Tips From The Pros!

 

Tips from the Pros..#2

 

Enjoy ;)

 

https://www.youtube.com/watch?v=YeP2mrt9gjg&feature=youtube_gdata_player

Unit 1:Day 8

 

 

Unit 1: Day 8

 

Daily Objective: Scale factor of sides and scale factor of area

Definition: The ratio of any two corresponding lengths in two similar geometric figures is called as Scale Factor. This is the factor by which all the components of an object are multiplied in order to create a proportional enlargement or reduction.

Pictures: This image below shows how the scale factor of area is shown. Since you have your numbers, now you can make ratios and then cross multiply and divide to find the missing area (?).

 

 

3 question quiz:

 

#1. What is the missing area in this image?

 

 

 

#2. What is the missing length this image below?

 

 

 

#3. What is the missing area in the photo below?

 

 

 

Answer key:

 

#1. After making the ratios from the two figure and cross multiplying and dividing, your answer is 8 inches squared.

 

#2. After making the ratios from the two figure and cross multiplying and dividing, your answer is X = 12.

 

#3. After making the ratios from the two figure and cross multiplying and dividing, your answer is 12 inches squared. 

 

 

 

 

 

 

 



Unit 1: Day 7

 

Unit 1: Day 7

 

Daily Objective: Similar Triangles

Definition: Triangles that are similar if they have the same shape, but can be different sizes.

Pictures: This picture is an excellent example of how similar triangles correspond. It shows how each side of these triangles are similar even though they have different sizes.

 

 

 3 question quiz:

#1. Is side A in triangle 1 correspond with side D triangle 2?

#2. Does side F in triangle 1 similar to side I in triangle 2?

#3. Are the triangles in this photo similar?

 

 

Answer key:

 

#1. Yes

 

#2. Yes

 

#3. Nada

 

Unit 1: Day 6

 

Unit 1: Day 6

Daily Objective: Similar Triangles; Angle-Angle

 

Definition: Triangles that are similar if they have the same shape, but can be different sizes. The definition of an angle is a shape that is formed by two lines or rays diverging from a common point.

 

 Pictures: This pictures shows a good example of how similar triangles could be seen in a real life scenario. Even though the tree is a bigger object than the person, the shape that the two make are similar. 

 

 

3 question quiz:

 

#1. Are these triangles similar? 

 

#2.  Are these figures similar?

 



 

#3. Are these triangles similar?

 

 

Answer key:

 

#1. Yes

 

#2. Yes

 

#3. Yes

Unit 1: Day 5

Unit 1: Day 5

Daily Objective: Similar Figure: What are they and finding missing length.

Definition: Similar figures are figures that have the same shape but not necessarily the same size. To find the missing lengths you have to make ratios with the corresponding lengths of the two figures. Once you have the ratios, you have to then cross multiply and then divide. 

Pictures: This shows a good example of how you need to make ratios with the corresponding lengths and then multiply and divide.

3 question quiz:

#1. What would be the missing length of a figure that has a width of 4 and a missing length, (x), and another similar figure that has a length of 6 and a width of 9?

#2. What would be the missing length of a figure that has a length of 8 and a missing width, (x), and another similar figure that has a length of 2 and a width of 4?

#3.  What would be the missing width of a figure that has a length of 5 and a missing width, (x), and another similar figure that has a length of 10 and a width of 5?

Answer key: 

#1. 

#2.

#3. 

Unit 1: Day 4

Unit 1: Day 4

Daily Objective: Surface area of a prism, pyramid, cylinder, cone, sphere.

Definition: 

1. Area of a prism: Area of 2 bases + area of sides

2. Area of a pyramid: Area of base + area of the triangular sides

3. Area of cylinder: Area of 2 circular bases + 3.14 x D x H

4. Area of a cone: Area of circular base + 3.14 x R x slant height 

5. Area of a sphere: 4 x 3.14 x R squared

Pictures/Examples: 

For a Pyramid: 

For a Prism: 

For a Cone: 

For a Cylinder: 

And for a sphere: 

3 question quiz:

#1. What's the area of a cone with a diameter of 5 and the slanted height is 10?

#2. What's the area of a prism with a base length of 10 and a height of 4?

#3. What's the are of a cylinder with a diameter of 6 and a height of 12?

Answer Key:

#1.

#2.

#3.

Unit 1: Day 3

Unit 1: Day 3

Daily Objective: Surface area of prism, pyramid, cylinder, cone, and a sphere.

Definition: 

1. Area of a prism: Area of 2 bases + area of sides

2. Area of a pyramid: Area of base + area of the triangular sides

3. Area of cylinder: Area of 2 circular bases + 3.14 x D x H

4. Area of a cone: Area of circular base + 3.14 x R x slant height 

5. Area of a sphere: 4 x 3.14 x R squared

Pictures: This picture shows a good example of what it would look like for the formula of finding the area of a sphere and also what it would look like.

3 question quiz:

#1. What's the area of a cone with a diameter of 5 and the slanted height is 10?

#2. What's the area of a prism with a base length of 10 and a height of 4?

 

#3. What's the are of a cylinder with a diameter of 6 and a height of 12?

 

Answer Key:

 

#1.

#2.

 

#3.