S1_Level_E_Ch6_Fractions

# S1_Level_E_Ch6_Fractions - Fractions Simplifying Fractions

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Unformatted text preview: Fractions Simplifying Fractions www.mathsrevision.com Fractions of a quantity Percentages Finding a Percentage (Calculator) Finding (Simple) Percentages More Simple Percentages 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions 1. 2. Find t he missing value W hat f ract ion is x: 3 ? = 4 20 www.mathsrevision.com X 3. 4. W hat is t he coordinat e C(- 2,- 2) ref lect ed in t he x- axis? I f you know t he lengt h of t he side of a square describe in words what you do t o calculat e t he perimet er. Compiled by Mr. Lafferty Maths Dept. 13 Feb 2012 Fractions Learning Intention Success Criteria 1. To know what the terms fraction. www.mathsrevision.com 1. To understand the term Fraction and be able to simplify fraction. 2. Be able to simply fractions. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Fractions A Fraction consists of 2 parts. www.mathsrevision.com 3 5 Top number is called the numerator Bottom number is called the denominator 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Fractions 2 4 Write down the fraction that is shaded in light blue. www.mathsrevision.com 3 6 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Fractions It is possible to find a fraction equivalent to any fraction that you have by multiplying the numerator and the denominator by any number. Find a fraction equivalent to : www.mathsrevision.com 2 4 13 Feb 2012 x3 6 = x3 12 Compiled by Mr. Lafferty Maths Dept. 1 5 x2 2 x2 = 10 Fractions We can sometimes simplify a fraction by finding a HCF between the numerator and denominator. Simplify the fractions below : www.mathsrevision.com 2 2 4 2 1 = 2 1 3 = 3 4 12 3 Compiled by Mr. Lafferty Maths Dept. 13 Feb 2012 Fractions Now try Exercise 1 Ch6 Q8 (page 69) www.mathsrevision.com 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions 1. Calculat e t he perimet er 5cm 7cm www.mathsrevision.com 2. 3. 4. 13 Feb 2012 12 Simplif y 84 25. 92 + 7. 9 1 of 12 4 Compiled by Mr. Lafferty Maths Dept. Fractions of a quantity Learning Intention Success Criteria 1. To know the 2 step for finding a fraction of a quantity. 2. Be able to calculate the fraction of a quantity. www.mathsrevision.com 1. To explain the 2 step process of finding a fraction of a quantity. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Fractions of a quantity Q. Do the calculations below. www.mathsrevision.com 1 2 of 120 60 2 12 0 1 4 of 120 30 4 12 0 Simply divide by the bottom number 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Fractions of a quantity Q. Do the calculation below. www.mathsrevision.com 2 3 of 24 Simply divide by the bottom number Then multiply the answer by the top number Step 1: 13 Feb 2012 8 3 24 Step 2: Compiled by Mr. Lafferty Maths Dept. 8 x 2 = 16 Fractions of a quantity Q. Do the calculation below. www.mathsrevision.com 5 8 of 360 Simply divide by the bottom number Then multiply the answer by the top number Step 1: 13 Feb 2012 45 8 360 Step 2: Compiled by Mr. Lafferty Maths Dept. 4 5 x 5 = 2 2 5 Fractions of a quantity www.mathsrevision.com Now try Exercise 2 Ch6 Q3, 4, 5 (page 70) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions 1. Find t he LCM of 2 and 3 Find HCF of 4 and 1 Find www.mathsrevision.com 2. 3. 4 o f 12 0 5 4. 13 Feb 2012 85 Simplif y 200 Compiled by Mr. Lafferty Maths Dept. Percentages Learning Intention Success Criteria 1. To understand the term percentage. www.mathsrevision.com 1. To explain what the term percentage means and how it is connected to a fraction and a decimal. 2. Understand connection between percentage, fraction and decimal. 3. Find a percentage of a quantity. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. 31 out of a 100 Percentages www.mathsrevision.com When a shape is divided into 100 `bits' each bit is called " 1 percent" 31 % means 7 % means 31 = 0 .3 1 10 0 7 = 0 .0 7 10 0 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. 7 out of a 100 Percentages Q. Write down the following as a fraction and a decimal. www.mathsrevision.com 27 = 0 .2 7 27% = 10 0 15 = 0 .15 15% = 10 0 2% 13 Feb 2012 = 2 = 0 .0 2 10 0 Compiled by Mr. Lafferty Maths Dept. Percentages Q. Change the fractions to percentages www.mathsrevision.com 1 2 7 10 Simply do the division then multiply by 100 Step 1: Step 2: 13 Feb 2012 0 .5 2 1.0 0 .5 x 10 0 = 5 0 % Step 1: Step 2: 0 .7 10 7 .0 0 .7 x 10 0 = 7 0 % Compiled by Mr. Lafferty Maths Dept. Percentages Q. Paul scored 24 out of 30 in English and 36 out of 40 in Maths. Find percentage of each and say which he is best at? Simply do the division then multiply by 100 Step 1: Step 2: 13 Feb 2012 www.mathsrevision.com 24 30 0 . 8 x 10 0 = 8 0 % Step 1: Step 2: Maths 36 40 0 .9 x 10 0 = 9 0 % Compiled by Mr. Lafferty Maths Dept. Percentages www.mathsrevision.com Now try Exercise 3 Ch6 (page 71 Q4, 5) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions www.mathsrevision.com 1. Find t he area and perimt er of a square wit h lengt h 3 cm. Calculat e 60% of 300 Writ e 35% as a f ract ion and a decimal. 2. 3. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Percentages (Calculator) Learning Intention Success Criteria 1. Use a calculator to calculator. 2. Show all working. www.mathsrevision.com 1. To understand how to calculate a percentage using a calculator. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. of means times Percentages Q. Find 17% of 450 www.mathsrevision.com 17 4 5 0 10 0 17 1 13 Feb 2012 Remember money 2 decimal places 10 0 x 4 5 0 Calculator Keys 1 0 0 x = 76.50 4 5 0 = 76.5 7 Compiled by Mr. Lafferty Maths Dept. of means times Percentages Q. Find 4% of 70 www.mathsrevision.com 4 7 0 10 0 4 4 13 Feb 2012 Remember money 2 decimal places Calculator Keys 1 0 10 0 x 7 0 0 x = 2.80 7 0 = 2.8 Compiled by Mr. Lafferty Maths Dept. Percentages www.mathsrevision.com Now try Exercise 4 Ch6 (page 72) First Column ONLY 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions 1. www.mathsrevision.com Calculat e 45. 6 x 7 2. 3. 4. 13 Feb 2012 15 Simplif y 100 Find 20% of 700 Find LCM and HCF f or 4 and 20 Compiled by Mr. Lafferty Maths Dept. Simple Percentages Learning Intention Success Criteria 1. To know the simple percentages. www.mathsrevision.com 1. To explain some simple percentages. 2. Calculate simple percentage without a calculator. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Simple Percentages Copy down and learn the following basic percentages www.mathsrevision.com 10 0 % 5 0 % 33 1 % 3 2 5 % 2 0 % 10 % 5 % 1% 1 4 1 5 1 1 2 1 3 1 10 1 1 2 0 10 0 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Percentages Q. Find 25% of 40 www.mathsrevision.com 1 4 0 4 4 0 4 = 10 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Percentages Q. Find 5% of 300 www.mathsrevision.com 1 3 0 0 20 3 0 0 2 0 = 15 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Simple Percentages www.mathsrevision.com Now try Exercise 5 Ch6 (page 74) Columns ONLY 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions 1. www.mathsrevision.com Calculat e 1200 Simplif y 300 2. 3. 4. 13 Feb 2012 75 200 Find 10% of 65 Find LCM and HCF f or 7 and 35 Compiled by Mr. Lafferty Maths Dept. Simple Percentages Learning Intention Success Criteria 1. To know the basic percentages. www.mathsrevision.com 1. To explain some more basic percentages. 2. Calculate basic percentage without a calculator. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Simple Percentages Copy down and learn the following basic percentages www.mathsrevision.com 10 0 % 50% 1 2 1 33 % 3 2 66 % 20% 3 40% 60% 80% 2 5 1 1 3 2 3 1 5 3 5 7 10 4 5 90% 9 10 10 % 3 0 % 7 0 % 1 10 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. 3 10 Percentages Q. Find 30% of 40 www.mathsrevision.com 3 4 0 10 4 0 10 x 3 = 12 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Percentages Q. Find 75% of 600 www.mathsrevision.com 3 6 0 0 4 6 0 0 4 x 3 = 4 5 0 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Simple Percentages www.mathsrevision.com Now try Exercise 6 Ch6 (page 76) Columns ONLY 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. ...
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## This note was uploaded on 02/13/2012 for the course MATH 116 200 taught by Professor Janet during the Spring '11 term at University of Phoenix.

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