5 Minute Check Find the LCM for the following. 1. 6, 15 2. 7, 9 3. 11, 5 4. 9, 12, 15

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

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

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 Minute Check Find the LCM for the following. 3. 11, 5

5 Minute Check Find the LCM for the following. 3. 11, 5 Since both numbers are prime the LCM is the product. 11 x 5 = 55

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

5 Minute Check Find the LCM for the following. 4. 9, 12, 15 9 12 15 4. 9, 12, 15 9 12 15 / \ / \ / \ 3 x 3 2 x 6 3 x 5 I / \ 2 x 2 x 3

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

Thursday, Sept 5 Lesson 1.2 Ratios

Ratios Objective: To express ratios and rates as fractions.

Ratios

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

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.

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)

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?

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?

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?

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)

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

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 3 3 1 white dots 6 = 2 · 3 = 2 Remember 3 = 3 x 1, when we cancel 3 on top a 1 remains.

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 3 3 1 white dots 6 = 2 · 3 = 2 What does this mean?

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 3 3 1 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.

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)

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.

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.

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)

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?

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 (9 + 8 + 3 + 1)

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 (9 + 8 + 3 + 1) What is the fraction?

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?

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 3 1 Total 21 = 3 · 7 = 7 What does this mean?

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 3 1 Total 21 = 3 · 7 = 7 What does this mean? 1 out of every 7 students chose fruit gum.

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

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

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.)

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.

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

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

OAA Review

OAA Review What are we looking for?

OAA Review What are we looking for? The GCF.

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

OAA Review

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

OAA Review

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)

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