Pre-Alg Lesson 1

7/31/2019 Pre-Alg Lesson 1

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Pre-Algebra

Lesson 1

Objectives

1. Understand the sets of numbers and be able to name them and organize them2. Know what the additive and multiplicative identities are and what theyre good for3. Know how to place positive and negative numbers on a number line4.

Understand what an absolute value sign is

5. Learn how to add and subtract integers by moving up and down a number line.Materials and Handouts Homework

1. Walking the plank game board2. Walking the plank dice

Pages 3 and 4 of lesson

Time Activity

5 min Warm up: Put the following numbers up on the board-(0),(1/2), (20), (-8), (0.25),(-1.2), (1,500,230),

(0.3333),(3.1415926), (3), (2/5), (0.002), (-3). Ask the student what numbers are similar to each other.

How can we categorize these numbers? Why would we want to?

10 min Discuss warm up and go over sets of numbers:

1. Discuss how the different numbers can be categorized and go over the formal names for sets ofnumbers: whole, natural, integer, rational and real.

2. Discuss what irrational numbers are and the difference between irrational numbers and rationalnumbers.

3. Give them a minute or two to try and fill out the venn diagram in the notes section.4. Have them make note cards for the types of numbers

10 min Intro to negative numbers:

1. Were going to start studying types of numbers by discussing negative numbers.2. Warm up: Write an integer that matches each situation:

a. You lose 7 socks in the washb. You find $9 on the groundc. You take 8 steps forwardd. Take 2 steps backe. Go down 5 floorsf. You scored 6 points above averageg. Its 3 degrees below.

3. Discuss what the point of negative numbers are- they have two functionsa. Denoting where numbers are on a spectrumb. Showing direction of movement.

4. Ask them to classify which of the two types each of the situations above represent5. Have them put the situations on a number line. Discuss representing the points with a

point or with an arrow depending on what type of negative number it is.

6. Talk about absolute value and what it means. Go through a few examples20 min Play walking the plank game

1. Play the game with me being the captain once.2. Write equations for each of our roles describing the rationale behind each symbol.3. Go through the rules for adding and subtracting negative numbers:

a. First number is where you startb. Operation tells which way to facec. Positive and negative sign tells you which way to moved. The second number tells you how many spaces to move.


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4. Go through a few examples of adding and subtracting negative numbers:a. ex1: 5-+2, ex2: 3+-5, ex3: -1++4, ex4: -3--7

5 min Have them go back and summarize the lesson and start the homework

Pre-Algebra Name:________________

Lesson 1 Date:_________

Class Work

Summary of the lesson:When were done with the lesson today, come back to this box and summarize

what you learned today in large, clear handwriting so you can easily come back to it. Write down any

questions or confusions you have as well.

Warm up for Types of Numbers: Group the numbers written on the board into different categories below.

Vocab: Types of number- Write definitions for the different types of numbers below.

1. Natural Number:_____________________________________________________________2. Whole Number:______________________________________________________________3. Integer:_____________________________________________________________________4. Rational Number:_____________________________________________________________5. Real Number:________________________________________________________________6. Identity:_____________________________________________________________________

Write in the sets of numbers in the diagram below. Include examples of each type of number in the

boxes.


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Warm up for negative numbers: Write an integer that matches each situation:

a. You lose 7 socks in the wash:___b. You find $9 on the ground:___c. You take 8 steps forward:___d. Take 2 steps back:___

e. Go down 5 floors:___f. You scored 6 points above average:___g. Its 3 degrees below:___

Two types of Negative Numbers:

1. ________________________________________________________________________________2. ________________________________________________________________________________3. Please go back and classify each of the situations from the warm up as type 1 or type 2 negative

numbers

4. Please mark the numbers from the warm up on the number line below. Label each mark.

Vocab: Definition of absolute value

Walking the Plank Game: We will play a simple game dreamt up by a cruel pirate ship captain. . Im the

captain, youre my prisoner. I will roll and we keep playing until youre either eaten by sharks or safely backon the boat. I will roll two dice. One will tell you to point your arrow toward the boat or toward the shark.

The other die will tell you how many spaces to move forward or backward. Please record your rolls below.

Circle according to what was rolled. Well keep playing until youre safe or dead, but you dont need to

write it down after 6 rolls

Roll

1

# you

start on

Face

Shar

k

Face

Boat

Forward

1

Forward

2

Forward

3

Backward

1

Backward

2

Backward

3

# you

end on

Roll # you Face Face Forward Forward Forward Backward Backward Backward # you

-10 -5 0 105


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2 start on Shark

Boat 1 2 3 1 2 3 end on

Roll

3

# you

start on

Face

Shar

k

Face

Boat

Forward

1

Forward

2

Forward

3

Backward

1

Backward

2

Backward

3

# you

end on

Roll

4

# you

start on

Face

Shar

k

Face

Boat

Forward

1

Forward

2

Forward

3

Backward

1

Backward

2

Backward

3

# you

end on

Roll

5

# you

start on

Face

Shar

k

Face

Boat

Forward

1

Forward

2

Forward

3

Backward

1

Backward

2

Backward

3

# you

end on

Roll

5

# you

start on

Face

Shar

k

Face

Boat

Forward

1

Forward

2

Forward

3

Backward

1

Backward

2

Backward

3

# you

end on

Writing it in Math:Well write each of your rolls as an addition or subtraction problem.

1. Roll 1 equation:2. Roll 2 equation:



Rules for adding and subtracting integers using a number line:

Pre-Algebra Name:_______________

Lesson 1 Date:_________

Homework

1. Classify the following numbers using the smallestset to which it belongs. For example, 3 is a naturalnumber, a whole number, an integer, a rational number and a real number, but lets just call it a

natural number because thats the smallest set it belongs to.

a. 4

b.

c.

d. 0

e.

f.

g.

h.

2. State whether the following statements are true or false.a. If the number is a whole number, then its also a real number:____b. If the number is an integer, then its also a natural number:____c. Zero is a natural number:___d. If the number is a rational number, then its also a real number:____e. If the number is a natural number, then its also a rational number:____


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3. Give an integer to represent each quantity, then in the space provided, determine if it represents aposition in relationship to a fixed point (write position) or a direction of movement (write

direction)

a. I spent $16 dollars on earmuffs for my cat: ___/___________b. I climbed a huge hill the other day reaching an elevation of 900 feet above sea level:

____/___________

c. For every 7 steps I take forward, I take 3 steps backward: ___/___________d. He fell down two stories: ___/___________e. I scored 15 points above average:____/__________f. We have 10 seconds left before takeoff:___/___________

4. Please organize the numbers below from leasttogreatest. Then mark them on the number line.a. -5, -2, 6, -7, 0.5

b. || || | |

5. Simplify each expression.a. || b. ||

c. || d. ||

e. The absolute value of -9=f. The absolute value of 6=

6. Challengea. Is it true that || || | | Try some numbers (both negative and positive for and .

b. Is it true that || || | |7. Find the answer to the addition or subtraction problems using a number line and arrows. Heres a

number line for you to use. You may mark it however you wish. You may want to make paper

arrows for yourself. Remember: When no sign is indicated, it means the number is positive.

a.

b.

c.

d.

e.

f.

g.

h.

-10 -5 0 105

-10 -5 0 15

-10 -5 0 105


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Pre-Alg Lesson 1