Do now: lines and angles The letter Z illustrates alternate interior
angles. Find at least 1 other letter that illustrates pairs of angles (corresponding, alternate exterior, vertical, supplementary)
Draw the letter Then mark and describe the angles
What weighs more, a bag of paper or a paper clip?
Does mass have anything to do with it?
What objects have certain constraints? How is density related to mass and volume? Discuss ideas for story problems?
◦ You will not solve, but need to show what solving for
Area◦ 2 D geometric
shapes◦ Can you name
shapes with area?
Volume◦ 3 D geometric
shapes◦ Can you name
shapes that are similar to area shapes but have volume?
A machinist creates a spacer by drilling a 3 cm diameter hole through the middle of a cylinder, that has a diameter of 5 cm and a height of 0.5 cm. What is the approximate volume of the finished spacer?
Consider a life saver candy Find volume whole thing Then find volume what you cut out
Given 2, 3-D objects, compute effect on volume, if a dimension (height) changes,
Create a visual demonstrating the relationship between circumference, area, height, and volume of a circle and its relationship to a cylinder
Create 2 problems for your classmates to solve in which they must use at least three volume formulas
How do artists consider geometric shapes when creating masterpieces?
DIRECTIONS: Find a picture/character/place that interests you. Draw, sketch, or use computer in room to create the picture using only geometric shapes. Vocabulary is below of some geometric shapes that should be involved in your picture:
-Geometric shapes -Cylinder -Sphere -Rectangular prism -Parabola
What are the parts to a circle? What do these parts form?
Why are volume formulas used for 3D objects?
This is a new rule that all high school teachers are implementing. If I see out, then I will ask you to put away once and
if still see I take, and return at end of class, if problem then admin can get
Do now: Transformation Your friend and her parents are visiting
colleges. They leave their home in Enid, Oklahoma and drive to Tulsa, which is 107 miles east and 18 miles south of Enid. From Tulsa, they go to Norman 83 miles west and 63 miles south of Tulsa.
Where is Norman in relation to Enid?
Potato chips Pringles
Conic section is intersection of plane and cone
Circles have circumference, radius, arcs, use pi
How are circles related with volume? Arc measure Arc length
Video – you tube – arc measure vs. arc length
Activity pg 770 Arc measure and length problems Clock problem task Book work pg. 777
How can you prove relationships between angles and arcs in a circle?
Do now Pg. 777 #14
• create a vocabulary sheet that includes definitions and diagrams of each type of segment.
• Perhaps making a connection that a central angle has its vertex in the center of the circle
•Have students to organize all the theorems taught in sections 12.1 to 12.4 in an effort to increase learning.
Do now: quiz today
Do now: An ice cream vendor presses a sphere of
frozen yogurt into a cone. If the yogurt melts into the cone, will the cone overflow? Explain
See picture and measurements on pg 739 #46
Activity pg. 770 (#2) Why did you refresh the distance formula?
Pg. 799, There is a connection with equation of a
circle
Partners individual
Pg. 762 (12-1) pages, definitions, questions
Pg. 771 (12-2) definition, theorems, problems
Pg. 780 (12-3) definitions, theorems, problems
Retake a test/quiz or complete a test/quiz from yesterday or a previous day
Re-create a picture using only geometric shapes
If finish with all, then work or sit quietly until time is up or all students complete
How do you find the equation of a circle within a coordinate plane?
Homework: have a quarter on Monday!