Presentation on theme: "Unit 6: Scale Factor and Measurement"— Presentation transcript:
1 Unit 6: Scale Factor and Measurement How will you measure up?
2 What am I Learning Today? MeasurementHow will I show that I learned it?Determine appropriate units of measureMeasure length to the nearest half, fourth, eighth and sixteenth of an inch.Convert from one unit to another within one system of measurement (customary or metric) by using proportional relationships.
3 Following Directions Lesson Take out a clean sheet of notebook paper.Place it in front of you on your desk.Fold your paper in half long ways “hot dog style”.
4 Following Directions Lesson Open your paper up and place it holes to the top on your desk.Draw a line all the way down the crease on the paper with a marker.
5 Following Directions Lesson Fold the paper in half the other way “hamburger style”.
6 Following Directions Lesson Open the paper up with the holes to the top.Draw a line from the center of the paper to the margin closest to you.
7 Following Directions Lesson Fold the paper again “hamburger style”.Then fold it over again in the same direction as you folded it last.
8 Following Directions Lesson Open the paper up.Draw a line on each of the creases half way to the bottom margin.Then fold your paper back up like you last had it.
9 Following Directions Lesson Fold the paper over one more time in the same direction as your last fold, making it even more slender.
10 Following Directions Lesson Open the paper up.Draw lines on the four creases half as long as the last lines you drew, or ¼ of the way to the bottom margin.
11 Following Directions Lesson Draw small lines on our paper in between each of the lines already on your paper and the left and right edges.Make the lines extend down and be half as long as the last lines drawn.
12 Following Directions Lesson Next, draw lines on the left and right edges all the way down below the margin, half way between the margin and the bottom of the paper.How many lines have you drawn?What fraction represents the whole amount?
13 Reading A RulerYou read each line as a fraction or portion of the total number 16.Remember, all fractions should be expressed in simplest form.1/163/167/169/1611/1613/1615/165/162/1614/166/1610/164/1612/168/1616/16
14 Now let’s see if you can read one properly. How do I read a ruler?This is a typical carpenter’s ruler. Label your ruler exactly like this one.Now let’s see if you can read one properly.121414381838587161163165167169161116131615
24 G Q Q Q Q PP PP PP PP Big G How many cups in a quart? How many pints in a gallon?How many cups in a gallon?QPPQPPGccccccccQQPPPPcccccccc
25 Questions Answers 1 qt 4 c 3 qt x = 1 • x = 4 • 3 x = 12 Questions NotesQuestions AnswersHow do I convert between customary units of measure?1) Write a ratio using a conversion factor.2) Create a proportion using a variable for the valueyou are trying to find and the measurement given.3) Find the cross product and solve for thevariable.What is a conversion factor?The standard equivalents between two given units. In other words, “How much for one?”For example, 12 inches equals 1 foot.1 qt 4 c3 qt x=Remember, the order of each ratio must be the same!!How do I convert 3 quarts to cups?1 • x = 4 • 3x = 123 quarts = 12 cups.
26 Convert 144 cups to gallons. 144 cups = gallons.1 gallon is 16 cups. Write a proportion. Use a variable for the value you are trying to find.1 gal 16 cx c=The cross products are equal.16 • x = 1 • 144Divide both sides by 16 to undo multiplication.16x = 144x = 9144 cups = 9 gallons.
27 Customary Conversion Practice 1. Convert 5 yards to inches.2. Convert 16 tons to pounds.3. Convert 11 quarts to cups.4. A project requires 288 inches of tape. How many yards is this?180 inches32,000 pounds44 cups8 yards
28 Questions Answers What are the basic metric units? Questions NotesQuestions AnswersWhat are the basic metric units?- Meter measures length or distance- Liter measures volume or capacity- Gram measures weight or massWhat are the metric prefixes?Kilo Hecto Deca Base Deci Centi MilliKing Henry Died By Drinking Chocolate Milk1) Write out KHDBDCM. Put a dot over the prefix ofthe given unit. Put another dot over the prefix ofthe unit you are trying to find.2) Notice the direction and number of “hops” youhave to make to get from the original prefix to theother.3) Move your decimal the same number of “hops” inthe same direction to get your answer.How do I convert between metric units of measure?
29 Converting between metric units. kilohectodecadeciMetercentiLitermilliGramKing Henry Died By Drinking Chocolate Milk
30 Convert metric measures simply by moving the decimal. Metric MeasurementsLengthWeightCapacity1 km = 1,000 m1 kg = 1,000 g1 L = 1,000 mL1 m = 100 cm1 g = 1,000 mg1 cm = 10 mmConvert metric measures simply by moving the decimal.
31 Converting between metric units is as easy as moving a decimal! kilohectodecadecicentimilli
32 Converting between metric units. kilohectodecadecicentimilli100,0001 kilogram = centigrams
33 Converting between metric units. kilohectodecadecicentimilli101000 millimeters = decimeters
34 Converting between metric units. kilohectodecadecicentimilli320 hectoliters= kiloliters32
35 Converting between metric units. kilohectodecadecicentimilli4000 centimeters = meters40
36 Converting between metric units. kilohectodecadecicentimilli34,400344 decameters = decimeters
37 Converting between metric units. kilohectodecadecicentimilli500 centimeters = millimeters5000
38 Sports ApplicationThe high-jumper cleared a height of 1.75 m. How many centimeters is this height?A centimeter is 2 places to the right of a meter in the chart.1.75 m = cm.1 m = 100 cm. You are converting a bigger unit TO a smaller unit. Multiply by 100.1.75 m = (1.75 • 100) cmMove the decimal point 2 places to the right.1.75 m = 175 cm
39 Using Powers of Ten to Convert Metric Units of Measurement The CD case is 14 cm wide. 14 cm = _____ m100 cm = 1 m, smaller unit TO bigger unit, so divide by 100.14 cm = (14 ÷ 100) mMove the decimal point 2 places to the left.14 cm = 0.14 mMake sure you are multiplying or dividing by the correct power of ten.Caution!
40 Metric Conversion Practice Convert.1. A book is 24 cm long. 24 cm = ____ mm2. The chain has a mass of 16 g. 16 g = _____ mg3. The volume of the liquid was 12,000 mL.12,000 mL = ____ L4. Frank’s paper airplane glided 78.9 m. Sarah’s plane glided 85 m. How many more centimeters did Sarah’s plane glide?24016,00012610 cm
41 What metric unit would you use to measure length or distance? METERS
42 What metric unit would you use to measure volume? LITERS
43 What metric unit would you use to measure weight? GRAMS
44 What metric unit would you use to the distance to the mall? Kilometers
45 What metric unit would you use to the width of your paper? Centimeters or Millimeters
46 What metric unit would you use to the weigh yourself? Kilograms
47 What metric unit would you use for the amount of water to fill a tub? Liters
48 What metric unit would you use for the amount of water to fill a pool? Kiloliters