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## Fractions

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**The Meaning of a Fraction**Fractions Fractions of origin amount Equivalent Fractions Percentage (Fraction by another name) Conversion between F, D ,% www.mathsrevision.com Using Percentages Proper Fractions and mixed numbers Ratios Compiled by Mr. Lafferty Maths Dept.**Level E Starter Questions**X www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions**Learning Intention Success Criteria • 1. To know the NUMERATOR is the top number • 1. To understand the • term Fraction. • 2. To know the DENOMINATOR is the bottom number • 2. To understand that different fractions can have the same value www.mathsrevision.com 3. To be able to work out a fraction of a quantity. Compiled by Mr. Lafferty Maths Dept.**Fractions**A Fraction consists of 2 parts. Top number called the NUMERATOR Bottom number called the DENOMINATOR Compiled by Mr. Lafferty Maths Dept.**Fractions**Write down the fraction that is shaded in light blue. Compiled by Mr. Lafferty Maths Dept.**Fractions**Q. What fraction are the following of a £1 (a) 50p (b) 25p (c) 10p (d) 75p Q. State what the unit of measurement is a millimetre a month a minute Compiled by Mr. Lafferty Maths Dept.**Fractions**We can write fractions as decimals by dividing the top by the bottom. example Exercise 2.1 and Exercise 2.2 Page 331 and Page 32 Compiled by Mr. Lafferty Maths Dept.**Level E Starter Questions**5cm 7cm www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions of a quantity**Learning Intention Success Criteria • To know the 2 step for finding a fraction of a quantity. • To explain the 2 step process of finding a fraction of a quantity. • Be able to calculate the fraction of a quantity. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions of a quantity**of means x in mathematics ! means Simply divide by the denominator Compiled by Mr. Lafferty Maths Dept.**Fractions of a quantity**Q. Calculate means Simply divide by the denominator Then multiply the answer by numerator Step 1: Step 2: Compiled by Mr. Lafferty Maths Dept.**Fractions of a quantity**Q. Do the calculation below. means Simply divide by the denominator Then multiply the answer by numerator Step 1: Step 2: Compiled by Mr. Lafferty Maths Dept.**Fractions of a quantity**Ex 3.1 and 3.2 Page 333 Compiled by Mr. Lafferty Maths Dept.**Level E Starter Questions**www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions**Learning Intention Success Criteria • 1. To know the NUMERATOR is the top number • 1. To understand the • term Fraction. • 2. To know the DENOMINATOR is the bottom number • 2. To understand that different fractions can have the same value www.mathsrevision.com 3. To be able to simplify fractions. Compiled by Mr. Lafferty Maths Dept.**, , , all represent the same amount**and are called equivalent fractions Fractions Write down the fraction that is shaded in light blue. Compiled by Mr. Lafferty Maths Dept.**Fractions**Q. Calculate the following All the same value ! Equivalent fractions Compiled by Mr. Lafferty Maths Dept.**Fractions**Equivalent Fractions multiply the numerator and the denominator by the same number. Find a equivalent fraction to : Compiled by Mr. Lafferty Maths Dept.**Fractions**We can sometimes ‘simplify’ a fraction by finding a number that the numerator and denominator have in common. Compiled by Mr. Lafferty Maths Dept.**Fractions**Exercise 4.1 Page 335 Compiled by Mr. Lafferty Maths Dept.**Level E Starter Questions**www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Percentages**Learning Intention Success Criteria • To understand the term percentage. • To explain what the term percentage means and how it is connected to fractions. • Understand connection between percentages, and fractions. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**31 out of a 100**Percentages It is common to express fractions using a denominator of a 100 means 31 % means 7 % 7 out of a 100 Compiled by Mr. Lafferty Maths Dept.**Percentages**Q. Write down the following as a fraction and a decimal. 27% 15% 2% Compiled by Mr. Lafferty Maths Dept.**Percentages**Q. Write down the following fractions as equivalent fractions out of a 100 and the percentages. Compiled by Mr. Lafferty Maths Dept.**Percentages**Now try Ex 5.1 Page 340 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Level E Starter Questions**www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions Percentages Decimals**Learning Intention Success Criteria • Learn rules for converting between percentages fractions and decimals. • To understand how to convert between percentages, fractions and decimals. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions Percentages Decimals**Copy triangle and use it to convert between fraction decimals and percentages Decimal Fraction www.mathsrevision.com Common Fraction Percentage (P%) Compiled by Mr. Lafferty Maths Dept.**Fractions Percentages Decimals**Q. Change the fractions to decimals www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions Percentages Decimals**Q. Change the decimals to percentages www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions Percentages Decimals**Q. Change the percentages to fractions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions Percentages Decimals**Q. Change the percentages to decimals www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Fractions Percentages Decimals**Now try Ex 6.1 Page 341 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Level E Starter Questions**www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Percentages**Learning Intention Success Criteria • To know the fractions of basic simple percentages. 1. To explain some simple percentages. • Calculate simple percentage mentally. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Percentages**Copy down and learn the following basic percentages = one half = one tenth = half of 10% = one hundredth = half of 1 % Compiled by Mr. Lafferty Maths Dept.**Percentages**Q. Find 16% of £40 Compiled by Mr. Lafferty Maths Dept.**=**0 1 0 1 7 4 5 0 76.5 x of means MULTIPLY Percentages Q. Find 17% of £450 Remember money 2 decimal places Calculator Keys Compiled by Mr. Lafferty Maths Dept.**=**0 1 0 4 7 0 2.8 x of means times Percentages Q. Find 4% of £70 Remember money 2 decimal places Calculator Keys Compiled by Mr. Lafferty Maths Dept.**Percentages**Now try Ex8.1 Page 345 Compiled by Mr. Lafferty Maths Dept.**Percentages**Q. Find 17.5% of £1200 Compiled by Mr. Lafferty Maths Dept.**Percentages**Now try Ex 8.2 Page 346 Compiled by Mr. Lafferty Maths Dept.**Level E Starter Questions**www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Proper Fractions and Mixed Numbers**Learning Intention Success Criteria • To know the terms proper fraction, mixed number and improper fraction. 1. To explain the terms proper fraction, mixed number and improper fraction and convert between them. • Convert between improper fraction and mixed number. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.**Proper Fractions and Mixed Numbers**How many halves are there in = = Compiled by Mr. Lafferty Maths Dept.**Proper Fractions and Mixed Numbers**Is called a proper fraction. ( Numerator is less than denominator ) Is called a mixed fraction. ( whole number and a fraction ) Is called a improper fraction. ( Numerator bigger than denominator ) Compiled by Mr. Lafferty Maths Dept.**Proper Fractions and Mixed Numbers**Converting mixed fractions to improper fractions Compiled by Mr. Lafferty Maths Dept.**Proper Fractions and Mixed Numbers**Other way round improper fractions to mixed fractions Compiled by Mr. Lafferty Maths Dept.**Proper Fractions and Mixed Numbers**Now try Ex 9.1 Ch15 page 348 Compiled by Mr. Lafferty Maths Dept.