Decimal Practice

I am out today. Please use this time to prepare for your test tomorrow. Work on the decimal Practice handouts and view the videos for additional help. Testing will resume tomorrow so please come in. Thanks

Agenda

6:00 – 9:00  Decimal Practice

Break 7:15 – 7:30

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Working with Decimals

To add decimals, write the numbers below one another in columns. Line them up according to their place-value. Be sure to write the decimal point in your answer. VIDEO

To subtract decimals, write the number being subtracted below the staring amount. Line up the decimal points to line up the digits. Write zero to fill the places where there are no digits. Then subtract as usual, regrouping as needed. Be sure to write the decimal point in your answer. VIDEO

When you multiply decimals, do not line up the decimal points. Multiply as with whole numbers. Count the decimal places in each factor–the total of the decimal places in the number of places that should be in the answer. VIDEO

To divide by decimals

Rule 1 : First we begin with given problem values.

Rule 2 : And then we divide the given problems without decimals
Rule 3 : After that put decimal places for that numbers.
Rule 4 : Finally specify the solution.

Question 1: Divide 4.8 by 0.6

Question 2: Divide 6.6 by 6

Question 3: Divide 1.2 by 0.3

Dividing Decimals by Whole Numbers

For dividing decimal by whole, place the decimal point in the quotient directly above the decimal point in the dividend. Then follow the normal division method what we do with whole numbers division. After the division is over we get the quotient, place the decimal point in the place based on the decimal point in the dividend given.

Question 1: Division of decimals by whole numbers 18.8/2

Question 2: Division of decimals by whole numbers 30.3/3

Dividing Decimals by Decimals

Dividing Decimals by decimal numbers can be explained by the following example.

Step 1 : Convert the decimal number you are dividing into whole number first, that is done by shifting the decimal point to the extreme right.

Step 2 : Following the steps explained for division of a decimal number by whole number.

Step 3 : Now change the decimal point position to right of the value obtained in Step 2 that many times you shifted right in the step 1.

Question 1: Divide 6.6 by 2.2

Exponents

Agenda
6:05 – 6:15 Multiplication Drills
6:15 – 7:15 Exponents
7:15 – 7:30 Break

7:30 – 9:00 Exponents

The exponent of a number says how many times to use the number in a multiplication.

In 8² the “²” says to use 8 twice in a multiplication,
so 8² = 8 × 8 = 64

Example: 5³ = 5 × 5 × 5 = 125

• In words: 5³ could be called “5 to the third power”, “5 to the power 3” or simply “5 cubed”

Example: 2⁴ = 2 × 2 × 2 × 2 = 16

• In words: 2⁴ could be called “2 to the fourth power” or “2 to the power 4” or simply “2 to the 4th”.

Negative Exponents – What could be the opposite of multiplying? Dividing!

• A negative exponent means how many times to divide one by the number.
• Example: 8^-1 = 1 ÷ 8 = 0.125

What if the Exponent is 1, or 0?

1		If the exponent is 1, then you just have the number itself (example 91 = 9)
0		If the exponent is 0, then you get 1 (example 90 = 1)

Exponents Handout

(Source: Math is Fun)

Prime Factorization

Agenda

6 – 7:15 Prime factorization / Factoring

7:15 – 7:30 Break

7:30 – 9:00 Prime factorization / Factoring

Review: A prime number is a counting number that only has two factors, itself and one. Counting numbers which have more than two factors (such as six, whose factors are 1, 2, 3 and 6), are said to be composite numbers. The number one only has one factor and is considered to be neither prime nor composite.

Prime factorization is a way of expressing a number as a product of prime numbers. The prime numbers used in the product statement are called the prime factors of the number.

Prime Factorization

Agenda

6 – 7:15 Prime factorization / Factoring

7:15 – 7:30 Break

7:30 – 9:00 Prime factorization / Factoring

Review: A prime number is a counting number that only has two factors, itself and one. Counting numbers which have more than two factors (such as six, whose factors are 1, 2, 3 and 6), are said to be composite numbers. The number one only has one factor and is considered to be neither prime nor composite.

Prime factorization is a way of expressing a number as a product of prime numbers. The prime numbers used in the product statement are called the prime factors of the number.

Practice Prime Factors (C) & (D) – Use a tree diagram to find the prime factors of each number.

Video on Prime Factorization (Simple Number)

Video on Prime Factorization (Complex Number)

Math is Fun Resource

Math Rules

Prime Factoring and Factor Trees

Agenda

6 – 7:15 Prime factorization / Factoring

7:15 – 7:30 Break

7:30 – 9:00

Vocabulary: composite number, divisible, factor, factor tree, multiple, prime factorization, prime number, product

A prime number is a counting number that only has two factors, itself and one. Counting numbers which have more than two factors (such as six, whose factors are 1, 2, 3 and 6), are said to be composite numbers. The number one only has one factor and is considered to be neither prime nor composite.

Prime factorization is a way of expressing a number as a product of prime numbers. The prime numbers used in the product statement are called the prime factors of the number.
Example:
24 = 2 x 2 x 2 x 3.  This statement is the prime factorization for the number 24. The numbers 2 and 3 are the prime factors of 24.

Prime factorization trees
Prime factorization trees indeed demonstrates the process of repeated and progressive division explained above.
Prime factorization trees are commonly known as factor trees. The factor tree for 72 can be shown as follows:

   72
/\
2   36
/\
2  18
/\
2   9
/\
3  3

Video on Prime Factorization (Simple Number)

Video on Prime Factorization (Complex Number)

Math is Fun Resource

Reading Practice 4/15 – 4/17

Agenda

6:00 -7:15 Article #1

7:15 – 7:30 Break

7:30 – 9:00 Article #2

Article #1 Read the article found here and answer the questions below.

WHY is Arlan Jaska “just the type the Department of Homeland Security is looking for”?
WHY do you think security expert Alan Paller means when he says, “No one is even teaching this in schools. If we don’t solve this problem, we’re in trouble.”

HOW many hackers does the Department of Homeland Security estimate it needs to “play defense” against foreign hackers?
HOW is the agency trying to show young people how “cool and exciting” Web skills can be?

WHAT is the Cup Cyber Challenge, and WHAT was the five-level test the high school students had to pass to win?

WHERE did the idea for using competitions to lure the next generation of digital warriors come from, in part?

WHO is Tan Dailin?

WHEN have there been previous competitions like this, though not for high school students?

Article #2 Read the article found here and view the video. Then answer the questions below.

WHO has NBC selected to replace the “Tonight Show” host Jay Leno when his contract ends?
WHO was the “Tonight” host before Mr. Leno?
WHO does NBC see as its biggest late-night competitor?
WHO is your favorite late-night host?

WHERE will “The Tonight Show” move?

WHEN is the switch expected to take place?
WHEN, according to this timeline, did NBC make transitions in “Tonight” since 1990?

HOW is Jimmy Fallon’s comedy style different from Mr. Leno’s?
HOW has NBC fumbled with previous “Tonight Show” transitions?

WHY would Mr. Fallon prefer to stay in New York City instead of filming the show in Burbank, Calif.?

WHAT show is Mr. Fallon currently the host of?
WHAT other late-night shows are based in New York City?

Reading Practice 4/15 – 4/17

Agenda

6:00 – 7:15 Article #1

7:15 – 7:30 Break

7:30 – 9:00 Article #2

Article #1: Read Article found here and view the video. Answer the questions below.

WHO did Rutgers fire on Wednesday?

WHY did Rutgers fire him?

WHAT punishment did Mike Rice receive in December from the university’s athletic director, Tim Pernetti?
WHAT media outlet broadcast video this week showing Rice’s conduct at practices, bringing the issue to national attention?

WHEN did Rutgers hire Mr. Rice?

WHERE is Rutgers located?

HOW do you feel about Rutgers’s initial decision to suspend Mr. Rice for three games with a $50,000 fine in December after first reviewing the evidence?
HOW do you feel about Rutgers’s decision to fire Mr. Rice after the video of him taunting and abusing his players went viral?

Article #2 Read Article found here. Answer the questions below.

WHAT are the new teacher evaluation systems intended to do?
WHAT results have been reported for teachers in Florida, Tennessee and Michigan?

WHO finds these results “worrisome”?
WHO is Sandi Jacobs?

HOW are teachers now evaluated in states that have adopted the new measures?
HOW has the observation portion of teacher evaluations changed under the new systems?

WHY have some people quoted in the article criticized the new assessments?
WHY does Randi Weingarten, president of the American Federation of Teachers, nevertheless argue that the results show that “the majority of teachers are very good”?

WHERE were 400 teachers fired as a result of the new system?

WHEN was the new method for evaluating teachers put into place in Washington, D.C.?

Reading Practice 4/15 – 4/17

Agenda

6:00 – 7:15 Article #1

7:15 – 7:30 Break

7:30 – 9:00 Article #2

Article #1: Read Article found here. Answer the questions below.

WHO is Senator Joe Manchin III?
WHO is Senator Patrick J. Toomey?

WHAT compromise have they put together?
WHAT role are many families of the Newtown, Conn., shooting victims playing in the legislative process?
WHAT did the Senate vote to allow on Thursday morning?

WHY did the senators ask Senator Charles E. Schumer of New York to not appear at a news conference with them on Wednesday?
WHY is it so hard for Congress to pass new gun legislation?

HOW does Senator Manchin and Senator Toomey’s legislation change the rules for some gun purchases?
HOW does the bipartisan bill enhance some gun rights?
HOW did your two senators vote on the motion to allow the full Senate to debate gun legislation next week?

WHEN did the assault weapons ban expire?

WHERE do you think this gun legislation is headed? Do you think Congress will vote to expand background checks? Why?

Article #2 Read Article found here. Answer the questions below. 

WHAT is restorative justice?

WHERE is this new approach to discipline taking root?

HOW does restorative justice work?
HOW would you feel about your school adopting a restorative justice program?

WHO is Eric Butler?

WHY did schools in Oakland, Calif., face a Department of Education civil rights investigation?
According to Damon Smith, WHY do some young people consistently “mess up” in school?
WHY do you think evidence suggests that zero-tolerance policies, and suspension and expulsion for students, frequently don’t work?

WHEN have you gotten in trouble in school?

Fractions 4/3, 4/8, 4/9

Agenda

6:00 – 7:15 Fraction Practice

7:15 – 7:30 Break

7:30 – 9:00 More Fraction Practice

To Add Fractions:
1. We need to find something called the least common denominator (LCD).
2. Then, we add the numerators.
3. The denominator of your answer will be the same denominator of the built-up fractions.
4. As always we have to reduce or simplify the answer, if needed.
Note: We Do Not Add denominators!

To Subtract Fractions:

1. We need to find something called the least common denominator (LCD).
2. Subtract the numerators of the fractions.
3. The denominator of the answer will be the common denominator or the denominator of the built-up fractions, whichever applies.
4. Reduce or simplify the answer, if needed.
Note: We Do Not Subtract denominators!

To Multiply Fractions:
Multiply the numerators.
Multiply the denominators.
Simplify or reduce the resulting fraction, if possible.
2/3 X 4/5 = (2 X 4)/(3 X 5) = 8/15

Dividing Fractions
To divide fractions, convert the division process to a multiplication process by using the following steps.
Change the “÷” sign to “x” and invert the fraction to the right of the sign.
Multiply the numerators.
Multiply the denominators.
Re-write your answer in its simplified or reduced form, if needed.

Reducing Fractions Worksheet

Addition Worksheet

Subtraction Worksheet

Multiplication Worksheet

Division Worksheet