Ratios and Units of Measurement - Step-by-Step Lesson. Lesson 1 Ratio Problem: a) How many feet are there in 2 meters?

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1 Ratios and Units of Measurement - Step-by-Step Lesson Lesson 1 Ratio Problem: a) How many feet are there in 2 meters? Explanation: Step 1) We know that : 1 m = 3.3 ft Step 2) We have to convert meters to feet by multiplying. 1:3.3 2: x Step 3) Setup the ratio in proportion form:. x Step 4) Solve for x. Cross multiply. 1x = 6.6 x = 6.6 So, 6.6 feet is the same as 2 meters.

2 Ratios and Units of Measurement - Guided Lesson Complete the following problems: 1) Which is more, 7 centimeters or 60 millimeters? 7 centimeters 60 millimeters Neither, they are equal 2) Convert and simplify your answer. Write it as a proper fraction or as a whole number or mixed number. teaspoons = 3 tablespoons 3) Divide. 40 yards 2 feet 2

3 Ratios and Units of Measurement - Guided Lesson Explanation Explanation#1 Step 1) The best way to approach this problem is to get all of the measurements into the same unit. Step 2) We know that, 1 centimeter = 10 millimeters Step 3) Now find out how many millimeters are in 7 centimeters. We should multiply 7 x 10 = 70 There are 70 millimeters in 7 centimeters. 70 is more than centimeters 60 millimeters Neither, they are equal So, 7 centimeters is more than 60 millimeters Explanation#2 Step 1) Now we just need to convert one measurement. Step 2) We know that, 1 tablespoon = 3 teaspoons Step 3) We have to find how many teaspoons are in 3 tablespoons. So we have to convert from a larger unit to a smaller unit. Let s get everything into proportion form.

4 = Step 4) Cross multiply: 1x = 9 X = 9 = 9 teaspoons = 3 tablespoons Explanation#3 Step 1) This is pretty straight forward: 40 yards 2 feet 2 Divide 40 by 2 and 2 by 2. When we divide both the yards and the feet by 2. (40 yards 2 feet) 2 = 20 yards 1 foot So, the answer is 20 yards 1 foot

5 Ratios and Units of Measurement - Independent Practice Worksheet Complete all the problems. 1) 5 feet 2 inches = inches 2) 8 m 12 cm = cm 3) 7085 g = kg g 4) 2 tons = pounds 5) 6 yards = feet 6) Multiply. 3 times of 5 feet 1 inch = feet inches 7) Divide. 18 tons 42 pounds divided by 3 = tons pounds 8) Multiply. 3 times of 4 yards 2 foot = yards feet 9) Divide. 15 kg 30gm divided by 5 = kg gm 10) Multiply. 24 times 4 tons 2 pounds = tons pounds

6 Ratios and Units of Measurement - Matching Worksheet Match the word problems to their answers. Write the letter of the answer that matches the problem qt 4 qt 1 pt a. = 2. Select >, < or = to make the sentence true. b. 20 ounces 34 quarts 8 gallons 3 quarts 3. Select >, < or = to make the sentence true. c. 2 qt 1 pt 4 pounds 9 ounces 73 ounces 4. Which measure is greater? - 20 ounces - 1 pound d. 4 cups 5. Which measure is greater? - 1 pint - 4 cups e. < 6. Which measure is greater? - 6 kilogram gram f. 2 tons 7. Which measure is greater? - 8 dozen object g. 6,005 grams 8. Which measure is less? pounds - 2 tons h. 100 objects

7 Name: Date Topic : Proportions to Determine Length - Worksheet 1 Use a proportion to find the unknown length. 1 AB = 3 AC = 7 BC = 4 DE = 4 DF = 5 2 ED = 2 DC = 4 CE = 6 JI = 8 IH = HJ = 24 3 PM = 6 MN = 3 NO = 12 OP = 15 LI = 4 KL = 5 4 PM = 4 MN = 16 NO = 12 OP = 6 LI = 2 6 KL = 3 5 AB = 3 BD = 9 2 CA = 8 4 GH = FH = 5 GE = 6 DB = 12 BA = 16 AC = CA = 20 MP = 3 PO = 4 ON = 7 MN = 7 HI = KL = 4 LH = 2 AB = 8 BC = 12 DE = 8 FA = 8 AB = 12 BC = 4 5 DA = 15 EH = 21 HG = UR = 18 RS = 9 ST = 3 TU = 6 DE = 6 3 GD = 10 PM = 3 MN = 5 NO = 4 OP = 6 LI = KL =

8 Name: Date Topic : Proportions to Determine Length - Worksheet 2 Use a proportion to find the unknown length. 1 AB = 3 AC = 7 BC = 4 DE = 6 DF = 2 ED = 4 DC = 5 CE = 6 JI = 8 IH = HJ = 12 3 PM = 6 MN = 8 NO = 12 OP = 10 LI = 6 KL = 5 4 PM = 4 MN = 8 NO = 12 OP = 16 LI = 2 6 KL = 8 5 AB = 3 BD = 12 2 CA = 10 4 GH = FH = 5 GE = 6 DB = 12 BA = 24 AC = CA = 30 MP = 2 PO = 4 ON = 7 MN = 7 HI = KL = 19 LH = 24 AB = 8 BC = 18 DE = 23 FA = 8 AB = 20 BC = 4 5 DA = 25 EH = 35 HG = UR = 18 RS = 3 ST = TU = 9 DE = 30 6 GD =7 10 PM = 8 MN = 6 NO = 4 OP = 2 LI = 36 KL =18

9 Name: Date Topic : Proportions to Determine Length - Worksheet 3 Use a proportion to find the unknown length. 1 AB = 2 AC = 7 BC = 9 DE = 5 DF = 14 2 ED = 6 DC = 8 CE = 10 JI = IH = HJ = 12 3 PM = 8 MN = 16 NO = 24 OP = 32 LI = 4 KL = 4 PM = 12 MN = 15 NO = 18 OP = 21 LI =14 KL =35 5 AB = 18 BD = 9 2 CA = 10 6 GH = FH = 3 GE = 6 DB = 8 BA = 13 AC = CA = 23 MP = 17 PO = ON = MN = 32 7 HI = KL = 10 LH = 5 AB = 20 BC = DE = FA = 4 8 AB = 24 BC = 6 5 DA = 20 EH = HG = UR = 27 RS = 9 ST = 13 TU = DE = 12 6 GD =5 10 PM = 20 MN = 15 NO = 10 OP = 5 LI = 48 KL = 12

10 Name: Date Topic : Proportions to Determine Length - Worksheet 4 Use a proportion to find the unknown length. 1 AB = 6 AC = 4 BC = 10 DE = 5 DF = 9 2 ED = 5 DC = 4 CE = 20 JI = 7 IH = HJ = 63 3 PM = 24 MN = 19 NO = 14 OP = 9 LI = KL = 8 4 PM = 9 MN = 18 NO = 27 OP = 36 LI = KL = 48 5 AB = 50 BD = 10 CA = 15 GH =12 FH = 65 GE = 6 DB = 9 BA = 11 AC = CA = 15 MP = 4 PO = ON = MN = 10 7 HI = KL = LH = 8 AB = 16 BC = DE = FA = 4 8 AB = 63 BC = 9 DA = 56 EH = HG = UR = 12 RS = 9 ST = 6 TU = 3 DE = GD =2 10 PM = 48 MN = 36 NO = 24 OP = 12 LI = 52 KL = 13

11 Name: Date Topic : Proportions to Determine Length - Worksheet 5 Use a proportion to find the unknown length. 1 AB = 7 AC = 10 BC = 13 DE = 6 DF = 12 2 ED = 4 DC = 5 CE = 3 JI = 16 IH = HJ = 9 3 PM = 5 MN = 13 NO = 21 OP = 29 LI = 8 KL = 4 PM = 5 MN = 15 NO = OP = 35 LI = 78 KL = 48 5 AB = 6 BD = 10 CA = 18 GH = 15 FH = GE = 7 6 DB = 4 BA = 3 AC = 2 CA = 1 MP = 48 PO = ON = 4 MN = 2 7 HI = KL = 8 LH = 24 AB = 16 BC = 7 DE = FA = 8 AB = 45 BC = 40 DA = 30 EH = 54 HG = 49 9 UR = 28 RS = 21 ST = 14 TU = 7 DE = 4 GD = 1 10 PM = 40 MN = 24 NO = 32 OP = LI = 5 3 KL = 6

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