Picture Dictionary

Pongsuwanwittaya School

Lumlukka, Pathumtani

MATH DETECTIVE FOLDER 5

Name__________________Grade___ Student No.__

1

Preface

We present this book as a guideline to help the students in gaining additional knowledge in Math. It is intended to aid students learning how to use words through conversation and provide more information by recognizing the images content in this book.

We would like also to acknowledge and express our special thanks of gratitude to our dear Pongsuwanwittaya School for giving us guidelines and made this book successful. We are grateful as well for the parents and students that serves as our inspiration.

However, this book has been made not only for attaining high marks but also increase the student’s understanding.

PSW English Teachers 2

Contents Mind Map

Chapter 1 Whole Numbers ………………………………………………………………… 4

Chapter 2 Fractions……………………………………………………………………….... 7

Chapter 3 Operations on fractions .................................................................................…...10

Chapter 4 Decimals …………………………………………………………………..…….13

Chapter 5 Addition, subtraction and multiplication of decimals…………………………...15

Chapter 6 Percentage ………………………………………………..…………………….17

Chapter 7 Angles and parallel lines ………………………………………………….…....19

Chapter 8 Quadrilaterals……………………………………………………….....…….….21

Chapter 9 Triangles …………………………………………………………………….....23

Chapter 10 Circles.......................................................................................................…........25

Chapter 11 Three- dimensional (3-D) shapes and volume of a cuboid..........................….....26

Chapter 12 Statistics and Probability .......................................................……….................28

Picture Dictionary

Chapter 1 Whole Numbers ………………………………………………………………… 29

Chapter 2 Fractions………………………………………………………………………....30

Chapter 3 Operations on fractions .................................................................................…...31

Chapter 4 Decimals …………………………………………………………………..…….32

Chapter 5 Addition, subtraction and multiplication of decimals…………………………...33

Chapter 6 Percentage ………………………………………………..…………………….34

Chapter 7 Angles and parallel lines ………………………………………………….…....35

Chapter 8 Quadrilaterals……………………………………………………….....…….….36

Chapter 9 Triangles …………………………………………………………………….....37

Chapter 10 Circles.......................................................................................................…........38

Chapter 11 Three- dimensional (3-D) shapes and volume of a cuboid..........................….....39

Chapter 12 Statistics and Probability .......................................................……….................40

Glossary…………………………………………………………………………………………………..41 -44

3

Math 5

Chapter 1: Whole Numbers

Whole Numbers

A. Rounding off whole numbers

C. Performed combined operations

D. Using combined

operations to solve word

B. Number patterns

E. Creating and solving word

problems based on number sentences

4

Conversation:

A. Rounding off whole numbers

What do you call of the numbers with no fraction?

That is whole numbers.

Round off 2,589 to the nearest hundred. The answer is 2,600

Round off 5,329 to the nearest thousand.

The answer is 5,000

B. Number patterns

It is a list of numbers that follow a certain sequence, what is that called?

It is a number pattern.

What is the next number in the number pattern?

5, 10, 15, __

The next number is 20, each number I use plus 5.

Answer the following. What is the next number in the pattern?

4, 6, 18, ____

The next number is 32

C. Performed combined operations

What is the rule in answering combined operations?

Always do the operations in the bracket first.

What are the different operations you will use?

I will use plus, minus, times and divide.

Calculate the following.

(237,509 + 406,841) ÷ 70

What are the operations involved?

Addition and Division

What is the answer?

The answer is 9,205

5

More Words:

Sequence Addition Apple Grapes

Bracket Division Banana Altogether

D. Using combined operations to solve word problems

Ana bought 5 apples, 5 bananas and grapes. Each apples cost 20 Baht, each bananas cost 10 Baht and the grapes cost 50 Baht. How much money did Ana spend altogether?

What did Ana buy?

Ana bought Apples, bananas and grapes

What operation do you use?

I use multiplication and addition

How much money did Ana spend altogether?

(20 x 5) + (10 x 5) + 50

= 200 Baht

Ana spend 200 Baht altogether

E. Creating and solving word problems based on number sentences

How to create word problems?

Understand the number sentence given

How to solve word problems?

I will use combined operations to solve word problems.

6

Chapter 2: Fractions

Fractions

A. Equivalent Fractions

C. Simplest form of fraction

D. Fractions equivalent to

whole numbers

B. Comparing and ordering

fractions

E. Types of fractions

7

Conversation:

A. Equivalent Fractions

What is equivalent fractions? Fractions of the same

value What is the equivalent fraction of 𝟐𝟐

𝟒𝟒 ?

The equivalent fraction

of 24 is 1

2 .

What do you call the number above the line in fractions? That is numerator

What is the numerator in 𝟑𝟑

𝟓𝟓 ?

The numerator is 3.

What is the denominator in 𝟑𝟑

𝟓𝟓

? The denominator is 5

B. Comparing and ordering fractions

What is greater fraction?

The fraction with greater numerator is the greater fraction.

Which is greater 𝟑𝟑𝟓𝟓 or𝟐𝟐

𝟓𝟓 ?

35 is greater than 2

5

Numbers arrange from smallest to greatest number called?

It is an ascending order.

Numbers arrange from greatest to smallest number called?

It is a descending order.

C. Simplest form of fraction

If the numerator and denominator cannot be divided by any whole number except 1, what do you call of that?

That is simplest form.

What is the simplest form of 𝟓𝟓𝟏𝟏𝟓𝟓

?

The simplest form of 𝟓𝟓𝟏𝟏𝟓𝟓

is 𝟏𝟏𝟑𝟑 .

What is the simplest form of 𝟐𝟐𝟐𝟐𝟒𝟒𝟐𝟐

?

The simplest form of 𝟐𝟐𝟐𝟐𝟒𝟒𝟐𝟐

is 𝟏𝟏𝟐𝟐

8

More Words:

Numerator Greater than Proper Fraction Mixed

Denominator Less than Improper Fraction Same

D. Types of fractions

This fraction has the smaller numerator than denominator, what is this?

That is a proper fraction.

This fraction has the numerator equal to or greater than the denominator, what is this?

That is improper fraction.

It is consists of a whole number and a proper fraction, what is this?

That is mixed numbers.

𝟐𝟐𝟕𝟕 Is that a mixed number?

No it isn’t

D. Fractions equivalent to whole numbers

How can you know that fractions equivalent to 1?

When the numerator and denominator is the same.

What is the whole number that

equivalent to 𝟐𝟐𝟏𝟏𝟑𝟑

?

The whole number is 7.

What is the equivalent whole

number of 𝟑𝟑𝟐𝟐𝟏𝟏𝟐𝟐

?

The equivalent whole number is 3

9

Chapter 3: Operations on fractions

Operation on fractions

A. Addition of fractions

B. Subtraction of fractions

D. Multiplication of fractions

E. Division of fractions

C. Solving word problems involving addition and subtraction of fractions

F. Solving word problems involving multiplication and division of fractions

G. Combined Operations of fraction

H. Fraction Patterns

10

Conversation:

A. Addition of fractions

How to add fractions with the same denominator?

Add the numerators and maintain the denominator.

What is the sum of the following 𝟐𝟐

𝟗𝟗 + 𝟓𝟓

𝟗𝟗 = ?

The sum is 7

9 .

B. Subtraction of fractions

How to subtract fractions with the same denominator?

Subtract the numerators and maintain the denominator.

What operation you used in subtraction?

I used minus (-).

C. Solving word problems involving addition and

Pub buys 𝟖𝟖𝟏𝟏𝟐𝟐

kilogram of oranges.

Kin gives Pub 𝟏𝟏𝟐𝟐 kilogram of

oranges. What is the total mass of the oranges that Pub has now?

What did Pub buy?

Pub buy Oranges.

What operation do you use?

I use Addition.

D. Multiplication of fractions

What do you call the answer of multiplication?

The answer of multiplication is product.

The product of 13 x 9 is equal to 3 is

that correct?

Yes it is

E. Division of fractions

What you will get if we switch the positions of numerator and denominator?

I will get the reciprocal of the fractions.

What is the reciprocal of 79 ?

The reciprocal of 79 is 9

7 .

How to divide fractions?

I change divide sign to times sign and replace the divisor to its reciprocal.

11

F. Solving word problems involving

multiplication and division of fractions G. Combined Operations of

fraction H. Fraction Patterns

Ken has 60 kg of rice. Ken packs the

rice into bags of 𝟑𝟑𝟕𝟕 kg each. How many

bags of rice does Ken pack?

What operation do you use?

I use division.

What is the reciprocal of 𝟑𝟑𝟕𝟕 ?

The reciprocal of 37 is 7

3 .

Do you need to change the operation to times sign?

Yes I will

What are the different operations?

The operations are addition subtraction and multiplication.

What is the first important step in solving combined operations?

Do the operation in brackets

( 49 + 9

15) x 4

7 =

What operation you used?

I used Addition and Multiplication

What is the answer?

The answer is 45

What are fraction patterns?

Fraction patterns are repeated and in sequence.

𝟔𝟔𝟏𝟏𝟐𝟐

, 𝟕𝟕𝟏𝟏𝟐𝟐

, ____ the next pattern is 𝟓𝟓𝟏𝟏𝟐𝟐

is that correct?

No it isn’t

What is the correct answer?

The correct answer is 810

12

Chapter 4: Decimals

Decimals

A. Reading and naming decimals

C. Writing decimals in expanded

form

D. Comparing and ordering

decimals

B. Place values and digit values

E. Decimals and fractions.

13

Conversation:

A. Reading and naming decimals

In decimal way how to read 𝟏𝟏𝟏𝟏𝟐𝟐𝟐𝟐

? It is zero point zero one.

How do we write 14 hundredths in decimal? It should be write as 0.14.

B. Place values and digit values

What is the place value of 5 in 564?

The place value of 5 is in the hundred place.

What is the digit value of 5 in 0.54?

The digit value of 5 is 0.5.

C. Writing decimals in expanded form

What is expanded form?

It is the way to write numbers by showing the value of each digits.

What is 0. 45 written in expanded form?

The expanded form of 0.45 is 0.4 + 0.05

D. Comparing and ordering decimals

Which is greater 3.79 or 3.49?

The greater is 3.79.

Which is less than 33. 50 or 33.80?

The less than is 33.50.

What is ascending order?

Numbers start in smallest to greatest

What is descending order?

Numbers start in greatest to smallest

D. Comparing and ordering decimals

In fraction it is 𝟖𝟖𝟏𝟏𝟐𝟐

, what is the

equivalent of the value in decimal?

The value is 0.8 in decimal.

Can you also convert decimal in fraction?

Yes I can

14

Chapter 5: Addition, Subtraction and Multiplication of decimals

Addition, Subtraction and Multiplication of

decimals

A. Addition of decimals

C. Solving word problems involving

addition and subtraction of

decimals

D. Multiplication and Division properties of equality

B. Subtraction of decimals

E. Solving word problems involving multiplication of decimals

F. Solving word problems involving equations

G. Decimal patterns

15

Conversation:

A. Addition of decimals

What do you call the answer of addition? The answer of addition

is Sum. What is the operation symbol use in Addition? The operation is plus (+)

.

B. Subtraction of decimals

What do you call the answer of subtraction?

The answer of subtraction is difference.

What operation symbol use in Subtraction?

The operation is minus (-).

C. Solving word problems involving addition and subtraction of decimals

Ben has a rope that is 12 meters long. 4.45 meters of the rope is cut off. How much of the rope does Ben have left?

What do you need to find?

The length of the rope that Ben has left.

What operation do you use?

I use subtraction

D. Multiplication of decimals

What do you call the answer of multiplication?

The answer of multiplication is product.

What operation symbol use in Multiplication?

The operation use is times (x).

E. Solving word problems involving multiplication of decimals

How to solve word problems?

Understand the given problem.

A pen costs 5 Baht. How much do 10 pens cost?

What operation do you use in the given problem?

I use multiplication If I will multiply 5 Baht x 10, does the answer is 50 Baht?

Yes it does

F. Performing combined operations on decimal

G. Decimal patterns

What will you answer first (9.5 - 7) x 3?

I will answer first the number in the bracket.

What is the answer?

The answer is 7.5

Can we combined addition and multiplication?

Yes we can

4.10, 4.12, _____

Is the next pattern is 4.15?

No it isn’t

What is the next number in the decimal pattern above?

The next decimal pattern is 4.14

16

Chapter 6: Percentage

Percentage

A. Using fractions

to solve multiplication and division problems

C. Percentage of whole numbers

D. Discount

B. Percentage

E. Profit and Loss

17

Conversation:

A. Using fractions to solve multiplication and division problems

Do you know that a division can be written in the form of fraction? Yes I do

What is dividend? Dividend is the number to

be divided by other number If 8 is dividend and 2 is your quotient .What do you call in 4? 8 ÷ 4 = 2 The divisor is 4.

B. Percentage

What is percent means?

Percent means “out of 100 “

What is 40 percent means?

It means 40 out of 100

Convert 𝟐𝟐𝟓𝟓 into a percentage.

25 is equal to 40%

What is 𝟏𝟏𝟓𝟓 of 45?

15 of 45 is 9

C. Percentage of whole numbers

What is 𝟏𝟏𝟐𝟐𝟏𝟏𝟐𝟐𝟐𝟐

in percent?

It is 12 percent.

5% of 500 is equal to ___.What is the answer?

The answer is 25

D. Discount

What is discount?

Discount means deduction

The bag cost 300 Baht. How much does the bag cost after a 20 % discount?

How many percent is the discount?

It has 20 % discount

What is the cost of the bag?

The cost is 300 Baht.

E. Profit and loss

What do you call the amount of money earned by the seller when the selling price is higher than the cost of product?

That is a profit

What is the formula in getting the profit?

Profit = Selling price - Cost

When the selling price is lower than the cost of the product what do we call of it?

That is loss

What is the formula in getting the loss?

Loss= Cost – Selling price

18

Chapter 7: Angles and parallel lines

Angles and parallel lines

A. Types of Angles

C. Drawing Angles

D. Drawing parallel lines using a set square

B. Measuring Angles

19

Conversation:

A. Types of Angles

What are the different types of angles? The different angles

are Right angle, acute angle, Obtuse angle, Straight angle and Reflex angle.

What type of angle is smaller than a right angle? It is an acute angle.

B. Measuring Angles

What instrument you use in measuring the sizes of angles?

I use protractor to measure sizes of angles

What is the measurement of Straight angle?

It is exactly 1800

C. Drawing Angles

Do you need to use protractor in drawing angles?

Yes I do

Why you need to use protractor?

To align correctly the size of angle.

D. Drawing parallel lines using a set square

What is parallel lines?

Lines that will never intersect

What you will use to draw parallel lines?

I will use Set Square.

20

Chapter 8: Quadrilaterals

Quadrilaterals

A. Types of Quadrilaterals

C. Drawing rectangles

D. Perimeter of

Quadrilateral

B. Axes of symmetry of

quadrilaterals

E. Area of a rectangle

21

Conversation:

A. Types of Quadrilaterals

What is quadrilaterals? They have four sides

and four angles What are the different types of quadrilaterals? The different types of

quadrilaterals are square, rectangle, rhombus, parallelogram, trapezium and kite

B. Axes of symmetry of quadrilaterals

What is the dividing line known as?

It is known as axis of symmetry

C. Drawing rectangles

Can we use Set Square or protractor in drawing rectangles?

Yes we can

What is line segment?

It is a part of a line that connects two points.

D. Perimeter of Quadrilateral

What quadrilateral has a formula like this in getting perimeter?

Length of side x 4

The quadrilateral is square

Each side of a square playground is 10 meters long. What is the perimeter of the playground?

The perimeter is 40 𝑚𝑚2

D. Area of a rectangle

What is the formula in getting the area of rectangle?

The formula is Area of square = Length x with

If the width of the rectangular piece of paper is 4 cm and the length is 3 cm. What is the area of the paper?

The area of the paper is 12𝑐𝑐𝑚𝑚2.

22

Chapter 9: Triangles

Triangles

A. Types of Triangles

C. . Base, Base angles, vertex and height of a triangle D. Drawing

triangles

B. Axes of symmetry of

triangles

E. Interior Angles of triangles

F. Perimeter of Triangle

G. Area of triangle

23

Conversation:

A. Types of triangles

How many sides has a triangle? Triangle has 3 sides

Which triangle has two sides are equal and two angles are equal? It is an isosceles

triangle What are the triangles classified base on their sides? They are Equilateral,

Isosceles and Scalene triangle

B. Axes of symmetry of triangles

Does all the triangles has axis of symmetry?

No it doesn’t

C. Base, Base angles, vertex and height of a triangle

What is vertex?

It is the top or the highest point

It is called the length of the line. What is it?

It is the height

D. Drawing triangles

What tool we use in drawing triangles?

We will use compass

We can able to draw triangles if we are given the lengths of all its sides, is it correct?

Yes it is

E. Interior Angles of triangles

What do you call an angle inside the shape?

It is called interior angle

What is the sum of the interior angles of any triangles?

The sum is 1800

F. Perimeter of Triangle G. Area of a triangle

What operation we use in getting the perimeter of triangle?

We will use addition

An equilateral triangle has sides of 7 cm long. What is its perimeter?

The perimeter is 21 𝒄𝒄𝒄𝒄𝟐𝟐

What is the formula in getting the Area of triangle?

Area of triangle = 12 x base x height

A triangle has a length of 5 m and a height of 6 m. What is the area of the triangle?

The area of the triangle is 15 𝒄𝒄𝟐𝟐

24

Chapter 10: Circles

Conversation:

Circles

A. Drawing Circles

B. Using circles to create designs

A. Drawing Circles

What tool you use to draw a circle?

I will use compass to draw circle. What do you call a straight line from the center to the circumference of a circle? It is radius.

What is the name of a circle usually referred to? Its center

B. Using circles to create designs

Can you create designs using circles?

Yes I can

Can you create cubes using circles?

No I can’t

25

Chapter 11: Three- dimensional (3-D) shapes and volume of a cuboid

Three- dimensional (3-D) shapes and volume

of a cuboid

A. Three- dimensional (3-D) shapes

C. Relationship between units

of volume

D. Solving word problems involving volume/capacity

B. Volume of a cuboid

26

Conversation:

A. Three- dimensional (3-D) shapes

What is the shape of pyramid? The shape of the

pyramid is triangle This 3-d shape has only one curved face with no vertex or edges. What is this? That is sphere.

How many rectangular faces cuboid have? It has 6 rectangular

faces.

B. Volume of a cuboid

How many space unit cube can occupied?

It is 1 cubic unit

What do you call the amount of space occupied by the solid?

It is the volume of solid.

C. Relationship between units of volume

Is it 1 cubic meter equals to 1,000 liters?

Yes it is

1 milliliter is equal to?

1 cubic meter

1 liter is equal to?

1,000 milliliter

How about 1 milliliter equals to 1000 cubic centimeters. Is that correct?

No it isn’t

How to solve word problems?

Understand the given problem

What is the symbol of liter?

The symbol of liter is L.

An aquarium is 70 cm long, 40 cm wide and 30 cm tall. What is the capacity of the aquarium?

What operation you used in the problem?

I used multiplication

What is the answer?

Volume = 70 cm x 40 cm x 30 cm

= 84,000 𝒄𝒄𝒄𝒄𝟑𝟑

The capacity of the aquarium is 84,000 𝑐𝑐𝑚𝑚3

D. Solving word problems involving volume/capacity

27

Chapter 12: Statistics and Probability

Conversation:

Statistics and Probability

A. Bar charts with a jagged line

C. Probability

B. Multiple Bar charts

A. Bar charts with a jagged line

What is another term for bar chart? The other term is bar graph

It is the top to bottom line in the graph, what is this? That is vertical axis

B. Multiple bar Charts

What kind of chart in which multiple data sets are represented?

It is multiple bar chart How many information can you set in a multiple bar chart? It is two or more sets in a

single chart.

There are 12 months in a year, is it certain or impossible?

It is certain.

Is it possible to see the sun at night?

No it isn’t

There will be rainbow after the rain, is it possible or impossible?

That is possible.

C. Probability

28

Chapter 1: Whole Numbers

Number Pattern /ˈnəmbər ˈpadərn /

Whole numbers /hōl ˈnəmbər/

Hundred /ˈhəndrəd/

Word Problems /wərd ˈpräbləms/

29

Chapter 2: Fractions

Simplest Form /ˈsimpəlest fôrm/

Greater than /ɡrāter THan,THən/

Fraction /ˈfrakSH(ə)n/

Equivalent fraction

/əˈkwiv(ə)lənt ˈfrakSH(ə)n/

Numerator /ˈn(y)o͞oməˌrādər/

Ascending order /əˈsendiNG ˈôrdər/

Improper fraction /imˈpräpər ˈˌfrakSHən/

Proper Fraction /ˈpräpər ˈˌfrakSHən/

30

Chapter 3: Operations on Fractions

Multiplication /məltəpləˈkāSH(ə)n/

Reciprocal /rəˈsiprək(ə)l/

Addition /əˈdiSH(ə)n/

Subtraction /səbˈtrakSH(ə)n/

Division /dəˈviZHən/

31

Chapter 4: Decimals

Expanded Form /ikˈspandəd fôrm/

Less than / les THan,THən /

Decimal /ˈdes(ə)məl/

Place value /plās ˈvalyo͞o/

Greater than /ɡrāter THan,THən/

32

Chapter 5: Addition, Subtraction and multiplication of decimals

Length /leNG(k)/

Sum /səm/

Plus /pləs/

Minus /ˈmīnəs/

Difference /ˈdif(ə)rəns/

Product /ˈprädəkt/

Times /tīmz/

Bracket /ˈbrakit/

33

Chapter 6: Percentage

Profit /ˈpräfət/

Dividend /ˈdivəˌdend/

Divisor /dəˈvīzər/

Discount /ˈdiskount/

Percent /pərˈsent/

Loss /lôs,läs/

34

Chapter 7: Angles and parallel lines

Angle /ˈaNGɡəl/

Acute Angles /əˈkyo͞ot ˈaNGɡəl /

Straight Angle / strāt ˈaNGɡəl /

Protractor /ˌprōˈtraktər/

Set Square /set skwer/

Parallel lines /ˈperəˌlel līns/

35

Chapter 8: Quadrilaterals

Parallelogram /ˌperəˈleləˌɡram/

Quadrilaterals /

Square /skwer/

Rectangle /ˈrekˌtaNGɡəl/

Rhombus /ˈrämbəs/

Trapezium /trəˈpēzēəm/

Kite /kīt/

Line Segment /līn ˈseɡmənt/

36

Chapter 9: Triangles

Protractor /ˌprōˈtraktər/

Triangle /ˈtrīˌaNGɡəl/

Isosceles Triangle

/īˈsäsəˌlēz ˈtrīˌaNGɡəl /

Height /hīt/

Vertex /ˈvərˌteks/

Interior Angle /ˌinˈtirēər ˈaNGɡəl/

Perimeter /pəˈrimidər/

Area /ˈerēə/

37

Chapter 10: Circles

Compass /ˈkəmpəs/

Circle /ˈsərk(ə)l/

Radius /ˈrādēəs/

38

Chapter 11: Three-dimensional (3-D) shapes and volume of a cuboid

Cuboid /ˈkyo͞oboid/

Volume /ˈvälyəm,ˈvälˌyo͞om/

Pyramid /ˈpirəˌmid/

Sphere /sfir/

Liter /ˈlēdər/

39

Chapter 12: Statistics and Probability

Bar Chart /bär CHärt/

Multiple Bar chart /ˈməltəpəl bär CHärt /

Probability /ˌpräbəˈbilədē/

40

Glossary Whole Number - a number without fractions; an integer.

Hundred – the number equivalent to the product of ten and ten; ten more than ninety; 100.

Number Pattern- A list of numbers that follow a certain sequence or pattern.

Word Problems - a mathematics exercise presented in the form of a hypothetical situation that requires an equation to be solved.

Fraction- a numerical quantity that is not a whole number (e.g., 1/2, 0.5).

Equivalent fraction - are different fractions that name the same number.

Simplest Form- the numerator and denominator of a fraction cannot be any smaller, while still being whole numbers. Example: 2/4 can be simplified to 1/2.

Numerator - the number above the line in a common fraction showing how many of the parts indicated by the denominator are taken, for example, 2 in 2/3.

Greater than – Bigger. The symbol > means greater than.

Ascending order – numbers that are arranged from the smallest to the largest number.

Proper fraction - a fraction that is less than one, with the numerator less than the denominator.

Improper Fraction – is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number).

Addition - the process or skill of calculating the total of two or more numbers or amounts.

Subtraction – he process or skill of taking one number or amount away from another.

Multiplication – the process or skill of multiplying.

Division – the process or skill of dividing one number by another.

Reciprocal – of a fraction is obtained by interchanging the numerator and the denominator, i.e. by inverting the fraction.

41

Decimal – is a number with a decimal point in it, like these: 1.5, 2.6 and 3.14.

Place value – In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right.

Expanded form- When we write the number 521, what that number really means is that we have the total of 500 + 20 + 1. We've expanded the number to show the value of each of its digits.

Greater than – Bigger. The symbol > means greater than.

Less than – Smaller. The symbol means less than.

Sum – the total amount resulting from the addition of two or more numbers, amounts, or items.

Plus – A mathematical symbol used to represent the notion of positive as well as the operation of addition.

Difference- The result of subtracting one number from another.

Minus – A mathematical symbol used to represent the notion of negative as well as the operations of subtraction.

Length – the extent of something, especially as a unit of measurement, in particular.

Product – is the result of multiplying, or an expression that identifies factors to be multiplied.

Times – A mathematical operation performed on a pair of numbers in order to derive a third number called a product.

Bracket - are symbols, such as parentheses, that are most often used to create groups or clarify the order that operations are to be done in an algebraic expression.

Dividend - a number to be divided by another number.

Divisor - a number that divides into another without a remainder.

Percent - the rate, number, or amount in each hundred; percentage.

Discount – deduct an amount from (the usual price of something).

Profit- a financial gain, especially the difference between the amount earned and the amount spent in buying, operating, or producing something.

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Loss – occurs when an item is sold for less than it cost.

Angles - the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

Acute Angles – refers to an angle less than 90°, or to a shape involving angles less than 90°.

Protractor – an instrument for measuring angles, typically in the form of a flat semicircle marked with degrees along the curved edge.

Straight Angle – an angle of 180°.

Parallel lines – are two lines that are always the same distance apart and never meet.

Set Square - or triangle is an object used in engineering and technical drawing, with the aim of providing a straightedge at a right angle or other particular planar angle to a baseline.

Quadrilaterals- is a polygon with four edges (or sides) and four vertices or corners.

Square - a plane figure with four equal straight sides and four right angles.

Rectangle- a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Rhombus – a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

Parallelogram – a four-sided plane rectilinear figure with opposite sides parallel.

Trapezium – a quadrilateral with no sides parallel.

Kite - a quadrilateral figure having two pairs of equal adjacent sides, symmetrical only about its diagonals.

Line Segment - is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

Triangle – a plane figure with three straight sides and three angles.

Isosceles Triangle – a triangle that has two sides of equal length and two equal angles.

Vertex – common endpoint of two or more rays or line segments.

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Height – vertical distance from the top of an object or figure to its base

Protractor – is a tool used to measure angles and triangles.

Interior Angle – any of the four angles formed inside two straight lines when these lines are intersected by a third straight line.

Perimeter – of a figure is the total distance around the edge of the figure.

Area - of a flat, or plane figure is the number of unit squares that can be contained within it.

Compass – is a technical drawing instrument that can be used for inscribing circles or arcs and use in drawing triangles.

Circle – is the locus of all points equidistant from a central point.

Radius– of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

Pyramid – a polyhedron of which one face is a polygon of any number of sides, and the other faces are triangles with a common vertex.

Sphere – a round solid figure, or its surface, with every point on its surface equidistant from its center.

Cuboid – a solid that has six rectangular faces at right angles to each other.

Liter – a metric unit of capacity, formerly defined as the volume of 1 kilogram of water under standard conditions, now equal to 1,000 cubic centimeters.

Volume – is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid.

Bar Chart – another term for bar graph.

Multiple Bar chart – a bar chart in which multiple data sets are represented by drawing the bars side by side in a cluster.

Probability – the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

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