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- Missing both essential questions and formulas, sample problems, and solutions for 12 other figures/shapes.

Resubmit when complete for an increased grade.

Received a paper/pencil version on due date scored a 70%

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A=b*h

| Find the area of a parallelogram with a base of 12 centimeters and a height of 5 centimeters.A=b*hA=12*5A=60 cm2

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Area of rectangle-s*s
Find area of square with sides measuring two inches

A=s*s

A=2*2=4 in2

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Area of triangle- bh÷2,

Example 1: | Find the area of an acute triangle with a base of 15 inches and a height of 4 inches. |

Solution: A-½*bh
A=½*15*4
A=½*60 in sq
A=30 in2 |

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- Missing x,y rules
- Prime coordinates are points after a transformation has occurred.  Missing 2 more items as well.

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Set of values that shows exact position
Sample Problem:
Image:

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Transformation that produces an image the same shape as the original, but a different size
Sample Problem: A square with the coordinates of 4 dilated by 1/2 so it becomes 2
Image: This shows an example of dilation of

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The action of rotating around an axis or center
Sample Problem: After Point A (2,2) is rotated 90 degrees, it becomes (-2, 2)
Image: This shows an example of a figure rotating 90 degrees, from point A to point B, or vice versa

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Transformation in which a geometric figure is reflected across a line
Sample problem: Point A (2, 1) after rotating over the X xis becomes A' (-2, -1)
Image: This shows an example of reflection over the x axis 4 units

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Used to describe a function that moves an object a certain distance
Sample Problem: (3, 4) becomes (8, 6) after moving 5 units up and 2 units to the left
Image: This shows an example of translation as it says, moving 7 units left and 3 units down

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- Vertical angles are equal opposite angles created by 2 intersecting lines.
- You can not use one post for 2 items.

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What Is a Transversal?

A transversal is two parallel lines intersected by a third line at an angle. The third line is referred to as the transversal line. When this line happens, several angles are created. You can use these angles to find the measurements of other angles. When using transversals in geometry you can think about puzzle pieces fitting together.

Angles

There are eight different angles in a transversal. They are placed into five different categories. Knowing these angles can help you solve many geometric problems.

Supplementary Angles

Supplementary angles are pairs of angles that add up to 180 degrees. If you put two supplementary angle pieces together, you can draw a straight line across the top of the two angles. In essence, the two angles together make a half circle. Supplementary angles are not limited to transversals.

In this example, the supplementary angles are AB, CD, EF, GH and AC, BD, EG, FH.

Interior Angles

Interior angles are angles that are on the inside of the two parallel lines. In the example, the interior angles are angles C, D, E, and F.

Exterior Angles

Exterior angles are angles that are on the outside of the two parallel lines. In the example, the exterior angles are angles A, B, G, and H.

Corresponding Angles

Corresponding angles are two angles that appear on the same side of the transversal line. One of the angles must be an interior angle and the other must be an exterior angle. Corresponding angles are congruent, meaning that they are equal measurements.

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transversal in geometry: definition & angles - video & lesson transcript | study.com

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Transversal in Geometry: Definition & Angles - Video & Lesson Transcript | Study.com

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A transversal is two parallel lines intersected by a third line at an angle. The third line is referred to as the transversal line. When this line happens, several angles are created. You can use these angles to find the measurements of other angles.

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at right angles to a horizontal plane; in a direction, or having an alignment, such that the top is directly above the bottom.

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intersecting a system of lines

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The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

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the angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

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Two angles are Adjacent when they have a common side and a common vertex

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either of two angles whose sum is 180°

"C" of Complementary stands for "Corner"  (a Right Angle), and

"S" of Supplementary stands for "Straight" (180 degrees is a straight line)

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Proportional Relationships and Linear Equations Grade - 71

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Proportional Relationships and Linear Equations Grade - 71

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- Slope video is missing example values.

- Similar figures have congruent corresponding angles and proportional corresponding sides.

- Missing an example for similar figures.

- Linear equation parts posts does not show the different parts of the equation.

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Two shapes are Similar when the only difference is size (and possibly the need to move, turn or flip one around).

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Math Videos for Grade 8 Algebra 1

These short clips are the same videos many CMP3 teachers use to review key math concepts when they prepare to teach CMP3 lessons. Use these helpful videos to bolster your math knowledge as you help your student with homework. The video clips highlight important mathematical ideas and concepts in each CMP3 Unit in an easy-to-understand visual way.

Three Types of Solutions of a System of Linear Equations

There are three possible outcomes for a system of linear equations: one unique solution, infinitely many solutions, and no solution. This video shows an example of each type of outcome.

Thinking With Mathematical Models

Rectangles With Area 12: Graphing Factor Pairs
The Grade 6 Unit Prime Time covered the relationship between factor pairs of a number and rectangles with area equal to the number. By superimposing the factor-pair rectangles for a number on top of each other, students can see the symmetry of the factor pairs. This video shows the inverse variation relationship that results when you graph those factor pairs as coordinates.

Inverse variation refers to a nonlinear relationship in which the product of two variables is constant. In the context of these rectangles, the two variables are length ( I) and width (w). Their area, or the product of the variables l and w, is constant.

An inverse variation can be represented by an equation of the form y = k/ x, or xy = k, where k is a constant. In an inverse variation, the values of one variable decrease as the values of the other variable increase.

Looking for Pythagoras

The Pythagorean Theorem states that, if the lengths of the legs of a right triangle are Proving the Pythagorean Theorem a and b, and the length of the hypotenuse is c, then a ² + b ² = c ². This video shows a geometric proof of the Pythagorean Theorem.

Growing, Growing, Growing

When making tables, students usually generate each value in the table by working with the previous value. Either they add a constant to the previous value (in the case of linear relationships) or they multiply the previous value by a constant (in the case of exponential relationships). This process of generating a value from a previous value is called Exponential and Linear Functions recursion, or iteration. It is important to distinguish between a constant growth factor (multiplicative), as illustrated in an exponential function, and the constant additive pattern in linear functions. This video illustrates successive iterations for linear and exponential growth.

Frogs, Fleas, and Painted Cubes

When a quadratic expression is written in factored form, its factors are often The Distributive Property and Equivalent Quadratic Expressions binomial expressions, or simply binomials. A binomial is an expression with two terms. In this Unit, students do a bit of factoring and multiplying binomials to find equivalent expressions. This video shows how you can think of the area of a rectangle divided into four smaller rectangles as the product of two linear expressions, the result of multiplying the width by the length. This produces the factored form of a quadratic expression. You can also think of the area as the sum of the areas of the subparts of the rectangle. This generates the expanded form of a quadratic expression.

The height of a jumping frog can be represented by the quadratic equation Other Contexts for Quadratic Functions y = −16t ² + 12t + 0.2. This video describes the graph of the height of a frog over time. The frog is 0.2 feet (or 2.4 inches) tall, so his initial height, orh ₀, is 0.2. When the frog begins his jump, he takes off at a velocity of 12 feet per second, so v ₀ is 12. As the frog moves through the air, gravity slows his speed down, until he pauses for an instant at his maximum height. Then, gravity causes the frog to accelerate as he falls back toward the ground.

Butterflies, Pinwheels, and Wallpaper

This video shows how reflecting a figure in a line and then reflecting the image in an intersecting line has the same result as rotating the original figure about the intersection point of the lines by an angle equal to twice the angle formed by the reflection lines. Notice that reflecting the triangle Reflection in Intersecting Lines ABC in line 1 and then reflecting the image A′B′C′ in line 2 does NOT give the same result as reflecting triangle ABC in line 2 first and then reflecting the image in line 1.

It's In the System

Function Junction

So far in their study of quadratic expressions and functions, students have learned how both standard trinomial forms (for example, Relating Vertex Form and Transformations x ² + 5x + 6) and factored forms (for example, (x + 2)(x + 3)) reveal important information about the related functions and their graphs. This video shows how transformations of the basic quadratic y = x ² give clues to the form and location of the graph for quadratic functions expressed in what is called vertex form: y = a(x - h)² + k.

While the vertex form of a quadratic expression is very useful, once obtained, it is not a trivial task to take any standard trinomial form and transform it to equivalent vertex form. The process is called Completing the Square, Part 1 completing the square, because the tricky part is generating the (x - h)² perfect square term. This video gives a geometrical interpretation of a perfect square trinomial.

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These short clips are the same videos many CMP3 teachers use to review key math concepts when they prepare to teach CMP3 lessons. Use these helpful videos to bolster your math knowledge as you help your student with homework. The video clips highlight important mathematical ideas and concepts in each CMP3 Unit in an easy-to-understand visual way.

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The following lesson looks at what is slope and how to find the value of slope. Download for FREE and watch on Full Screen using iTunes, by typing the word "Papapodcasts" in the search window. Thank you for watching.

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Indirect Measurement Using Similar Triangles

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Constant of Proportionality (7th Grade Math, October 8)

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Scale Factor with Similar Figures: THE EASY WAY!

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Go to http://www.apluslearn.org/#!online-tutoring/u3heo for LIVE online tutoring! Learn how to apply the scale factor to find missing dimensions of similar and proportional figures. This example uses a scale factor to find the missing dimension of similar right triangles. Make Math easy with Math Motor Channel!

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Proportions - Basic examples and word problems

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Indirect measurement is a method of using proportions to find an unknown length or distance in similar figures

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The constant ratio between two quantities

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Proportion says that two ratios (or fractions) are equal

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A scale factor is a number which scales, or multiplies, some quantity.

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unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity

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- Graphs should match the statements.

- Greater than or equal to graph is incorrect.

- Greater than graph is not an inequality.

- Example problem for when to flip the symbol does not show the rule.

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Negative Numbers. There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

4b + 12 > 8 = b > -1

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Situations where inequalities can be used

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Situations where inequalities can be used

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if you have $100 to spend on groceries each week, your purchases must be <= $100.

each bus can hold <= 60 passengers

If your income is more than 10,000 but less than or equal to 24,000, then add the figure from column C. 10,000 < x <= 24,000.

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the magnitude of a real number without regard to its sign.

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a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

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the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”

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Less than or equal to

Is at most

Has maximum value

Example: Danny's grade is at most a 98

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is at least is not less than is not under

Example: Craig's grade is at least a 20

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Greater than

More than

Above

Example: Grace's grade was above 80 points

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Fewer than

Below

Less than

Example: Tyler had less than 7 chicken nuggets

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- Question 1 is how to turn a repeating decimal to a fraction.

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1. Find the nearest perfect square below that group.

2. The root of that perfect square is the first digit of our root.

3. Since 28 > 25 and 25 = 5², take 5 as the first digit in the square root.

4. For the divisor take double this first digit (2. · 5), which is 10.

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How to find fraction of repeating decimal

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How to find fraction of repeating decimal

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To turn a fraction into a decimal, divide the numerator by the denominator. For example:

.333333333333 is 1/3

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Simplifying cube roots - Perfect cubes and harder examples

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Learn how to simplify cube roots in this video. To see all my math videos, check out my channel at http://YouTube.com/MathMeeting.

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Pre-Algebra 20 - Converting Repeating Decimal Numbers to Fractions

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Commutative & Associative Properties of Addition

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Although the Greeks initially thought all numeric qualities could be represented by the ratio of two integers, i.e. rational numbers, we now know that not all numbers are rational. How do we know this?

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Modular Arithmetic and Historical Ciphers

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How To Find The Inverse of a Number ( mod n ) - Inverses of Modular Arithmetic - Example

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This tutorial shows how to find the inverse of a number when dealing with a modulus. When dealing with modular arithmetic, numbers can only be represented as integers ranging from 0 to ( the modulus minus 1 ). This tutorial shows one method that can be used when solving for an inverse of modular arithmetic.

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Definition and Example

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Shows what is and isn't a rational number

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This shows what cube roots of each number are

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Here is an example with definition

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With definition

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a number that produces a specified quantity when multiplied by itself

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When you multiply numbers by this, you get one

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Irrational Numberis any real number that cannot be expressed as a ratio of integers

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the number that produces a given number when cubed.

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a decimal fraction in which a figure or group of figures is repeated indefinitely.

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How would you explain to someone how to complete a multiplication problem that includes decimals? 

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How would you explain to someone how to complete a multiplication problem that includes decimals? 

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You just multiply how you would normally, and then add the decimals in the end. For example, 1.3 x 2.6=3.38 because you multiply like 13 x 26 and you get 338, and then you count the amount of # you have in the decimal and you get your anwser

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How would you explain to someone how to complete a multiplication problem that includes decimals? 

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How would you explain to someone how to complete a multiplication problem that includes decimals? 

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How would you explain to someone how to convert a mixed number to an improper fraction

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How would you explain to someone how to convert a mixed number to an improper fraction

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You multiply the denominator with the whole number then add the numerator. for example- 4 2/4 4 x 4=16+2=18 18/4 is your anwser

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How would you explain to someone how to convert a decimal to a fraction?

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How would you explain to someone how to convert a decimal to a fraction?

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For example, say you have 4.5. You use 4 as a whole number and then put 5 over ten (it can go from tens, hundredths, thousandths) and then simplify the fraction. 4.5 = 4 1/2

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How would you explain to someone how to convert a fraction to a decimal?

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How would you explain to someone how to convert a fraction to a decimal?

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1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s. Step 2: Multiply both top and bottom by that number.

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Improper Fractions and Mixed Numbers by Shmoop

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Rewrite 2/8 and 5/6 to have the same denominator.

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a fraction in which the numerator is greater than the denominator

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Fractions that look different, but are equal to each other

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a number consisting of an integer and a proper fraction

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a shared multiple of the denominators of several fractions