Math: Exam Review

A spread sheet organizes date in columns and rows.

Know the ratio of circumference to diameter of any circle is always the same.

Circumference divided by diameter is pi, 3.14

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Circle Formulas

c = π d
c = 2 π r
d = 2r
A = π r²

Are is the measure of space, a two dimensional shape covers

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Sectors of circle graphs are made from central angles.

If the sector covers 25% of the graph the central angle is 25% of 360° which is 90° (0.25 x 360)



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Integers
negative numbers represent values below zero and positive numbers represent values above zero.

eg. above and below ground or sea level

1+ (-2) = (-1) is an addition statement

3 - (-1) = 4 is an subtraction statement

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Opposite integers have the same numeral but a different sign e.g 3 and (-3)

Know what a
(+) + (+) =
(-) + (-) =
(+) + (-) =
(-) + (+) =
(+) - (+) =
(-) - (-) =
(+) - (-) =
(-) - (+) =

Practice with different numerals in each situation

Math: Exam Review p.2

Write an addition statement for the following diagram


5 + (-12) + 4 = (-3)

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Variable is an unknown number

expressions contains variables, operations. and numbers, in any combination. (not an equal sign)

Practice finding the pattern
eg. 24, 21, 18, 15. . .
and write equations for the patterns
e.g 27-3n

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Plot ordered pairs and determine whether or not they make a pattern

Determine the linear relation (equation) from a graph or table of values





Y= 2x

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Mean - add up all values divided by how many values three are.

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

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 the other values. (Big one take away the little one)

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Write expressions or equations when given pictures
eg.


Create diagrams or pictures when given the expression of equation.

Expression:
3x - 4

Equation:
2y + 3 = 15

Answer to Somgpong's Probability Question

Here is my sample space.

Heads, 1

Heads, 2

Heads, 3

Heads, 4

Heads, 5

Heads, 6

Tails, 1

Tails, 2

Tails, 3

Tails, 4

Tails, 5

Tails, 6

Probability Question

1)Jake flipped a coin, and spun the spinner below. Organize all the possible outcomes on a tree diagram.

a) What is the sample space?

b) Are these events independent events?

If you Are having trouble solving my question here's a video to help you.

Skip to 4 minutes, and 30 seconds.

Loading Strip, Ratio Table

Percent- means out of 100

eg. 30% means 30 out of 100 0r 0.30 or 30/100

How to make a Loading Strip

Percent on top

Number on bottom

Write the following percents as decimals

100% - 1

50% - 0.50

25% - 0.25

62.5% - 0.625

10% - 0.10

Using a loading strip model find:

50% of 45.80

Here's my answer.

Can you solve these questions?

25% of 50.00

10% of 72.40

What's your answer?

Ratio Table - is a Loading Strip turned sideways.

Find 75% of 16

Here's my answer.

Can you find these?

Find 69% of 90

Find 40% of 80

What's your answer?

Order Of Operation

When you are working with order of operation you need to know:

B- Brackets ()

E- Exponents 3²

D- Division ÷

M- Multiplication x

A- Addition +

S- Subtraction -

Now here are the rules:

1. First check if to see if there are any brackets in the math question.

2. Then check if there are any exponents in the math question.

3. Now check to see if there is multiplication or division in the math question from left to right.

4. Finally check to see if there is any addition or subtraction in the math question from left to right.

E.G.

1. 2 + 3 x 4 =

2 + 12 =

14 =

If you are still confused here's a video to help you understand about Order of operation

1.

Annie was asked to calculate 1.7 + 6 ÷ 2. She claims the answer is 3.85. Do you agree?

Explain why? or why not?

1. 7 + 6 ÷ 2 =

1.7 + 3 =

4.7 =

2.Put brackets in the following expression to get the largest value possible. What problem strategy did you use?

3 X (2.8) + (6.4÷4)=10

3. Create a problem that could be solved using the following expression.

(2.5)+1.25+5X(1.6)=11.75

E.G

1. Annie has been asked to calculate 1.7+6 divided by 2.She claims the answer is 3.85.Do you agree? i don't agree because if you use BEDMAS you would divided the answer first 6 divided by 2= 3 + 1.7 =4.7
2. Put brackets in the following expression to get the largest value as possible.What problem solving did you use? 3x(2.8)+(6.4)divided by 4=10.9
3. Create a problem that could be solved using the following expression. (2.5+1.25)+(5x1.6)=14

Anna and Jake calculated 2.5 + 1.25 + 5 x 1.6. Anna got 14, and Jake got 11.75. How do you think they got their answer? Who has the right answer?

Answer(my answer):

I think that Anna did the question like this:

2.5 + 1.25 + 5 x 1.6 = 14

I think that Jake did this:

(2.5 + 1.25) + (5 x 1.6) =

3.75 + 8 =

11

Jake added brackets so that he can make it easier.

What's your Answer?

If you want to practice your order of operations click this LINK.

Math Corection: Question 10

QUESTION: In which point is quadrant is point with coordinates (11, -6)?
ANSWER: The point (11, -6) is in Quadrants 4.