New Student Data Form (Read and answer carefully)
Please fill out the survey as soon as possible. This will help me get to know you a little bit better and have the ability to contact you concerning your progress in class. This survey should take you about 10 minutes to complete.
Procedures
Attend to personal needs before coming to class.
Be nice / respectful to all. When you arrive, please come in and sit down quietly
Good learning environments are quiet. Please close the door quietly behind you
Remain in your assigned seat unless you have permission to get up.
Respect for the rights of others to quiet learning environment.
Keep your electronic devices at home or in a backpack
Standby/Lockdown: All doors will be locked quickly. Remain calm and quiet. Stay away from windows and doors.
Fire Drill: Leave classroom in an orderly manner. Walk quickly, quietly, and with consideration for others, following the designated exit plan. Move away from the building and stay together.
One of the requirements of 7th grade math is that you need to be a master of basic math skills—computation with fractions, decimals, and percents—without using a calculator. These skills are critically important to your success in math for the rest of your life.
By the end of the year, you will need to show mastery of these basic skills:
You will memorize single digit multiplication facts so that you can do 20 problems in 1 minute. (Times Tables)
You will do double-digit multiplication.
You will do multi-digit division with remainders.
You will do operations with whole numbers, decimals and fractions (addition, subtraction, multiplication and division), recognition of decimals, fraction and percent equivalencies.
Knowing your personal strengths and weaknesses in math is very important.
Verify your skill level to ensure success in Math 7th
The purpose of the diagnostic exam is to make sure that those taking the course have good math skills
Do not forget to write your Name and ID number
A decimal is any number in our base-ten number system.
The position of the digit in the decimal number determines the digit’s value.
Decimals show numbers that are in between two whole numbers. A decimal has two parts, the integer part and the fractional part, which starts with the dot character. Example:
As an example of a decimal number, let’s take the number 65.894
Sixty-five and eight hundred and ninety -four thousandths
The number after the decimal point can be collectively pronounced as 8 tenths, 9 hundredths and 4 thousandths or, more simply, as 894 thousandths.
Decimal Place Value Poem:
Reading Decimals is easy you’ll see,
They have two names like you and me.
First, you say the name as if there were no dot,
Then you say the name of the last place value spot!
Decimal values con be written as a decimal fraction (fractions with a denominator of 10, 100, 1000, …)
Decimal Standard Form to Word Names:
0.8 = eight tenths
0.95 = ninety five hundredths
0.345 = three hundred forty five thousandths
Hint: When writing a decimal number that is less than 1, a zero is normally used in the one´s place.
Comparing decimals is similar to comparing whole numbers. When we compare decimals we use place value.
1) Line Up Decimal Points
2) Start at the left and find the first place where the digits differ.
3) Compare the digits
Hint. Add zero’s to make all the decimals have the same place value name.
Example: Arrange the following numbers from least to greatest (in Ascending Order) 0.17, 0.085, 0.2
Align decimal points and place values, write a place keeper if needed. (Pretend it’s money)
Remember: Writing zeroes to the right of the decimal does not change its value
To arrange first make all decimal places same and comparing two decimals at a time.
0.085< 0.17
0.085 < 0.2
0.17 < 0.2
0.085 < 0.17 < 0.2
Ordering these decimals from least to greatest we get: 0.085, 0.17, 0.2
When we compare decimals we can use a number line.
Numbers to the right are greater than numbers to the left.
Example: Compare 3.6 and 3.25
3.25 < 3.6
Three Steps to Round Decimals
(1) Underline the digit to be rounded
(2) Look at the number on the right of the underlined number.
* If it’s 5 or more, add one more to the underlined number.
* If it’s 4 or less, keep the underlined number the same.
(3) Eliminate the digits beyond the place being rounded.
Example:
Add/Subtract decimals.
(1) Align your decimal point and place value.
(2) Write place keepers if needed
(3) Add or subtract
(4) Keep your decimal point.
Adding, Subtracting Decimals Help
To multiply a decimal number by a whole number
Ignore the decimal point and multiply the digits. Place the decimal point in the answer so that it has the same number of decimal places as the number being multiplied
Ex: 2.22 X 43 = 95.46
Multiply Decimals by powers of ten
0.5 x 10 = 5
0.5 x 100 = 50
0.5 x 1000 = 500
0.5 x 10000 = 5000
Hint: Just move the decimal point one place to the right for each zero you see after the 1
To multiply a decimal by a power of ten, just move the decimal point to the right as many times as there are 0’s. (Add 0’s if there are not enough digits).
Divide decimals by powers of ten
0.5 ÷ 10 = 0.05
0.5 ÷ 100 = 0.005
0.5 ÷ 1000 = 0.0005
0.5 ÷ 10000 = 0.00005
You can divide by powers of 10 simply by moving the decimal point one space to the left for every zero in the power of 10 that you are dividing by. (Add 0’s if there are not enough digits).
To multiply a decimal number by a decimal number
Ignore the decimal points and multiply the digits; count the total number of decimal places in both decimal numbers being multiplied; and place a decimal point in the answer so that it has the same number of decimal places as the total number of decimal places in the two numbers being multiplied
To divide a decimal number by a whole number
In order to divide the given decimal number by the given whole number use Long Division (ignore the decimal value). Now place the decimal value at the place the dividend has before.
To divide a decimal number by a decimal number
Move the decimal point in the divisor to the right until it is a whole number.
Move the decimal point in the dividend to the right by the same number of places as the decimal point was moved to make the divisor a whole number.
Then divide the new dividend by the new divisor
A Fraction is an expression that indicates the quotient of two quantities (it is a way of representing division of a ‘whole’ into ‘parts’), such as ¾
3/4 is read as two thirds (or three quarters).
A Common Fraction is a fraction written in the form of two whole numbers, one above the other, separated by a line.
The numerator tells how many parts are being considered. The denominator tells the total number of equal parts (the whole).
Identify fractions on number lines
Equivalent Fractions
Equivalent fractions are fractions that may look different, but are equal to each other.
You can convert all fractions to decimals dividing the numerator by the denominator.
1/2= 0.5
2/4 = 0.5
3/6 = 0.5
4/8 = 0.5
We can use cross multiplication to decide whether two fractions are equivalent.
Reduce Fractions to Lowest Terms
A fraction is in lowest terms when the numerator and denominator have no common factor other than 1.
In order to work with fractions efficiently, it is important to reduce the fraction to lowest terms.
To reduce do the prime factorization. Write the numerator and denominator as a product of prime factors and divide by the common factors.
The new fraction is still equivalent to the original fraction.
Ladder Method for simplify fractions
Greatest Common Factor (GCF), is the greatest factor that divides two numbers.
The GCF of 24 and 36 is 2x2x3= 12
Example:
Compare 1/3 and 1/2 using circle models.
Compare 1/3 and 1/2 using the number line
Fractions get larger from left to right. (least –> greatest)
Comparing fractions using their decimal equivalents.
To convert fractions to decimals you just divide the numerator by the denominator.
Rule:
Example:
These fractions are equivalent.
A fraction is in lowest terms when the numerator and denominator have no common factor other than 1.
In order to work with fractions efficiently, it is important to reduce the fraction to lowest terms.
To reduce do the prime factorization. Write the numerator and denominator as a product of prime factors and divide by the common factors.
The new fraction is still equivalent to the original fraction.
• Write numerator and denominator on one line
• Draw the L shape
• Divide out common prime numbers (starting with the smallest)
• Simplified fraction is in the bottom
Greatest Common Factor is the greatest factor that divides two numbers.
The GCF of 24 and 36 is 2 x 2 x 3= 12
Subtraction with Like Denominators
Adding and Subtracting Fractions with like denominators
We MUST have common denominators before we can add or subtract.
Addition with Unlike Denominators
Subtraction with Unlike Denominators
Adding and Subtracting Fractions with Unlike Denominators