slide1
Download
Skip this Video
Download Presentation
Circles (Unit 8)

Loading in 2 Seconds...

play fullscreen
1 / 50

Circles (Unit 8) - PowerPoint PPT Presentation


  • 91 Views
  • Uploaded on

Circles (Unit 8). AC DR Area Circumference Diameter Radius. Circles (Unit 8). Video – Learn Alberta. http://www.learnalberta.ca/content/mejhm/index.html ?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.CIRC&lesson=html/ video_interactives/circles/circlesSmall.html.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Circles (Unit 8)' - cianna


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide2

AC DR

Area Circumference Diameter Radius

slide3

Circles(Unit 8)

  • Video – Learn Alberta
  • http://www.learnalberta.ca/content/mejhm/index.html
  • ?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.CIRC&lesson=html/
  • video_interactives/circles/circlesSmall.html
slide4

Construct Circles(Unit 8)

Student outcome: I will be able to describe the relationship of radius, diameter and circumference

  • Use your compass to draw a circle…Use a ruler to find your radius first!

Radius

Distance from the centre of the circle to the outside edge…represented by “r”

Diameter

Distance across a circle through its centre…represented by “d”

slide5

Construct Circles(Unit 8)

Student Outcome: I will be able to describe the relationship between radius, diameter and circumference

  • Question…
  • How can you find the diameter if you are given the radius?

d = r x 2

slide6

Construct Circles(Unit 8)

Student Outcome: I will be able to describe the relationship between radius, diameter

  • Question…
  • How can you find the radius if you are given the diameter?

r = d ÷ 2

slide7

Let’s Construct Circles

  • Can you design the Olympic rings using a compass??
slide8

Let’s Construct Circles

  • Can you design the Olympic rings using a compass??

Rubric – Olympic Rings Rubric – Olympic rings

5 exact rings /5 5 exact rings /5

Parallel /2 Parallel /2

Straight Lines /3 Straight Lines /3

Spacing /Overlap /3 Spacing/Overlap /3

Neatness /2 Neatness /2

Total /15 Total /15

slide9

Practice (Homework)

  • Complete questions on pages…
  • Page 271:
  • # 5ab, 6ab, 7ac, 8c, 10,
  • Extend #14, 15
slide11

Circumference of a Circle

Student outcome: I will be able to describe the relationship of radius, diameter and circumference

  • Circumference: is the distance (perimeter) around a circle.
  • Steps:
  • Wrap a piece of string around the objects circumference
  • Then measure the string along the side of a metre stick.
  • Then measure the diameter of your object and relate it to the circumference.

Find The Circumference of Objects!

slide12

Circumference of a Circle

Student outcome: I will understand radius, diameter, circumference relationships.

  • Circumference: is the distance (perimeter) around a circle.

Find The Circumference of Objects!

  • What is the relationship between the diameter and circumference of a circle?
slide13

Circumference of a Circle

Student outcome: I will understand radius, diameter, circumference relationships.

  • Circumference: is the distance (perimeter) around a circle.
  • What is the relationship between the diameter and circumference of a circle?
  • ∏ is very close to 3 (friendly number)

C = 3 x d (estimated)

C = ∏ x d (actual)

  • The “∏” is known as pi and is known as 3.14

http://www.learnalberta.ca/content/memg/index.html?term=Division03/Circumference/index.html

slide14

Circumference of a Circle

Student outcome: I will understand radius, diameter, circumference relationships

  • Circumference: is the distance (perimeter) around a circle.
  • The “∏” is known as pi and is known as 3.14
slide15

Circumference of a Circle

Student outcome: I will understand radius, diameter, circumference relationships

  • Circumference: is the distance (perimeter) around a circle.
slide16

Circumference of a Circle

Student outcome: I will understand radius, diameter, circumference relationships

  • Circumference: is the distance (perimeter) around a circle.
  • The “∏” is known as pi and is known as 3.14
slide17

Practical Quiz # 1

  • The “∏” is known as pi and is known as 3.14
slide18

Circumference of a Circle

  • Did you KNOW?
  • The traditional Plains Indian powwow is an annual
  • celebration. People gather together for storytelling, singing,
  • dancing and feasting. The powwow grounds are circles and
  • the performers dance around the circle in a clockwise
  • direction. How would you determine the distance a dancer
  • travels in one complete trip around the circle?
slide19

Circumference of a Circle

Student outcome: I will understand radius, diameter, circumference relationships

  • PROBLEM:
  • What if you were given the “radius.” Then how would you find
  • the circumference? (Remember...before we multiplied the diameter by 3)
  • The “∏” is known as pi and is known as 3.14
slide20

Practice (Homework)

  • Complete questions on pages…
  • Page 278-279:
  • # 3ab, 6, 7ab, 10, 11, 17 (Good Luck)
  • Extend #16, 18, 19
slide23

Practical Quiz #2

  • Using a compass, design a 3 level (snowball) snowman.
  • One snowball has a radius of 2 cm
  • One snowball has a radius of 3 cm
  • One snowball has a diameter of 3 cm
slide24

Areaof a Circle

Area means the total amount of space inside of a circle (or any shape).

  • Try to come up with an equation for a circle using the hints given...
  • What are the hints?

5 m

slide25

Areaof a Circle

Area Equation is…

Answer is…there are roughly 3 squares (l x w) that fit into a circles. The remaining area outside of the circles roughly make up the area in the 4th part of the circle.

Actual Area Equation:

Area = ∏r ²

5 m

slide26

Areaof a Circle

Student outcome: I will be able to solve the area of a circle.

slide28

Practice (Homework)

  • Complete questions on pages…
  • Page 285-286:
  • # 4ab, 6, 9ab, 11, 15, 19 (Good Luck!)
  • Extend # 18, 20
slide31

Practical Quiz # 3

  • The “∏” is known as pi and is known as 3.14
slide32

Tattoo Me

  • Create a tattoo based on a circle(s)

http://www.arcvillage.org/KIDSTUFF/crop%20circle%20designs.htm

slide33

Tattoo Me

  • Create a tattoo based on a circle(s)

RUBRIC

Circumference /1

Diameter /1

Radius /1

Area /1

Colored /3

Neatness /3

Originality /3

TOTAL /13

slide34

Tattoo Me

  • Create a tattoo based on a circle(s)
slide35

Tatoo Me

  • Create art work based on a circle(s)
slide36

What is a “Circle Graph”

Student outcome: I will be able to read a circle graph.

  • Circle Graph:
  • a graph that
  • represents data using
  • sections of a circle
  • Sector:
  • a section of a circle
  • formed by two radii
  • and the arc of the
  • edge of a circle, which
  • connect the radii

http://www.learnalberta.ca/content/memg/index.html?term=Division03/Circle_Graph/index.html

slide37

Interpret Circle Graphs

Student outcome: I will be able to read a circle graph.

  • What is the graph about?
  • What do the different sectors represent?
  • What percent does Mrs. Bosch run?
  • What percent do the kids and Mr. Bosch represent?
  • What do all the sectors add up to be (percent wise)?
slide38

Interpret Circle Graphs

Student outcome: I will be able to read a circle graph.

  • What is the graph about?
  • What do the different sectors represent?
  • If you have a cat?
  • What are your chances of being a smart kid?
  • What are Mr. Bosch’s chances of being a smart kid?
slide39

Practice (Homework)

  • Complete questions on pages…
  • Page 290-291:
  • # 3, 5, 7, and 8
slide43

Create Circle Graphs

Student outcome: I will be able to build a circle graph.

  • You will need…
  • Ruler Protractor Compass Pencil Crayons
  • Construct a circle graph with a radius of 8 cm.
  • Create the circle
  • Questions:
  • a) What is the diameter?
  • b) How many degrees are in the top ½ of the circle?
  • c) How many degrees are in the bottom ½ of the circle?
  • d) What is the sum of the central angles of a circle?

8 cm

slide44

Create Circle Graphs

Student outcome: I will be able to build a circle graph.

  • Complete a Class Survey on Types of Pets!
  • You can only select ONE of the animals mentioned above.
  • Then complete the chart above as a class and work
  • with a partner to create your “Circle Graph.”
slide45

Create Circle Graphs

Student outcome: I will be able to build a circle graph.

  • How do we find the “degrees” of something?
  • % of 360° decimal x 360°
  • Example: 45% x 360°
  • 0.45 x 360° = 162°
slide46

Create Circle Graphs

Student outcome: I will be able to build a circle graph.

  • Results of Class Survey on Types of Pets!

Cat ( %)

Dog ( %)

Bird ( %)

Fish ( %)

Other ( %)

slide47

Create Circle Graphs

Student outcome: I will be able to build a circle graph.

  • Create your OWN survey! (must have 5 choices)
  • Once you’ve completed your data then complete circle
  • graph…make sure to have a LEGEND! Make sure the people
  • you survey only select ONE of the choices!
slide48

Unit Review

  • See the “JEOPARDY” game in the Math 7 File…
  • Unit Review Questions:
  • Page 298-299:
  • All questions except #10, 22
ad