A different bar model approach. Since the number of bananas didn’t change, 3 parts had to become 2 parts without changing the boxes - so each part is now 1.5 boxes. Making the kiwis into 3 parts of the same size showed the fraction made up by the 3 eaten kiwis.
C, but I think of it less formally. I recognize 144 as twelve 12s. Half of that is six 12s. Six 12s are 72. (If I don’t remember that six 12s are 72, I add a 12 to 60. I know that five 12s are 60 because twelve 5s are 60 - I see them in the 12 numbers on a clock.)
I don't think there should be symmetry. The circles along the top determine the x's and the circles down the side determine the y's. Since the graphs of cos and sin are different, we get different graphs when we double the argument of one vs the other.
Rearranging the groups can help you see why the total stays the same. Make each new group by taking one from each of the original groups. If we get used to visualizing and playing with numbers, these ideas make sense. They may not be immediately obvious, but they become clear.
The standard algorithm hides the sense of what is going on. With partial products (especially if developed from area models), you can see why the product comes out the same regardless of the order of the factors.
Sarah retweeted
Can't wait to lead Using Math to Identify & Impact Social Justice Issues in Our Lives w/@MathSarahLL next Thursday 9/15. Teaching proportional reasoning & statistical literacy using materials from The Change Agent for #AdultEdu.
Register: sabes.org/event/38466
@TERCAdultNumrcy
ALT Circle graphs from an article in The Change Agent looking at the the racial demographics of NYC and with various industries of essential work.
ALT Copies of 2 books in the EMPower Math series for adult education students, Keeping Things in Proportion and Many Points Make A Point
Sarah retweeted
ANN is creating a new board position of Equity Officer and looking to provide a platform for emerging leaders. adultnumeracynetwork.org/Ope…
@todosmath @NCTM
#AdultEdu #MTBoS
(Candidates should fill out the brief interest form by 9/17.)
Sarah retweeted
I loved (& learned from) every minute of planning the #MathArt section of #ANNMath Institute w/ @MathSarahLL & @dcrescitelli.
I'm proud of our @Desmos activity for #AdultEdu (bit.ly/ANNInterlockingCircle…) & exploration of symmetry in design through coloring (bit.ly/ANNSymmetryDesign).
It's a two-day event! Come join us today!
community.lincs.ed.gov/group…
Sarah retweeted
.@MathSarahLL's #nyccami math teachers' circle meeting on Voronoi Patterns was so good. It had me at hello, looking at images of a giraffe, a sea turtle, a beehive, and a leaf.
nyccami.org/voronoi-patterns…
#ANNMath
Join me in supporting $107 in memory of RBG via @actblue secure.actblue.com/donate/10… (Your donation is split between the Biden/Harris campaign and 7 flippable senate races. Also, $107 is only the suggested donation. You can give other amounts.)
