1EM Unit 1 – Primes, HCF and LCM

1EM , Primes, HCF and LCM ,

1EM Unit 1 – Primes, HCF and LCM

Learning Objectives:

Understand the definition of prime numbers and composite numbers.
Determine whether a whole number is prime or composite.
Express a composite number as the product of its prime factors, i.e., perform the prime factorisation.
Solve problems involving perfect square, perfect cube, square root, or cube root using prime factorisation.
Find the highest common factor (HCF) and the lowest common multiple (LCM) of two or more whole numbers.
Solve problems involving the real-world applications of prime numbers, HCF and LCM.

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Course Content

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Welcome! 1 Question

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Lesson Content

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Please read through the following guidelines before you start the course

1EM 1.1 Prime Numbers and Composite Numbers 6 Questions

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Lesson Content

0% Complete 0/6 Steps

1EM 1.1 Conceptual Bridging: Prime Numbers

1EM 1.1 Worked Example 1 (Test for Prime Numbers)

1EM 1.1 Practice Now 1 Question 1

1EM 1.1 Worked Example 2 (Problem Involving a Prime Number)

1EM 1.1 Practice Now 2 Question 1

1EM 1.1 Practice Now 2 Question 2

1EM 1.2 Prime Factorisation and Its Applications 11 Questions

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Lesson Content

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1EM 1.2 Worked Example 1 (Why and How do we Prime Factorise?)

1EM 1.2 Practice Now 1 Question 1

1EM 1.2 Worked Example 2 (Finding the Square and Cube Roots using Prime Factorisation)

1EM 1.2 Worked Example 3 (Explanation of Perfect Squares and Cubes)

1EM 1.2 Worked Example 4 (Changing a number to a Perfect Cube)

1EM 1.2 Worked Example 5 (Higher Order Thinking Questions)

1EM 1.2 Exercise Question 1

1EM 1.2 Exercise Question 2

1EM 1.2 Exercise Question 3

1EM 1.2 Exercise Question 4

1EM 1.2 Exercise Question 5

1EM 1.3 Highest Common Factor 6 Questions

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Lesson Content

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1EM 1.3 Worked Example 1 (Introduction to Highest Common Factor)

1EM 1.3 Practice Now 1 Question 1

1EM 1.3 Worked Example 2 (HCF by Prime Factorisation

1EM 1.3 Practice Now 2 Question 1

1EM 1.3 Worked Example 3 (Applications of Highest Common Factor)

1EM 1.3 Worked Example 4 (Applications of Highest Common Factor)

1EM 1.4 Lowest Common Multiple and Its Applications 11 Questions

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1EM 1.4 Worked Example 1 (Lowest Common Multiple Introduction)

1EM 1.4 Worked Example 2 (Lowest Common Multiple Introduction)

1EM 1.4 Practice Now 1 Question 1

1EM 1.4 Worked Example 3 (Applications of LCM)

1EM 1.4 Worked Example 4 (Applications of LCM)

1EM 1.4 Worked Example 5 (Applications of LCM)

1EM 1.4 Exercise Question 1

1EM 1.4 Exercise Question 2

1EM 1.4 Exercise Question 3

1EM 1.4 Exercise Question 4

1EM 1.4 Exercise Question 5

1EM Unit 1 Summary Worksheet 1 16 Questions

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Lesson Content

0% Complete 0/16 Steps

1EM Unit 1 Summary Worksheet Question 1

1EM Unit 1 Summary Worksheet Question 2

1EM Unit 1 Summary Worksheet Question 3

1EM Unit 1 Summary Worksheet Question 4

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1EM Unit 1 Summary Worksheet Question 13

1EM Unit 1 Summary Worksheet Question 14

1EM Unit 1 Summary Worksheet Question 15

1EM Unit 1 Summary Worksheet Question 16

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Download Summary Notes

Download Summary Worksheet I

Course Content

Expand All

Welcome! 1 Question

Expand

Lesson Content

0% Complete 0/1 Steps

Please read through the following guidelines before you start the course

1EM 1.1 Prime Numbers and Composite Numbers 6 Questions

Expand

Lesson Content

0% Complete 0/6 Steps

1EM 1.1 Conceptual Bridging: Prime Numbers

1EM 1.1 Worked Example 1 (Test for Prime Numbers)

1EM 1.1 Practice Now 1 Question 1

1EM 1.1 Worked Example 2 (Problem Involving a Prime Number)

1EM 1.1 Practice Now 2 Question 1

1EM 1.1 Practice Now 2 Question 2

1EM 1.2 Prime Factorisation and Its Applications 11 Questions

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Lesson Content

0% Complete 0/11 Steps

1EM 1.2 Worked Example 1 (Why and How do we Prime Factorise?)

1EM 1.2 Practice Now 1 Question 1

1EM 1.2 Worked Example 2 (Finding the Square and Cube Roots using Prime Factorisation)

1EM 1.2 Worked Example 3 (Explanation of Perfect Squares and Cubes)

1EM 1.2 Worked Example 4 (Changing a number to a Perfect Cube)

1EM 1.2 Worked Example 5 (Higher Order Thinking Questions)

1EM 1.2 Exercise Question 1

1EM 1.2 Exercise Question 2

1EM 1.2 Exercise Question 3

1EM 1.2 Exercise Question 4

1EM 1.2 Exercise Question 5

1EM 1.3 Highest Common Factor 6 Questions

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Lesson Content

0% Complete 0/6 Steps

1EM 1.3 Worked Example 1 (Introduction to Highest Common Factor)

1EM 1.3 Practice Now 1 Question 1

1EM 1.3 Worked Example 2 (HCF by Prime Factorisation

1EM 1.3 Practice Now 2 Question 1

1EM 1.3 Worked Example 3 (Applications of Highest Common Factor)

1EM 1.3 Worked Example 4 (Applications of Highest Common Factor)

1EM 1.4 Lowest Common Multiple and Its Applications 11 Questions

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Lesson Content

0% Complete 0/11 Steps

1EM 1.4 Worked Example 1 (Lowest Common Multiple Introduction)

1EM 1.4 Worked Example 2 (Lowest Common Multiple Introduction)

1EM 1.4 Practice Now 1 Question 1

1EM 1.4 Worked Example 3 (Applications of LCM)

1EM 1.4 Worked Example 4 (Applications of LCM)

1EM 1.4 Worked Example 5 (Applications of LCM)

1EM 1.4 Exercise Question 1

1EM 1.4 Exercise Question 2

1EM 1.4 Exercise Question 3

1EM 1.4 Exercise Question 4

1EM 1.4 Exercise Question 5

1EM Unit 1 Summary Worksheet 1 16 Questions

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Lesson Content

0% Complete 0/16 Steps

1EM Unit 1 Summary Worksheet Question 1

1EM Unit 1 Summary Worksheet Question 2

1EM Unit 1 Summary Worksheet Question 3

1EM Unit 1 Summary Worksheet Question 4

1EM Unit 1 Summary Worksheet Question 5

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1EM Unit 1 Summary Worksheet Question 12

1EM Unit 1 Summary Worksheet Question 13

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1EM Unit 1 Summary Worksheet Question 15

1EM Unit 1 Summary Worksheet Question 16