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Starter Questions

Starter Questions. Multiply out the brackets and simplify: a) 4(x + 3) + 2 b) 3 + 2( x + 4) c) 10 + 2(3x + 4). 2. Find the highest common factor of: a) 8 and 12 b) 16 and 18 c) 18x and 24. 3. Factorise the following: a) 10p + 15q b) 8d – 12f c) 4a + 10b +14c. Fractions.

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Starter Questions

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  1. Starter Questions • Multiply out the brackets and simplify: • a) 4(x + 3) + 2 b) 3 + 2( x + 4) c) 10 + 2(3x + 4) 2. Find the highest common factor of: a) 8 and 12 b) 16 and 18 c) 18x and 24 3. Factorise the following: a) 10p + 15q b) 8d – 12f c) 4a + 10b +14c

  2. Fractions Learning Intention • To understand the term Fraction and be able to simplify fraction.

  3. Top number is called the numerator 3 5 Bottom number is called the denominator Fractions A Fraction consists of 2 parts. The denominator tells us the type of fractionwe have The numerator tells us the how manywe have

  4. 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 : x2 x3 x2 x3

  5. Fractions We can sometimes simplify a fraction by finding a HCF between the numerator and denominator. Simplify the fractions below : ÷3 ÷2 ÷3 ÷2

  6. Fractions of a quantity Learning Intention • To explain the 2 step process of finding a fraction of a quantity.

  7. Fractions of a quantity Q. Do the calculations below. of 120 of 120 Simply divide by the bottom number

  8. Fractions of a quantity Q. Do the calculation below. of 24 Simply divide by the bottom number Then multiply the answer by top number Step 1: Step 2:

  9. Fractions of a quantity Q. Do the calculation below. of 360 Simply divide by the bottom number Then multiply the answer by top number Step 1: Step 2:

  10. Simple Percentages Learning Intention • To understand how to calculate simple percentages without a calculator.

  11. of means times = 0 1 0 1 7 4 5 0 76.5 x Percentages Remember money 2 decimal places Q. Find 17% of £450 = £76.50 Calculator Keys

  12. Simple Percentages Copy down and learn the following basic percentages

  13. Percentages Q. Find 25% of £40

  14. Percentages Q. Find 5% of £300

  15. Extended Percentages Copy down and learn the following basic percentages

  16. Extended Percentages Q. Find 30% of £40

  17. Extended Percentages Q. Find 75% of £600

  18. Add / Sub Fractions Learning Intention • To understand how to add and subtract basic fractions.

  19. A fraction, like, where the numerator is bigger than the denominator is called a ‘Top-Heavy’ fraction. A number,like, consisting of a ‘whole number’ part and a ‘fraction’ part is called a Mixed fraction Fractions

  20. Top Heavy to Mixed means seven thirds

  21. remainder 1 Top Heavy to Mixed NUMERATOR  DENOMINATOR can be written as 7  3

  22. remainder 2 Top Heavy to Mixed NUMERATOR  DENOMINATOR can be written as 17  5

  23. Mixed to Top Heavy WHOLE NUMBER  DENOMINATOR then add NUMERATOR Changing a mixed fraction to a top-heavy. 5  4  3  23 quarters 7  5  2  37 fifths

  24. Top Heavy to Mixed Examples

  25. Top Heavy to Mixed Examples

  26. Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part

  27. Harder Fractions Learning Intention • To understand how to add and subtract fractions with different denominators.

  28. We are going to use the kiss and smile method Harder Fractions How can we add /subtract fractions that have different denominators Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify

  29. Harder Fractions Step 1 : Do the smile Step 2 : Do the kiss 4 2 + 8 Example 1 Step 3 : Add/Subtract the numerator and simplify ÷2 ÷2

  30. Harder Fractions Step 1 : Do the smile Step 2 : Do the kiss 25 6 - 30 Example 1 Step 3 : Add/Subtract the numerator and simplify

  31. Harder Fractions General Step 1 : Do the smile Step 2 : Do the kiss 20 18 + 24 Example 1 Step 3 : Add/Subtract the numerator and simplify ÷2 ÷2

  32. Harder Fractions How can we add /subtract mixed fractions that have different denominators Simple ! When dealing with mixed fractions deal with ‘whole’ part first then the fraction part

  33. Harder Fractions 3 4 + 6

  34. Harder Fractions 21 16 - 24

  35. Most Difficult Fractions 18 20 + 24

  36. Subtracting Fractions 3 8 - 12

  37. Most Difficult Fractions 6 5 - 30

  38. Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part

  39. Multiplying Fractions Learning Intention To show how to multiply basic fractions.

  40. Multiplying Fractions Multiplying basic fractions 1. Multiply the numerators 2. Multiply the denominators Example 1 Example 2

  41. Multiplying Fractions Multiplying basic fractions Example 3 Example 4

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