Number Lessons

Lesson titleDescription (objectives)Lesson WorksheetCalculator requiredProblem Solving QuestionsProblem Solving Worksheet
Accuracy with BoundsTo be able to give your answer to an appropriate degree of accuracy using upper and lower bounds
Add and Subtract FractionsTo be able to add and subtract fractions, starting with same denominators leading to different denominators. Then be able to add/subtract mixed numbers width=
Adding whole and decimal numbers To be able to add whole numbers, decimal numbers and more than 2 whole numbers width=
Number operations (BIDMAS) To be able to calculate questions involving a variety of operations using BIDMAS firstly without Indices, and then with Indices
Calculating Harder Percentages without a calculatorTo be able to work our 1% of an amount - leading onto being able to work out more challenging percentages
Fractions of quantitiesTo be able to work out a fraction of a quantity, and then find an amount as a fraction of another amount
Combining RatiosTo be able to combine ratios
Combining Ratios - using FractionsTo be able to combine ratios as fractions
Compound InterestTo be able to calculate compound percentage interest of amounts over specified years (increasing) - followed by depreciation (decreasing)
Converting between Decimals and PercentagesTo be able to convert between decimals and percentages
Converting between Fractions and DecimalsTo be able to convert between decimals and fractions
Converting between Fractions & PercentagesTo be able to convert betweenpercentages and fractions
Converting Improper FractionsTo be able to convert between improper fractions and mixed numbers
Direct and Inverse Proportional ChangeTo be able to calculate problems involving direct proportion followed by problems involving inverse proportional change width=
Division using the bus stop method (including decimals)To be able to divide large numbers, and then be able to divide decimals.
Error Intervals and Truncating- To be able to write down error intervals for rounded numbers
- To be able to truncate numbers
- To be able to write down error intervals for truncated numbers
Estimating by rounding to significant figuresTo be able to round numbers to significant figures and estimate calculations by estimating values
Exchange Rates- To be able to use exchange rates to convert currencies
- To be able to solve problems using exchange rates
Factors and Highest Common FactorTo be able to find all the factors of a number, leading onto being able to find the HCF of 2 or more numbers
Negative and Fractional Indices To understand negative and fractional powers, and apply these to common square/cubed numbers width=
Laws of Indices To be able to multiply and divide numbers in index form, and to calculate a power to a power
Manipulation of Surds (Multiply and Divide Rules)To be able to simplify surds, add/subtract surds, leading onto multiplying surds width=
Money Problems- To be able to total a bill
- To be able to calculate the amount of change from a purchase
- To be able to solve money problems
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
Multiplication using standard methodsTo be able to multiply using the grid method, and long muliplication method.
Multiplying and Dividing Decimals To be able to multipy and divide with decimal numbers
Multiplying and Dividing Fractions To be able to multipy and divide fractions leading to multipying and dividing mixed numbers
Multiplying by Powers of 10Multiplying by 10, 100, and a thousand, and then dividing, leading onto working with powers of 10 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
Ordering Fractions, Decimals and PercentagesTo be able to order decimals, then fractions, leading onto a mix of fractions, decimals and percentages width=
Ordering IntegersTo be able to order integers, leading onto being able to order integers including negatives width=
One number as a percentage of anotherTo be able to calculate one quantity as a percentage of another, leading onto being able to calculate the percentage increase/decrease
Increasing and Decreasing by a PercentageTo be able increase or decrease a quantity by a percentage
Percentages of a quantityTo be able to calculate a percentage of a quantity, and then find an amount which has been increased/decreased by a percentage.Problem solving
Numbers in and from WordsTo be able find the place values of numbers, and then write words from figures and vice versaProblem solving
Indices notations / square and cube numbersTo be able to put numbers into index form, and to calculate numerical numbers from numbers given in powers or square roots

Product of Prime FactorsTo be able to find create a prime factor tree, leading onto writing a number of a product of it's prime factors
Rationalising the denominatorTo be able to rationalise surds starting with simple multiple of denominator, leading onto denominator having 2 terms.
RatiosTo be able to simplify ratios, leading onto sharing quantities into ratios width=
Recurring DecimalsTo understand recurring decimal notation, to convert fractions to recurring decimals extending to converting recurring decimals to fractions
Reverse Percentage Calculations To be able to find out the original amounts after a percentage increase/decrease (reverse percentages), followed by repeated percentage change
Rounding to Whole Numbers and Decimal Places To be able to round numbers effectively to nearest whole numbers and decimal places

Similar or related calculationsTo be able to use a given calculation to calculate the answer to a similar question using place value. Similar or related calculations
Simple InterestTo be able to calculate simple percentage interest and use simple interest in problems
Simple PercentagesTo be able to calculate simple percentage of amounts - 50%, 25%, 10%
Equivalent Fractions & Simplifying FractionsTo be able to simplify fractions and find equivalent fractions
Standard FormTo be able to convert to and from standard form, and use standard form in calculations
Subtracting whole and decimal Decimals To be able to subtract whole numbers, decimal numbers and more than 2 whole numbers
Calculations with Surds - expanding bracketsTo be able to multiply out brackets involving surds
Time Tables- To be able to read bus timetables
- To be able to find the length of a bus journey
Types of NumbersTo understand odd, and even numers, prime and triangular numbers, followed by rational and irrational numbers
Unitary RatiosTo be able to convert ratios to 1:n, and to use this to determine recipe amounts, leading onto being able to find best values
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\\\
Using a CalculatorTo be able to use a calculator effectively
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.
Percentage errors in Bounds-To be able to find the maximum percentage error of rounded numbers
Reciprocals- To be able to find the reciprocal of a fraction
- To be able to find the reciprocal of a decimal
Clocks and Time- To be able to read analogue clocks
- To be able to draw hands on analogue clocks to show time
- To be able to convert between 12 and 24 hour clocks
Scales and Measure- To be able to read scales
- To be able to add dials / measurement lines to scales