Unit 2, Day 8

Unit 2, Day 8: Objective: Volume of prism, pyramid, cylinder, cone, sphere

Define: Prism: area of base x 3D height
            Pyramid: 1/3 x area of the base x 3D height
            Cylinder: area of the base x 3D height
            Cone: 1/3 x area of base x 3D height
            Sphere: 4/3 x pie x r^3

                      


Quiz:

1. Find the volume 

2. Find the volume 

3. Find the volume

Answer Key:

1.

2.

3.

Video: http://www.youtube.com/watch?v=WO_8X1cO5Lk

Unit 2, Day 7

Unit 2, Day 7: Objective: Volume of prism, pyramid, cylinder, cone, sphere

Define: Prism: area of base x 3D height
            Pyramid: 1/3 x area of the base x 3D height
            Cylinder: area of the base x 3D height
            Cone: 1/3 x area of base x 3D height
            Sphere: 4/3 x pie x r^3

 

Quiz:

1. What is the formula of a cone?
2. How do you find the volume of a sphere?
3. If you have half of a sphere how would you get your answer?

Answer Key:

1. 1/3 x area of base x 3D height
2. You do 1.3 x pie x radius cubed
3. Do the formula for a square then divide the answer in half

Video: http://www.youtube.com/watch?v=qnH_Zn_tM64

Unit 2, Day 6

Unit 2, Day 6: Objective: Special right traingles

Define: A special triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.



Quiz:

1. Find the exact value of

           sin 45º + cot 45º.  

2. Find the exact value of
           (cos 45º)(cos 45º).
 
3. What three mathematic strategies do you use in solving triangles?

Answer Key:

1.  

2.
 
3. Sin, Cos, Tan

Video: http://www.youtube.com/watch?v=nVTtSE5nv7c

Unit 2, Day 5

Unit 2, Day 5: Objective: Addition and subtraction of radicals

Define: When adding or subtracting radicals, you must use the same concept as that of adding or subtracting "like" variables.


 

Quiz:

1. 

  
2.
 
3. Solve:

Answer Key:

1.     

2.     
   

3. 

  

 

Video: http://www.youtube.com/watch?v=MKwxPbITcXQ 

Unit 2, Day 4

Unit 2, Day 4: Objective: Verticle angles: multiplication of radicals

Define: We multiply binomial expressions involving radicals by using the FOIL (First, Outer, Inner, Last) method.


 Quiz:

1.Solve

2.Solve

3.Solve

Answer Key:

1.

2.

3.

Video: http://m.youtube.com/index?&desktop_uri=%2F

Unit 2, Day 3

Unit 2, Day 3: Objective: Simplify radicals; distance formula can be introduced

Define: The formula, which is used to find the distance between two points (X1,Y1) and (X2,Y2) is called the distance formula.

1. Find the distance between the points. (1, 3) (2, 5)
2. What is the distance between the points A (4, 6) B (-2, -2)?
3. Define Distance formula

Answer Key:

1. Square root of (2 - 1)^2 + (5 - 3)62 = square root of 1^2 + 2^2 = square root of 1 + 4 equals square root of 5
2. use the distance formula so, AB = square root of (-2, -4)^2 + (-2, -6)^2 = 10 units
3. The formula, which is used to find the distance between two points (X1,Y1) and (X2,Y2) is called the distance formula.

Video: http://www.youtube.com/watch?v=nyZuite17Pc

Unit 2, Day 2

Unit 2, Day 2: Objective: review Pythagorean theorem. Definitions of angles. triangle angle sum; triangle classifications, distance formula.

Define: Pythagorean theorem: A theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum f the squares of the other.
            Triangle angle sum: The sum of the interior angles of any triangle is equal to 180 degrees.
            Triangle classifications: The basic elements of any triangle are its sides and angles. triangles are classified depending on relative sizes of their elements.



 

Tips from the pros video: http://www.youtube.com/watch?v=w-r_B11AxTk

Quiz:

1. For the triangle, measure in centimeters and calculate the areas of the squares on each side of the triangle.



 
2. Find angle M
3. Find angle P

Answer Key:

1.  
2. M = 31 degrees
3. P = 34 degrees

Video: http://www.youtube.com/watch?v=AA6RfgP-AHU