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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  width=  width=    
Ordering Integers To be able to order integers, leading onto being able to order integers including negatives  width=  width=    
Ordering Fractions, Decimals and Percentages To be able to order decimals, then fractions, leading onto a mix of fractions, decimals and percentages  width=  width=    
Multiplying by Powers of 10 Multiplying by 10, 100, and a thousand, and then dividing, leading onto working with powers of 10  width=  width=    
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  width=  width=    
Adding whole and decimal numbers To be able to add whole numbers, decimal numbers and more than 2 whole numbers  width=  width=    
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.  width=  width=  
Increasing and Decreasing by a Percentage To be able increase or decrease a quantity by a percentage  width=  width=  
Compound Interest To be able to calculate compound percentage interest of amounts over specified years (increasing) - followed by depreciation (decreasing)  width=  width=  
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  width=  width=  
Direct and Inverse Proportional Change To be able to calculate problems involing direct proportion followed by problems involving inverse proportional change  width=  width=    
Number operations (BIDMAS) To be able to calculate questions involving a variety of operations using BIDMAS firstly without Indices, and then with Indices  width=  width=    
Simple Percentages To be able to calculate simple percentage of amounts - 50%, 25%, 10%  width=  width=    
Converting between Fractions and Decimals To be able to convert between decimals and fractions  width=  width=    
Converting between Decimals and Percentages To be able to convert between decimals and percentages  width=  width=    
Converting Improper Fractions To be able to convert between improper fractions and mixed numbers  width=  width=    
Converting between Fractions & Percentages To be able to convert betweenpercentages and fractions  width=  width=    
Standard Form To be able to convert to and from standard form, and use standard form in calculations  width=  width=    
Division using the bus stop method (including decimals) To be able to divide large numbers, and then be able to divide decimals.  width=  width=    
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.  width=  width=    width=
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  width=  width=    
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  width=  width=    
Reverse Percentage Calculations To be able to find out the original amounts after a percentage increase/decrease (reverse percentages), followed by repeated percentage change  width=  width=  
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  width=  width=    width=
Laws of Indices To be able to multiply and divide numbers in index form, and to calculate a power to a power  width=  width=    
Calculations with Surds - expanding brackets To be able to multiply out brackets involving surds  width=  width=    
Multiplication using standard methods To be able to multiply using the grid method, and long muliplication method.  width=  width=    
Multiplying and Dividing Fractions To be able to multipy and divide fractions leading to multipying and dividing mixed numbers  width=  width=    
Multiplying and Dividing Decimals To be able to multipy and divide with decimal numbers  width=  width=    
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  width=  width=    
Rationalising the denominator To be able to rationalise a surd starting with simple multiple of denominator, leading onto denominator having 2 terms.  width=  width=    
Rounding to Whole Numbers and Decimal Places To be able to round numbers effectively to nearest whole numbers and decimal places  width=  width=    
Estimating by rounding to significant figures To be able to round numbers to significant figures and estimate calculations by estimating values  width=  width=    
Equivalent Fractions & Simplifying Fractions To be able to simplify fractions and find equivalent fractions  width=  width=    
Manipulation of Surds (Multiply and Divide Rules) To be able to simplify surds, add/subtract surds, leading onto multiplying surds  width=  width=    
Subtracting whole and decimal Decimals To be able to subtract whole numbers, decimal numbers and more than 2 whole numbers  width=  width=    
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  width=  width=    width=
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  width=  width=    width=
Negative and Fractional Indices To understand negative and fractional powers, and apply these to common square/cubed numbers  width=  width=    
Types of Numbers To understand odd, and even numers, followed by prime and triangular numbers  width=  width=    
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  width=  width=  width=
Ratios To be able to simplify ratios, leading onto sharing quantities into ratios  width=  width=    
Recurring Decimals To understand recurring decimal notation, to convert fractions to recurring decimals extending to converting recurring decimals to fractions  width=  width=    
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  width=  width=    
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  width=  width=    

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