Chapter 1
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Transcript of Chapter 1
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Chapter 1
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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
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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
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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
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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
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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
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Order of Operations
Parenthesis
Exponents
Multiplication/Division
Addition/Subtraction
“PEMDAS”
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Expressions
Variable- letter that stands for a number
Expressions – consist of numbers, variables and operations. (NO EQUAL SIGN)
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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
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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
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Equations:
Equation – a mathematical sentence formed by placing an equal sign between two expressions
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Solving Equations
• Use inverse operations to solve
• Addition/Subtraction
+/-• Multiplication/Division
*/ ÷ • Squared/Square root
x2 / √
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Examples:1) 10 + n = 23
2) 7x = 42
3) R ÷ 3 = 8
4) N -15 = 7
5) 3= t ÷ 5
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Do Now 9/21/09Solve and check:
1) 13 = r + 9
2) 4x = 12
3) 15 = m8
4) r – 8 = 24
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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.
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Solving equations using formulas 9/21
Perimeter Area
Square
Rectangle
Triangle
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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
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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
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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
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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)
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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?
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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