Math

‘’Mathematics Is the science which uses easy words for hard ideas’’ Edward Kanser. An information- and technology-based society requires individuals, who are able to think critically about complex issues, analyze and adapt to new situations, solve problems of various kinds and communicate their thinking effectively. The study of mathematics equips students with knowledge, skills and […]

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‘’Mathematics Is the science which uses easy words for hard ideas’’

Edward Kanser.

An information- and technology-based society requires individuals, who are

able to think critically about complex issues, analyze and adapt to new

situations, solve problems of various kinds and communicate their thinking

effectively. The study of mathematics equips students with knowledge, skills

and habits of mind that are essential for successful and rewarding participation

in such a society. The more the technology is developed the greater the level of

mathematical skill is required.

The Whole mathematics course is comprised of the following strands

  • Number sense, properties, and operations.
  • Geometry
  • Data analysis, statistics, and probability.
  • Algebra and functions.

In Numbers and Operation students will understand, Identify different types of set with notations. Identify and compare integers, rational and irrational numbers. Apply basic operations on integers and rational numbers and verify commutative, associative and distributive properties. Find HCF and LCM of two or more numbers using division and prime factorization. Solve problems on ratio, proportion, profit, loss, taxes, insurance and money exchange.

In Algebra students will understand, identify algebraic expressions, apply four basic operations on polynomials and solve linear equations having one variable.

In Geometry student will apply appropriate formulas to find area and volume of circular regions, Draw and subdivide a line segment and an angle and, apply properties of lines, angles and triangles to develop arguments about their geometric relationships. Find unknown angles of different shapes. Etc.

In Information Handling student will collect and organize data, distinguish between group and un-group data, read, display and interpret bar and pie graphs.

In Reasoning and Logical thinking student will find different ways of approaching a problem to develop logical thinking and explain their reasoning, solve problems using mathematical relationships and present results in an organized way and, construct and communicate convincing arguments for geometric situations.

Teaching Strategies:

The evolution of technology has impacted every aspect of our lives from banking to the way that we communicate with each other. Technology has become an integral part of sustaining society, and its infusion with education is therefore inevitable. Technology not only provides students with access to countless online resources but also aids them in the learning process. Considering the needs and demands of the 21st century this course has been developed with the following various advanced technologies:

  • Glass board video
  • Live-action
  • Demonstration

This course has been designed with the help of various activities which includes the following categories.

Engaging Activities:

This course has been designed with the help of various activities, quizzes, and assignments. Following are the activities that are used in this unit:

  • Drag and Drop
  • Multiple choice questions.
  • Puzzles (word and crossword)
  • Fill in the blanks
  •  Matching
  • True/False
  • Short answer
  • Easy type answer
  • Games

Unit 01: Sets

1
Topic 1: Representation Of Sets
2
Representation Of Sets: Choose the Correct Answers
5 questions
3
Representation Of Sets: Drag And Drop
1 question
4
Representation Of Sets: Worksheet
5
Representation Of Sets: Worksheet Solution
6
Topic 2: Subsets and Supersets
7
Subsets and Supersets: Fill in the Blanks
5 questions
8
Subsets and Supersets: True Or False
5 questions
9
Subsets and Supersets: Choose the Correct Answers
5 questions
10
Subsets and Supersets: Worksheet
11
Subsets and Supersets: Worksheet Solution
12
Topic 3: Types of Subsets (Proper and Improper)
13
Types of Subsets (Proper and Improper): True Or False
5 questions
14
Types of Subsets (Proper and Improper): Worksheet
15
Types of Subsets (Proper and Improper): Worksheet Solution
16
Topic 4: Union of two or more than two sets
17
Union of two or more than two sets: True Or False
4 questions
18
Union of two or more than two sets: Worksheet
19
Union of two or more than two sets: Worksheet Solution
20
Topic 5: Intersection of Two or more sets
21
Intersection of Two or more sets: True Or False
5 questions
22
Intersection of Two or more sets: Worksheet
23
Intersection of Two or more sets: Worksheet Solution
24
Topic 6: Difference of two sets
25
Difference of two sets: Worksheet
26
Difference of two sets: Worksheet Solution
27
Topic 7: Complement of Set
28
Complement of Set: Worksheet
29
Complement of Set: Worksheet Solution
30
Topic 8: Disjoint ,Universal and Overlapping Set
31
Disjoint ,Universal and Overlapping Set: Worksheet
32
Disjoint ,Universal and Overlapping Set: Worksheet Solution
33
Topic 9: Equal and Equivalent Set
34
Equal and Equivalent Set: True Or False
5 questions
35
Equal and Equivalent Set: Fill in the Blanks
10 questions
36
Equal and Equivalent Set: Worksheet
37
Equal and Equivalent Set: Worksheet Solution
38
Topic 10: Commutative property of Union and Intersection of sets
39
Commutative property of Union and Intersection of sets: Worksheet
40
Commutative property of Union and Intersection of sets: Worksheet Solution
41
Topic 11: Associative property of Union and Intersection of set
42
Associative property of Union and Intersection of set: Worksheet
43
Associative property of Union and Intersection of set: Worksheet Solution
44
Topic 12: Properties involving Difference of sets
45
Properties involving Difference of sets: Worksheet
46
Properties involving Difference of sets: Worksheet Solution
47
Topic 13: Properties involving Complement of set
48
Properties involving Complement of set: Fill in the Blanks
4 questions
49
Properties involving Complement of set: Worksheet
50
Properties involving Complement of set: Worksheet Solution

Unit 02: Rational Numbers

1
Topic 1: Define Rational Numbers
2
Define Rational Numbers: True Or False
6 questions
3
Define Rational Numbers: Fill in the Blanks
7 questions
4
Define Rational Numbers: Worksheet
5
Define Rational Numbers: Worksheet Solution
6
Topic 2: Representation of Rational Numbers on Number Line
7
Representation of Rational Numbers on Number Line: Worksheet
8
Representation of Rational Numbers on Number Line: Worksheet Solution
9
Topic 3: Additive Inverse, Multiplicative Inverse and Reciprocal
10
Additive Inverse, Multiplicative Inverse and Reciprocal: Fill in the Blanks
5 questions
11
Additive Inverse, Multiplicative Inverse and Reciprocal: Worksheet
12
Additive Inverse, Multiplicative Inverse and Reciprocal: Worksheet Solution
13
Topic 4: Addition of Rational Numbers
14
Addition of Rational Numbers: Worksheet
15
Addition of Rational Numbers: Worksheet Solution
16
Topic 5: Subtraction of Rational Numbers
17
Subtraction of Rational Numbers: Worksheet
18
Subtraction of Rational Numbers: Worksheet Solution
19
Topic 6: Multiplication of Rational Numbers
20
Multiplication of Rational Numbers: Worksheet
21
Multiplication of Rational Numbers: Worksheet Solution
22
Topic 7: Division Of Rational Numbers
23
Division Of Rational Numbers: Worksheet
24
Division Of Rational Numbers: Worksheet Solution
25
Topic 8: Compare two Rational Numbers
26
Compare two Rational Numbers: Worksheet
27
Compare two Rational Numbers: Worksheet Solution
28
Topic 9: Arrange Rational Numbers in Ascending and Descending orders
29
Arrange Rational Numbers in Ascending and Descending orders: Worksheet
30
Arrange Rational Numbers in Ascending and Descending orders: Worksheet Solution
31
Topic 10: Verify Associative property of Rational Numbers
32
Verify Associative property of Rational Numbers: Worksheet
33
Verify Associative property of Rational Numbers: Worksheet Solution
34
Topic 11: Commutative property of Rational numbers
35
Commutative property of Rational numbers: Worksheet
36
Commutative property of Rational numbers: Worksheet Solution
37
Topic 12: Distributive property of Rational Numbers
38
Distributive property of Rational Numbers: Worksheet
39
Distributive property of Rational Numbers: Worksheet Solution

Unit 03: Squares and Square Root

1
Topic 1: Define Squares
2
Define Squares: Choose the Correct Answers
5 questions
3
Define Squares: Worksheet
4
Define Squares: Worksheet Solution
5
Topic 2: Properties Of Perfect Square
6
Properties Of Perfect Square: Fill in the Blanks
5 questions
7
Properties Of Perfect Square: Worksheet
8
Properties Of Perfect Square: Worksheet Solution
9
Topic 3: Square Root
10
Square Root: Worksheet
11
Square Root: Worksheet Solution
12
Topic 4: Square Root By Factorization Method
13
Square Root By Factorization Method: Worksheet
14
Square Root By Factorization Method: Worksheet Solution

Unit 04: Proportions

1
Topic 1: Explain Proportion As Equality Of Two Ratios
2
Explain Proportion As Equality Of Two Ratios: Worksheet
3
Explain Proportion As Equality Of Two Ratios: Worksheet Solution
4
Explain Proportion As Equality Of Two Ratios: Reading Resource
5
Topic 2: Direct Proportion
6
Direct Proportion: Worksheet
7
Direct Proportion: Worksheet Solution
8
Topic 3: Inverse Proportion
9
Inverse Proportion: Worksheet
10
Inverse Proportion: Worksheet Solution

Unit 05: Financial Mathematics

1
Topic 1: Profit
2
Profit: Worksheet
3
Profit: Worksheet Solution
4
Topic 2: Loss
5
Loss: Choose the Correct Answers
5 questions
6
Loss: Worksheet
7
Loss: Worksheet Solution
8
Profit and Loss: Reading Resource
9
Topic 3: Discount
10
Discount: Drag and Drop
1 question
11
Discount: Worksheet
12
Discount: Worksheet Solution
13
Discount: Reading Resource
14
Topic 4: Tax
15
Tax: True Or False
7 questions
16
Tax: Worksheet
17
Tax: Worksheet Solution
18
Tax: Reading Resource
19
Topic 5: Calculate Tax
20
Calculate Tax: Worksheet
21
Calculate Tax: Worksheet Solution
22
Topic 6: Calculate Commission
23
Calculate Commission: Worksheet
24
Calculate Commission: Worksheet Solution
25
Calculate Commission: Reading Resource
26
Topic 7: Zakat
27
Zakat: Choose the Correct Answers
5 questions
28
Zakat: Worksheet
29
zakat: Worksheet Solution
30
Topic 8: Ushr
31
Ushr: Choose the Correct Answers
5 questions
32
Ushr: Worksheet
33
Ushr: Worksheet Solution

Unit 06: Algebra

1
Algebra: Introductory Video
2
Topic 1: Algebraic Expressions
3
Algebraic Expressions: Choose the Correct Answers
8 questions
4
Algebraic Expressions: Worksheet
5
Algebraic Expressions: Worksheet Solution
6
Topic 2: Addition and Subtraction of Polynomials
7
Addition and Subtraction of Polynomials: Worksheet
8
Addition and Subtraction of Polynomials: Worksheet Solution
9
Topic 3: Multiplication with Polynomials
10
Multiplication with Polynomials: Worksheet
11
Multiplication with Polynomials: Worksheet Solution
12
Topic 4: Divide the polynomials
13
Divide the polynomials: Drag and Drop
1 question
14
Divide the polynomials: Worksheet
15
Divide the polynomials: Worksheet Solution

Unit 07: Linear Equations

1
Topic 1: Introduction and solution of Linear Equation in One Variable
2
Introduction and solution of Linear Equation in One Variable: Worksheet
3
Introduction and solution of Linear Equation in One Variable: Worksheet Solution
4
Topic 2: Cartesian Coordinate System
5
Cartesian Coordinate System: Worksheet
6
Cartesian Coordinate System: Worksheet Solution
7
Topic 3: Plot the Graph
8
Plot the Graph: Worksheet
9
Plot the Graph: Worksheet Solution
10
Topic 4: Plot the Graph Of Linear Equation in 2 Variables
11
Plot the Graph Of Linear Equation in 2 Variables: Worksheet
12
Plot the Graph Of Linear Equation in 2 Variables: Worksheet Solution
13
Topic 5: Find Value Of X And Y From Graph
14
Find Value Of X And Y From Graph: Worksheet
15
Find Value Of X And Y From Graph: Worksheet Solution

Unit 08: Geometry

1
Topic 1: Quadrilaterals ( Square, Rectangle and Parallelogram)
2
Quadrilaterals ( Square, Rectangle and Parallelogram): Worksheet
3
Quadrilaterals ( Square, Rectangle and Parallelogram): Worksheet Solution
4
Topic 2: Quadrilaterals ( Rhombus, Trapezium, Kite)
5
Quadrilaterals ( Rhombus, Trapezium, Kite): Worksheet
6
Quadrilaterals ( Rhombus, Trapezium, Kite): Worksheet Solution
7
Quadrilaterals: Reading Resource
8
Topic 3: Polygons
9
Polygons: Choose the Correct Answers
6 questions
10
Polygons: Worksheet
11
Polygons: Worksheet Solution
12
Topic 4 : Interior and Exterior Angles Of a Polygon
13
Interior and Exterior Angles Of a Polygon: Worksheet
14
Interior and Exterior Angles Of a Polygon: Worksheet Solution
15
Topic 5: Circle
16
Circle: Worksheet
17
Circle: Worksheet Solution

Unit 09: Practical Geometry

1
Topic 1: Construct Acute, right and obtuse angled Triangle
2
Construct Acute, right and obtuse angled Triangle: Worksheet
3
Construct Acute, right and obtuse angled Triangle: Worksheet Solution
4
Topic 2: Construct Equilateral and Isosceles Triangle
5
Construct Equilateral and Isosceles Triangle: Worksheet
6
Construct Equilateral and Isosceles Triangle: Worksheet Solution
7
Topic 3: Construct Scalene Triangle
8
Construct Scalene Triangle: Worksheet
9
Construct Scalene Triangle: Worksheet Solution

Unit10: Mensuration

1
Topic 1: Circumference And Area Of a Circle
2
Circumference And Area Of a Circle: Worksheet
3
Circumference And Area Of a Circle: Worksheet Solution
4
Circumference And Area Of a Circle: Reading Resource
5
Topic 2: Area Of a Circular Region
6
Area Of a Circular Region: Worksheet
7
Area Of a Circular Region: Worksheet Solution
8
Topic 3: Surface Area of a Cylinder
9
Surface Area of a Cylinder: Fill in the Blanks
5 questions
10
Surface Area of a Cylinder: Worksheet
11
Surface Area of a Cylinder: Worksheet Solution
12
Topic 4: Volume Of a Cylinder
13
Volume Of a Cylinder: Worksheet
14
Volume Of a Cylinder: Worksheet Solution
15
Topic 5: Surface Area of a Rectangular Prism
16
Surface Area of a Rectangular Prism: Worksheet
17
Surface Area of a Rectangular Prism: Worksheet Solution
18
Surface Area of a Rectangular Prism: Reading Resource
19
Topic 6: Volume of a rectangular Prism
20
Volume of a rectangular Prism: Worksheet
21
Volume of a rectangular Prism: Worksheet Solution

Unit 11: Transformation

1
Topic 1: Translation
2
Translation: Worksheet
3
Translation: Worksheet Solution
4
Translation: Reading Resource

Unit 12: Data Handling

1
Topic 1: Frequency Distribution
2
Frequency Distribution: Worksheet
3
Frequency Distribution: Worksheet Solution
4
Topic 2: Line Graph
5
Line Graph: Worksheet
6
Line Graph: Worksheet Solution
7
Topic 3: Measure Central Tendency
8
Measure Central Tendency: Fill in the Blanks
5 questions
9
Measure Central Tendency: Worksheet
10
Measure Central Tendency: Worksheet Solution

Unit 13: Probability

1
Topic 1: Introduction to Probability
2
Introduction to Probability: Worksheet
3
Introduction to Probability: Worksheet Solution
4
Topic 2: Certain and Impossible Events
5
Certain and Impossible Events: Worksheet
6
Certain and Impossible Events: Worksheet Solution
7
Topic 3: Probability of a single Event
8
Probability of a single Event: Choose the Correct Answers
5 questions
9
Probability of a single Event: Worksheet
10
Probability of a single Event: Worksheet Solution
11
Topic 4: The Complement Of an Event
12
The Complement Of an Event: Worksheet
13
The Complement Of an Event: Worksheet Solution
14
Topic 5: Real Life Problems
15
Real Life Problems: Worksheet
16
Real Life Problems: Worksheet Solution
17
Project 1: Worksheet
18
Project 1: Worksheet Solution
19
Project 2: Worksheet

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