S2 (2.2) L3 Fractions.notebook September 24, 2015
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1 Daily Practice Q1. Round to 1 decimal place Q2. Find 45% of 800 Q x 600 Today we will be learning how to convert improper fractions into mixed numbers. Homework Due Friday. Q (2 x 6) Q5. Factorise 3xh + 15h Improper Fractions and Mixed Numbers Improper Fractions and Mixed Numbers An improper fraction (top heavy) is a fraction in which the numerator is greater than the denominator. e.g. A mixed number is a number with a fraction beside it e.g. Examples: Convert the following improper fractions into mixed numbers (a) (b) (c) Improper Fractions and Mixed Numbers Daily Practice Q1. Find 19% of 700 Q2. Write as a mixed number Q3. Calculate the speed Jason travels at if he travels 40km in 2 hours 15mins Q (2 x 18) Q5. Find of 36
2 Improper Fractions and Mixed Numbers Today we will be continuing to learn to convert mixed numebrs into improper fractions and vice versa. Examples: Convert the following Mixed Numbers into Improper Fractions (a) (b) (c) Homework Due Friday. Improper Fractions and Mixed Numbers Page 130 Q9 onwards I can convert improper fractions into mixed numbers. Success? I can convert mixed numbers into improper fractions. Matching Task Daily Practice Q1. Write 45 minutes as a decimal of hours Q2. How long is it between 13:15 and 16:05? Q Today we will be learning to add and subtract fractions. Homework Due! Q4. Find of 190 Q5. Write as an improper fraction
3 Adding and Subtracting Fractions Reminder: Fractions can only be added/subtracted if they have the same denominator. E.g.
4 Adding and Subtracting Fractions Work out the following. Give your answer as a mixed number when possible and simplify when possible. Daily Practice Q1. Round to the nearest unit 7cm Q2. Calculate the volume of this cuboid Q3. Write as an improper fraction 6cm 2cm Q4. 3cm Q5. Calculate the area of the shape shown 7cm Adding and Subtracting Fractions What happens when we don't have the same denominator? Use the LCM to find a common denominator! Today we will be learning how to add and subtract fractions with different denominators. Examples: Adding and Subtracting Fractions Complete the following questions, simplifying your answer where possible Write the question. Show working! Daily Practice Q1. Multiply out 2(3k - 4) Q2. Factorise 6hm - 18h Q3. Write as a mixed number Q4. Round to 1 decimal place Q x 50 Pg. 133 Q2.
5 Today we will be continuing to learn how to add and subtract fractions but with mixed numbers. Adding and Subtracting Fractions with mixed numbers When given an adding/subtracting fractions sum with mixed numbers in it, convert them to improper fractions first. Examples: Adding and Subtracting Fractions with mixed numbers 1. Convert the mixed numbers into improper fractions. 2. Find the LCM of the denominators. 3. Make the fractions into their equivalents with the same denominator. 4. Add or subtract the fractions. 5. If your answer is an improper fraction, convert it back into a mixed number. Daily Practice Q1. Solve x + 14 = 41 Q2. Round to 1 decimal place Q3. Find 2 / 3 of 960 Today we will be continuing to practise adding and subtracting fractions. Q4. Q5. Factorise 5xh - 15
6 Adding and Subtracting Fractions with mixed numbers Questions: Write answer as a mixed number when possible Daily Practice Q1. Find 14% of 600 Q2. Multiply out and simplify 6(2c - 1) + 4c Q3. Q (2 x 20) Q5. If g = 4 and h = 2, what is the value of 3h - 2g? Multiplying fractions To multiply fractions, multiply the numerators together and multiply the denominators together. If you have mixed numbers, turn them into improper fractions first. L.I: Today we will be learning how to multiply fractions. S.C: I am able to multiply a fraction by a fraction even if one or both are mixed numbers. Examples: Multiplying Fractions
7 Wipe Boards Daily Practice Q1. Round to 1 decimal place Q2. Multiply out and simplify 3(2x - 1) + 4(x + 3) Q3. If a = -2 and b = 4, what is the value of 3a - b 2 Q4. Find 65% of 400 Q5. Dividing fractions To divide fractions, turn the second fraction upside down and then multiply. If you have mixed numbers, turn them into improper fractions first L.I: Today we will be learning how to divide fractions. Examples: S.C: I am able to divide two fractions, even if one or both have mixed numbers
8 Daily Practice Q1. Find 72% of 300 Q2. Q3. Factorise 4x 2 y + xy 2 Today we will be practising mixed questions on fractions. Homework Due Friday. Q4. If h = -1 and f = 2, what is the value of 2h 2 - f Q Daily Practice L.I: Today we will be learning to complete a checkup on Fractions. Test Unit 2 Level 3 - Monday Target Setting Personal Support Journal Page 40.
9 Daily Practice Mental Mathematics 20 Questions Today we will be going through the homework. Test is on Monday Topics for the test: Fractions to decimals and Percentages Percentages Algebra - Multiplying out, simplifying, factorising, substitution Area and Volume of shapes and composite shapes. Fractions - All operations with fractions
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