Today was an intermezzo B-day. Warm up on finding area and perimeter of triangle on coordinate plane. Went over homework, then did 3 multi-part volume and 3D related problems on cones and cylinders. Passed out practice assessments.
Notes from board
Homework
Complete the practice assessment. [blank] [SOLUTIONS]
Be sure you know these formulas: http://bit.ly/formulas17
Resources
Explaining formulas:
meaning of pi
circumference showing 2π radii
area of a circle by rearranged slices
video of area of a circle by rearranged slices
interactive area of a circle applet
circle area unraveled into triangle
circle intro triangle video
cone cylinder word problems: link link2 link3
area of triangle on coordinate plane: link
perimeter on coordinate plane: link
Went over practice assessment and then took the actual assessment on explaining volume formulas and using volume as well as some coordinate area review. Learned about the cardioid for Valentine's Day [for more information on this shape, check out this amazing video!] Then examined the volume formula for a sphere and worked two basic examples, finding volume given diameter (or radius) and finding radius given volume.
Notes from board
Homework
p. 531 #11,15,16,18
Resources
sphere volume example, given diameter: link
Warm up on how to find a sphere's diameter so that it has the same volume as a given cylinder. Went over spheres homework, passed back assessments and debriefed them with partners, then did a 3-act math task involving meatballs and sphere/cylinder volume. Then introduced topic of density and worked through some examples and also examined population density.
Notes from board
Homework
p. 522: #9,11,14
Resources
pyramid volume: link
density of an object using displaced volume: link
composite volume and density to find mass (made by me!!): link