Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdAngle

AngleM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

An angle is formed when two straight lines meet at a point. It is also the amount of turning between two straight lines which meet at a point.

Example:

An angle is marked with a curved line.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdBackward

BackwardM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

To move in a reverse direction.

Example:

Ari moves 4 squares backward to get to the tree.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdBar model

Bar modelM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A bar model can be used to represent a word problem.

Example:

There are 15 orange ribbons and 8 blue ribbons. How many ribbons are there altogether?

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdBetween

BetweenM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

265 is exactly between 260 and 270.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdColumn

ColumnM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The columns on this grid reference are labelled with the letters A to E. The column in yellow is Column C.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdComparison model

Comparison modelM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A comparison model is a type of bar model. It helps us compare two sets of objects.

Example:

Ari has 78 more than Tom.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdComposite solid

Composite solidM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A composite solid is a model that is made up of different solids.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdEdge

EdgeM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

In a solid, an edge is formed when two faces meet. It can be curved or straight.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdEstimate

EstimateM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A reasonable guess of the actual number.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdFace

FaceM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

One part of the solid; it can be flat or curved.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdForward

ForwardM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

To move ahead, towards the front.

Example:

Rita walks 2 squares forward to get to the tree.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdGrid reference

Grid referenceM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

When we give the grid reference of an object or a place, we always give the column information first and then the row information.

Example:

The turtles are in column A and row 1. So, their position on the grid reference is A1.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdHalf turn

Half turnM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Half turn = 2 right angles

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdHexagonal prism

Hexagonal prismM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A hexagonal prism has 8 faces, 18 edges and 12 vertices. Its opposite faces are in the shape of a hexagon.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdHundreds

HundredsM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

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

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte Ltd

Line of symmetry

Line of symmetryM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A line of symmetry cuts a figure into two halves that fit onto each other exactly when the figure is folded along that line.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdMultiples

MultiplesM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

When any number is multiplied by 3, the answer is a multiple of 3.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdOne thousand

One thousandM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Ten hundreds = One thousand

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte Ltd

Part-whole model

Part-whole modelM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A part-whole model is a type of bar model.

Example:

There are 465 children altogether. If there are 240 boys, how many girls are there?

We can find the missing part (girls) by subtracting the known part from the whole.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte Ltd

Pentagonal prism

Pentagonal prismM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A pentagonal prism has 7 faces, 15 edges and 10 vertices. Its opposite faces are in the shape of a pentagon.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdPrism

PrismM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A prism is a solid that has only straight edges. The two opposite faces of the prism are the same shape and size.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdQuarter turn

Quarter turnM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Quarter turn = 1 right angle

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdRange

RangeM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A range of numbers is a set of numbers.

Example:

The range ‘30 to 40’ includes the following numbers: 30, 31, 32, 33, 34, 35, 36, 37, 38, 39 and 40.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte Ltd

Rectangular prism

Rectangular prismM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A rectangular prism has 6 faces, 12 edges and 8 vertices. Its opposite faces are in the shape of a rectangle.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdRegroup

RegroupM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

We need to regroup in a place value when- we get more than 9 after adding; or- we subtract a greater number from a smaller number.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdRight angle

Right angleM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

The angle at the corner of a folded piece of paper is a right angle.

Example:

A right angle is marked with a .

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte Ltd

Round to the nearest hundred

Round to the nearest hundredM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

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 to the smaller hundred.(b) If the digit > 5, we round to the bigger hundred.(c) If the digit = 5, we round to the bigger hundred.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte Ltd

Round to the nearest ten

Round to the nearest tenM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

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

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdRow

RowM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The rows on this grid reference are labelled with the numbers 1 to5. The row in yellow is Row 4.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdSquare number

Square numberM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

When we multiply a number by itself, we get a square number.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdSymmetric figure

Symmetric figureM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A symmetric figure is a figure that has one or more lines of symmetry.

Example:

These are symmetric figures.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte Ltd

Three quarter turn

Three quarter turnM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Three quarter turn = 3 right angles

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdTriangular prism

Triangular prismM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A triangular prism has 5 faces (3 rectangular and 2 triangular), 9 edges and 6 vertices. Its opposite faces are in the shape of a triangle.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdTurn left/right

Turn left/rightM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Tom turns right at E5 and moves forward 3 squares.He then turns left at E2 and moves forward 4 squares.

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdVertex (Vertices)

Vertex (vertices)M

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

A vertex is formed when two sides meet at a point. The plural of vertex is vertices.

Example:

Maths SM

ART Grade 3 ©

2012 Alston Publishing House Pte LtdWhole turn

Whole turnM

aths SMART G

rade 3 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Whole turn = 4 right angles