Nate G. by Nate Garner _ Student - EastCaryMS

Absolute Value- The distance between any number and zero

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Variable- A letter or symbol used to represent any number

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Integer- Any Number besides zero

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EQ2: When working with multiplying and dividing integers with negatives numbers just know that if you have a odd number of negatives then the answer to your problem will be negative and if you have an even amount of negatives then the answer will be positive

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Expression: A mathematical phrase with no equal sign that includes values, variables, and/or operation(s

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EQ1: When working with adding and subtract integers, make sure to always add the opposites. When adding add the numbers together if there all the same symbol. If not than subtract .

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VARIABLE

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ABSOLUTE VALUE

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EXPRESSION

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INTEGERS

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Example: " 4b + 8c ( b= 3 & c= 7) Non Example: 4 + 8

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Example: |-9| = 9 Non Example: -9= 9

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Example: 7b+ 12s- 4 Non Example: 7c+ 3c = 10c

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Examples: -3,4,8,-1000, 5793, etc. Non Example: 0

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Riddle: Two integers have a difference of 6 and a sum of -18. What are the integers?

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Answer: -6 & -12

Synonym: formulate

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A formula has equations like an expression

The absolute value is 19. The number is not equal to its absolute value. What number am I thinking of?

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Answer: -19

Link

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https://www.mathsisfun.com/definitions/variable.html

Integers Grade - 94

2017-08-06 19:25:17 UTC

- Question 1 - Missing how you know if the answer will be positive or negative for the different types of problems.

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nrgarner — 2017-08-07 18:47:12 UTC

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EQ3: To multiply decimals you must multiply your decimals like you would do in a regular multiplication problem. To find your decimal spot you must add all the decimal places that the two or more numbers have. To figure out if your product is positive or negative you use the sleeping dog method.

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example: 0.03 × 1.1
multiply without decimal points: 3 × 11 = 33
0.03 has 2 decimal places,
and 1.1 has 1 decimal place,
so the answer has 3 decimal places: | 0.033

Mixed Number: A Mixed number is a whole number and a proper fraction combined

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Improper Fraction: A fraction in which the numerator is bigger than the denominator

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Common denominator: A shared multiple of the denominators of two or more fractions

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equivalent fractions: Fractions which have the same value, even though they may look different.

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EQ4: To divide decimals you must divide like you would do in a regular division problem. You will need to put the decimal point in the same spot of the dividend but besides that you divide like usual. To find your decimal point you put it directly above the dividend.

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example:

EQ5: To convert a mixed number to a improper fraction you must multiply the whole number by the denominator then add the numerator and you'll get your improper fraction

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Example

EQ6: Division: When you divide fractions you always want to follow the rule of KCF. KCF stands for K: keep the first fraction, C: change the symbol to multiplication, F: flip the second fraction. After you do this then you multiply straight across. After that you use the sleeping dog method to see if your quotient is negative or positive Multiplication: When you multiply fractions you want to make sure that you multiply across. In multiplication the multiply the two numerators together and the two denominators together and you'll get your product.

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examples:

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Rational Numbers Grade - 96%

2017-08-30 01:51:40 UTC

- Dividing with decimals answer should include that the number outside the house / denominator, must be a whole number.

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nrgarner — 2017-10-04 23:15:25 UTC

EQ2: To estimate the square root of a number you must think of what m=number multiplied by itself might equal the number or close to the number since it's just an estimate. For example if we were to estimate the square root of 81 then we would start thinking about what number multiplied by itself is 81 or close to 81. After thinking you would realize that the number that goes in when multiplied by itself is 9 because 9 x 9 = 81

nrgarner — 2017-10-05 11:18:34 UTC

EQ1:To convert a repeating decimal to a fraction you must fist start by turning your repeating digits into x. Then Put the repeating digits in front of were the digits start and when the first digits end. You may have to move your decimal point to do this so each decimal point you move is times 10x. After that subtract your two x's from each other and then divide the remaining x's by the amount of remaining x's and also divide the amount of repeating digits by the amount of x's and you will get your answer. EXAMPLE:

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Square Root: a number that produces a specified quantity when multiplied by itself

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Cube Root: the number that produces a given number when cubed

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Repeated Decimals:a decimal numeral that, after a certain point, consists of a group of one or more digits repeated.

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Irrational Numbers: A real number that can not be made by dividing two integers.

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Equations Grade - 94%

2017-10-09 14:14:47 UTC

- When estimating a square root you would think about the perfect square that is above and below the number. Ex. 56 is between 49 and 64 there for it is about 7.5.

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nrgarner — 2017-10-17 16:05:46 UTC

Inequality

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Comparing two things using symbols of < > /=

Solution Set

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Answer(s) that allow an inequality statement to be true

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Greater than More than Above

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You have more than 55 donuts in your mouth

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0--------->
|------------|-----------|
54 55 56

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Less than Below Lower than

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You have less than 85 slices of pizza today for lunch

<------- 0
|---------|---------|
84 85 86

Greater than or equal to No less than Minimum

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You must be no less than 60 in. to ride the little kid ponie ride

.----->
|--------|--------|
59 60 61

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Less than or equal to No more than Maximum

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You owe Big Cheese a maximum of $20
<--------.
|----------|-----------|
19 20 21

Inequalities Grade - 90%

2017-10-27 01:05:30 UTC

- Missing the question for why you flip an inequality symbol.

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nrgarner — 2017-11-15 23:25:36 UTC

The Four types of slopes

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Positive Slope

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y= 5/5x+1

Negative Slope

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y= -3/4x

0 Slope

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y= x+6

Undefined Slope

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x= -3

Unit Rate- The comparison of an amount to a measurement

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Proportion-a part, share, or number considered in comparative relation to a whole

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Scale Factor- The ratio of any two corresponding lengths in two similar geometric figures

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Constant of Proportionality- the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality

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To see if two figures are similar one they most be different sizes. Also you have to see if the length and width of each figure can go into each other.

nrgarner — 2017-11-16 00:38:20 UTC

In this photo the rectangles are different sizes but if multiplied by two then they would be the same

The parts of a linear equation are the x axis and the y axis. You can find the x axis in the line that goes across the chart. You can find the y axis on the line that goes up the chart

nrgarner — 2017-11-16 00:44:48 UTC

Proportional Reasoning and Linear Equations Grade - 86%

2017-11-21 00:38:24 UTC

- Slope values need to be given for 0 and undefined, Not just an example of an equation. y=x+6 would be an example of a positive slope also, not zero.
- Missing the linear equation y=mx+b and that the m is the slope and the b is the y-intercept.
- Similar figures also must have congruent corresponding angles and the same shape, but different size.

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nrgarner — 2018-02-18 18:19:27 UTC

GEOMETRIC PROPERTIES

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Triangle Sum Theorem: The sum of interior angles that add up to 180 degrees.

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Complementary Angles: Two angles whose sum is equal to 90

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Supplementary Angles: Two angles whose sum is equal to 180

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Vertical Angles: Two angles that are opposite from each other when two lines cross. They share the same vertex

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Adjacent Angles: Two angles that share the same vertex and one ray

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Corresponding Angles: When two lines are crossed by another line called a transversal

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Geometric Properties Grade - 97%

2018-02-26 01:16:14 UTC

- Corresponding angles definition is missing that they are in the same relative location and are equal.

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nrgarner — 2018-03-05 13:31:36 UTC

Dilation: A transformation that moves each point along a ray which starts from a fixed center, and multiplies distances from the center as a common factor.

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Translation: Moving an object so that every point of the object moves in the same direction as well as the same distance.

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Reflection: A flipping of an object over a line which is known as the line of reflection.

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( tap on image)

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Rotation: A transformation preformed by spinning the figure around a fixed point. The fixed point is called the center of rotation

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Prime Coordinate: The coordinates on a graph after an transformation

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Transformation Task:

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When Rotating 90* Counter clockwise your y always changes and your x stays the same. (x,y)---> (x,-y). When rotating 90* clockwise then your x changes instead of your y changing. (x,y)----> (-x,y). If rotated 180* then x and y changes.

When Reflecting the Y axis then your x axis will change and your y axis will stay the same. (x,y)--->(-x,y). If you reflect the x axis then your x axis stays the same and your y axis changes. (x,y)---->(x,-

Transformations Grade - 96%

2018-04-04 19:49:08 UTC

- Website for prime coordinates is incorrect.

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nrgarner — 2018-04-30 15:36:06 UTC

Formula For Area of a Triangle: 1/2 bh

nrgarner — 2018-04-30 15:36:42 UTC

Jim has a toy house set that he has to put together. If his triangular roof is 3 inches long and the height is 2 what is the area?
1/2 x 3 x 2
Answer: 3 units^2

Formula For Area of a Trapezoid: 1/2 h(b1+ b2)

nrgarner — 2018-04-30 15:41:54 UTC

1/2 x 4(12+6)= 36
Answer: 36m^2

Formula For Surface Area of a Triangular Prism: bh+H(S1+S2+S3)

nrgarner — 2018-04-30 22:17:38 UTC

16 x 12 + 10(16+20+12)= 672
Answer: 672 cm^2

Formula For Volume of a Sphere: 4/3πr^3

nrgarner — 2018-04-30 22:39:16 UTC

4/3 x 3.14 x 5^3= 523.33333
Answer: 523.3m^3

Formula For Surface Area of a Square Pyramid: bh + bh x 2

nrgarner — 2018-04-30 22:47:49 UTC

5 x 4.5 + 5 x 4.5 x 2= 67.5
Answer: 67.5 in^2

Formula for Area of a Rectangle: L x W

nrgarner — 2018-04-30 23:00:39 UTC

2.5 x 4= 10
Answer: 10m^2

Formula For Area of a Circle: πr^2

nrgarner — 2018-04-30 23:05:27 UTC

3.14 x 3.5^2 = 38.465
Answer: 38.465 cm^2

Formula For Area of a Parallelogram: b x h

nrgarner — 2018-04-30 23:12:32 UTC

20 x 30 = 600
Answer: 600 units^

Formula For Circumference of a Circle: D x π

nrgarner — 2018-04-30 23:15:58 UTC

D= r x 2
D= 7
3.14 x 7= 21.98
Answer: 21.98 cm^2

Formula For Surface Area of a Cylinder: 2πr^2 + h x π x d

nrgarner — 2018-04-30 23:23:13 UTC

2 x 3.14 x 4^2 + 12 x 3.14 x 12= 552.64
Answer: 552.64 in^2

Formula For Volume of a Cylinder: πr^2 x h

nrgarner — 2018-04-30 23:31:30 UTC

3.14 x 4^2 x 10= 502.4
Answer: 502.4 in^3

Formula For Volume of a Cone: 1/3 πr^2 x h

nrgarner — 2018-04-30 23:38:56 UTC

1/3 x 3.14 x 3^2 x 8= 75.36
Answer: 75.36 in^3

Formula For Surface Area of a Rectangular Prism: 2( L x W + W x H + L x H)

nrgarner — 2018-04-30 23:50:08 UTC

2( 8 x 3 + 3 x 5 + 8 x 5)= 158
Answer: 158 in^2

Formula For Volume of a Square Pyramid: 1/3 b^2 x h

nrgarner — 2018-05-01 00:05:54 UTC

1/3 x 16^2 x 15= 1280
Answer: 1280 units^3

EQ1: The difference in finding the area is that in inscribed shapes you subtract your two areas in the shape to get the area of the shaded region. While in compound shapes you add your different areas together to get your final area.

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Inscribed Shape

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The outside square has a length of 12. The square in the middle has a length of 4. If the area outside the middle square is shaded what is the area of the shaded region?

nrgarner — 2018-05-01 00:35:04 UTC

Outside square: 12 x 12 = 144
Inside square: 4 x 4= 16
shaded region: 144-16= 128
Answer: 128 units^2

Composite Shape

nrgarner — 2018-05-01 00:38:52 UTC

1st Square: 3 x 4= 12
2nd Square: 5 x 4= 20
Whole Shape: 20 + 12
Answer: 32 cm^2

EQ2: What you do when the dimensions of a two dimensional shape are changed is find the two scale factors that the dimensions were changed by and multiply them together and then you get your answer.

nrgarner — 2018-05-01 00:43:03 UTC

Shape 1: a rectangle with a length of 2 and width of 3. What would happen if both dimensions were tripled?

nrgarner — 2018-05-01 00:48:40 UTC

scale factor 3
3x3= 9
2 x 3= 6
9x 6= 54
54/6= 9
9 times greater

Shape 2: A square with a length of 4 and a width of 4. what would happen if they were doubled?

nrgarner — 2018-05-01 00:54:19 UTC

Scale factor 2
4 x 2= 8
4 x 2= 8
8 x 8 = 64
64/16 = 4
4 times greater

Formula For Volume of a Triangular prism: 1/2 bh x h

nrgarner — 2018-05-01 01:04:54 UTC

1/2 x 10 x 12 x 14= 840
Answer: 840 mm^3

2d/3d Grade - 100%

2018-05-02 17:45:45 UTC