Unit 2USING MEASURES

AND EQUATIONS

a.(-3) + (-4) =

b.(-6) – (-10) =

c. (-12)(-12) =

d.15 ÷ (-5) =

BELLWORK

BellworkComplete the table onto your bellwork paperLook for patterns in the data in the table. Write down

your observations.

SECTION 2.2- EXPLORING SCIENTIFIC NOTATION

Power

Decimal Fraction

104 10,000 ---

103 ---

102 ---

101 ---

100 ---

10-1 0.1 1 10

10-2

10-3

1. How many zeros are there in the decimal notation for the power 106?

2. How many zeros are there to the right of the decimal point in the decimal notation for 10-6?

3. How many decimal places are there in the decimal notation for 10-6?

4. The power 10-6 can be written as the fraction 1 or 1 .1,000,000 106

Write 10-12 as a fraction in two different ways.

A number written as a number that is at least one but less than ten, multiplied by a power of ten.

5,900,000,000,000 = 5.9 x 1012

SCIENTIFIC NOTATION

A number that is at least 1 but less than 10 Multiplied by

A power of 10

Write each number in scientific notation.

a. The number of seconds in a week: 604,800

b. The thickness of a piece of paper in inches: 0.0039

SAMPLE 1

Write each number in decimal notation.

a. The average radius of Earth in meters: 6.38 x 106

b. The thickness of a wire on a computer chip in meters: 3 x 10 -6

SAMPLE 2

Write each number in scientific notation. Explain your steps.

a. 34,000 b. 0.00000219

Write each number in decimal notation and read it in words.

a. 9.3 x 106 b. 4.8 x 10 -4

Is each expression written in scientific notation? If not, write it in scientific notation.

a. 0.4 x 1015 b. 12.7 x 10 -6

TALK IT OVER

Simplify

a. (4 x 102)(3 x 106)

b. 5.9 x 1012

365

SAMPLE 3

Pg 75 (16-24 evens, 32, 34, 48-51)

HOMEWORK

+Bellwork

What do you know already about angles?

Bellwork

Finish your foldable!(if you weren’t here,ask a classmate to

help you start)

SECTION 2.4Measurement

BELLWORK: USING A RULER

What is the length of the gray box?

ESTIMATING ON A MAP

If you measure 19cm from Carson City to Boston…

How far away is that if 1 cm is 200 miles?

ESTIMATING ON A MAP

ESTIMATING ON A MAP

300 x 3 = 900 miles

ESTIMATING ON A MAP

500 x 3 = 1,500 ft

SECTION 2.4 & 2.5 NOTES

BELLWORK

• Give an example of something you would measure in each of the following units.• A) inches• B) feet• C) Miles

• Draw two angles that are supplementary.

TALK IT OVER- PG 79

SAMPLE 2

• Use the map on page 80 to estimate the area of the state of Utah.

TALK IT OVER- PG 81

SYMBOLS

TALK IT OVER- PG 82

SECTION 2.5SAMPLE 1

• Estimate to sketch each angle.• <A= 90°

• <B= 45°

• <C= 135°

SPECIAL ANGLE RELATIONSHIPS

• Angles with equal measures are congruent angles

SPECIAL ANGLE RELATIONSHIPS

• Two angles formed by intersecting lines and facing in opposite directions are called vertical angles

• Vertical angles have equal measures

SAMPLE 2

HOMEWORK

• Pg 83 (6-9) AND Pg 90 (8a-10, 15, 20, 32-34)

BELLWORK

Evaluate each expression for the given values.

1. 3k + 4m when k = -10 and m = 5

2. (-2)x + 7y + 3 when x = 0 and y = -4

3. 9p - 7q - 15 when p = 5 and q = 2

4. 8 + (17 - 4y) when y = 16

5. 3(5 - 2x) + (-10) + (-3)n when x = 1 and n = -3

A mathematical statement in which one expression equals another is an equation.

A value of a variable that makes an equation true is a solution of the equation.

The process of finding solutions is called solving an equation.

x + 2 = 5

EQUATIONS

One way to solve an equation is to make changes to both sides until the variable is alone on one side and the solution is along on the other.

SOLVING EQUATIONS: BALANCING

Solve the equation 2x + 3 = 11

Check: 2 (4) + 3 = 11 ?Equations that have the same solution are called

equivalent equations. 2x + 3 = 11 and x = 4 are equivalent

SAMPLE 1

=

Solve the equation 3x – 4 = 11

Check: 3 (5) – 4 = 11 ?

SAMPLE 2

=

YOU TRY!

2x – 5 = 3

TALK IT OVER- PG 101

SAMPLE 3

Find the value of x on the kite.

Pg 103 (4-16 evens 20-23)

HOMEWORK

BELLWORK

Solve by undoing x - 64 = 76 3

SAMPLE 1

1. Explain how to solve -49 = 4n + 7 using Method 1 from Sample 1. Then solve.

2. How is solving -49 = 4n – 7 diff erent from solving -49 = 4n + 7?

TALK IT OVER

Marcus left his bicycle at a repair shop to have seven spokes replaced. When he got home he found the phone message shown. How much did each spoke cost?

SAMPLE 2

Sometimes you have to simplify one or both sides of an equation before you begin to solve.

For her theme poster project, Michelle bought 3.25 yd of fluorescent blue nylon, and 2.5 yd of hot pink nylon. The price per yard was the same for both colors. The total cost for the fabric was $40.02. What was the cost per yard of the nylon?

SAMPLE 3

Pg 108 (2-18 evens)

HOMEWORK