equal.

Example:

Page 31: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdMultiples

Page 32: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

MultiplesM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

A multiple of a number is the product of that number and any number. A number is a factor of all its multiples.

Example:

3, 6, 9 and 12 are the first four multiples of 3.

Page 33: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdNet

Page 34: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

NetM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

A figure which can be folded to form a solid is called the net of the solid.

Example:

This is a net of a cuboid.

Page 35: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdNorth

Page 36: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

NorthM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 37: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdNorth-east

Page 38: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

North-eastM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 39: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdNorth-west

Page 40: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

North-westM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 41: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdObtuse angle

Page 42: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Obtuse angleM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Angles greater than 90 but smaller than 180 are called obtuse angles.

Example:

Page 43: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdOctagon

Page 44: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

OctagonM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

An octagon has 8 straight sides and 8 vertices.

Example:

Page 45: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdOrigin

Page 46: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

The pair of coordinates (0, 0) is called the origin.

OriginM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 47: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdOuter scale

Page 48: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Outer scaleM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 49: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdPolygon

Page 50: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

PolygonM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

A polygon is a closed figure. Its sides are formed by straight lines that do not cross one another.

Example:

Page 51: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdPrime numbers

Page 52: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

A prime number has only two factors, 1 and the number itself.

Prime numbersM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 53: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdProduct

Page 54: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

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

ProductM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 55: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdProtractor

Page 56: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

ProtractorM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

We can find the size of an angle by measuring it with a protractor.

Example:

Page 57: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdQuadrilateral

Page 58: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

QuadrilateralM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

A quadrilateral has 4 straight sides and 4 vertices.

Example:

Page 59: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdQuotient

Page 60: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

QuotientM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

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

Example:

Page 61: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdRegroup

Page 62: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

We need to regroup in a place value when-we get more than 9 after adding or multiplying; or-we subtract a greater number from a smaller number; or-we get a remainder in place values other than the ones place when dividing

RegroupM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 63: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdRegular polygon

Page 64: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Regular polygonM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

A regular polygon has all equal sides and all equal angles.

Example:

Page 65: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdRemainder

Page 66: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

RemainderM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

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

Example:

Page 67: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdRight angle

Page 68: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Right angleM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

A right angle is 90.

Example:

Page 69: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte Ltd

Round to the nearest hundred

Page 70: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

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

Round to the nearest hundredM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 71: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte Ltd

Round to the nearest

thousand

Page 72: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

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

Round to the nearest thousandM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 73: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdSouth

Page 74: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

SouthM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 75: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdSouth-east

Page 76: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

South-eastM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 77: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdSouth-west

Page 78: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

South-westM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 79: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdThousands

Page 80: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

ThousandsM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

5 thousands = 5000We can say that the value of 5 thousands is the same as 5000.

Page 81: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdUnit

Page 82: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

UnitM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Each in a bar model stands for 1 unit.

Example:

1 unit 295 units 29 × 5 = 145

Page 83: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdWest

Page 84: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

WestM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 85: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdX-axis

Page 86: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

X-axisM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 87: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdX-coordinate

Page 88: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

X-coordinateM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 89: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdY-axis

Page 90: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Y-axisM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 91: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdY-coordinate

Page 92: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Y-coordinateM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd

Page 93: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Maths Sm

art Grade 4 ©

2012 Alston Publishing House Pte LtdZero line

Page 94: Maths Smart Grade 4 © 2012 Alston Publishing House Pte Ltd 8-point compass

Zero lineM

aths Smart G

rade 4 © 2012 Alston Publishing H

ouse Pte Ltd