5 Minute Check Complete in your notebook. 1 1 1. 5 6 3 x3 2. 3 5 5 12 3 x5 5 Minute Check Complete in your notebook. 1 1 1. 5 6 3 x3 5 Minute Check Complete in your notebook. 1 1 1. 5 6 3 x3 16 5 x 19 6 = 304 30 4 30 =10 =10 2 15 5 Minute Check Complete in your notebook. 3 5 2. 5 12 3 x5 5 Minute Check Complete in your notebook. 3 5 2. 5 12 3 x5 18 5 x 65 12 = 1170 60 30 60 1 2 =19 =19 Friday, Oct 25 Lesson 4.5 Convert Measurement Units Convert Measurement Units Objective: To understand how to change units of measurement in the customary system Convert Measurement Units At the end of this lesson you should be able to answer the following question. How do you use ratios to convert units of measurement? Convert Measurement Units A relationship within the same type of unit of measurement can be written as a ratio. Example 1 yard = 3 feet can be written as 1 yard 3 feet Convert Measurement Units These ratios can be used to set up a proportion to solve measurement problems. Example 1 yard 6 yards 3 feet ? feet = Convert Measurement Units If you do not know these relationships, use the chart on page 290. This must be memorized by Monday for the quiz. Convert Measurement Units Convert 20 feet to inches. Step 1 – Identify the direct relationship between the units in the problem. 1 foot 12 inches 12 inches or 1 foot Convert Measurement Units Convert 20 feet to inches. Step 2 – Create a ratio from the numbers in the original problem. 20 feet ? inches ? inches or 20 feet Convert Measurement Units Convert 20 feet to inches. Step 3 – Create a proportion with the two ratios, making sure the same units are in the numerator on each ratio. 20 feet 1 foot ? inches 12 inches = Convert Measurement Units Convert 20 feet to inches. Step 4 – Multiply the diagonal numbers, then divide by the remaining number. Then add the correct unit. 20 feet 1 foot ? inches 12 inches 20 x 12 = 240 = Convert Measurement Units Convert 20 feet to inches. Step 4 – Multiply the diagonal numbers, then divide by the remaining number. Then add the correct unit. 20 feet 1 foot ? inches 12 inches 20 x 12 = 240 ÷ 1 = 240 inches = Convert Measurement Units 36 yards = ? feet Step 1 ? Convert Measurement Units 36 yards = ? feet Step 1 ? 1 yard 3 feet Step 2 ? Convert Measurement Units 36 yards = ? feet Step 2 ? 1 yard 3 feet Step 3 ? 36 yards ? feet Convert Measurement Units 36 yards = ? feet Step 3 ? 1 yard 3 feet Step 4 ? = 36 yards ? feet Convert Measurement Units 36 yards = ? feet Step 4 ? 1 yard 3 feet = 36 yards ? feet 3 x 36 = 108 ÷ 1 = 108 feet Convert Measurement Units ¾ ton = ? pounds Do this on your own. Convert Measurement Units ¾ ton = ? pounds 1 ton 2000 pounds 2000 1 3 4 = 6000 4 ¾ ton ? pounds x = =1500 ÷1 = 1500 pounds Convert Measurement Units Marco mixes ¼ cup of fertilizer with soil before planting each bulb. How many fluid ounces of fertilizer does he use for each bulb? Do this on your own. Convert Measurement Units Marco mixes ¼ cup of fertilizer with soil before planting each bulb. How many fluid ounces of fertilizer does he use for each bulb? 1 cup 8 ounces 8 1 1 4 x = 8 4 = ¼ cup ? ounces =2 ÷1 = 2 ounces Convert Measurement Units Convert 15 quarts to gallons. Do this on your own. Convert Measurement Units Convert 15 quarts to gallons. 4 quart 1 gallon = 15 quarts ? Gallon 34 1 x 15 = 15 ÷ 4 = 4 ) 15.0 -12 3 3 Convert Measurement Units 100 ounces = ? pounds. Do this on your own. Convert Measurement Units 100 ounces = ? pounds. 16 ounces 1 pound = 100 ounces ? Pound 6 =6 1 x 100 = 100 ÷ 16 =16 ) 100.00 -96 4 4 16 1 4 Convert Measurement Units Manual and his friends spent his birthday at the game center. He spent 4/7 of his money on go karts and now has $15 left. How much money did he spend on go karts? We can draw a bar diagram to solve this problem. Step 1 – Create a bar diagram and divide into sections matching the denominator of the fraction. Convert Measurement Units Manual and his friends spent his birthday at the game center. He spent 4/7 of his money on go karts and now has $15 left. How much money did he spend on go karts? Step 2 – Divide the bar diagram by the numerator in the fraction. Amount spent on Amount not spent go karts on go karts ($15) Convert Measurement Units Manual and his friends spent his birthday at the game center. He spent 4/7 of his money on go karts and now has $15 left. How much money did he spend on go karts? Step 3 – Determine how much each section is worth. 5 Amount spent on Amount not spent go karts on go karts ($15) 5 5 5 5 5 5 Convert Measurement Units Manual and his friends spent his birthday at the game center. He spent 4/7 of his money on go karts and now has $15 left. How much money did he spend on go karts? Step 4 – Determine the unknown amount . Refer to page 297 for additional information on “Draw a Diagram” instructions. 5 Amount spent on Amount not spent go karts on go karts ($15) 5 5 5 5 5 5 Convert Measurement Units How do you use ratios to convert units of measurement? Convert Measurement Units. Complete the Mid-Chapter Check on page 300. If you do not complete today, please complete by Monday. Agenda Notes Homework – No Homework Mid Chapter 4 Quiz –Monday, Oct 28