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Requested materials for 7th Grade Math:

2-pocket folder          Scientific calculator

loose leaf paper        protractor and ruler

erasers                     pencils

book Cover               3-ring binder

For incoming 7th graders the extra credit assignment for next year can be downloaded here. At the bottom of this page click on the link and print it out.

Most weeks we take either a test of a quiz. Students are encouraged to make corrections (on another piece of paper, showing all work). The corrections should help students better understand the material and improve their grade.

POWs can be found under "document manager" found on the left side of this page.

Welcome to Mrs. Harrison's Website. Below you will find some of the important concepts we'll be studying in 7th Grade. Also, I try to have the week's homework assignments posted by Monday afternoon. Be sure to check it if there is any question about what a child should be completing for class.

Materials needed for math class each day:
3-ring notebook to be used only for math
loose-leaf paper
2-pocket folder
LOTS of pencils with erasers
protractor
scientific calculator (about $10 at Walmart... used in 7th and 8th grade)

ORDER OF OPERATIONS: Parenthesis Exponents Multiplication & Division (done left to right as found in equation) Addition & Subtraction (done left to right as found in equation) You must compute answers within an equation in the above order or your answer will be inaccurate. Remember, negative signs count!

45 - (4 x 2)³

45 - (8)³

45 - 512

-467

Integer Rules

Adding Integers
The sum of 2 positives is positive. The sum of 2 negatives is negative.
Example: -3 + -4 = -7
To add 2 integers with different signs, find the DIFFERENCE of their absolute values. The sum has the sign of the integer with the greater absolute value.
Example: -6 + 4 = -2 (6-4=2. There were more negatives when you started, so the answer is negative.)

Subtracting Integers
To subtract an integer, add its opposite.
Example: - 4 - (-6) = +2 (change to -4 + (+6) then follow rules for adding integers)

Multiplying Integers
The product of 2 integers with the same sign is positive.
Example: -6 x -3 = +18
The product of 2 integers with opposite signs is negative.
Example: +4 x (-2) = -8

Dividing Integers
The quotient of 2 integers with the same sign is positive.
Example: -35 divided by -7 = +5
The quotient of 2 integers with opposite signs is negative.
Example: -16 divided by +2 = -8

To solve an equation for x, do the INVERSE operation of the term that is on the same side of the equal sign as the x. This inverse number must be done on BOTH sides of the equation.

ex. x-8 = -2
x - 8 +8 = -2 +8
x = 6

To solve a 2-step equation, first do the inverse of the constant term, THEN do the inverse of variable term.

ex. 3x + 4 = 16
3x + 4 + (-4) = 16 + (-4)
3x = 12
3x (divided by 3) = 12 (divided by 3)
x = 4

A SEQUENCE is a set of numbers that follows a pattern. Each number in a sequence is called a TERM.
Two types of sequences are Arithmetic Sequences & Geometric Sequences. An Arithmetic Sequence is found by adding a fixed number to the previous term (the number might be negative). A Geometric Sequence is found by multiplying the previous term by a fixed number (the number might be a fraction).

To add polynomials, add the coefficients of the like terms.
ex. (3x + 4) + (-5x + 2) = (3+ -5)x + (4 + 2)
= -2x + 6

To subtract polynomials, keep the first polynomial, but negate each term of the second polynomial, then combine.
ex. (3x + 4) - (-5x + 2) = (3x + 4) -(-5x) -(2)
= 3x + 4 +5x -2
= 8x + 2

PYTHAGOREAN THEOREM- used to find the third side of a right triangle
2     2      2
a + b = c
(a squared, plus b squared, equals c squared; where a and b are legs of the right triangle, and c is the hypotenuse.)