1. 5 Minute Check
Find the LCM for the following. 1. 6, , , , 12, 15

2. 5 Minute Check
Find the LCM for the following. 1. 6, 15 6; 6, 12, 18, 24, 30, 36…… 15; 15, 30, 45……..

3. 5 Minute Check
Find the LCM for the following. 2. 7, 9

4. 5 Minute Check
Find the LCM for the following. 2. 7, 9 7; 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 …… 9; 9, 18, 27, 36, 45, 54, 63, 72……..

5. 5 Minute Check
Find the LCM for the following , 5

6. 5 Minute Check
Find the LCM for the following , 5 Since both numbers are prime the LCM is the product. 11 x 5 = 55

7. 5 Minute Check
Find the LCM for the following. 4. 9, 12, 15

8. 5 Minute Check Find the LCM for the following. 4. 9, 12, 15 9 12 15
, 12, 15
/ \ / \ / \
3 x x x
I / \
2 x 2 x 3

9. 5 Minute Check Find the LCM for the following. 4. 9, 12, 15
, 12, 15
3 x 5 x 2 x 2 x 3 = 180 5 3

10. Thursday, Sept 5
Lesson 1.2 Ratios

11. Ratios
Objective: To express ratios and rates as fractions.

12. Ratios

13. Ratios
A ratio is a comparison of two quantities by division.

14. Ratios
A ratio of 2 red paper clips to 6 blue paper clips can be written 3 different ways. 2 to 6 2:6 2 6 As with fractions, ratios are often expressed in simplest form.

15. Ratios
Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Write this in your notes)

16. Ratios
Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. When determining ratios, the order of objects in the question is the same order as the ratio. Since we are comparing black dots to white dots, black dots come first in the question. How many black dots are there?

17. Ratios
Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. How many black dots are there? 3 How many white dots are there?

18. Ratios
Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. How many black dots are there? 3 How many white dots are there? 6 How do we express this as a fraction?

19. Ratios
Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. How do we express this as a fraction? black dots 3 white dots 6 (Write this in your notes)

20. Ratios
Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. To reduce a fraction we can convert it to prime factors. black dots 3 3 white dots 6 = 2 · 3

21. Ratios
Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. Cancel a number if it appears on top and bottom of the fraction. black dots white dots 6 = 2 · 3 = 2 Remember 3 = 3 x 1, when we cancel 3 on top a 1 remains.

22. Ratios
Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. black dots white dots 6 = 2 · 3 = 2 What does this mean?

23. Ratios
Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. black dots white dots 6 = 2 · 3 = 2 What does this mean? It means the ratio of black dots to white dots is 1/2, 1:2 or 1 to 2. This means there is 1 black dot for every 2 white dots.

24. Ratios
Write the ratio in simplest form that compares the numbers of red dots to the number of yellow dots. Then explain the meaning. (Do this on your own)

25. Ratios
Write the ratio in simplest form that compares the numbers of red dots to the number of yellow dots. Then explain the meaning. red dots 4 2 · 2 2 yellow dots 6 = 2 · 3 = 3 The ratio of red dots to yellow dots is 2/3, 2:3 or 2 to 3. This means there are 2 red dots for every 3 yellow dots.

26. Ratios
Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students.

27. Ratios
Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. How many student chose fruit? (It is important you ask in the same order it appears in the question)

28. Ratios
Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. How many student chose fruit? 3 How many students are there?

29. Ratios
Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. How many student chose fruit? 3 How many students are there? 21 ( )

30. Ratios
Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. How many student chose fruit? 3 How many students are there? 21 ( ) What is the fraction?

31. Ratios
Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. What is the fraction? Fruit 3 Total 21 Can we reduce?

32. Ratios
Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. What is the fraction? Fruit Total 21 = 3 · 7 = 7 What does this mean?

33. Ratios
Several students named their favorite flavor of gum. Write the ratio that compares the number of who chose fruit to the total number of students. What is the fraction? Fruit Total 21 = 3 · 7 = 7 What does this mean? 1 out of every 7 students chose fruit gum.

34. Ratios
Write the ratio of pennies to dimes. (Do this on your own.)

35. Ratios
Write the ratio of pennies to dimes. Pennies Dimes 9 = 3·3 = 3 For every 1 penny there are 3 dimes.

36. Ratios
Monday’s yogurt sales are recorded on the table. Write the ratio that compares the sales of strawberry yogurt to the total sales. Then explain the meaning. (Do this on your own.)

37. Ratios
Monday’s yogurt sales are recorded on the table. Write the ratio that compares the sales of strawberry yogurt to the total sales. Then explain the meaning. Strawberry 8 2·2·2 1 Total 24 = 2·2·2·3 = 3 1 out of every 3students chose strawberry yogurt.

38. Ratios
Create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2:3.

39. Ratios
Create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2:3. 2:3 4:6 6: 9

40. OAA Review

41. OAA Review
What are we looking for?

42. OAA Review
What are we looking for? The GCF.

43. OAA Review
12: 1, 2, 3, 4, 6, 12 30: 1, 2, 3, 5, 6, 10, 15, 30

44. OAA Review

45. OAA Review
35:1, 5, 7, 35 56:1, 2, 4, 7, 8, 14, 28, 56 84:1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

46. OAA Review

47. OAA Review
Dramas 8 2·2·2 2·2 4 Action 6 = 2·3 = 3 = 3 4:3 (In ratios, we keep fractions as improper)

48. Ratios
Agenda Notes Homework – Homework Practice 1-2 Due Friday, Sept 6 On your homework – please circle the fraction in simplest form.