CAHSEE PREPMath: Lesson #1

Conversions & Pythagorean Theorem

DO1) How many minutes are in 5 hours?

2) How many seconds are in 7 hours?

*** Congratulations! You just did some conversions!

AGENDA

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

LET’S MEMORIZE SOME UNITS OF MEASURE!

Make 8 Flash Cards for the Following:Volume 1 Cup= 8 Ounces1 Pint = 16 Ounces1 Quart = 2 Pints1 Gallon= 4 QuartsLength1 mile= 1.6 km 1 meter = 3.28 feet1 foot = 12 inches1 yard = 3 feet

PART 1: CONVERSION NOTES

NOTES 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

EXAMPLE/GUIDING QUESTION 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)

HOW TO SOLVE (PG 447)

1) Write Rate of Conversion followed by = sign and a fraction bar

1 mile = _______1.6 km2) Match the units of the other value.1 mile = 65 mile1.6 km 3) Fill in variable for what questions is asking you

to find.1 mile = 65 mile1.6 km x hours

4) Let’s Cross Multiple

LET’S LOOK AT ONE MORE EXAMPLE & PRACTICE 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.

PYTHAGOREAN THEOREM NOTES

WHAT IS A RIGHT TRIANGLE?

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

leg

hypotenuse

right angle

THE PYTHAGOREAN THEOREM

In a right triangle, if a and b are the measures of the

legs and c is the hypotenuse, then

a2 + b2 = c2.Note: The hypotenuse, c, is always the longest side.

FIND THE LENGTH OF THE HYPOTENUSE IF A = 12 AND B = 16.

122 + 162 = c2

144 + 256 = c2

400 = c2

Take the square root of both sides.

20 = c

2400 c

EXAMPLES & PRACTICE Turn to pg 450 and Let’s Review Problem Now you practice problems on pg. 454 #

1-4

EXIT SLIP1. 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.