2nd Period click here to go to Desmos and Play Guess Who with Lines.
Part 2 click here.
6th Period click here to go to Desmos and Play Guess Who with Lines.
Part 2 click here.
To practice Classifying Real Numbers click here.
In this unit we went over Real Numbers and the classification system that is set up with Real Numbers. Here is the Rational Numbers Poster we created in class
We used Nesting boxes to demonstrate how the sub groups are inside each other.
Watch a video about ordering number here!
To order numbers there are a couple steps to follow.
1st: Convert all you numbers to decimals
2nd: Convert these to percents
3rd: Label a number line
4th: Put your numbers on the number line
To put numbers in order, place them from lowest (first) to highest (last).
This is called “Ascending Order”.
Example: Place 17, 5, 9 and 8 in ascending order.
Sometimes you want the numbers to go the other way, from highest down to lowest, this is called “Descending Order”.
Example: Place 17, 5, 9 and 8 in descending order.
Scientific notation is about writing really big and really small numbers in an equivalent form.
We normally write numbers in what we call STANDARD NOTATION, but we can also write this number in SCIENTIFIC NOTATION.
For example the number three hundred and twenty.
STANDARD: 320
SCIENTIFIC NOTATION: 3.2 × 10^{2}
When given a number in scientific notation you can easily convert the number to standard notation.
Example #1
Convert from Scientific Notation: 3.6 × 10^{12 }
to Standard Notation
Now, since the exponent on 10 is positive, I know they are looking for a LARGE number, so I’ll need to move the decimal point in the positive direction (to the right), in order to make the number LARGER. Since the exponent on 10 is “12“, I’ll need to move the decimal point twelve places over.
First, I’ll move the decimal point twelve places over. I make little loops when I count off the places, to keep track:
Then I fill in the loops with zeroes:
In other words, the number is 3,600,000,000,000, or 3.6 trillion
Example #2
Convert 4.2 × 10^{–7} to standard notation.
Since the exponent on 10 is negative, I am looking for a small number. Since the exponent is a seven, I will be moving the decimal point seven places. Since I need to move the point to get a small number, I’ll be moving it to the left. The answer is 0.00000042
Other things you should know about SLOPE: Slope is a RATE, that means it happens again and again and again (multiple times, M). It is the ratio that explains how steep a line is. When you think of steepness think of a hill. The steeper the hill the harder it would be to walk up it. The harder to walk up the hill the greater the slope.
– Love Ya’ll!!! Mrs. Molina 🙂
Example: The yintercept (b) = 1
Unit Rate and Slope are almost the EXACT SAME THING.
The ONLY difference is that Slope is just a number and Unit Rate must have a description with it.
Example:
The Pythagorean Theorem states that, in a right triangle, the two smaller squares made from the triangles legs add up to equal the biggest square made from the hypotenuse.
The lengths of the legs are commonly labeled as a and b and the hypotenuse length is labeled as c.
REMEMBER:
HYPOTENUSE: c is the longest side of the triangle
LEGS: a and b are the other two sides
Click here to find the missing hypotenuse , here to find the missing leg, here to find the perimeter, here to do real world problems, and here to see if the triangle is a right triangle or not. You will use the Pythagorean Theorem online and get automatic feedback (it grades it)! 🙂
In short the Pythagorean Theorem can be explain with the formula below.
AGAIN, THIS IS ONLY TRUE FOR RIGHT TRIANGLES!
Here are other examples:
Click here to find the missing hypotenuse , here to find the missing leg, here to find the perimeter, here to do real world problems, and here to see if the triangle is a right triangle or not. You will use the Pythagorean Theorem online and get automatic feedback (it grades it)! 🙂
Volume is the measure of the inside of a 3D figure.
The amount of 3dimensional space an object occupies. Capacity.
The formula is V=Bh
Units of volume include:
Metric: cubic centimeters (cm^{3}), cubic meters (m^{3})
In this 3D figure:
B= bh = 10(5) =50
h= 4
So, V= (550)(4) = 200 units³
For this example the volume is 200 units^{3}
Practice Volume here and here .
The total area of the surface of a threedimensional object.
Example: the surface area of a cube is the area of all 6 faces added together.
The formula is S = Ph + 2B
Practice Surface Area here.
The Pythagorean Theorem states that, in a right triangle, the two smaller squares made from the triangles legs add up to equal the biggest square made from the hypotenuse.
The lengths of the legs are commonly labeled as a and b and the hypotenuse length is labeled as c.
REMEMBER:
HYPOTENUSE: c is the longest side of the triangle
LEGS: a and b are the other two sides
Click here to find the missing hypotenuse , here to find the missing leg, here to find the perimeter, here to do real world problems, and here to see if the triangle is a right triangle or not. You will use the Pythagorean Theorem online and get automatic feedback (it grades it)! 🙂
In short the Pythagorean Theorem can be explain with the formula below.
AGAIN, THIS IS ONLY TRUE FOR RIGHT TRIANGLES!
Here are other examples:
Click here to find the missing hypotenuse , here to find the missing leg, here to find the perimeter, here to do real world problems, and here to see if the triangle is a right triangle or not. You will use the Pythagorean Theorem online and get automatic feedback (it grades it)! 🙂
A degree is a unit of measurement used to measure angles.
There are 360 degrees in one Full Rotation (one
complete circle around
We use a little circle ° following the number to mean degrees.
For example 90° means 90 degrees
In One DiagramThis diagram might make it easier to remember: Also: Acute, Obtuse and Reflex are in alphabetical order. 
These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°.Notice that together they make astraight angle.  
But the angles don’t have to be together.These two are supplementary because 60° + 120° = 180° 
Two angles are Complementary when they
add up to 90 degrees (a Right Angle ).
These two angles (40° and 50°) are Complementary Angles, because they add up to 90°.Notice that together they make a right angle. 

But the angles don’t have to be together.These two are complementary because 27° + 63° = 90° 
Click here, here, and here to find the missing angles of triangles and parallel lines cut by a transversal online and get automatic feedback (it grades it)! 🙂
If a line is split into 2 and you know one angle you can always find the other one.
30° + 150° = 180°
The Interior Angles of a Triangle add up to 180°
90° + 60° + 30° = 180° 
80° + 70° + 30° = 180° 
It works for this triangle! 
Let’s tilt a line by 10° … It still works, because one angle went up by 10°, but the other went down by 10° 
(A Quadrilateral has 4 straight sides)
90° + 90° + 90° + 90° = 360° 
80° + 100° + 90° + 90° = 360° 
A Square adds up to 360° 
Let’s tilt a line by 10° … still adds up to 360°! 
The Interior Angles of a Quadrilateral add up to 360° 
The interior angles in this triangle add up to 180°(90°+45°+45°=180°) 
There are 4 types of TRANSFORMATIONS that we will be learning about.Click here to view information on all 4 transformations (translations, reflections, rotations, and dilations) or click here to play a video that explain each transformation.
Click here or here or here to practice identifying the Transformation that is taking place and get automatic feedback (it grades it)! 🙂
Click here or here or here to practice Translations and get automatic feedback (it grades it)! 🙂
Click here or here or here to practice Reflections and get automatic feedback (it grades it)! 🙂
Click here to make some reflection art!!!
Click here or here or here to practice Rotations and get automatic feedback (it grades it)! 🙂
If one shape can become another using only Turns, Flips and/or Slides, then the two shapes are called Congruent.
Two shapes are Similar if you need to Resize for one shape to become another (you may also Turn, Flip and/or Slide).
The other important Transformation is Dilation (also called reduction or enlargement). The new image becomes bigger or smaller than the original.
Click here or here or here or here to practice Dilations and get automatic feedback (it grades it)! 🙂