4

Click on the links below to see the outline for the notes for each chapter:

Chapter 1 Notes, Chapter 2 Notes, Chapter 3 Notes, Chapter 4 Notes, Chapter 5 Notes,

Course 2

Chapter 5 Notes

Chapter 6 Notes, Ch 7 Notes, Chapter 8 Notes

Ch. 9 Notes, Ch. 10 Notes, Ch. 11 Notes, Ch. 12 Notes, Ch. 13 Notes

Scroll Down to see a rough outline of the notes typewritten:

Ch. 1 Notes

1-1 A Plan for Problem Solving

Four step plan=ROSE

o Read = Read problem carefully

§ Carefully read the problem

§ Circle the question

§ Draw a picture

o Organize = Organize the facts

§ Find the facts

§ Underline the necessary facts

§ Cross out the unnecessary facts

o Solve = Set up a plan

§ Make a plan to solve the problem

§ Solve the problem

o Examine = Examine the answer

§ See if the answer fits the question. (Use estimates)

§ Does it make sense?

§ Write the answer as a sentence

1-3 Rounding

Look at the digit to the right
4 and below, let it go
5 and above, give it a shove

Ex:

Round 43 to the nearest ten

43 = 40

1-4 Order of Operations

Please Excuse My Dear Aunt Sue
Multiply and Divide Left to Right
Add and Subtract Left to Right
Use upside down pyramid to show work

Ex:

~~15 + 7~~ – 3

~~22 – 3~~

Ex:

~~14 ¸ 7~~ + 12 X 3 – 9

2 + ~~12 X 3~~ - 9

~~2 + 36~~ – 9

~~38 – 9~~

1-5 Variables and Expressions

Expressions do not contain =
Evaluate = Solve

1. Substitute the letter for the number given

2. Solve

Ways to show multiplication:

3Xm = 3Xm

3·m = 3Xm

3*m = 3Xm

3m = 3Xm

3(m) = 3Xm

(3)m = 3Xm

mn = nXm

EX:

Evaluate 14 + c if c = 32

14 + c =

32 + c = 46

46 = c or c = 46

1-6 Powers and Exponents

When you multiply a number by itself many times use exponents

5 X 5 X 5 = 5³= 125 5 = base, 3 = exponent

Second Power = squared = x²
Third Power = cubed = x³

Order of Operations

o Please Excuse My Dear Aunt Sue

o Excuse = Exponents

EX:

Evaluate 5 X 3² – 8 3² = 3 X 3 = 9

5 X 3² – 8

~~5 X 9~~ - 8

~~45 – 8~~

EX:

Write n·n·n·n·n using exponents

n⁵

EX:

Write d⁴ as a product

d·d·d·d

Chapter 2 Notes

2-1 Frequency Tables

Early step in organizing data

Three columns = what’s counted, tally, frequency

2-2 Scales and Intervals

1. Determine the scale

o Lower than lowest, higher than highest

o Round numbers

2. Determine the interval

o When scale is small use 1, 2, 3, 4, or 5

o When scale is large use multiple of 10 (10, 20, 50, 100, 1000 etc)

3. Make frequency table

o All intervals need to be equal and not overlap

2-5 Making Predictions

Prediction – educated guess about what will happen

To make predictions using a line graph assume that things will continue as they have. Extend the line to a future point and read the graph to make a PREDICTION about what will happen.

2-6 Stem-and-Leaf Plots

Similar to bar graph

EX:

Display the data 25, 8, 14, 25, 12, and 21 in a stem-and-leaf plot.

Find the least and the greatest number. Identify the tens digit in each. The least number, 8, has 0 in the tens place. The greatest number, 25, has 2 in the ten place.

Draw a vertical line and write the tens digits from least to greatest to the left of the line. These digits form the stems.

Write the units digits to the right of the line, with the corresponding stem. The units digits form the leaves.

Order the leaves in each row from least to greatest.

Include a key.

2-7 Mean, Median, and Mode

All are measures of central tendency.

All are types of averages

Mean – add all pieces of data and divide by the number of pieces of data

EX: Find the mean of the following data:160, 80, 230, 215, 180, 220, 170, 220, 300, 185

160+80+230+215+180+220+170+220+300+185=1960

1960 ¸ 10 = 196

mean = 196

Median – list all numbers from least to greatest, the middle number is the mean. If there is no middle number, find the mean of the two middle numbers.

EX:Find the median of the following data:160, 80, 230, 215, 180, 220, 170, 220, 300, 185

80, 160, 170, 180, 185, 215, 220, 220, 230, 300

There are two middle numbers, 185 and 215. To find the median, you need to find the mean of these two numbers.

(185 + 215)¸2=200

EX: Find the median of the following data: 8, 17, 9, 22, 1

1, 8, 9, 17, 22

the median is 9

Mode – The mode is the number that occurs most often in the data.

EX Find the mode of the following data: 160, 80, 230, 215, 180, 220, 170, 220, 300, 185

80, 160, 170, 180, 185, 215, 220, 220, 230, 300

The mode is 220.

Range – the range of data is the difference between the greatest number and the least number in a set of data.

EX: Find the range of the following data: 80, 160, 170, 180, 185, 215, 220, 220, 230, 300

= 300-60=240

2-8 Graphing Ordered Pairs

Coordinate System

INSERT EXAMPLE-LABLE AXIS, POINT, ETC.

See PG 82 of the red book

(4,2)

Chapter 3 Notes

3-1 Decimals Through Ten-Thousandths

…

Hundred Trillions

Ten Trillions

Trillions

Hundred Billions

Ten Billions

Billions

Hundred Millions

Ten Millions

Millions

Hundred Thousands

Ten Thousands

Thousands

Hundreds

Tens

Ones

Tenths

Hundredths

Thousandths

Ten Thousandths

Hundred Thousandths

…

3-3 Comparing and Ordering Decimals

1 Line up numbers by decimal

2 Add zeros if necessary

3 Compare from left to right

3-4 Rounding Decimals

o Use the same methods as with whole numbers

o If the number to the right is 5 and above give it a shove, 4 and below let it go.

3-5 Estimating Sums and Differences

1. Round to whole numbers/easy to work with

2. Add or subtract

3-6 Adding and Subtracting Decimals

1. Estimate

2. Line up decimals

3. Add zeros if needed

4. Add or Subtract

5. Check answer with estimate

Chapter 4 Notes

4-1 Multiplying Decimals by Whole Numbers

Estimate

Round to whole/easy numbers

Multiply

Solve

Ignore decimals and solve as with whole numbers

Place decimal by counting all the digits to the right of the decimal in the problem and moving the decimal that many places to the left in the answer.

EX: SEE Pg. 134

4-2 Using the Distributive Property

Order of Operations

Please Excuse My Dear Aunt Sue

Please = Parentheses

Distributive Property

Chapter 5 Notes

Using Number Patterns, Fractions, and Ratios

5-1

Divisibility Patterns