Assignment for Tuesday:8.4 on p. 455: 15, 79
Month: April 2017
Friday, 14 April 2017
Friday, April 14
 Cavalieri's principle: If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal
In order to be proficient, students should be able to solve volume problems involving spheres and other shapes we have studied. Today's worksheet and the ability to prove the volume of a circle is are both areas in which students can reach the highly proficient level.
Assignment: Complete 10.6: 116 and the 10.5/10.6 worksheet handed out today.
Friday, April 14
Assignment: Complete "Construction Problems 7.11" handout
Thursday, April 13
Today's Assignment: 10.6 on p. 543: 116. Topics: Deriving the formula for the volume of a sphere using Cavalieri's principle and then applying the formula for the volume of a sphere to solve volume problems.
Wednesday, April 12
Thursday, April 13
Thursday's Assignment: Angles worksheets 2.5/2.6. Topic: angle names and relationships.
Extra help? As we study constructions, students will need to be able to complete a variety of constructions cleanly with compass and straight edge. If your student needs some extra help practicing constructions one nice resource is at math open ref. They have nice short animations of how to perform each construction and make it easier to practice.
Constructions game. Euclid the Game is another great way for students to practice/learn constructions.
Tuesday, 11 April 2017
Compasses in Student Store, $5

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Tuesday, April 11
Topic: Density and problem solving with volume. Students should be able to use equations to find the missing lengths using the volume. For example in a triangular pyramid with volume 180, height of the base triangle = 12, and altitude of the pyramid = 6, we could first notice that the volume of a pyramid is
And then that is the area of the triangular base, so . So we are essentially solving
And we know all the values of variables except for so we can rearrange by the commutative property of multiplication
With the known information we have
So
Then
And finally
Tuesday, April 11
Materials. All students will need their own compass. They will need these everyday for the remainder of the unit. Not having a compass will make them unable to participate or complete assignments.
If your student needs a compass, as of 2:29pm today, Office Depot on Cedar Hills Blvd has 22 in stock. This is the model I recommend.
Students need to take care to not break the metal tip off and not lose the plastic screw. If a metal tip breaks I can glue it back in fairly successfully. If they lose it, it can be replaced with the head of a nail.