Course Content
Chapter 01 – Sets
A set is a group of elements in brackets that are related to one another. In this chapter, you will learn about the differences and similarities between an equal set and an equivalent set, and describe the notion and types of sets.
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Chapter 03 – Factors and Multiples
Multiples and factors are basic mathematical concepts. Review these terms and how they are applied to real-world scenarios, and practice applying them to solve sample word problems. Learning how to divide can be a little challenging, but knowing some basic rules about dividing can help. In this chapter, you'll learn about the divisibility rules that apply to numbers.
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Chapter 04 – Integers
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. In this chapter, we'll learn about mathematical operations with integers using the operations of addition, subtraction, multiplication, and division. Discover the properties of integers and how those properties affect the solution to different types of math problems.
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Chapter 05 – Simplification
Simplifying math expression is an important part of helping students learn how to work and think algebraically. The order of operations in mathematics is the sequence in which a problem is solved. In this chapter, we'll explore the definition and examples of the order of operations in math, discover the steps involved, and learn the shortcut for remembering the steps defined by the acronym BODMAS and PEMDAS.
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Chapter 06 – Ratio and Proportions
Ratios allow us a way to mathematically compare two or more items, and proportions can help us find out even more information. In this chapter, we'll learn the definition of ratios and proportions, and understand how to calculate the ratio and proportion problems.
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Chapter 07 – Financial Arithmetic
Many values we come across regularly change frequently. In this chapter, we will look at examples when a quantity decreases in value, and how such decreases can be represented using percentages. A company may have a great product but if they are losing money, it will eventually go out of business. We will explore profit and loss from an economic perspective.
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Chapter 08 – Introduction to Algebra
To evaluate simple algebraic expressions, substitute a number for each variable and solve. In this chapter, we'll learn the steps for evaluating simple algebraic expressions, including rules for order of operations and parentheses, and tackle the practice problems.
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Chapter 10 – Geometry
Geometry is a sector of mathematics that analyzes shapes, lines, and surfaces. It is possible to construct different geometric shapes and patterns using lines and angles. In this chapter, we'll explore the definition of the basics of geometry: points, lines, and angles, geometric construction, the tools required for the job, and how to copy angles and line segments.
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Chapter 11 – Perimeter and Area
A perimeter is a measurement used to determine the distance of a path around the outer edge of a two-dimensional object. In this chapter, we'll discover the formula to calculate perimeter for various shapes and consider the usefulness of these equations through examples. Discover how to find the area of an irregular polygon. Explore formulas for the area of regular polygons, learn how to divide an irregular polygon into a series of regular polygons, and see how to find the area using those pieces.
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Chapter 12 – Three Dimensional Shapes
Geometric measurements can be taken for one-, two-, and three-dimensional shapes. In this chapter, we'll explore the most common formulas one would use to find the perimeter, area, surface area, and volume of three-dimensional figures.
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Chapter 13 – Information Handling
Data handling refers to the process of gathering, recording, and presenting information in a way that is helpful to others - for instance, in graphs or charts.
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Mathematics – VI
About Lesson

Math Lab Activity

– Make 10 chocolate-covered cornflake cakes.

 

You will need:

  • 10 Cake Cases,
  • Some Chocolate,
  • Some Cornflakes.

 

To work out how much chocolate and cornflakes you need see Ratio – Make Some Chocolate Crispies.

Put the chocolate in a bowl over simmering water. Ask an adult to help you with this. Stir the chocolate until melted. chocolate
crispies Take the melted chocolate from the heat. Add in the cornflakes and mix until the cornflakes are covered in chocolate.
Spoon the chocolate-covered cornflakes into cake cases and put them in the fridge for about one hour. They should be then ready to eat. cakes

 

Remember this is mathematics because you had to work out the amount of ingredients you had to use.
Remind the adults of this.

 

Practice

You can practice your ratio skills by Making Some Chocolate Crispies

To make these chocolate crispies I used:

  • 20 g (grams) of chocolate
  • 15 g of cornflakes or similar

 

Your mathematics task is to:

1) calculate the ratio of chocolate to cornflakes, and then:

2) work out the amount of ingredients to make 21 cakes.

1) We can see that the ratio of chocolate to cornflakes is 20:15

 

But this can be simplified further. The Greatest Common Factor is 5, so:

If we have 20 parts chocolate to 15 parts cornflake, divide each side by 5 and we get 4:3

This is the ratio of chocolate to cornflakes.

 

2) We need to work out how much chocolate and cornflakes we need to make 21 cakes.

 

The recipe is for 1 cake but we want 21, so multiply both ingredients by (21 cakes / 1 cake), or simply by 21:

  • 21×20 = 420
  • 21×15 = 315

 

So to make our 21 cakes we need:

  • 420 g of chocolate
  • 315 g of cornflakes

 

Ignite Your Mathematical Mind:

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

 

  • If we only have 400g of chocolate, how many cakes can we make, and what quantity of cornflakes do we need?
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