5 Minute Check Simplify 1. 1 4 2 2. 3 3 3. 3 5 5 4. 4 1 4

5 Minute Check Simplify 1. 1 4 2

5 Minute Check Simplify 1. 1 4 2 1 4 ÷ 2 1 1 4 · 1 2 = 1 8

5 Minute Check Simplify 2. 3 2 3

5 Minute Check Simplify 2. 3 2 3 3 1 ÷ 2 3 3 1 · 3 2 = 9 2 = 4 1 2

5 Minute Check Simplify 3. 3 5 5

5 Minute Check Simplify 3. 3 5 5 3 5 ÷ 5 1 3 5 · 1 5 = 3 25

5 Minute Check Simplify 4. 4 1 4

5 Minute Check Simplify 4. 4 1 4 4 1 ÷ 1 4 4 1 · 4 1 = 16

Lesson 7.1.3 Convert Unit Rates Tuesday, Jan 6 Lesson 7.1.3 Convert Unit Rates

Solve One-Step Inequalities

Solve One-Step Inequalities

Solve One-Step Inequalities

Solve One-Step Inequalities

Solve One-Step Inequalities

Solve One-Step Inequalities

Solve One-Step Inequalities

Solve One-Step Inequalities

Solve One-Step Inequalities

Solve One-Step Inequalities

Convert Unit Rates Objective: To convert units of measure between derived units to solve problems.

Convert Unit Rates The relationships among some commonly used customary and metric units are shown in the tables below.

Convert Unit Rates Each of the relationships in the tables can be written as a unit ratio. A unit ratio, like a unit rate, has a denominator of one unit.

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? How to Convert Unit Rates Step 1 – Write the complete rate as a fraction with units .

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 1 s How to Convert Unit Rates Step 1 – Write the complete rate as a fraction with units .

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 1 s How to Convert Unit Rates Step 2 – Determine the units of the answer and write as a fraction.

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft in 1 s = 1 s How to Convert Unit Rates Step 2 – Determine the units of the answer and write as a fraction. Leave space for the conversion rate.

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft in 1 s = 1 s How to Convert Unit Rates Step 3 – Determine the units of the conversion rate(s). Leave space for the conversion rate.

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft in in 1 s ft = 1 s How to Convert Unit Rates Step 3 – Determine the units of the conversion rate(s). conversion rate .

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft in in 1 s ft = 1 s The conversion rate units are determined by the original rate units and the answer units. In the above case, we need to cancel the “ft” units and replace with “in” units. Notice the conversion rate has “ft” in the denominator, so it will cancel the “ft” of the original rate. conversion rate .

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft in in 1 s ft = 1 s How to Convert Unit Rates Step 4 – Complete the conversion rate(s). Eg. How many inches in how many feet? conversion rate.

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 12 in in 1 s 1 ft = 1 s How to Convert Unit Rates Step 4 – Complete the conversion rate(s). conversion rate.

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 12 in in 1 s 1 ft = 1 s How to Convert Unit Rates Step 5 – Multiply and cancel units.

Convert Unit Rates A remote control car travels at a rate of 10 feet per second. How many inches per second is this? 10 ft 12 in 120 in 1 s 1 ft = 1 s How to Convert Unit Rates Step 5 – Multiply and cancel units.

Convert Unit Rates A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? Step 1 - ?

Convert Unit Rates A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? 60 mile 1 h Step 2 - ?

Convert Unit Rates A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? 60 mile ft 1 h = 1 h Step 3 – ?

Convert Unit Rates A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? 60 mile ft ft 1 h mile = 1 h Remember – we want to cancel the “mile” unit in the numerator of the original rate. In order to do so, the conversion rate must have a “mile” unit in the denominator. Step 4 – ?

Convert Unit Rates A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? 60 mile 5280 ft ft 1 h 1 mile = 1 h How many feet in how many miles? Step 5 – ?

Convert Unit Rates A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this? 60 mile 5280 ft 316, 800 ft 1 h 1 mile = 1 h

Convert Unit Rates A gull can fly at a speed of 22 miles per hour. How many feet per hour can the gull fly? Do this on your own.

Convert Unit Rates A gull can fly at a speed of 22 miles per hour. How many feet per hour can the gull fly? 22 miles 5280 ft 116,160 ft 1 h 1 mile = 1 h

Convert Unit Rates An AMTRAK train travels at 125 miles per hour. Convert the speed to miles per minute. Round to the nearest tenth. Do this on your own.

Convert Unit Rates An AMTRAK train travels at 125 miles per hour. Convert the speed to miles per minute. Round to the nearest tenth. 125 miles 1 h 2.1 miles 1 h 60 min = 1 min

Convert Unit Rates Marvin is walking at a speed of 7 feet per second. How many feet per hour is this? Do this on your own.

1 s 1 min = 1 min Convert Unit Rates Marvin is walking at a speed of 7 feet per second. How many feet per hour is this? 7 ft 60 s 420 ft 1 s 1 min = 1 min 420 ft 60 min 25,200 ft 1 min 1 h = 1 h Or you can create one large conversion rate…

1 s 1 min · 1 h = 1 h Convert Unit Rates Marvin is walking at a speed of 7 feet per second. How many feet per hour is this? 7 ft 60 s · 60 min 25,200 ft 1 s 1 min · 1 h = 1 h

Convert Unit Rates The average speed of one team in a relay race is10 miles per hour. What is the speed in feet per second? Round to the nearest tenth. Do this on your own.

Convert Unit Rates The average speed of one team in a relay race is10 miles per hour. What is the speed in feet per second? Round to the nearest tenth. 10 miles 5280 ft 52,800 ft 1 h 1 mile = 1 h 52,800 ft 1 h 880 ft 1 min 14.7 ft 1 h 60 min = 1 min 60 s = 1 s Or you can create one large conversion rate…

Convert Unit Rates The average speed of one team in a relay race is10 miles per hour. What is the speed in feet per second? Round to the nearest tenth. 10 miles 5280 ft · 1 h · 1 min 14.7 ft 1 h 1 mile · 60 min · 60 s = 1s

Convert Unit Rates Johanna’s parents give her $10 per week for lunch money. When you convert 100 ft per second to inches per second, will there be more or less than 100 inches? Explain.

Convert Unit Rates Johanna’s parents give her $10 per week for lunch money. When you convert 100 ft per second to inches per second, will there be more or less than 100 inches? Explain. More; Since inches are smaller than feet, it will take more inches to make equivalent rates.

Convert Unit Rates Johanna’s parents give her $10 per week for lunch money. If 1 yard is equal to 0.91 meters, convert 7 meters per minute to yards per hour. Round to the nearest tenth.

Convert Unit Rates Johanna’s parents give her $10 per week for lunch money. If 1 yard is equal to 0.91 meters, convert 7 meters per minute to yards per hour. Round to the nearest tenth. 7 meter .91 meter ? yd = 1 yd 7 meters = 7.7 yds 7.7 yd 7.7 yd 60 min 462 yd 1 min = 1 min 1 h = 1 h

Convert Unit Rates Agenda Notes Homework – Homework Practice 7.1.3 Due Wednesday, Jan 7 You can use the table in slide 22 , if needed. Mid-Chapter 7.1 Quiz - Thursday, Jan 8