Definitions

Mean - add up all the values divide by how many values there are.

Median - The middle number in a set if ordered values might be the mean of 2 middle numbers.

Mode - The value that shows up the most.

Range - Positive difference between largest and smallest values

Outlier - values that are too BIG or too small compared to other values.

Transformation Definitions

Translation - Slide along a straight line .

Rotation - Turned about at a fixed point

Reflection - Mirror image

Decimals

        Know how to Add, Subtract, Multiply and Divide Decimals.

 Here are some examples.                                                                  
                                                                                                 1

Adding) 21.34  + 32.56 + 1.09 = 54.99  do it that way or           21.34

                                                                                         + 32.56

                                                                                         +   1.09 

                                                                                         =  54.99
Subtracting) 675.42 - 324.78 = 350.64 

Dividing) 678.987 ÷ 8.17 = 83.10734394 but round it off and you get 83.1


Multiplying) 29.47 x 7.33 =216.0151 but round it off and you get 216.02



                                                                                                

Lines Definitions

Parallel Lines - 2 lines that are on the same plane that NEVER meet.

Parallel Lines - 2 lines that are on the same plane that NEVER meet.

Perpendicular - Is lines that meet at 90 degrees angle.

Intersecting Lines - 2 lines that "cross" or "intersect" at any point

Formulas

Formula for Diameter is D=2r

        eg. Your radius is 4. If you multiply it by 2. so 4x2, it will equal to 8 so that's your diameter.

Formula for Radius is R=D 

                                    2 

         eg. Your diameter is 6. If you divide it by 2, so 6 ÷ 2. It will equal to 3 so that's your radius 

Formula for Circumference are C=2πr or C=πd

         eg. The diameter is 6, what is the circumference? you can do this 2 ways. 

 1) Using the diameter. 6xπ = 18.84

2) Using the radius. This one has an extra step. First you have to find the radius. 

6÷2=3 Then you do the formula. 3 x 2 x 3.14 = 18.84 

Formula for Area of Circle is A=πr^2            

               eg. The diameter is 8 what is the area?

1) You have to find the radius so 8 ÷ 2 = 4 

2) use the formula so 3.14 x 4 ^2 (squared) = 50.24

Pattern#2

Describe the pattern in your own words.

Use the last term of each question to help you with the next one. example.

for term 2. use term 1 then add 2! for term 3, use term 2 then add 2. Keep repeating the "pattern".

Chart

Prediction

I predict the 29th term would have 57 sticks

Graph

Algebraic Equation = Tx2-1

"nth" value.

47th value will have 93 sticks.

Definition of Numerical Coefficient

Numerical Coefficient

What is it? It is a number that multiples the variable.

Pattern

Describe the pattern in your own words.

Use the last term to help you with the next term! example, for term 3. Use term 2 picture then add one more box or "4 more sticks". Same goes for 4 and 5.

Chart

Prediction

I think the 29th term would be 116 sticks.

Graph

Algebraic equation is Tx4=S

"Nth vaule" for the 47th term it will be 188 sticks.

why? 47x4 = 188.

Definition Of Expression.

What is an Expression?

Any single number or variable or a combination of operations (-,+,x,÷). Involving numbers (1,2,3,4,5) and variables (T,A,N,R)

Definition Of Variables.

What is a Variable?

It's a letter that represents an "unknown number". eg, X,T,A,N

Adding with Unlike Denominators.

To add with Unlike Denominators you must follow these steps.

1)Find the common denominator but it must be the LCM (Lowest Common Multiple).

A Multiple- Is the product of any given number and natural number like 1,2,3.

eg. Multiple of 3 are ; 3,6,9,12,15,18,21 etc.

Multiples of 2 are 2,4,6,8,10,12,14,16,18 Multiple of 5 are 5,10,15,20,25,30,35,40

You can't add that, so you have to find the common multiple .

Multiple of 4- 4,8,12,16,20,24,28,32,

Multiple of 6 - 6,12,18,24,30,36,42

12 is the common multiple between those numbers.

The next step is to put " 12"(in this case) The new denominator and whatever you multiply in the bottom, you must do in the top.

The last step is to add it all up.

Page 215 #12

Jaymel's answer to this question is..

Is he correct?

A) No, he is not correct BECAUSE...

Rule for 6.

Divisibility Rule for #6

If the number is divisible by 2 AND 3 then it's divisible by 6. why? because 2 x 3 =6

EXAMPLE- 6396396

2 goes in because it ends with 6 an even number.

Now check if 3 goes in. add all the numbers up.

6+3+9+6+3+9+6 = 42 . 3 goes in 42 so it's divisible by 6.

If your not sure, take this extra step.

4+2 = 6 . 6 goes into 3. There for 6 goes in 6396396.

Page 146 #9

What is 40% of 180?

10% of 180 is 18. (1x18=18)

40% of 180 is 72. (4x18=72)

So 40% of 180 is 72.

Order Of Operations

4x3+12÷2=18

4x3+12÷2

Any Brackets? Nope, any Exponets? Nope, Any Division or Multiplication? Yes.
4x3 = 12, The Order goes from left to right. so Multiplication comes first in this question.

12+12÷2

Any Brackets? Nope, any Exponets? Nope, Any Division or Multiplication? Yes.

12÷2=6 Division comes next in this question.

12+6

Any Brackets? Nope, any Exponets? Nope, Any Division or Multiplication? Nope, and Addition or Subtraction? Yes.

12+8=18 Addition comes last in this question.

Answer is 18.

Here is a Website that might help!