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Math: Lesson #1 Conversions & Pythagorean Theorem.

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Presentation on theme: "Math: Lesson #1 Conversions & Pythagorean Theorem."— Presentation transcript:

1 Math: Lesson #1 Conversions & Pythagorean Theorem

2 1) How many minutes are in 5 hours? 2) How many seconds are in 7 hours? *** Congratulations! You just did some conversions!

3  Do Now (5)  Conversion Flash Cards (10)  Conversions Notes (10)  Conversions Practice (10)  PT Notes (10)  PT Practice (10)  Exit ( 5)

4  Make 8 Flash Cards for the Following: Volume 1 Cup= 8 Ounces 1 Pint = 16 Ounces 1 Quart = 2 Pints 1 Gallon= 4 Quarts Length 1 mile= 1.6 km 1 meter = 3.28 feet 1 foot = 12 inches 1 yard = 3 feet

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6  What are Conversions? - Changing one unit of measurement into a different unit - Ex. minutes to seconds, km to mile, ounces to pounds, etc. - You’ll need to set up a Rate of Conversion. * Since 16 ounces = 1 pound you would write it as : 1 pound 16 ounces * 1 mile = 1.6 km would be written as: 1 mile 1.6 km

7  Let’s all turn to page 447 in the binder and work out the following problem:  If Jill is Driving at 65 miles per hour, what is her approximate speed in kilometers per hour ( 1 mile = 1.6 km)

8 1) Write Rate of Conversion followed by = sign and a fraction bar 1 mile = _______ 1.6 km 2) Match the units of the other value. 1 mile = 65 mile 1.6 km 3) Fill in variable for what questions is asking you to find. 1 mile = 65 mile 1.6 km x hours 4) Let’s Cross Multiple

9  Please Turn to page 448  Let’s Go over Example  Now Turn to page 452 solve questions # 1-6  Students will be called to solve problems on the board.

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11 It is a triangle which has an angle that is 90 degrees. The two sides that make up the right angle are called legs. The side opposite the right angle is the hypotenuse. leg hypotenuse right angle

12 In a right triangle, if a and b are the measures of the legs and c is the hypotenuse, then a 2 + b 2 = c 2. Note: The hypotenuse, c, is always the longest side.

13 12 2 + 16 2 = c 2 144 + 256 = c 2 400 = c 2 Take the square root of both sides. 20 = c

14  Turn to pg 450 and Let’s Review Problem  Now you practice problems on pg. 454 # 1-4

15 1. If Robert is Driving at 50 miles per hour, what is her approximate speed in kilometers per hour ( 1 mile = 1.6 km) 2. Find the length of the hypotenuse if a = 5 and b = 7.


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