5 Minute Check Find the unit rate. Complete in your notes. 1. 34 miles in 2 hours. 2. 35 songs in 5 minutes 3. 45 baskets in 6 minutes 4. 18 miles in 30 minutes

5 Minute Check Find the unit rate. Complete in your notes. 1. 34 miles in 2 hours. 2. 35 songs in 5 minutes 3. 45 baskets in 6 minutes 4. 18 miles in 30 minutes

5 Minute Check Find the unit rate. Complete in your notes. 1. 34 miles in 2 hours.

5 Minute Check 34 miles 2 hours ÷ 2 2 = 17 miles 1 hour Find the unit rate. Complete in your notes. 1. 34 miles in 2 hours. 34 miles 2 hours ÷ 2 2 = 17 miles 1 hour

5 Minute Check Find the unit rate. Complete in your notes. 2. 35 songs in 5 minutes

5 Minute Check 35 songs 5 minutes ÷ 5 5 = 7 songs 1 minute Find the unit rate. Complete in your notes. 2. 35 songs in 5 minutes 35 songs 5 minutes ÷ 5 5 = 7 songs 1 minute

5 Minute Check Find the unit rate. Complete in your notes. 3. 45 baskets in 6 minutes

5 Minute Check Find the unit rate. Complete in your notes. 3. 45 baskets in 6 minutes 45 baskets 6 minutes ÷ 6 6 = 45÷6 1 minute = 7 1 2 baskets 1 minute

5 Minute Check Find the unit rate. Complete in your notes. 4. 18 miles in 30 minutes

5 Minute Check Find the unit rate. Complete in your notes. 4. 18 miles in 30 minutes 18 miles 30 minutes ÷ 30 30 = 18÷30 1 minute = 3 5 miles 1 minute

OST Test Prep Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $3.52. 1. What is the cost per ounce of the juice in the 48 ounce container? 2. What is the cost per ounce of the juice in the 64 ounce container? 3. Which container is the better buy? Justify your response.

OST Test Prep Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $3.52. 1. What is the cost per ounce of the juice in the 48 ounce container?

OST Test Prep $2.88 48 𝑜𝑢𝑛𝑐𝑒 ÷ 48 48 = $0.06 1 𝑜𝑢𝑛𝑐𝑒 Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $3.52. 1. What is the cost per ounce of the juice in the 48 ounce container? $2.88 48 𝑜𝑢𝑛𝑐𝑒 ÷ 48 48 = $0.06 1 𝑜𝑢𝑛𝑐𝑒

OST Test Prep Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $3.52. 2. What is the cost per ounce of the juice in the 64 ounce container?

OST Test Prep $3.52 64 𝑜𝑢𝑛𝑐𝑒 ÷ 64 64 = $0.055 1 𝑜𝑢𝑛𝑐𝑒 Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $3.52. 2. What is the cost per ounce of the juice in the 64 ounce container? $3.52 64 𝑜𝑢𝑛𝑐𝑒 ÷ 64 64 = $0.055 1 𝑜𝑢𝑛𝑐𝑒

OST Test Prep Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $3.52. 3. Which container is the better buy? Justify your response.

OST Test Prep Makayla wants to buy a carton of juice. She could buy a 48 ounce container for $2.88 or a 64 ounce container for $3.52. 3. Which container is the better buy? Justify your response. 64 ounces for $3.52 is the better buy because it costs less per ounce. $0.055 per ounce vs. $0.06 per ounce

How many cookies will fit?

How many cookies will fit? Questions to be answered: What do we know? What is a prediction that is too low? is too high? Can we make an accurate prediction or is there additional information that is needed to make a prediction?

How many cookies will fit?

How many cookies will fit?

How many cookies will fit?

How many cookies will fit?

Tuesday, Dec 13 Review Ratio Tables, Measurement Conversion and Equivalent Ratios (CH 1 – Lessons 4, 5 and 6 CH 4 – Lesson 5)

Ratio Tables, Measurement Conversion and Equivalent Ratios Ratios are equivalent if they simplify to the same ratio. 2 6 and 3 9 both simplify to 1 3 , so they are equivalent. Ratio tables use equivalent ratios just like proportions.

Ratio Tables, Measurement Conversion and Equivalent Ratios To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same shade? ?

Ratio Tables, Measurement Conversion and Equivalent Ratios To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same shade? We would need 30 drops of yellow.

Ratio Tables, Measurement Conversion and Equivalent Ratios Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. ?

Ratio Tables, Measurement Conversion and Equivalent Ratios Cans of corn are on sale at 10 for $4. Find the cost of 15 cans.

Ratio Tables, Measurement Conversion and Equivalent Ratios Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. ?

Ratio Tables, Measurement Conversion and Equivalent Ratios Cans of corn are on sale at 10 for $4. Find the cost of 15 cans. ?

Ratio Tables Generally, when completing a ratio table we use scaling. Scaling means multiplying or dividing all the numbers in the ratio by the same number. Simplifying is a form of scaling that uses division.

Ratio Tables, Measurement Conversion and Equivalent Ratios The ratio table shows how much you earn at your job. How many hours would you need to work to earn $176? Hours 5 8 15 Earnings $40 $64 $120 $176

Ratio Tables, Measurement Conversion and Equivalent Ratios The ratio table shows how much you earn at your job. How many hours would you need to work to earn $176? Hours 5 8 15 Earnings $40 $64 $120 $176

Ratio Tables, Measurement Conversion and Equivalent Ratios The ratio table shows how much you earn at your job. How many hours would you need to work to earn $176? Hours 5 8 15 Earnings $40 $64 $120 $176

Ratio Tables, Measurement Conversion and Equivalent Ratios The ratio table shows how much you earn at your job. How many hours would you need to work to earn $176? $40 5 hours ÷ 5 5 = $8 1 ℎ𝑜𝑢𝑟 $176 ÷ $8 = 22 hours Hours 5 8 15 Earnings $40 $64 $120 $176 If the numbers are friendly, you can convert to a unit rate!

Factors, Multiples, Ratios and Rates The ratio of tulips and roses in Katie’s garden is 2 to 3. If she has 12 tulips, how many roses are there?

Factors, Multiples, Ratios and Rates The ratio of tulips and roses in Katie’s garden is 2 to 3. If she has 12 tulips, how many roses are there? Tulips 2 12 Roses 3

Factors, Multiples, Ratios and Rates The ratio of tulips and roses in Katie’s garden is 2 to 3. If she has 12 tulips, how many roses are there? x 6 Tulips 2 12 Roses 3 18 x 6

Factors, Multiples, Ratios and Rates The ratio of tulips and roses in Katie’s garden is 2 to 3. If she has 12 tulips, how many roses are there? 2 tulips 3 roses = 12 tulips ? roses 3 x 12 = 36 ÷ 2 = 18 roses

Factors, Multiples, Ratios and Rates The ratio of boys to girls in the club is 6 to 7. How many boys are in the club if there are 21 girls?

Factors, Multiples, Ratios and Rates The ratio of boys to girls in the club is 6 to 7. How many boys are in the club if there are 21 girls? Boys 6 18 Girls 7 21 x 3

Factors, Multiples, Ratios and Rates The ratio of boys to girls in the club is 6 to 7. How many boys are in the club if there are 21 girls? 6 boys 7 girls = ? boys 21 girls 6 x 21 = 126 ÷ 7 = 18 boys Boys 6 18 Girls 7 21 x 3

Factors, Multiples, Ratios and Rates How many ounces are in 3 pounds?

Factors, Multiples, Ratios and Rates How many ounces are in 3 pounds? We can also use ratio tables to convert measurements. x 3 ounces 16 48 pounds 1 3 x 3

Factors, Multiples, Ratios and Rates 32 fluid ounces equal how many cups?

Factors, Multiples, Ratios and Rates 32 fluid ounces equal how many cups? x 4 cups 1 4 fluid ounces 8 32 x 4

Factors, Multiples, Ratios and Rates One-fourth mile is equal to how many feet?

Factors, Multiples, Ratios and Rates One-fourth mile is equal to how many feet? 5280 x 𝟏 𝟒 = 𝟓𝟐𝟖𝟎 𝟒 = 5280 ÷ 4 = 1320 feet x 𝟏 𝟒 mile 1 𝟏 𝟒 feet 5280

Ratio Tables, Measurement Conversion and Equivalent Ratios You can express information in a table as a set of ordered pairs. To see patterns, graph the ordered pairs on the coordinate plane.

Ratio Tables, Measurement Conversion and Equivalent Ratios The table shows Gloria’s earnings for 1,2 and 3 hours. Graph the ordered pairs (hours, earnings). Find the ordered pairs.

Ratio Tables, Measurement Conversion and Equivalent Ratios The table shows Gloria’s earnings for 1,2 and 3 hours. Graph the ordered pairs (hours, earnings). Graph the ordered pairs.

Ratio Tables, Measurement Conversion and Equivalent Ratios The table shows Gloria’s earnings for 1,2 and 3 hours. Graph the ordered pairs (hours, earnings). The points appear to be in a line. Each point is one unit to the right and 5 units up from the previous point. Her earnings increases by $5 for each hour.

Ratio Tables, Measurement Conversion and Equivalent Ratios You save $10 each week. Which graph shows this ratio? A. B. C.

Ratio Tables, Measurement Conversion and Equivalent Ratios You save $10 each week. Which graph shows this ratio? A. B. C. 𝟏𝟎 𝒘𝒆𝒆𝒌𝒔 $𝟏 $𝟓 𝒘𝒆𝒆𝒌 $𝟏𝟎 𝒘𝒆𝒆𝒌

Ratio Tables, Measurement Conversion and Equivalent Ratios Sometimes ratio table do not have the x and y numbers labeled. The question will state which measurement is the x number and which is the y number.

Ratio Tables, Measurement Conversion and Equivalent Ratios The table shows the number of quarters in a dollar. Graph the ordered pairs (dollars, quarters). Then describe the pattern in the graph. (dollars, quarters) (x, y)

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine if each pair of ratios or rates are equivalent. Explain your reasoning. 9 miles in 12 hours; 4 miles in 8 hours. Do this on your own.

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine if each pair of ratios or rates are equivalent. Explain your reasoning. 9 miles in 12 hours; 4 miles in 8 hours. 9 𝑚𝑖𝑙𝑒𝑠 12 ℎ𝑜𝑢𝑟𝑠 ≟ 4 𝑚𝑖𝑙𝑒𝑠 8 ℎ𝑜𝑢𝑟𝑠

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine if each pair of ratios or rates are equivalent. Explain your reasoning. 9 miles in 12 hours; 4 miles in 8 hours. 9 𝑚𝑖𝑙𝑒𝑠 12 ℎ𝑜𝑢𝑟𝑠 ≠ 4 𝑚𝑖𝑙𝑒𝑠 8 ℎ𝑜𝑢𝑟𝑠 9 x 8 = 72 4 x 12 = 48

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine if each pair of ratios or rates are equivalent. Explain your reasoning. 3 t-shirts for $21; 5 t-shirts for $35

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine if each pair of ratios or rates are equivalent. Explain your reasoning. 3 t-shirts for $21; 5 t-shirts for $35 3 𝑠ℎ𝑖𝑟𝑡𝑠 $21 = 5 𝑠ℎ𝑖𝑟𝑡𝑠 $35 3 x 35 = 105 5 x 21 = 105

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine which ratios are equivalent. 1. 200 miles in 5 hours; 600 miles in 20 hours 2. 200 miles in 5 hours; 600 miles in 10 hours 3. 200 miles in 5 hours; 800 miles in 10 hours 4. 200 miles in 5 hours; 800 miles in 20 hours

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine which ratios are equivalent. 1. 200 miles in 5 hours; 600 miles in 20 hours

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine which ratios are equivalent. 1. 200 miles in 5 hours; 600 miles in 20 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine which ratios are equivalent. 1. 200 miles in 5 hours; 600 miles in 20 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000 2. 200 miles in 5 hours; 600 miles in 10 hours

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine which ratios are equivalent. 1. 200 miles in 5 hours; 600 miles in 20 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000 2. 200 miles in 5 hours; 600 miles in 10 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine which ratios are equivalent. 1. 200 miles in 5 hours; 600 miles in 20 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000 2. 200 miles in 5 hours; 600 miles in 10 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000 3. 200 miles in 5 hours; 800 miles in 10 hours

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine which ratios are equivalent. 1. 200 miles in 5 hours; 600 miles in 20 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000 2. 200 miles in 5 hours; 600 miles in 10 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000 3. 200 miles in 5 hours; 800 miles in 10 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 800 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x800=4000

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine which ratios are equivalent. 1. 200 miles in 5 hours; 600 miles in 20 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000 2. 200 miles in 5 hours; 600 miles in 10 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000 3. 200 miles in 5 hours; 800 miles in 10 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 800 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x800=4000 4. 200 miles in 5 hours; 800 miles in 20 hours

Ratio Tables, Measurement Conversion and Equivalent Ratios Determine which ratios are equivalent. 1. 200 miles in 5 hours; 600 miles in 20 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x600=3000 2. 200 miles in 5 hours; 600 miles in 10 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 600 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x600=3000 3. 200 miles in 5 hours; 800 miles in 10 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 800 𝑚𝑖𝑙𝑒𝑠 10 ℎ𝑜𝑢𝑟𝑠 ;200x10=2000, 5x800=4000 4. 200 miles in 5 hours; 800 miles in 20 hours 200 𝑚𝑖𝑙𝑒𝑠 5 ℎ𝑜𝑢𝑟𝑠 ≟ 800 𝑚𝑖𝑙𝑒𝑠 20 ℎ𝑜𝑢𝑟𝑠 ;200x20=4000, 5x800=4000

Multiplying Fractions Agenda Notes Semester Review CH1b Due Wednesday, Dec 14 Chapter 1/2 Semester Quiz Friday, Dec 16 Last retake day this Thursday!