### 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

### Scan QR Code Demo Lab in Mobile

### 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****Polynomials****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****Triangles****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****Quadrilaterals****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****Circles****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****Constructions****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****Statistics****14.2 Collection of Data****14.3 Presentation of Data****14.4 Graphical Representation of Data****14.5 Measures of Central Tendency****Probability****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****Mensuration****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****Factorisation****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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