Mathematical Visual Tools & Activities

Effective teaching and deep learning require student engagement with content both inside& outside the classroom. Our ZSL platform aims to share effective, evidence-based practices instructors can use to facilitate meaningful learning for students of maths. The key components of  our  Virtual platform should be online delivery, active participation, and relevant, engaging content

Mathematics Demo Lab

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Mathematics Syllabus

Real Numbers Activities
1.1 Introduction
1.2 Euclid’s Division Lemma
1.3 The Fundamental Theorem of Arithmetic
1.4 Revisiting Irrational Numbers
1.5 Revisiting Rational Numbers and Their Decimal Expansions
Polynomials Activities
2.1 Introduction
2.2 Geometrical Meaning of the Zeroes of a Polynomial
2.3 Relationship between Zeroes and Coefficients of a Polynomial
2.4 Division Algorithm for Polynomials
Pair of Linear Equations in Two Variables Activities
3.2 Pair of Linear Equations in Two Variables
3.3 Graphical Method of Solution of a Pair of Linear Equations
Quadratic Equations Activities
4.1 Introduction
4.2 Quadratic Equations
4.3 Solution of a Quadratic Equation by Factorisation
4.4 Solution of a Quadratic Equation by Completing the Square
Arithmetic Progressions Activities
5.2 Arithmetic Progressions
5.3 nth Term of an AP
Triangles Activities
6.2 Similar Figures
6.3 Similarity of Triangles
6.4 Criteria for Similarity of Triangles
Coordinate Geometry Activities
7.1 Introduction
7.2 Distance Formula
7.3 Area of a Triangle
Introduction To Trigonometry Activities
8.2 Trigonometric Ratios
8.3 Trigonometric Ratios of Some Specific Angles
8.4 Trigonometric Ratios of Complementary Angles
8.5 Trigonometric Identities
Some Applications of Trigonometry Activities
9.1 Introduction
9.2 Heights and Distances
Cricles Activities
10.1 Introduction
10.2 Tangent to a Circle
10.3 Number of Tangents from a Point on a Circle
Constructions Activities
11.2 Division of a Line Segment
11.3 Construction of Tangents to a Circle

Areas Related To Circles
12.2 Perimeter and Area of a Circle a Review
Surface Areas and Volumes Activities
13.1 Introduction
13.2 Surface Area of a Combination of Solids
13.3 Volume of a Combination of Solid
13.4 Conversion of Solid from One Shape to Another
Statistics Activities
14.2 Mean of Grouped Data
14.3 Mode of Grouped Data
14.4 Median of Grouped Data
14.5 Graphical Representation of Cumulative Frequency Distribution
Probability Activities
15.1 Introduction
15.2 Probability — A Theoretical Approach

Number systems
1.2 Irrational Numbers
1.3 Real Numbers and their Decimal Expansions
1.4 Representing Real Numbers on the Number Line
1.5 Operations on Real Numbers
1.6 Laws of Exponents for Real Numbers
2.2 Polynomials in One Variable
2.3 Zeroes of a Polynomial
2.4 Remainder Theorem
2.5 Factorisation of Polynomials
2.6 Algebraic Identities
Coordinate Geometry
3.2 Cartesian System
3.3 Plotting a Point in the Plane if its Coordinates are Given
Linear Equations in Two Variables
4.2 Linear Equations
4.3 Solution of a Linear Equation
4.4 Graph of a Linear Equation in Two Variables
Introduction to Euclid’s Geometry
5.2 Euclid’s Definitions, Axioms and Postulates
5.3 Equivalent Versions of Euclid’s Fifth Postulate
Lines and Angles
6.2 Basic Terms and Definitions
6.3 Intersecting Lines and Non-intersecting Lines
6.4 Pairs of Angles
6.5 Parallel Lines and a Transversal
6.6 Lines Parallel to the same Line
6.7 Angle Sum Property of a Triangle
7.2 Congruence of Triangles
7.3 Criteria for Congruence of Triangles
7.4 Some Properties of a Triangle
7.5 Some More Criteria for Congruence of Triangles
7.6 Inequalities in a Triangle
8.2 Angle Sum Property of a Quadrilateral
8.3 Types of Quadrilaterals
8.4 Properties of a Parallelogram
8.5 Another Condition for a Quadrilateral to be a Parallelogram
8.6 The Mid-point Theorem
Areas of Parallelograms and Triangles
9.2 Figures on the same Base and Between the same Parallels
9.3 Parallelograms on the same Base and between the same Parallels
9.4 Triangles on the same Base and between the same Parallels
10.2 Circles and its Related Terms : A Review
10.3 Angle Subtended by a Chord at a Point
10.4 Perpendicular from the Centre to a Chord
10.5 Circle through Three Points
10.6 Equal Chords and their Distances from the Centre
10.7 Angle Subtended by an Arc of a Circle
10.8 Cyclic Quadrilaterals
11.2 Basic Constructions
11.3 Some Constructions of Triangles
Heron’s Formula
12.2 Area of a Triangle – by Heron’s Formula
12.3 Application of Heron’s Formula in finding Areas of Quadrilaterals
Surface Areas and Volumes
13.2 Surface Area of a Cuboid and a Cube
13.3 Surface Area of a Right Circular Cylinder
13.4 Surface Area of a Right Circular Cone
13.5 Surface Area of a Sphere
13.6 Volume of a Cuboid
13.7 Volume of a Cylinder
13.8 Volume of a Right Circular Cone
13.9 Volume of a Sphere
14.2 Collection of Data
14.3 Presentation of Data
14.4 Graphical Representation of Data
14.5 Measures of Central Tendency
15.2 Probability – an Experimental Approach

Rational Numbers
1.2 Properties of Rational Numbers
1.3 Representation of Rational Numbers on the Number Line
1.4 Rational Numbers between Two Rational Numbers
Linear Equations in One Variable
2.2 Solving Equations which have Linear Expressions
2.3 Some Applications
2.4 Solving Equations having the Variable on both Sides
2.5 Some More Applications
2.6 Reducing Equations to Simpler Form
2.7 Equations Reducible to the Linear Form
Understanding Quadrilaterals
3.2 Polygons
3.3 Sum of the Measures of the Exterior Angles of a Polygon
3.4 Kinds of Quadrilaterals
3.5 Some Special Parallelograms
Practical Geometry
4.2 Constructing a Quadrilateral
4.3 Some Special Cases
Data Handling
5.2 Organising Data
5.3 Grouping Data
5.4 Circle Graph or Pie Chart
5.5 Chance and Probability
Squares and Square Roots
6.2 Properties of Square Numbers
6.3 Some More Interesting Patterns
6.4 Finding the Square of a Number
6.5 Square Roots
6.6 Square Roots of Decimals
6.7 Estimating Square Root
Cubes and Cube Roots
7.2 Cubes
7.3 Cube Roots
Comparing Quantities
8.2 Finding the Increase or Decrease Percent
8.3 Finding Discounts
8.4 Prices Related to Buying and Selling (Profit and Loss)
8.5 Sales Tax/Value Added Tax/Goods and Services Tax
8.6 Compound Interest
8.7 Deducing a Formula for Compound Interest
8.8 Rate Compounded Annually or Half Yearly (Semi Annually)
8.9 Applications of Compound Interest Formula
Algebraic Expressions and Identities
9.2 Algebraic Expressions and Identities
9.3 Monomials, Binomials and Polynomials
9.4 Like and Unlike Terms
9.5 Addition and Subtraction of Algebraic Expressions
9.6 Multiplication of Algebraic Expressions: Introduction
9.7 Multiplying a Monomial by a Monomial
9.8 Multiplying a Monomial by a Polynomial
9.9 Multiplying a Polynomial by a Polynomial
9.10 What is an Identity?
9.11 Standard Identities
Visualising Solid Shapes
10.2 Views of 3D-Shapes
10.3 Mapping Space Around Us
10.4 Faces, Edges and Vertices
11.2 Let us Recall
11.3 Area of Trapezium
11.4 Area of a General Quadrilateral
11.5 Area of a Polygon
11.6 Solid Shapes
11.7 Surface Area of Cube, Cuboid and Cylinder
11.8 Volume of Cube, Cuboid and Cylinder
11.9 Volume and Capacity
Exponents and Powers
12.2 Powers with Negative Exponents
12.3 Laws of Exponents
Direct and Inverse Proportions
13.2 Direct Proportion
13.3 Inverse Proportion
14.2 What is Factorisation?
14.3 Division of Algebraic Expressions
14.4 Division of Algebraic Expressions Continued
14.5 Can you Find the Error?
Introduction to Graphs
15.1 Introduction
15.2 Linear Graphs
15.3 Some Applications

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