Unit Rates with Fractions TeacherTwins©2014

Warm Up 1). What is the ratio of any pink shape to any purple shape? 2). What is the ratio of green squares to pink squares? 3). What is the ratio of pink squares to all circles? 5 to 2 or 5/2 or 5:2 1 to 4 or ¼ or 1:4 4 to 8 or 4/8 or 4:8 1 to 2 or ½ or 1:2 4). A faucet leaks 668 ml of water in 8 minutes. How many ml of water does the faucet leak per minute? 5). A recipe for 6 muffins calls for 360 grams of oatmeal. How many grams of oat meal are needed for each muffin? 83.5 ml per min. 60 grams per muffin

Unit Rates with Fractions Flippable

A unit rate is calculated by finding an equal ratio such that the denominator is 1.   To find the unit rate you divide your ratio or rate (divide the numerator by the denominator). When working with fractions you do the same thing. Julie ate one half of a pizza in 𝟑 𝟒 of an hour. At this rate, how long will it take her to eat the whole pizza? We are trying to find out how much pizza she will eat in one hour so we will divide pizza by hours. Don’t forget when you are dividing fractions you multiply by the reciprocal. 𝟏 𝟐 × 𝟒 𝟑 𝟏 𝟐 ÷ 𝟑 𝟒 = 𝟐 𝟑

𝟏 𝟐 ÷ 𝟏 𝟒 =𝟐 𝒎𝒊𝒍𝒆𝒔 𝒊𝒏 𝒐𝒏𝒆 𝒉𝒐𝒖𝒓. Example 1: Jacob walks ½ mile in ¼ hour. How far does he walk in one hour? We are trying to find out how many miles he walks in one hour so we will divide miles by hours. 𝟏 𝟐 ÷ 𝟏 𝟒 =𝟐 𝒎𝒊𝒍𝒆𝒔 𝒊𝒏 𝒐𝒏𝒆 𝒉𝒐𝒖𝒓.

Example 2: Caleb is painting his bedroom. It takes 1/3 gallon to cover 1/6 of a wall. How much paint is needed to cover the entire wall? We are trying to find out how much paint is needed to cover one wall so we will divide the paint by walls. 𝟏 𝟑 ÷ 𝟏 𝟔 =𝟐 𝒈𝒂𝒍𝒍𝒐𝒏𝒔 𝒐𝒇 𝒑𝒂𝒊𝒏𝒕 𝒇𝒐𝒓 𝒐𝒏𝒆 𝒘𝒂𝒍𝒍.

Example 3: A brownie recipe requires 1/3 cup of sugar for 1/4 batch of brownies. How much sugar is needed for a whole batch of brownies? We are trying to find out how much sugar is needed for one batch of brownies so we will divide the sugar by the batch of brownies. 𝟏 𝟑 ÷ 𝟏 𝟒 = 𝟒 𝟑 𝒐𝒓 𝟏 𝟏 𝟑 𝒄𝒖𝒑𝒔 𝒐𝒇 𝒔𝒖𝒈𝒂𝒓 𝒇𝒐𝒓 𝒐𝒏𝒆 𝒃𝒂𝒕𝒄𝒉 𝒐𝒇 𝒃𝒓𝒐𝒘𝒏𝒊𝒆𝒔.

𝟑 𝟏 𝟑 𝒄𝒖𝒑 𝒐𝒇 𝒇𝒍𝒐𝒖𝒓 𝒇𝒐𝒓 𝒐𝒏𝒆 𝒍𝒐𝒂𝒇 𝒐𝒇 𝒃𝒓𝒆𝒂𝒅 Practice Solve each problem below. 1). Susie ran 𝟐 𝟑 of a mile in 𝟏 𝟐𝟎 of an hour. What was Susie’s rate of speed? 2). Jack made a half of a loaf of bread. He used 𝟏 𝟐 𝟑 cup of flour. How much flour will he need for a whole loaf of bread? 3). Mr. Jones is waxing the gym floor. He used 𝟑 𝟓 gallon of wax on 𝟐 𝟑 of the floor. How much wax will he use for the whole floor? 4). Kim drove 𝟏𝟑 𝟏 𝟑 miles in 𝟏 𝟓 of an hour. How many miles did she drive in an hour? 13 𝟏 𝟑 mph 𝟑 𝟏 𝟑 𝒄𝒖𝒑 𝒐𝒇 𝒇𝒍𝒐𝒖𝒓 𝒇𝒐𝒓 𝒐𝒏𝒆 𝒍𝒐𝒂𝒇 𝒐𝒇 𝒃𝒓𝒆𝒂𝒅 𝟗 𝟏𝟎 𝒈𝒂𝒍𝒍𝒐𝒏 𝒇𝒐𝒓 𝒕𝒉𝒆 𝒇𝒍𝒐𝒐𝒓 66 𝟐 𝟑 𝒎𝒊𝒍𝒆𝒔 𝒊𝒏 𝒐𝒏𝒆 𝒉𝒐𝒖𝒓

Closure Explain how to solve the following problem: Jon walked 𝟐 𝟓 mile in 𝟏 𝟑 hour. How many miles will he walk in one hour if he continues at this rate?