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5 Minute Check Complete on the back of your homework. Find the GCF for the following. 1. 10, 222. 9, 16 Find the LCM for the following. 3. 6, 154. 9, 12, 15

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5 Minute Check Find the GCF for the following. 1. 10, 22 10: 1, 2, 5, 10 22, 1, 2, 11, 22

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5 Minute Check Find the GCF for the following. 2. 9, 16

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5 Minute Check Find the GCF for the following. 2. 9, 16 9: 1, 3, 9 16: 1, 2, 4, 8, 16

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5 Minute Check Find the LCM for the following. 3. 6, 15

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5 Minute Check Find the LCM for the following. 3. 6, 15 6: 6, 12, 18, 24, 30, 36…… 15: 15, 30, 45……..

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

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

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

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Inquiry Lab

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How are the groups of counters in step 1 and step 2 related?

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Inquiry Lab How are the groups of counters in step 1 and step 2 related? The total number of counters are the same in both steps, they are just grouped differently.

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Inquiry Lab Complete page 16. The tables are just multiple lists.

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Inquiry Lab

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In step 2, why are you looking for a sum of 27?

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Inquiry Lab In step 2, why are you looking for a sum of 27? Because there are 27 total jerseys.

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Inquiry Lab Work with a partner to complete questions #1- 10 on page 17 and 18. You have 15 minutes. Since we do not have counters, use a drawing to represent counters. On #8 and #9 you make a multiples list on the number line.

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Inquiry Lab

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Monday, Aug 25 Lesson 6.1.2 Ratios

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Objective: To express ratios and rates as fractions.

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Ratios A ratio is a comparison of two quantities (numbers) by division and generally does not contain units.

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Ratios A ratio of 2 paper clips to 6 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. Write these in your notes

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

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Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) When determining ratios, the order of objects in the question is the same order as the ratio.

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Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) When determining ratios, the order of objects in the question is the same order as the ratio. Which object appear first in the question?

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Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 Which object appear next in the question?

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Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 white dots = 6

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

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Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 white dots = 6 Simplify a fraction by converting to prime factors.

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Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 = 3 white dots = 6 = 3 ∙ 2 Simplify a fraction by converting to prime factors.

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Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 = 3 = 1 white dots = 6 = 3 ∙ 2 = 2 Cancel a number if it appears on top and bottom of the fraction.

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Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 = 3 = 1 white dots = 6 = 3 ∙ 2 = 2 What does this mean?

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Ratios Write the ratio in simplest form that compares the numbers of black dots to the number of white dots. Then explain the meaning. (Draw this in your notes) black dots = 3 = 3 = 1 white dots = 6 = 3 ∙ 2 = 2 There is 1 black dot for every 2 white dots.

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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)

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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 dots4 2 · 2 2 yellow dots6 = 2 · 3 = 3 What does this mean?

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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 dots4 2 · 2 2 yellow dots6 = 2 · 3 = 3 This means there are 2 red dots for every 3 yellow dots.

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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. (Do this on your own)

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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?

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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.

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

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Ratios Write the ratio of pennies to dimes. Pennies 3 3 1 Dimes 9 = 3·3 = 3 What does this mean?

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

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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.)

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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 What does this mean?

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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 What does this mean? 1 out of every 3students chose strawberry yogurt.

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

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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

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

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

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Ratios Find the next number in the following pattern. Explain your reasoning. 12, 24, 72, 288, ?

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Ratios Find the next number in the following pattern. Explain your reasoning. 12, 24, 72, 288, 1440 x2 x3 x4 x5

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Ratios Agenda Notes Homework – Homework Practice 6.1.2 Due Tuesday, Aug 26 Circle the fraction in simplest form on homework. Mid-Chapter Quiz- Friday, Aug 29 Bring text books tomorrow.

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