warm up h is the number of hits w is the number of walks p is the number of times the player has...

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Warm Up The following formula can be used to calculate a baseball player’s on-base percentage . During the first twenty games of the season, Ian has 10 hits, 2 walks, 35 at bats, 5 sacrifice flies, and he has been hit by 1 pitch. 1. What does the variable h represent? 2. What is Ian’s on-base percentage? 3. How would Ian’s on-base percentage change if he had not been hit by any pitches? h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s is the number of sacrifice flies and bunts

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Page 1: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Warm UpThe following formula can be used to calculate a baseball player’s on-base percentage .

During the first twenty games of the season, Ian has 10 hits, 2 walks, 35 at bats, 5 sacrifice flies, and he has been hit by 1 pitch.

1. What does the variable h represent?

2. What is Ian’s on-base percentage?

3. How would Ian’s on-base percentage change if he had not been hit by any pitches?

h is the number of hitsw is the number of walks p is the number of times the player has been hit by a pitchb is the number of times at bats is the number of sacrifice flies and bunts

Page 2: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Warm UpThe following formula can be used to calculate a baseball player’s on-base percentage .

During the first twenty games of the season, Ian has 9 hits, 2 walks, 38 at bats, 5 sacrifice flies, and he has been hit by 1 pitch.

1. What does the variable b represent?

2. What is Ian’s on-base percentage?

3. How would Ian’s on-base percentage change if he had not been hit by any pitches?

h is the number of hitsw is the number of walks p is the number of times the player has been hit by a pitchb is the number of times at bats is the number of sacrifice flies and bunts

Page 3: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

1.1 Expressions and FormulasVariables are letters used to represent unknown quantities.

Algebraic expressions contain at least one variable.

To solve apply the Order of Operations.

Page 4: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Examples

1.

2.

Page 5: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Key ConceptA formula is an expression of the relationship between certain quantities.

Page 6: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Examples

Use the formula

1. Room temperature commonly ranges from F to F. Determine the room temperature range in degrees Celsius.

2. The normal average human body temperature is F. A temperature above this indicates a fever. If your temperature is C, do you have a fever?

Page 7: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

GROUP WORK

Materials:1. One Sheet of loose-leaf paper per person2. Pencil!!!3. Textbook

Turn to page 7.Solve problems 3, 5, and 7

together.

Page 8: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Group Work Answers

Page 9: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

1.2 Properties of Real Numbers

Real numbers consist of several different kinds of numbers.

• Rational – The decimal form is always repeating or terminating.

• Irrational – the decimal form neither terminates nor repeats.

• Integers

• Whole

• Natural

Page 10: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

ExamplesName ALL the sets of numbers to which each example belongs.

Page 11: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Key Concept

Page 12: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Warm Up

1. What is the value of ?

2. Evaluate if a = 2, b = 4, and c = -1.

3. Name the set of numbers to which belongs.

4. Name the set of numbers to which the value of belongs.

Page 13: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Key Concept

The additive inverse of a number:

The multiplicative inverse of a number:

Page 14: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

ExamplesFind the additive and multiplicative inverse for each number.

Page 15: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Key ConceptThe properties of real numbers can be used to simplify algebraic expressions.

Simplify

Page 16: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

ExamplesSimplify.

Page 17: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

GROUP WORK

Turn to page 14.Solve problems 1, 3, 9, and 17.

Page 18: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Group Work Answers

Naturals, Whole, Integers, Rational, Real

Irrational, Real

Page 19: Warm Up h is the number of hits w is the number of walks p is the number of times the player has been hit by a pitch b is the number of times at bat s

Homework Problems

Lesson 1.1Pgs. 7-8 #’s 11-15 ODD, 19-23 ODD, and #43

Lesson 1.2Pgs. 14-15#’s 19-25 ODD, 31-35 ODD, 37-39 ODD, and #53