Math Lab - EDUQODE

Course Content

Chapter 01 – Sets

A set is a list of objects in no particular order; they could be numbers, letters, or even words. A Venn diagram is a way of representing sets visually.

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Game | Sets Match Up

Operations on Sets

Game | Label the Venn Diagram

Operations on Sets through Venn Diagram

Game | Venn Diagram

Chapter 02 – Rational Numbers

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. In this chapter, we will learn to represent rational numbers on a number line and perform arithmetic operations.

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Rational Numbers

Game | Find the Match

Game | Rational vs. Irrational Numbers

Rational Number on Number Line

Game | Label Rational Number on Number Line

Operations on Rational Numbers

Chapter 03 – Decimals

Decimals are a set of numbers lying between integers on a number line. They are just another way to represent fractions in mathematics. In this chapter, we will learn about the conversion of decimals to rational numbers, the kinds of decimals, and absolute values.

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Conversion of Decimals to Rational Numbers

Game | Decimal Place Value

Game | Rational Number to Decimal

Terminating and Non-Terminating Decimals

Stimulation – Area Model Decimals

Approximate Value

Chapter 04 – Exponents

The exponent of a number says how many times to use that number in a multiplication. The laws of exponents simplify the multiplication and division operations and help to solve the problems easily. In this chapter, we are going to discuss the six important laws of exponents.

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Base, Exponent and Value

Game | Exponent Group Sort

Game | Exponent Balloon Pop

Laws of Exponent

Game | Exponent Maze Chase

Chapter 05 – Square Root of Positive Numbers

Square root, in mathematics, is a factor of a number that, when multiplied by itself, gives the original number. In this chapter, we will learn about what makes perfect squares and will find the roots of positive numbers by considering real-life scenarios.

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Perfect Squares

Game | Square and Roots Match Up

Chapter 06 – Direct and Inverse Variation

Variation means change. With direct variation, numbers change proportionately in the same direction, while with inverse variation, they change in opposite directions. In this chapter, we will earn how to solve direct and inverse variation problems, explore their definitions, and work examples to understand the equations and techniques for solving them. Also, we learn to find the continued ratio for two or more ratios.

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Continued Ratio

Direct Proportion

Stimulation – Proportion Playground

Inverse Proportion

Stimulation – Unit Rates

Game | Direct and Inverse Proportion

Time, Work, and Distance

Chapter 07 – Financial Arithmetic

Financial mathematics describes the application of mathematics and mathematical modeling to solve financial problems. In this chapter, we will learn about the concept of taxation, profit/markups, zakat & ushr, and how they relate to our daily life.

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Profit and Markup

Game | Profit & Loss Wordsearch

Chapter 08 – Algebraic Expressions

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The algebraic equations which are valid for all values of variables in them are called algebraic identities. In this chapter, we will learn to perform operations on polynomials and to factorize an algebraic equation by using identities.

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Algebraic Expressions

Game | Expression Match Up

Stimulation – Expression Exchange

Game | Polynomial Group Sort

Addition and Subtraction of Polynomials

Multiplication and Division of Polynomials

Stimulation – Area Model Algebra

Algebraic Identities

Factorization of Algebraic Expressions

Game | Find the Factor Match

Chapter 09 – Linear Equations

Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, and a and b are real numbers. In this chapter, we will learn the definition, type of solutions, and how to solve these equations with one variable and two variables using different methods along with examples.

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Game | Label the Equation

Linear Equations

Solution of Linear Equations

Game | Linear Magic Library

Stimulation – Equality Explorer

Game | Equation Match Up

Solving Equation with variables on both sides

Game | Detective X

Stimulation – Equality Explorer (Two Variables)

Solving Fractional Equations

Simulation – Balancing Equation

Chapter 10 – Fundamentals of Geometry

Geometry is the study of different types of shapes, figures, and sizes in Maths or real life. In geometry, we learn about different angles, transformations, and similarities in the figures. It is important to know and understand some basic concepts. We will learn about working in different numbers of dimensions, and about some of the most fundamental concepts in geometry, including points, lines, and planes.

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Properties of an Angle

Congruent and Similar Figures

Game | Congruent VS Similar

Congruent Triangles

Game | Sort by Congruency

Game | Pin On the Circle

Chapter 11 – Practical Geometry

The practical Geometry chapter will teach you about lines and to construct two-dimensional given different kinds of measurements. A quadrilateral is a closed two-dimensional shape that has four sides and four angles. Any four-sided closed shape such as square, rectangle, rhombus, parallelogram, trapezium, etc. And a closed two-dimensional shape that has 3 sides and 3 angles is known as a triangle.

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Divide a Line Segment

Divide a Line Segment in a Given Ratio

Game | Balloon Pop

Construction of a Triangle (Perimeters and Ratios Given)

Construction of an Equilateral Triangle

Construction of an Isosceles Triangle

Measures of a Triangle

Game | Quadrilaterals Anagram

Construct a Parallelogram (Two Adjacent Sides Given)

Construction of a Parallelogram (Adjacent Side and Diagonal Given)

Measures of a Quadrilateral

Chapter 12 – Circumference, Area and Volume

This topic comes under analytical geometry and the formulas for the volume and the surface area of the sphere were first discovered by Archimedes. In this chapter, we will learn about the area and volume of two-dimensional and three-dimensional shapes.

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Circumference and Area of a Circle

Game | Area of a Circle

Simulation – Surface Area

Surface Area of a Cylinder

Volume of a Cylinder

Game | Surface Area or Volume

Chapter 13 – Information Handling

Frequency distribution, in statistics, is a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times. And, a pie chart is a way of representing data in a circular graph. Pie slices of the chart show the relative size of the data. In this chapter, we will learn to construct the frequency distribution table, some new pie chart vocabulary, and learn to construct the pie chart to represent the data.

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Frequency Distribution

Game | Chart Labelling

Game | What Are Bars Telling?

Game | Pin on the Pie

Mathematics – VII

About Lesson

Math Lab Activity

– Speedy Steps

Objective:

– To understand the relationship between speed, distance, and time.
– To apply the formula for calculating time to solve a real-world scenario.
– To enhance mathematical skills and critical thinking.

In this activity, students will use a formula to calculate the time it takes for Ali to walk to school.

Materials Needed:

Paper and pencils
Calculator (optional)

Instructions:

1. Introduction to the Scenario:
“Ali walks to school at a speed of 4 km/h. The distance to the school is 2 km. How long will it take Ali to walk to school?”

2. Formula Explanation:
– The formula for calculating time: Time = Distance / Speed.
– This formula helps us find the time it takes to cover a certain distance at a given speed.

3. Calculations and Solving:
– Apply the formula to the scenario: Time = 2 km / 4 km/h.
– Calculations, and use the correct units, ensure that the unit of the final answer has to be (hours).

4. Individual Work:
– Work individually to calculate the time Ali takes to walk to school.
– Show your work step by step and double-check your calculations.

5. Reflection:
– Reflect on the insights and thoughts about the activity and how the formula for time can be applied to other scenarios involving speed, distance, and time.

– Explain their thought processes and the steps you took to arrive at your answers.

The goal of the activity is to understand the practical application of the formula for calculating time and how it can be used to solve real-world problems.

Ignite Your Mathematical Mind:

Let Your Logical Thinking Unleash to Explore the World of Wonders!

Measure or Estimate the distance from your home to school or from your home to your favorite place.
Using that distance, calculate the time it takes for you to walk from your home to school or from your home to your favorite place if you walk at a speed of 4 km/h.

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