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
Sets: Introductory Video
2
Topic 1: Introduction to Sets
3
Introduction to Sets: Choose the Correct Answers
5 questions
4
Introduction to Sets: True Or False
5 questions
5
Introduction to Sets: Worksheet
6
Introduction to Sets: Worksheet Solution
7
Topic 2: Representation Of Sets
8
Representation Of Sets: Drag and Drop
1 question
9
Representation Of Sets: Drag and Drop
1 question
10
Representation Of Sets: Choose the Correct Answers
5 questions
11
Representation Of Sets: Worksheet
12
Representation Of Sets: Worksheet Solution
13
Topic 3: Types Of Sets (Finite, Infinite and Empty Sets)
14
Types Of Sets (Finite, Infinite and Empty Sets): Fill in the Blanks
5 questions
15
Types Of Sets (Finite, Infinite and Empty Sets): Choose the Correct Answers
5 questions
16
Types Of Sets (Finite, Infinite and Empty Sets): Fill in the Blanks
5 questions
17
Types Of Sets (Finite, Infinite and Empty Sets): Worksheet
18
Types Of Sets (Finite, Infinite and Empty Sets): Worksheet Solution
19
Topic 4: Types of sets (Singleton, Equal and Equivalent sets)
20
Types of sets (Singleton, Equal and Equivalent sets): True Or False
5 questions
21
Types of sets (Singleton, Equal and Equivalent sets): Fill in the Blanks
10 questions
22
Types of sets (Singleton, Equal and Equivalent sets): Worksheet
23
Types of sets (Singleton, Equal and Equivalent sets): Worksheet Solution
24
Topic 5: Subset Or Superset
25
Subset Or Superset: Fill in the Blanks
5 questions
26
Subset Or Superset: Fill in the Blanks
5 questions
27
Subset Or Superset: True Or False
5 questions
28
Subset Or Superset: Choose the Correct Answers
5 questions
29
Subset Or Superset: Worksheet
30
Subset Or Superset: Worksheet Solution
31
Topic 6: Types of Subsets (Proper Subset and Improper Subset)
32
Types of Subsets (Proper Subset and Improper Subset): True Or False
5 questions
33
Types of Subsets (Proper Subset and Improper Subset): Worksheet
34
Types of Subsets (Proper Subset and Improper Subset): Worksheet Solution

Unit 02: Integers

1
Integers: Introductory Video
2
Topic 1: Integers Identification
3
Integers Identification: Identify Odd Or Even Number
5 questions
4
Integers Identification: Choose the Correct Answers
5 questions
5
Integers Identification: Fill in the Blanks
5 questions
6
Integers Identification: True Or False
5 questions
7
Integers Identification: Place Values
5 questions
8
Topic 2: Order Of Integers
9
Order Of Integers: Write the Missing Symbols
5 questions
10
Order Of Integers: Worksheet
11
Order Of Integers: Worksheet Solution
12
Topic 3: Addition Of Integers
13
Addition Of Integers: True Or False
5 questions
14
Addition Of Integers: Solve
5 questions
15
Addition Of Integers: Drag and Drop
16
Addition Of Integers: Add And Subtract
5 questions
17
Addition Of Integers: Worksheet
18
Addition Of Integers: Worksheet Solution
19
Topic 4: Laws Under Addition
20
Laws Under Addition: Drag and Drop
1 question
21
Laws Under Addition: Write the Commutative Or Associative
5 questions
22
Laws Under Addition: True Or False
5 questions
23
Laws Under Addition: Fill in the Blanks
5 questions
24
Laws Under Addition: Worksheet
25
Laws Under Addition: Worksheet Solution
26
Topic 5: Subtraction Of Integers
27
Subtraction Of Integers: True Or False
5 questions
28
Subtraction Of Integers: Solve
5 questions
29
Subtraction Of Integers: Drag and Drop
1 question
30
Subtraction Of Integers: Solve
5 questions
31
Subtraction Of Integers: Worksheet
32
Subtraction Of Integers: Worksheet Solution
33
Topic 6: Multiplication and Division Of Integers
34
Multiplication and Division Of Integers: True Or False
5 questions
35
Multiplication and Division Of Integers: Choose the Correct Answers
5 questions
36
Multiplication and Division Of Integers: Worksheet
37
Multiplication and Division Of Integers: Worksheet Solution
38
Topic 7: Laws Under Multiplication
39
Laws Under Multiplication: Drag and Drop
1 question
40
Laws Under Multiplication: Write the Commutative Or Associative
5 questions
41
Laws Under Multiplication: True Or False
5 questions
42
Laws Under Multiplication: Fill in the Blanks
5 questions
43
Laws Under Multiplication: Worksheet
44
Laws Under Multiplication: Worksheet Solution
45
Topic 8: Simplification
46
Simplification: Solve
5 questions
47
Simplification: Drag and Drop
1 question
48
Simplification: True Or False
5 questions
49
Simplification: Fill in the Blanks
5 questions
50
Simplification: Worksheet
51
Simplification: Worksheet Solution

Unit 03: Factors and Multiples

1
Factors and Multiples: Introductory Video
2
Topic 1: Introduction to Factors and Multiples
3
Introduction to Factors and Multiples: Write Two Possible Factors Of 24
4 questions
4
Introduction to Factors and Multiples: Write All Possible Factors
5 questions
5
Introduction to Factors and Multiples: Write Multiples Of Each
5 questions
6
Introduction to Factors and Multiples: Identify Prime Or Composite
5 questions
7
Introduction to Factors and Multiples: True Or False
5 questions
8
Topic 2: Test for divisibility of 2, 3, 4, and 5
9
Test for divisibility of 2, 3, 4, and 5: True Or False
5 questions
10
Test for divisibility of 2, 3, 4, and 5: State whether the numbers are Divisible by 3 or not.
5 questions
11
Test for divisibility of 2, 3, 4, and 5: State that which numbers are exactly divisible by 5.
5 questions
12
Test for divisibility of 2, 3, 4, and 5: Test the divisibility rule for the following.
5 questions
13
Test for divisibility of 2, 3, 4, and 5: Choose the Correct Answers
5 questions
14
Topic 3: Test for divisibility of 6, 8, 9, and 10
15
Test for divisibility of 6, 8, 9, and 10: True Or False
5 questions
16
Test for divisibility of 6, 8, 9, and 10: Test which Numbers are divisible by 6
5 questions
17
Test for divisibility of 6, 8, 9, and 10: Test Following Numbers are divisible by 10 or not
5 questions
18
Test for divisibility of 6, 8, 9, and 10: Test the Divisibility Rule
5 questions
19
Test for divisibility of 6, 8, 9, and 10: Choose the Correct Answers
5 questions
20
Topic 4: Factorization
21
Factorization: Factors
5 questions
22
Factorization: Choose the Correct Answers
5 questions
23
Factorization: Worksheet
24
Factorization: Worksheet Solution
25
Topic 5: Highest Common Factor (H.C.F)
26
Highest Common Factor (H.C.F): Worksheet
27
Highest Common Factor (H.C.F): Worksheet Solution
28
Topic 6: Least Common Factor (L.C.M)
29
Least Common Factor (L.C.M): Write Multiples of the following numbers.
5 questions
30
Least Common Factor (L.C.M): Worksheet
31
Least Common Factor (L.C.M): Worksheet Solution
32
Topic 7: Application Of H.C.F and L.C.M
33
Application Of H.C.F and L.C.M: Find H.C.F
5 questions
34
Application Of H.C.F and L.C.M: Find L.C.M
5 questions
35
Application Of H.C.F and L.C.M: Choose the Correct Answers
5 questions
36
Application Of H.C.F and L.C.M: Worksheet
37
Application Of H.C.F and L.C.M: Worksheet Solution

Unit 04: Ratio and Rate

1
Topic 1: Introduction to Ratio
2
Introduction to Ratio: Fill in the Blanks
5 questions
3
Introduction to Ratio: Reduce the following into lowest equivalent form
5 questions
4
Introduction to Ratio: Worksheet
5
Introduction to Ratio: Worksheet Solution
6
Topic 2: Calculate and Simplify the Ratios
7
Calculate and Simplify the Ratios: Drag and Drop
1 question
8
Calculate and Simplify the Ratios: Find the ratio of the following and write in lowest form
5 questions
9
Calculate and Simplify the Ratios: Worksheet
10
Calculate and Simplify the Ratios: Worksheet Solution
11
Topic 3: Continued Ratio
12
Continued Ratio: Choose the Correct Answers
5 questions
13
Continued Ratio: Drag and Drop
1 question
14
Continued Ratio: Worksheet
15
Continued Ratio: Worksheet Solution
16
Topic 4: Rate
17
Rate: Fill in the Blanks
4 questions
18
Rate: Drag and Drop
1 question
19
Rate: Worksheet
20
Rate: Worksheet Solution

Unit 05: Financial Mathematics

1
Topic 1: Percentage
2
Percentage: Fill in the Blanks
5 questions
3
Percentage: Convert percent into lowest fraction form:
5 questions
4
Percentage: Convert decimal form into percentage
5 questions
5
Percentage: Drag and Drop
1 question
6
Percentage: Worksheet
7
Percentage: Worksheet Solution
8
Topic 2: Compare two Quantities by a percentage
9
Compare: Identify where to put greater or less than in the sentence
4 questions
10
Compare: Fill the missing blanks with “>” or “<” by using percentage:
5 questions
11
Compare two Quantities by a percentage: Worksheet
12
Compare two Quantities by a percentage: Worksheet Solution

Unit 06: Introduction to Algebra

1
Introduction to Algebra: Introductory Video
2
Topic 1: Algebra (Extension Of Arithmetic)
3
Algebra (Extension Of Arithmetic): Fill in the Blanks
5 questions
4
Algebra (Extension Of Arithmetic): True Or False
5 questions
5
Algebra (Extension Of Arithmetic): Drag and Drop
1 question
6
Algebra (Extension Of Arithmetic): Worksheet
7
Algebra (Extension Of Arithmetic): Worksheet Solution
8
Topic 2: Algebraic Expressions
9
Algebraic Expressions: Write the number of terms in the following expressions:
5 questions
10
Algebraic Expressions: Write the variable, constant and coefficient of each expression
5 questions
11
Algebraic Expressions: Drag and Drop
1 question
12
Algebraic Expressions: Worksheet
13
Algebraic Expressions: Worksheet Solution
14
Topic 3: Algebraic Expressions 2
15
Algebraic Expressions 2: Worksheet
16
Algebraic Expressions 2: Worksheet Solution
17
Topic 4: Algebraic Sentences
18
Algebraic Sentences: Choose the Correct Answers
5 questions
19
Algebraic Sentences: True Or False
5 questions
20
Algebraic Sentences: Drag and Drop
1 question
21
Algebraic Sentences: Worksheet
22
Algebraic Sentences: Worksheet Solution
23
Topic 5: Open Sentences
24
Open Sentences: Choose the Correct Answers
5 questions
25
Open Sentences: True Or False
5 questions
26
Open Sentences: Worksheet
27
Open Sentences: Worksheet Solution
28
Topic 6: Addition
29
Addition: Worksheet
30
Addition: Worksheet Solution
31
Topic 7: Subtraction
32
Subtraction: Worksheet
33
Subtraction: Worksheet Solution
34
Topic 8: Simplify
35
Simplify: Fill in the Blanks
5 questions
36
Simplify: Drag and Drop
1 question
37
Simplify: Worksheet
38
Simplify: Worksheet Solution
39
Topic 9: Simplify 2
40
Simplify 2: Drag and Drop
1 question
41
Simplify 2: Worksheet
42
Simplify 2: Worksheet Solution

Unit 07: Linear Equations

1
Linear Equations: Introductory Video
2
Topic 1: Linear Equations
3
Linear Equations: True Or False
5 questions
4
Linear Equations: Drag and Drop
1 question
5
Linear Equations: Construct Equation
5 questions
6
Linear Equations: Worksheet
7
Linear Equations: Worksheet Solution
8
Topic 2: Solutions Of Simple Linear Equations
9
Solutions Of Simple Linear Equations: Worksheet
10
Solutions Of Simple Linear Equations: Worksheet Solution

Unit 08: Geometry

1
Geometry: Introductory Video
2
Topic 1: Angles
3
Angles: Drag and Drop
1 question
4
Angles: Worksheet
5
Angles: Worksheet Solution
6
Topic 2: Parallel, Perpendicular and Transversal Lines
7
Parallel, Perpendicular and Transversal Lines: True Or False
5 questions
8
Parallel, Perpendicular and Transversal Lines: Choose the Correct Answers
5 questions
9
Parallel, Perpendicular and Transversal Lines: Worksheet
10
Parallel, Perpendicular and Transversal Lines: Worksheet Solution

Unit 09: Practical Geometry

1
Practical Geometry: Introductory Video
2
Topic 1: Construction Of Angles
3
Construction Of Angles: Worksheet
4
Construction Of Angles: Worksheet Solution
5
Topic 2: Construction Of Line Segment
6
Construction Of Line Segment: Fill in the Blanks
5 questions
7
Construction Of Line Segment: Worksheet
8
Construction Of Line Segment: Worksheet Solution

Unit 10: Mensuration

1
Mensuration: Introductory Video
2
Topic 1: Area of path of Rectangle and Square
3
Area of path of Rectangle and Square: True Or False
5 questions
4
Area of path of Rectangle and Square: Worksheet
5
Area of path of Rectangle and Square: Worksheet Solution
6
Topic 2: Area of Parallelogram, Triangle and Trapezium
7
Area of Parallelogram, Triangle and Trapezium: Worksheet
8
Area of Parallelogram, Triangle and Trapezium: Worksheet Solution
9
Topic 3: Volume and Surface Area
10
Volume and Surface Area: Fill in the Blanks
5 questions
11
Volume and Surface Area: Worksheet
12
Volume and Surface Area: Worksheet Solution

Unit 11: Transformations

1
Transformations: Introductory Video
2
Topic 1: Reflection
3
Reflection: Worksheet
4
Reflection: Worksheet Solution
5
Topic 2: Construction Of Reflection Line
6
Construction Of Reflection Line: Worksheet
7
Construction Of Reflection Line: Worksheet Solution

Unit 12: Data Handling

1
Data Handling: Introductory Video
2
Topic 1: Types Of Data
3
Types Of Data: Routine Survey
5 questions
4
Types Of Data: Choose the Correct Answers
5 questions
5
Types Of Data: Worksheet
6
Types Of Data: Worksheet Solution
7
Topic 2: Graphs
8
Graphs: Worksheet
9
Graphs: Worksheet Solution

Unit 13: Probability

1
Probability: Introductory Video
2
Topic 1: Probability 1
3
Probability 1: Fill in the Blanks
5 questions
4
Probability 1: Drag and Drop
1 question
5
Probability 1: Worksheet
6
Probability 1: Worksheet Solution
7
Topic 2: Probability 2
8
Probability 2: True Or False
5 questions
9
Probability 2: Worksheet
10
Probability 2: Worksheet Solution

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