ALGEBRA 1
UNIT0--THE BASICS
(1 OPENING DAY + 9 LESSONS + 1 QUIZ + 2 PRACTICES +
+ 1 STUDY GUIDE+ 1 TEST = 15 DAYS)
DateLesson PlanStandard(s)Other
W 9/6OPENING DAY – COURSE CONTRACT
Th 9/7Basics-1Calculator Introduction Start Warm Ups
F 9/8Basics-2Calculator Introduction
M 9/11Basics-3Verify Solutions,A.REI.1, Hand OutHW Set #1
Solve Linear EquationsA.REI.3
T 9/12Basics-4Solve Linear EquationsA.REI.3Warm Up Quiz
W 9/13PRACTICE DAYStart Warm Ups
Th 9/14Basics-5Interpret Parts of an Expression,A.SSE.1,
Properties, VocabularyA.APR.1
F 9/15Basics-6Properties of Rational andN.RN.3, Collect HW Set #1
Irrational NumbersA.REI.1
M 9/18QUIZ Warm Up Quiz
Hand Out HW Set #2
T 9/19Basics-7Inequalities, Set Builder Notation, Start Warm Ups
Interval Notation
W 9/20Basics-8Simplify Radicals A.REI.4
Th 9/21Basics-9 Dimensional AnalysisN.Q.1
F 9/22PRACTICE DAY Collect HW Set #2
M 9/25STUDY GUIDE Warm Up Quiz
Hand Out HW Set #3
T 9/26TEST
The Basics - 1
Today, you will be able to:
THE 2ND KEY:
To use anything written in ______, you must press the 2nd key first.
The cursor will then have an up arrow in it.
CLEARING THE MEMORY:
Key Sequence:
The screen will say ______.
TO GET OUT OF A SCREEN:
You have two options:
______OR______
CONTINUOUS OPERATIONS:
Add 6143 and 2148.
Now multiply this by 3.
*** Ans means ______.
THE SUBTRACTION vs. NEGATIVE BUTTONS:
The subtraction key is ______and looks like ______.
The negative key is ______and looks like ______.
TRY:
EXPONENTS:
To type in , press ______or ______.
^ is called the ______.
TRY:
SQUARE ROOTS:
To type in , press ______.
TRY:
CUBE ROOTS:
To type in , press ______.
TRY:
ABSOLUTE VALUE:
To type in , press ______.
TRY:
The Basics - 2
Today, you will be able to:
TO TYPE IN A FRACTION:
We use the idea that a fraction is the same as ______.
To type in , press ______.
TO CHANGE A FRACTION INTO A DECIMAL:
Just type it in!!!
For example, =______
TRY: =
=
=
TO CHANGE A DECIMAL INTO A FRACTION:
Type in the decimal and press ______.
For example, 0.75 = ______
TRY:0.63 =
0.52 =
0.213 =
0.6 =
TO REDUCE A FRACTION:
Type in the fraction first. To reduce, press ______.
For example, reduces to ______
TRY: =
=
=
DOING THINGS WITH FRACTIONS:
Whenever you want to do something with a fraction (add something to it, multiply it by something, etc.), you MUST MUSTMUSTMUSTMUST
______.
ADDING, SUBTRACTING, MULTIPLYING, DIVIDING FRACTIONS:
Just type it in (with parentheses around each fraction). Get your answer as a reduced fraction by pressing______.
For example, to do , you type in ______.
The answer is ______.
TRY:
WHEN YOU HAVE “STUFF” ON THE TOP OR BOTTOM OF A FRACTION:
Type in the top and bottom separately. Then simplify!
For example, =
TRY:
The Basics - 3
Today, you will be able to:
BE CAREFUL when typing the following into your graphing calculator! The calculators have different requirements when typing in the following problems.
1.2.
3.4.
VERIFYING SOLUTIONS:
You can verify solutions on the calculator! Use ______.
5.Is the solution of the equation ?
6.Is the solution of the equation ?
Find the solution. Then verify your solution on the calculator.
7.8.
9.10.
The Basics - 4
Today, you will be able to:
1.Did you know there are two ways to solve ?
OPTION #1OPTION #2
2.Solve using both options:
OPTION #1OPTION #2
But, what about a problem like this? Can we use both options here?
3.
To get rid of a fraction directly next to a variable,
______!!
4.5.
6.7.
8.9.
The Basics - 5
Today, you will be able to:
In the MONOMIAL
The COEFFICIENT is ______.
The VARIABLEis ______.
In the BINOMIAL
There are ______TERMS.
The LEAD COEFFICIENT is ______.
The DEGREE is ______.
The CONSTANT is ______.
In the TRINOMIAL
There are ______TERMS.
The LEAD COEFFICIENT is ______.
The DEGREE is ______.
The CONSTANT is ______.
In the POLYNOMIAL
There are ______TERMS.
The LEAD COEFFICIENT is ______.
The DEGREE is ______.
The CONSTANT is ______.
PROPERTIES OF REAL NUMBERS
PROPERTY / NAMEPROPERTIES OF EQUALITY:
PROPERTY / NAMESolve:
Solve:
Solve:
Solve:
What are INTEGERS?
What are WHOLE NUMBERS?
What are RATIONAL NUMBERS?
What are IRRATIONAL NUMBERS?
What are REAL NUMBERS?
What are COMPLEX NUMBERS?
The Basics - 6
Today, you will be able to:
OPERATIONS WITH RATIONAL AND IRRATIONAL NUMBERS:
ADD & SUBTRACT / Rational + RationalRational – Rational /
/ Is this closed?
Irrational + Irrational
Irrational – Irrational /
/ Is this closed?
Rational + Irrational
Rational - Irrational /
/ ---
1.State whether is rational or irrational. Explain your answer.
MULTIPLY / (Rational)(Rational) // Is this closed?
(Irrational)(Irrational) /
/ Is this closed?
(Rational)(Irrational) /
/ ---
2.Determine if the product of and is rational or irrational. Explain your answer.
3.Given:
Which expression results in a rational number?
(1)L + M(3)N + P
(2)M + N(4)P + L
4.Jakob is working on his math homework. He decides that the sum of the expression must be rational because it is a fraction. Is Jakob correct? Explain your reasoning.
The Basics - 7
Today, you will be able to:
INEQUALITY SYMBOLS:
is greater thanis greater than or equal to
is less thanis less than or equal to
is not equal to
1.Name an integer value of x that satisfies the inequality .
2.Name an integer value of x that satisfies the inequality .
3.Name an integer value of x that satisfies the inequality .
4.Name an integer value of x that satisfies the inequality .
5.What is the smallest integer that satisfies the inequality ?
6.What is the smallest integer that satisfies the inequality ?
7.What is the largest integer that satisfies the inequality ?
COMPOUND INEQUALITY:
You can split the compound inequality into two inequalities:
______and ______
Compound inequalities will always include the inequality symbols
______or ______.
SET BUILDER NOTATION:
INTERVAL NOTATION:
( and) mean
[ and] mean
8.What is written in interval notation?
9.What is written in interval notation?
10.What is written in interval notation?
11.What is written in interval notation?
12.If x is a number in the interval , state all integers that satisfy the inequality . Explain how you determined these values.
13.If x is a number in the interval , state all integers that satisfy the inequality . Explain how you determined these values.
The Basics - 8
Today, you will be able to:
Perfect Square List:
Simplifying a Radical is ______
Express the following in simplest radical form.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
The Basics - 9
Today, you will be able to:
1.How many hours are there in 180 minutes?
Jeanette performed this conversion, as shown below:
2.How many inches are there in 4 yards?
Can we set up a ratio similar to Jeanette’s to solve this problem?
3.Which ratio can be used to change 75 kilometers per hour to meters per minute?
(1)(3)
(2)(4)
4.A construction worker needs to move 120 of dirt by using a wheelbarrow. One wheelbarrow load holds 8 of dirt and each load takes him 10 minutes to complete. One correct way to figure out the number of hours he would need to complete this job is
(1)
(2)
(3)
(4)
****ALWAYS START WITH THE UNIT YOU WANT IN YOUR ANSWER!!
5.Joseph typed a 1,200-word essay in 25 minutes. At this rate, determine how many words he can type in 45 minutes.
6.It takes Tammy 45 minutes to ride her bike 5 miles. At this rate,
how many minutes will it take her to ride 8 miles?
7.Roberta needs ribbon for a craft project. The ribbon sells for $3.75 per yard. Find the cost, in dollars, for 48 inches of the ribbon.
THE BASICS UNIT – STUDY GUIDE
The Basics – 1 and The Basics – 2
1.Simplify:2.Simplify:
The Basics - 3
3.Which value of x satisfies the equation ?
(1)1.2
(2)1.8
(3)1.6
(4)1.4
Solve for x:
4.
The Basics - 4
5.6.
The Basics - 5
7.In solving the equation , Tabitha’s next step was . What property justifies this step?
(1)addition property of equality
(2)subtraction property of equality
(3)multiplication property of equality
(4)division property of equality
8.A polynomial that has a degree of 3, a lead coefficient of 9, and a constant of 4 is
(1)(3)
(2)(4)
The Basics – 6
9.Is the product of andrational or irrational? Explain your answer.
10.Is the difference of and rational or irrational? Explain your answer.
The Basics - 7
11.Write in interval notation.
The Basics - 8
Express the following in simplest radical form:
12.13.
The Basics - 9
14.On a map, 1 centimeter represents 40 kilometers. How many centimeters are represented by 800 kilometers?
15.How many feet are there in 48 inches?
16.How many feet are there in 8 yards?