Let’s review! Make 2 solids. Use no more than 8 blocks for each. Sketch the front, right side, and top views for each. At the start of class, everyone will pass their solids clockwise. You now have two new solids. Sketch the views. Repeat until time is called.
Agenda Go over warm up. Practice on measurement conversions. Begin perimeter and area concepts. Assign homework.
Conversions you should know! 3 teaspoons = 1 tablespoon; 2 tablespoons = 1 liquid ounce; 8 liquid ounces = 1 cup; 2 cups = 1 pint; 2 pints = 1 quart; 4 quarts = 1 gallon 16 ounces = 1 pound; 2000 pounds = 1 ton.
Conversions you should know! 60 seconds = 1 minute; 60 minutes = 1 hour; 24 hours = 1 day 12 inches = 1 foot; 3 feet = 1 yard; 5280 feet = 1760 yards = 1 mile Freezing: 32˚F = 0˚C; Boiling: 212˚F = 100˚C; Random: -40˚F = -40˚C
Metric vs. Customary Kilo Hecto Deka Unit Deci Centi Milli meter Liter gram As you move to smaller units, there are more per unit, so multiply by 10. As you move to larger units, there are fewer per unit, so divide by 10. Ex: 56 mm = _____ m; 95 kg = _____ g; 39 L = _____ mL
Common Conversions 1 inch is exactly 2.54 cm 1 meter is about 39 in. 1 mile is about 1.6 km 1 kilometer is about 0.6 miles 1 mL is about 1/4 teaspoon of water 1 Liter is about a quart. 1 mg is about the weight of a strand of hair. 1 gram is about the weight of a raisin or small paperclip. 1 kilogram is about 2.2 pounds.
How to do conversions? Use proportions! Known comparison = ratio of known and unknown quantities. Ex: 50 quarters = ? Dimes –Known comparison: 1 quarter = 2.5 dimes or 4 quarters = 10 dimes. –Set up proportion: 4 quarters = 50 quarters or 10 dimes = x dimes 10 dimes x dimes 4 quarters 50 quarters –Solve: 4x = x = 125 dimes. ($12.50)
Practice yards = ? miles = ? feet = ? Inches 2946 cm = ? mm = ? meters = ? km 37 quarts = ? gal = ? pints = ? cups 94 cups = ? pints = ? ounces pounds = ? tons = ? ounces hours = ? days = ? min = ? seconds 84 grams = ? mg = ? kg 2.9 L = ? mL 270 feet = ? yards = ? miles = ? inches
Answers yards = 7.72 miles = 40,035 feet = 480,420 inches 2946 cm = 29,460 mm = meters = km 37 quarts = 9.25 gal = 74 pints = 148 cups 94 cups = 47 pints = 752 ounces pounds = tons = 784,032 ounces hours = days = 17,670 min = 1,060,200 seconds 84 grams = 84,000 mg = kg 2.9 L = 290 mL 270 feet = 90 yards = miles = 3,240 inches
Define or Explain In your groups, define or explain… Perimeter Circumference Area
Perimeter and Area There is a difference between the definition of perimeter and the formula for finding perimeter. Perimeter: distance around a figure, measured in units. There is a difference between the definition of area and the formulas for finding area. Area: space within the boundary of a figure, measured in square units.
Perimeter and Circumference In a circle, the circumference is the distance around the circle. In your groups, find 5 different circular objects. Use string and a ruler to measure the circumference and the diameter. Find a relationship between the lengths of the circumference and the diameter of each circle.
Exploration 10.7 In your pairs, do Part 1: find the area of shapes A, D, J, K, L on page 301. Describe what you did to find each area. Show all your work. Write your final answer with units 2. Then, do part 2 #1a, b; 2a, b; 3. Each person will be turning this in.