1. Fractions, Percents, Ratios
UNIT 6
Fractions, Percents, Ratios

2. Fractions, Percents, Ratios
Mixed and Improper Fractions (Page )
Converting Mixed and Improper Fractions (Page )
Comparing Mixed and Improper Fractions (Page )
Part to Part and Part to Whole Ratios (Page )
Equivalent Ratios (Page )
Percents (Page )
Comparing Percents, Decimals, and Fractions (Page )

3. Mixed and Improper Fractions (Page 162-165)
What is a fraction?
It is part of a whole. If I have one cookie and eat half of it then I have ½ of a whole cookie. Notice the smaller number is on top.

4. Mixed and Improper Fractions (Page 162-165)

5. Mixed and Improper Fractions (Page 162-165)

6. Mixed and Improper Fractions (Page 162-165)
What is a mixed number?
It’s when you see a whole number and a fraction together. If I have 2 cookies and I eat half of one then I have 1 and ½ cookies left. 1½ is a mixed number.
Count how many wholes you have and then count the fraction.

7. Practice
Draw 3¼, 5½, 2⅛, 4⅖

8. Mixed number Practice PAT question

9. Mixed and Improper Fractions (Page 162-165)
What is an improper fraction? A fraction that has a larger numerator than denominator. Which means they are bigger than 1(whole.) Fractions shouldn’t be larger than a whole that’s what makes them improper.

11. Practice
Draw: 13/4, 9/3, 4/3

12. Improper Fraction Example PAT question

13. Assignment
Textbook page , questions 1-6

14. Converting Mixed and Improper Fractions (Page 166-169)

15. Converting Mixed and Improper Fractions (Page 166-169)

16. Converting Mixed and Improper Fractions (Page 166-169)
To change a mixed number to an improper fraction you multiply the whole number by the denominator and add the numerator. The answer is your new numerator.
Remember you always keep your original denominator.

17. Practice

18. Converting mixed numbers to improper fractions Example PAT question

19. Assignment
Textbook page , questions 1-7
Worksheet

20. Comparing Mixed and Improper Fractions (Page 171-175)
What if you are asked to change an improper fraction to a mixed number?
Use long division and whatever your remainder is becomes the new numerator. Denominator always stays the same.

21. Comparing Mixed and Improper Fractions (Page 171-175)

22. Comparing Mixed and Improper Fractions (Page 171-175)

23. Practice

24. Improper fractions to mixed numbers Example PAT Question

25. Assignment
Worksheet

26. Comparing Mixed and Improper Fractions (Page 171-175)
Finding equivalent fractions
Equivalent fractions represent the same amount or are equal. Example ½ and 2/4
If you had a pizza and cut it in two and ate half would it look the same if you took a same pizza cut into 4 and ate 2 pieces? Draw it out

27. Equivalent Fractions
The easiest way to find equivalent fractions to to multiply the denominator and numerator by the same number.
Or you can divide the numerator and denominator by the same number

28. Equivalent Fractions

29. 1 Practice Find 3 equivalent fractions to
Find equivalent fractions so that the fractions in this pair have the same denominator and
Reduce the following fractions (Hint: Divide) 1

30. Remember
**Remember if you are looking at a mixed number then the whole number stays the same you only change the fraction.**
**When comparing fractions ALWAYS compare mixed number with mixed number and/or improper fractions with improper fractions**

31. Comparing Fractions Example PAT question

32. Assignment
Textbook page , questions 1-10

33. Part to Part and Part to Whole Ratios (Page 176-179)
Part to part ratios: These compare to groups to each other. Girls to boys in the class is an example of part to part ratio. Let’s say there are 15 girls and 7 boys. These ratios can be written two ways: 15: or to 7

34. Part to Part and Part to Whole Ratios (Page 176-179)
Part to whole ratios: These compare part to the whole. For example girls to all student in the class. Let’s say there are 15 girls and 7 boys. Well how many students totally are there? = 22.
These ratios can be written three ways:
15:22 or 15 to 22 or as a fraction 15/22
**You can only represent a ratio using a fraction if you are comparing part to whole.**

35. Practice What is the ratio of stars to squares?
What is the ratio of triangles to all shapes?
What is the ratio of circles to stars?
What is being compared when in the ratio 2:14?
What is being compared when in the ratio 5 to 4?

36. Ratios Example PAT Questions

37. Ratios Example PAT Questions

38. Assignment
Textbook page , questions 1-10

39. Equivalent Ratios (Page 180- 183)
Just like finding equivalent fractions. Same rules apply. The easiest way is to multiply both numbers in the ratio by the same number.
3 : x 2 and 4 x 2= : 8
Divide to find equivalent or to reduce the ratio
15 : ÷ 5 and 20 ÷ 5 = 3 : 4

40. Equivalent Ratios (Page 180- 183)

41. Practice Find 4 equivalent ratios for 5:6
Find equivalent ratios for the following ratios where one of the terms is 50
3 : to : to 2
Reduce the following ratios:
8: : : :90

42. Equivalent Ratio Example PAT Question
A recipe for punch calls for 9L of sprite, 6L of orange juice, and 3L of cranberry juice.
Sally doesn’t have many friends coming to her party so she doesn’t want to make that much punch, she only uses 3L of sprite. How much orange juice and cranberry juice should she be using?

43. Assignment
Textbook page , questions 1-9

44. Percents (Page )
Changing fractions to decimals: dived the numerator by the denominator
Changing fractions to percent: divide the numerator by the denominator and multiply by 100
If you don’t have a calculator some percents and decimals are easy to figure out. Can your denominator to changed to 100 by multiplying it by a number? (Whatever you do to the bottom you have to do to the top)
X 10 80
Once your denominator is 100 you can just look at your numerator for your percent and decimal. 80% or .80
__________
100

45. Percents
Let’s look at fractions, decimals, and percent using a hundredths grid.
Why is this grid 78% yellow?
Why are
these 2 red
grids different?

46. Practice
What is the percent, fraction, and decimal of the green part of the grid? What is the percent, fraction, and decimal of the white?
Write 84% as a decimal and fraction
Write 0.04 as a percent and a fraction
Write 30/50 as a percent and decimal

47. Percent, Decimal, Fraction Example PAT questions

48. Percent, Decimal, Fraction Example PAT questions

49. Assignment
Textbook page , questions 1, 2 ,4, 5, 6, 7, 8, 9

50. Comparing Percents, Decimals, and Fractions (Page 190-193)
Textbook page , questions 1-10

51. GAMES http://mathsnacks.com/ratio-rumble.html