## About the course

This Cambridge Mathematics Lower Secondary course will provide you with an in-depth understanding of integers. It will guide you through every step of learning, enabling you to be competent in this area of mathematics. All you need to learn is a laptop or similar device, calculator, notepad and pen.

Lessons include:

- Whole number skills
- Number skills
- Directed Numbers
- Ratios

By the time you have completed this lower secondary mathematics curriculum, you will be confident in your knowledge of integers, being able to apply this to everyday situations.

## What to expect

This Cambridge Mathematics Lower Secondary course on integers is split into manageable sections, with a total of 41 lessons and 341 steps. Each lesson covers a specific area of knowledge, enabling you to learn at your own pace.

As you enter your answers, they will be marked as either correct or incorrect. This means you can learn from your mistakes and make corrections as required. Once you have finished, you can mark each topic as complete.

The progress section shows how many steps you have remaining, allowing you to see the percentage of completion. Designed to make learning enjoyable and simple, this course simplifies mathematics.

## Benefits

- Easy to understand the course, broken down into sections
- Input and mark answers as you progress
- Learn at your own pace
- In-depth information
- Includes everything you need to know about integers

#### Course Materials

#### Need for Numbers

- Topic - Listing 2 Digit Numbers in Ascending Order
- Topic - Listing 2 Digit Numbers in Descending Order
- Topic - Listing 2 Digit Numbers in Ascending Order and No Repeats
- Topic - Listing 2 Digit Numbers in Descending Order and No Repeats
- Topic - Listing 2 Digit Numbers in Ascending Order using 3 Digits
- Topic - Listing 2 Digit Numbers in Descending Order using 3 Digits
- Topic - Listing 2 Digit Numbers in Ascending Order using 3 Digits No Repeat
- Topic - Listing 2 Digit Numbers in Descending Order using 3 Digits No Repeat
- Topic - Listing 3 Digit Numbers in Ascending Order using 2 Digits
- Topic - Listing 3 Digit Numbers in Descending Order using 2 Digits
- Topic - Listing Numbers in Ascending Order
- Topic - Listing Numbers in Descending Order
- Topic - Writing Values in Words and Digits
- Topic - Largest Numbers Having Specific Digits
- Topic - Smallest Numbers Having Specific Digits

#### Adding Whole Numbers

- Topic - One Digit Number + One Digit Number
- Topic - Two Digit Number + One Digit Number
- Topic - Two Digit Number + Two Digit Number
- Topic - Three Digit Number + One Digit Number
- Topic - Three Digit Number + Two Digit Number
- Topic - Three Digit Number + Three Digit Number
- Topic - Four Digit Number + One Digit Number
- Topic - Four Digit Number + Two Digit Number
- Topic - Four Digit Number + Three Digit Number
- Topic - Four Digit Number + Four Digit Number

#### Subtracting Whole Numbers

- Topic - One Digit Number - One Digit Number
- Topic - Two Digit Number - One Digit Number
- Topic - Two Digit Number - Two Digit Number
- Topic - Three Digit Number - One Digit Number
- Topic - Three Digit Number - Two Digit Number
- Topic - Three Digit Number - Three Digit Number
- Topic - Four Digit Number - One Digit Number
- Topic - Four Digit Number - Two Digit Number
- Topic - Four Digit Number - Three Digit Number
- Topic - Four Digit Number - Four Digit Number

#### Multiplying Whole Numbers

- Topic - Multiplying One Digit Number and One Digit Number
- Topic - Multiplying One Digit Number and One Digit Number
- Topic - Multiplying Two Digit Number and One Digit Number 2
- Topic - Multiplying Two Digit Number and Two Digit Number 1
- Topic - Multiplying Two Digit Number and Two Digit Number 2
- Topic - Multiplying Three Digit Number and One Digit Number 1
- Topic - Multiplying Three Digit Number and One Digit Number 2
- Topic - Long Multiplication: 306 x 47
- Topic - Long Multiplication: 476 x 58

#### Dividing Whole Numbers

- Topic - Dividing Whole Numbers
- Topic - Dividing and Multiplying Numbers
- Topic - Long Division: 500 by 4
- Topic - Long Division: 361 by 7
- Topic - Long Division: 683 by 3
- Topic - Long Division: 1458 by 4
- Topic - Long Division: 5807 by 6
- Topic - Long Division: 8510 by 7
- Topic - Long Division: 452 by 12
- Topic - Long Division: 682 by 35
- Topic - Long Division: 859 by 23
- Topic - Long Division: 5474 by 12
- Topic - Long Division: 9255 by 25
- Topic - Long Division: 9345 by 27

#### Divisibility Tests of Whole Numbers

- Topic - Divisibility Test for Two 1
- Topic - Divisibility Test for Two 2
- Topic - Divisibility Test for Three 1
- Topic - Divisibility Test for Three 2
- Topic - Divisibility Test for Four 1
- Topic - Divisibility Test for Four 2
- Topic - Divisibility Test for Five 1
- Topic - Divisibility Test for Five 2
- Topic - Divisibility Test for Six 1
- Topic - Divisibility Test for Six 2
- Topic - Divisibility Test for Seven 1
- Topic - Divisibility Test for Seven 2
- Topic - Divisibility Test for Seven 3
- Topic - Divisibility Test for Eight 1
- Topic - Divisibility Test for Eight 2
- Topic - Divisibility Test for Nine 1
- Topic - Divisibility Test for Nine 2
- Topic - Divisibility Test for Ten
- Topic - Divisibility Test for Eleven 1
- Topic - Divisibility Test for Eleven 2

#### Words used in Mathematics

- Video - From Words to Algebraic Expressions (9:07)
- Video - From Algebraic Expressions to Words (1:56)
- Video - Arithmetic Sums and Differences (4:45)
- Video - Arithmetic Products and Quotients (2:17)
- Video - Sum, Difference, Product and Quotient (5:35)
- Video - Variables in Algebraic Expressions (6:34)
- Video - Expanded Form of Algebraic Expressions (3:11)
- Video - Collecting Variables of Algebraic Expressions (4:07)
- Video - Multiplying Terms of Algebraic Expressions (5:37)
- Video - Dividing Terms of Algebraic Expressions (8:00)
- Topic - Language of Mathematics
- Topic - Symbols used in Mathematics
- Topic - Language of Mathematics: Sum
- Topic - Language of Mathematics: Difference
- Topic - Language of Mathematics: Product
- Topic - Language of Mathematics: Quotient

#### Index Notation

- Video - Power and Indices (9:27)
- Video - Introduction to Index Notation (8:43)
- Video - Index Notation and Expanded Notation (1:28)
- Video - Writing Index Notation from Wording (1:33)
- Video - Index Form (6:45)
- Video - Equations involving Indices (1:45)
- Video - Conversion Index Form in Power of Tens to Normal Numbers (7:02)
- Video - Conversion Normal Numbers to Index Form in Power of Tens (6:13)
- Topic - Expanded Form to Index Form
- Topic - Index Form to Expanded Form

#### Integers

- Topic - Additions and Subtractions of Integers 1
- Topic - Additions and Subtractions of Integers 2
- Topic - Additions and Subtractions of Integers 3
- Topic - Multiplications and Divisions of Integers
- Topic - Order of Operations of Integers involving Multiplications
- Topic - Order of Operations of Integers involving Divisions
- Topic - Order of Operations of Integers involving Brackets

#### Highest Common Factor (HCF)

- Video - Understanding Highest Common Factors (9:55)
- Video - Finding Highest Common Factors (4:50)
- Topic - HCF of Single Prime Factors between Two Numbers
- Topic - HCF of Two Prime Factors between Two Numbers
- Topic - HCF of Three Prime Factors between Two Numbers
- Topic - HCF of Single Prime Factors between Three Numbers
- Topic - HCF of Two Prime Factors between Three Numbers

#### Lowest Common Multiple (LCM)

- Video - Multiples of Integers (5:22)
- Video - Lowest Common Multiples (14:13)
- Video - Finding the Lowest Common Multiples (5:30)
- Video - Common Multiples (3:26)
- Video - Getting Multiples of Integers (2:51)
- Video - Finding Missing Values by Multiplications of Integers (5:58)
- Topic - Listing Multiples
- Topic - Lowest Common Multiple by Listing Multiples of Two Numbers
- Topic - Lowest Common Multiple by Listing Multiples of Three Numbers
- Topic - LCM by Using Product of Prime Factors between Two Numbers
- Topic - LCM by Writing Product of Prime Factors between Two Numbers
- Topic - LCM by Using Product of Prime Factors between Three Numbers
- Topic - LCM by Writing Product of Prime Factors between Three Numbers

#### Order of Operations

- Video - Understanding Order of Operations (10:25)
- Video - Order of Operations BEDMAS (2:42)
- Video - Order of Operations (5:00)
- Video - Finding Unknown Values by Changing Orders (3:03)
- Video - Grouping Symbols (8:31)
- Topic - Evaluation of Two Operations
- Topic - Evaluation of Three Operations
- Topic - Evaluation involving Brackets
- Topic - Evaluation involving Double Brackets
- Topic - Evaluation involving Nested Brackets
- Topic - Evaluation involving Fractions
- Topic - Evaluation involving Exponents

#### Special Number Sets

- Video - Number Sets (4:49)
- Video - Classification Numbers using Number Sets (8:18)
- Video - Natural Numbers (2:31)
- Video - Integers (2:07)
- Video - Rational Numbers (2:49)
- Video - Irrational Numbers (3:24)
- Video - Real Numbers (2:19)
- Topic - True or False for Natural Numbers
- Topic - True or False for Integers
- Topic - True or False for Rational Numbers
- Topic - True or False for Irrational Numbers
- Topic - Classification of Numbers

#### Prime Factors

- Video - Factorise 72 as a Product of its Prime Factors (3:27)
- Video - Factorise 108 as a Product of its Prime Factors (1:11)
- Video - Factorise 6125 as a Product of its Prime Factors (1:55)
- Video - Factorise 300 as a Product of its Prime Factors (1:45)
- Video - Indicial Equations by Factorising Integers of Prime Factors 1 (2:26)
- Video - Indicial Equations by Factorising Integers of Prime Factors 2 (1:38)
- Video - Indicial Equations by Factorising Integers of Prime Factors 3 (2:02)
- Video - Indicial Equations by Factorising Integers of Prime Factors 4 (2:02)
- Topic - True or False of Prime Factors
- Topic - Prime Factors of 24
- Topic - Prime Factors of 36
- Topic - Prime Factors of 72
- Topic - Prime Factors of 171
- Topic - Prime Factors of 520
- Topic - Prime Factors of 1500
- Topic - Prime Factors in Index Notation
- Topic - Finding Two Prime Factors
- Topic - Finding Three Prime Factors
- Topic - Finding Four Prime Factors
- Topic - Prime Factorisation: Factor Tree of Bases 5 and 7
- Topic - Prime Factorisation: Indicial Equations in Single Bases
- Topic - Prime Factorisation: Indicial Equations in Multiple Bases

#### Square Roots

- Video - Understanding Square Roots (2:37)
- Video - Evaluating Square Roots (3:03)
- Topic - Square Roots of Square Numbers
- Topic - Square Roots of Square Numbers Multiple of Ten
- Topic - Square Roots of Square Decimal Numbers
- Topic - Arithmetic Calculations with Square Roots
- Topic - Approximated Values of Square Roots

#### Multiplication of Integers

- Video - Mental Calculations: Multiplications (11:14)
- Video - Multiplications of Integers (5:42)
- Topic - Multiplication of Integers: Positive Times Positive
- Topic - Multiplication of Integers: Negative Times Negative
- Topic - Multiplication of Integers: Opposite Signs
- Topic - Multiplication of Integers: Using Indices
- Topic - Multiplication of Integers: Using Square Roots
- Topic - Multiplication of Integers: Using Cube Roots
- Topic - Multiplication of Integers: Missing Numbers
- Topic - Multiplication of Integers: Substitutions

#### Simplifying Ratios

- Video - Equivalent Ratios (4:28)
- Video - Simplifying Ratios (1:32)
- Video - Simplifying Ratios with Fractions & Decimals (4:23)
- Video - Simplifying Ratios in Different Units (2:39)
- Topic - Express Ratio in Simplest Form 1
- Topic - Express Ratio in Simplest Form 2
- Topic - Equivalent Ratios by Patterns
- Topic - Simplest Ratios in Same Units
- Topic - Simplest Ratios in Different Units: Length
- Topic - Simplest Ratios in Different Units: Currency
- Topic - Simplest Ratios in Different Units: Volume
- Topic - Simplest Ratios in Different Units: Time
- Topic - Simplest Ratios in Different Units: Mass
- Topic - Simplest Ratios in Fractions

#### Increasing and Decreasing in a Given Ratio

- Video - Increasing Ratios (3:55)
- Video - Decreasing Ratios (4:58)
- Topic - Increasing or Decreasing
- Topic - Increasing in Ratio
- Topic - Decreasing in Ratio
- Topic - Increasing by Fractions
- Topic - Increasing by Multiple Fractions
- Topic - Decreasing by Fractions
- Topic - Decreasing by Multiple Fractions

#### Dividing a Quantity in a Given Ratio

- Video - Dividing Quantity in Given Ratio (3:34)
- Video - Theory of Divisions using Ratio (2:55)
- Video - Divisions using Ratio (3:35)
- Video - Finding Divided Ratios 1 (3:44)
- Video - Finding Divided Ratios 2 (2:26)
- Video - Finding Divided Ratios 3 (2:55)
- Topic - Dividing in a Given Ratio by Two Parts 1
- Topic - Dividing in a Given Ratio by Two Parts 2
- Topic - Dividing in a Given Ratio by Three Parts 1
- Topic - Dividing in a Given Ratio by Three Parts 2
- Topic - Three Angles in a Triangle