Chapter 1

Frequency Tables and HistogramsFrequency Table: a table of data grouped into equal

intervals. Does not overlap.Histogram- Vertical graph of frequencies. Bars touch.

Age of teens who visited the mall yesterday: 14,15,19,13,14,15,18,14,18,17,13,17,13,17,16

Ages Tally Frequency

13-14 111111 6

15-16 111 3

17-18 11111 5

19-20 1 1

15

Teenage Visitors to the Mall Yesterday

0

2

4

6

8

Ages

Nu

mb

er

of

vis

ito

rs

13-14 17-1815-16 19-20

How to make a frequency table:

1. Choose intervals of equal size that include all data.

2. Tally the data at each interval.

3. Write the frequency for each interval.

4. Count to be sure you included all data

Collect data about the number of pets each person in the class has.

Make a frequency table to show the amount of pets

each student in the class has:

List the numbers first:

# of Pets Tally Frequency

How to Draw a Histogram1. Title the graph.

2. Draw and label the horizontal and vertical axes. (start the vertical scale at zero and use equal increments)

3. Draw a bar to represent the frequency for each interval. Make sure they are touching

Create another frequency table

The data shows the heights in meters, of some of the tallest roller coasters in the world:

66.4, 94.5, 68.3, 115, 62.5, 97, 66.4, 126.5, 63.4, 74.7, 63.4, 70.1, 66.4, 64.9, 63.7, 79, 63.4, 63.1, 62.5, 61.9, 71.6

Height (M) Tally Frequency

Height (M) Tally Frequency

Order of Operations

Parenthesis

Exponents

Multiplication/Division

Addition/Subtraction

“PEMDAS”

Expressions

Variable- letter that stands for a number

Expressions – consist of numbers, variables and operations. (NO EQUAL SIGN)

Evaluate the expression for the given values:

1) 3y – 10, y = 7

2) 2(x + 7), x = 4

3) m ÷ 2, m =12

4) 5 * r, r = 3

Do Now: 9/18Evaluate the expression when x=3 and y=5

1. 3x +2y

2. xy

3. 5x ÷ y

Translate the expressions and Equations:

4. A number less than 38 is 14

5. The quotient of 21 and a number

Equations:

Equation – a mathematical sentence formed by placing an equal sign between two expressions

Solving Equations

• Use inverse operations to solve

• Addition/Subtraction

+/-• Multiplication/Division

*/ ÷ • Squared/Square root

x2 / √

Examples:1) 10 + n = 23

2) 7x = 42

3) R ÷ 3 = 8

4) N -15 = 7

5) 3= t ÷ 5

Do Now 9/21/09Solve and check:

1) 13 = r + 9

2) 4x = 12

3) 15 = m8

4) r – 8 = 24

Do Now 9/21/09Tell whether the value of the variable is a solution of

the equation:1. 5a = 40; a= 92. 42 - b=26; b=16Solve and check the equations using inverse

operations:3. G + 4 = 314. B ÷ 3 = 225. The level of water in a pond rose 10 inches in one

week. Over the first three days, the pond rose 7 inches. Write an equation to find out how much the pond rose the last four days of the week. Then solve the equation.

Solving equations using formulas 9/21

Perimeter Area

Square

Rectangle

Triangle

Distance Formula

Formula: D=RT

1) A bicycle is moving at a rate of 10 feet per second. How far does the bicycle travel in 60 seconds?

D= Distance

R= Rate

T= Time

Applying Formulas:

2) A duck is flying at a rate of 55 feet per second. How far does the duck travel in 6 seconds?

3) How long does it take an airplane to travel 1350 miles at a rate of 450 miles per hour?

4) Find the Perimeter and Area of the shapes:

9 cm

3 c

m

4 ft

10 ft

Do Now 9/22/09Find the perimeter and area:1) 12 in

4 in

Use the distance formula to find the unknown values:

2) d= 20 ft, r= 2 ft/sec, t=?

3) d= ___, r= .25m/min, t= 3min

Word Problem Attack9/22

1) Read (From beg to end)

2) Read again and underline important information

3) Decide what the question is asking

4) Think about possible ways to solve

5) Pick one and Solve

6) Look back/check (re-read problem)

1) It takes Robin 3 hours to mow the lawn and 1 hour to pull the weeds in her garden. She does both 4 times a month. How much time must she spend on yard work each month?

2) You purchase 9 concert tickets on the internet. The tickets are $22 each. You have to pay a handling fee of $3 per ticket and a shipping fee of $5 for the entire order. What is the total cost of the order?

TB p41 15, 24-27 *33*15.a) how many people ride in an hour

5 cars * 4 passengers

b) 900

5*4

c) 45 * 4 * 5 = 180 *5 = 900 people

24)

= 900

20=45 trains