Module 12 Numbers Properties & Indices
Teacher Guide Lesson Resources Lesson Plans Exam Questions Probing Questions

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Tutorials and homework tasks from mymaths in the blue columns - password needed to access these resources

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Video Tutorials, Exam Questions and Answers from Mr Barton Maths in the orange columns

 

F

N4.8

1

Understand the concepts and vocabulary of factor (divisor), multiple and common factor and prime number.  Recognise and use multiples, factors (divisors), common factor, highest common factor and lowest common multiple in simple cases, and primes (less than 100); use simple tests of divisibility.

 

 

 

Prime Numbers

 

 

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Factors and Multiples

 

 

Video

Video

Exam Q

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HCF By Listing

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Video

Video

Exam Q

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LCM By Listing

Lesson

Homework

F

N5.4

2

Use and understand the terms reciprocal, highest common factor, lowest common multiple, prime number; find the prime number decomposition of positive integers.

 

 

 

Prime Factor Decomposition

 

 

Video

 

 

 

 

 

 

HCF & LCM By Using Prime Factors

 

 

Video 1

 

 

 

 

 

 

 

 

 

Video 2

 

 

 

F

N5.6

3

Use the term squares, square roots, cube and cube roots; recall the cubes of 2, 3, 4, 5, and 10; use index notation for simple integer powers.

 

 

 

Square and Cube Numbers and Square and Cube Roots

Lesson 1

Homework 1

Video 1

Video

Exam Q

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Lesson 2

Homework 2

Video 2

 

 

 

F

N7.2

4

Understand ‘reciprocal’ as multiplicative inverse, knowing that any non-zero number multiplied by its reciprocal is 1 and that zero has no reciprocal because division by zero is not defined.

 

 

 

 

 

 

 

 

 

 

F

N7.3

5

Use index laws with numerical and algebraic expressions involving multiplication and division of positive integer powers. Substitute positive and negative numbers into expressions such as 4x – 2, 3x2 + 4 and 2x3. Derive a formula and in simple cases, change its subject.

 

 

 

Simplify Algebraic Expressions involving Multiplication

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Index Notation

 

 

Video 1

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Rules of Indices

 

 

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Video 2

 

 

 

F

N7.7

6

Use standard index form expressed in conventional notation and on a calculator display; convert between ordinary and standard index form representations.

 

 

 

Standard Form Large

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Standard Form Small

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F

N7.8

7

Use a calculator effectively and efficiently, including using the memory and bracket keys, and function keys for reciprocals, squares and powers; enter a range of measures including ‘time’; interpret the display; round off a final answer to a reasonable degree of accuracy. Use Inequality notation to specify errors intervals due to rounding.

 

 

 

Calculator Methods 1

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Calculator Methods 2

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F

S7.2

8

Understand, recall and use Pythagoras’ theorem. Find the length AB given the points A and B in 2-D

 

 

 

Midpoint and Line Length

Lesson 1

Homework 1

 

 

 

 

 

 

 

 

Lesson 2

Homework 2

 

 

 

 

 

 

 

Pythagoras' Theorem

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H (New F)

N8.3

9

Solve problems involving calculating with powers, roots and numbers expressed in standard form, checking for correct order of magnitude and using a calculator as appropriate

 

 

 

Standard Form Large

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Standard Form Small

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Standard Form Using a Calculator

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H (New F)

N8.4

10

Solve problems involving repeated proportional or percentage changes, including compound interest; represent repeated proportional change using a multiplier raised to a power.

 

 

 

Compound Interest

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Video

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Depreciation

Lesson

Homework

 

H (New F)

NA.4

11

Use fractional, negative and zero powers in simplifying numerical expressions, including using inverse operations.

 

 

 

Indices Introduction

 

 

Video 1

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Exam Q

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Indices Negatives and Fractions

 

 

Video 1

 

 

 

 

 

Video 2

Video 3

H

NEW

12

Shortest distance from a point to a straight line

 

 

 

 

 

 

 

 

 

 

H

SA.3

13

Use Pythagoras’ theorem in 3-D contexts, including using 3-D coordinates and Pythagoras’ theorem to find the length AB given the points A and B in 3-D.

 

 

 

Pythagoras in 3D

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