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