**NUMBER LESSONS - CONTENT LIST**

**Please note: **This list of for viewing purposes only, showing list of lessons that are available on the website - each of the links once registered will link to suitable lesson as described. The right hand column will also link to worksheets which accompany the given lessons to be delivered to help you plan required resources.

Title | Description/Objectives | GCSE papers requiring relevant topic | Calculator required | Lesson requires printed documents | |

Numbers in and from Words | To be able find the place values of numbers, and then write words from figures and vice versa | ||||

Ordering Integers | To be able to order integers, leading onto being able to order integers including negatives | ||||

Ordering Fractions, Decimals and Percentages | To be able to order decimals, then fractions, leading onto a mix of fractions, decimals and percentages | ||||

Multiplying by Powers of 10 | Multiplying by 10, 100, and a thousand, and then dividing, leading onto working with powers of 10 | ||||

Add and Subtract Fractions | To be able to add and subtract fractions, starting with same denominators leading to different denominators. Then be able to add/subtract mixed numbers | ||||

Adding whole and decimal numbers | To be able to add whole numbers, decimal numbers and more than 2 whole numbers | ||||

Percentages of a quantity | To be able to calculate a percentage of a quantity, and then find an amount which has been increased/decreased by a percentage. | ||||

Increasing and Decreasing by a Percentage | To be able increase or decrease a quantity by a percentage | ||||

Compound Interest | To be able to calculate compound percentage interest of amounts over specified years (increasing) - followed by depreciation (decreasing) | ||||

One number as a percentage of another | To be able to calculate one quantity as a percentage of another, leading onto being able to calculate the percentage increase/decrease | ||||

Direct and Inverse Proportional Change | To be able to calculate problems involing direct proportion followed by problems involving inverse proportional change | ||||

Number operations (BIDMAS) | To be able to calculate questions involving a variety of operations using BIDMAS firstly without Indices, and then with Indices | ||||

Simple Percentages | To be able to calculate simple percentage of amounts - 50%, 25%, 10% | ||||

Converting between Fractions and Decimals | To be able to convert between decimals and fractions | ||||

Converting between Decimals and Percentages | To be able to convert between decimals and percentages | ||||

Converting Improper Fractions | To be able to convert between improper fractions and mixed numbers | ||||

Converting between Fractions & Percentages | To be able to convert betweenpercentages and fractions | ||||

Standard Form | To be able to convert to and from standard form, and use standard form in calculations | ||||

Division using the bus stop method (including decimals) | To be able to divide large numbers, and then be able to divide decimals. | ||||

Using Venn Diagrams to find LCM and HCF | To be able to fill in Venn Diagrams, and then use the to find HCF and LCM. | ||||

Factors and Highest Common Factor | To be able to find all the factors of a number, leading onto being able to find the HCF of 2 or more numbers | ||||

Multiples and Lowest Common Multiple | To be able to find multiples of a number, leading onto being able to find the the LCM of 2 or more numbers | ||||

Reverse Percentage Calculations | To be able to find out the original amounts after a percentage increase/decrease (reverse percentages), followed by repeated percentage change | ||||

Finding upper and lower bounds with problems | To be able to find upper and lower bouds/limits using pre-rounded numbers to whole numbers, decimal places and significant figures | ||||

Laws of Indices | To be able to multiply and divide numbers in index form, and to calculate a power to a power | ||||

Calculations with Surds - expanding brackets | To be able to multiply out brackets involving surds | ||||

Multiplication using standard methods | To be able to multiply using the grid method, and long muliplication method. | ||||

Multiplying and Dividing Fractions | To be able to multipy and divide fractions leading to multipying and dividing mixed numbers | ||||

Multiplying and Dividing Decimals | To be able to multipy and divide with decimal numbers | ||||

Indices notations / square and cube numbers | To be able to put numbers into index form, and to calculate numerical numbers from numbers given in powers or square roots | ||||

Rationalising the denominator | To be able to rationalise a surd starting with simple multiple of denominator, leading onto denominator having 2 terms. | ||||

Rounding to Whole Numbers and Decimal Places | To be able to round numbers effectively to nearest whole numbers and decimal places | ||||

Estimating by rounding to significant figures | To be able to round numbers to significant figures and estimate calculations by estimating values | ||||

Equivalent Fractions & Simplifying Fractions | To be able to simplify fractions and find equivalent fractions | ||||

Manipulation of Surds (Multiply and Divide Rules) | To be able to simplify surds, add/subtract surds, leading onto multiplying surds | ||||

Subtracting whole and decimal Decimals | To be able to subtract whole numbers, decimal numbers and more than 2 whole numbers | ||||

Add, subtract, multiply, divide negative numbers | To be able to use a number line to work out answers using negative numbers, and to be able to use four operations with negative numbers | ||||

Fractions of quantities | To be able to work out a fraction of a quantity, and then find an amount as a fraction of another amount | ||||

Negative and Fractional Indices | To understand negative and fractional powers, and apply these to common square/cubed numbers | ||||

Types of Numbers | To understand odd, and even numers, followed by prime and triangular numbers | ||||

Unitary Ratios | To be able to convert ratios to 1:n, and to use this to determine recipe amounts, leading onto being able to find best values | ||||

Ratios | To be able to simplify ratios, leading onto sharing quantities into ratios | ||||

Recurring Decimals | To understand recurring decimal notation, to convert fractions to recurring decimals extending to converting recurring decimals to fractions | ||||

Calculating Harder Percentages without a calculator | To be able to work our 1% of an amount - leading onto being able to work out more challenging percentages | ||||

Product of Prime Factors | To be able to find create a prime factor tree, leading onto writing a number of a product of it's prime factors |