Latest posts tagged with #ANNMath on Bluesky
We had our first Adult Numeracy Network Instructional Routine Club today! Teachers from AZ, FL, GA, MA, MN, and PA came together to do explore fraction talks.
For more information, check out adultnumeracynetwork.org
#ANNMath #AdultEd #MTBoS #ITeachMath
At the top is a pictorial equation: a pink triangle and small green triangle on the left side of the equals sign and a red trapezoid on the right side. Below are five steps, linked by arrows. Step one has all three shapes from the equation. Step two has the green triangle placed over the red trapezoid, covering a portion of it. Step three has the pink triangle place over the red trapezoid as well. A triangular piece of the pink triangle is sticking out above the area of the red trapezoid. The only part of the red trapezoid still visible is a red triangle. Step four has the pink triangular piece slide over to be above the visible triangular piece of the red trapezoid. Step five shows that the access pink triangle exactly covers the remaining red triangle. This shows that the areas of the pink triangle and the small green triangle together are equal to the area of the red trapezoid.
At Instructional Routines Club, someone commented that one of the benefits of virtual manipulatives is that you can cut/decompose them. I used that idea to represent my reasoning behind one of my equations.
#ANNMath #Iteachmath #MTBoS
1. One pink triangle equals 2 small green triangles 2. One red trapezoid equals 3 small green triangles 3. One red trapezoid and one small green triangle equals one large green triangle equals to pink triangles equals four small green triangles 4. One pink triangle and one small green triangle equals one red trapezoid
I started making equations using only the shapes to show different relationships between the pieces.
#ANNMath #Iteachmath #MTBoS
A trapezoid divided up into 12 congruent triangles. 3 of the triangles are red, together forming a smaller trapezoid within the larger trapezoid. The remaining 9 triangles are green. 3/12 of the triangles in the larger trapezoid are red.
An equation. On the left side of the equal sign, a larger trapezoid is composed of three smaller orange trapezoids and 3 small triangles. On the right side are four trapezoids. Three are the same as the smaller orange ones on the left side of the equation. One of them is composed of the three small yellow triangles, arranged to show they have the same area as each orange trapezoid. My colleague created this representation for showing that the red trapezoid 1/4 the area of the original shape. Her goal was to get there without finding the 3/12 and then reducing. I had a similar approach, but loved how clearly her model conveyed our thinking without words.
The original trapezoid rearranged as three large triangles. The triangle on the left is pink. The middle triangle is green. The triangle on the right is broken up into 4 smaller, congruent triangles. Three of those are red and one is green. The goal was to show that the red trapezoid can be seen as 3/4 of 1/3.
It was a virtual meeting, and some of us used Polypad to noodle with the shapes. Inspired by a colleague, I started making wordless visual representations of my reasoning.
#ANNMath #Iteachmath #MTBoS
Text: What fraction of this shape is red? How do you know? How else do you know? Image: a trapezoid composed of 5 different pattern blocks. Two pink right triangles are arranged to create an equilateral triangle that can be seen as one-third of the area of the trapezoid. A large green triangle in the middle of the trapezoid has the same area as the pink. A third triangle is composed of a red trapezoid and a smaller green triangle. The red trapezoid and small green triangle together have the same area as the pink triangles and as the large green triangle.
We did a fraction talk at @adultnumeracy.bsky.social Instructional Routine Club today.
#ANNMath #Iteachmath #MTBoS
ANN is offering members a series of hour-long introductions to the instructional routines in our collection (adultnumeracynetwork.org/Instructiona...)
Our first session will be Feb. 18th
3-4 EST / 2-3 Central / 1-2 MT / 12-1 PT
Register here:
adultnumeracynetwork.org/event-6546249
#ANNMath
Numberless area graph. First image in a slow reveal graph sequence.
Area graph titled: Share of Arrests Each Week By Criminality Final image from a slow reveal graph sequence
Numberless stacked bar graph. First image in a slow reveal graph sequence.
Stacked bar graph titled: Immigration Arrests in NYC Focus Far More on People Without Criminal Convictions or Charges Compared to U.S. Overall. Final image from a slow reveal graph sequence
7/7
This one looks at % of ICE arrests in NYC, Jan-Oct 2025, comparing targets who had criminal convictions versus those with pending criminal charges, and those with only civil immigration violations (no criminal charges).
bit.ly/icearrestsin...
#slowrevealgraph #ANNMath #ITeachMath #MTBoS
Numberless circle graph/pictograph. First image in a slow reveal graph sequence.
Circle Graph/Pictograph comparing Department of Homeland Security Forces in Minnesota to the Ten Largest Twin Cities Metro Police Forces. Final image from a slow reveal graph sequence
6/7
This one compares the number of DHS officers in the state of Minnesota to the number of police officers in the largest Minneapolis/St. Paul metro area police forces.
bit.ly/DHSinMNvsTCM...
#slowrevealgraph #ANNMath #ITeachMath #MTBoS
Numberless map graph. First image in a slow reveal graph sequence.
Graph titled: Estimated US undocumented population by state (2022) Final image from a slow reveal graph sequence
5/7
This one looks at the estimated population of undocumented immigrants by state.
bit.ly/undocumented...
#slowrevealgraph #ANNMath #ITeachMath #MTBoS
Numberless map graph. First image in a slow reveal graph sequence.
Map graph titled: Share of people arrested by ICE with no criminal record. Final image from a slow reveal graph sequence
4/7
This one is a map graph that looks at what percentage of people arrested by ICE in each state had no criminal record.
bit.ly/arrestedwith...
#slowrevealgraph #ANNMath #ITeachMath #MTBoS
Numberless area graph. First image in a slow reveal graph sequence.
Area Graph titled: Daily ICE arrests nationwide. Final image from a slow reveal graph sequence
3/7
This one looks at the number of ICE arrests that have been people with violent convictions, people with other past convictions, people with pending criminal charges, and people with no criminal charges.
bit.ly/ICEarrestsby...
#slowrevealgraph #ANNMath #ITeachMath #MTBoS
Numberless line graph. First image in a slow reveal graph sequence.
Graph titled: Daily ICE arrests nationwide. Final image from a slow reveal graph sequence
2/7
This one looks at the the number of Immigration and Customs Enforcement (ICE) arrests that happened at prisons/jails and the number that have happened in communities, between 2024 and 2025.
bit.ly/icearrestsby...
#slowrevealgraph #ANNMath #ITeachMath #MTBoS
Numberless bar graph - first image from a slow reveal graph sequence
Graph titled: Deportations of People Arrested Within the United States. Final image from a slow reveal graph sequence
1/7
I've been making #slowrevealgraph sequences to help make sense of what is going on.
Here's one that looks at the number of deportations each year within the past four presidential administrations.
bit.ly/icedeportati...
#ANNMath #ITeachMath #MTBoS
His words also make a compelling argument for what math and math teaching & learning should be like.
#ANNMath #MTBoS #ITeachMath
Writing the alt text for the table made me think more about how it works as a multiplication table!
If 1000 is in the 8 row, than I know I need 125 at the top of that column. Sequence of odds is 2x+1, so when y is 125, x is 62. So I think 1000 is in the 8 row (4th row) and 62nd column!
#ANNMath
A messy ZOOM whiteboard of thinking visualized, exploring the patterns in the table, making and testing conjectures and partially answering the question. The work generally moves from top to bottom. The culmination thus far is the 1000 does appear in the 8 row (not 8th row). The final sentence is "Upwards and onwards to a generalization to figure out the column!"
Like I said, I'm not quite there yet, but I wanted to share my work so far because I feel like there must be so many different ways to approach this, and I'm curious what others do. #ANNMath
A table of numbers. Consecutive odd numbers across the top. Reading left to right: 1, 3, 5, 7... The left column is made up of powers of 2 going down. Reading: 1, 2, 4, 8,... The table can be completed by multiplying the odd numbers across the top by the powers of 2.
Thank you, @triangleyou.bsky.social for sharing this task they got from @howiehua.bsky.social!
What patterns do you notice in the table?
Will 1000 appear? If so, where?
I'm not quite there yet, but I'm having such fun, in the spirit in which I received it, I invite others to play!
#ANNMath
Barcelona is Made of Math.
This article is a virtual tour of the Spanish city where mathematics, art, and exploration meet. #ANNMath #rehumanizingmath #AdultEdu
The area of the blue is 11 + 9 + 9 + 7 + 7 + 5 + 5 + 3 + 3 + 1 + 1 = 61 squares The area of the corners (orange) is 10 + 10 + 8 + 8 + 6 + 6 + 4 + 4 + 2 + 2 = 60 squares Again, the area of the blue is a little more than half the area of the entire square, and the area of the orange is a little less.
I decided to create similar figures to have more to explore to look for patterns.
I used the second figure from the launch (11 squares high and 11 squares wide as opposed to 9) and “filled in the corners.”
#ANNMath #MTBoS
On the left, a blue figure with an area of 41 square units, arranged in centered columns 1, 3, 5, 7, 9, 7, 5, 3, 1. On the right, the same figure, imbedded in a 9x9 square, with the same 41 squares in blue, plus 40 green squares (10 in each corner, arranged as stairs 4, 3, 2, 1)
The blue figure removed and the green squares rearranged into columns with heights of 2, 4, 6, 8, 8, 6, 4, 2
I wondered what would happen if we “finished” the square by filling in the corners.
Looking at just the green area, I rearranged the pieces to look similar to the original figure. The figure felt similar, but like an “even” version.
#ANNMath #CAMImath
#MTBoS
Two shapes. On the left, an area of 41 squares. One way to describe them is in 9 vertical columns, with 1 square, 3 squares, 5 squares, 7 squares, 9 squares, then 7, 5, 3, and 1. The figure on the right can be described as a similar figure, rotated 45 degrees, except the columns would be arranged 1, 3, 5, 7, 9, 11, 9, 7, 5, 3, 1.
Last May’s Community of Math Instructors (CAMI) monthly teachers’ circle meeting started with some attention for some fairly simply-structured figures.
#ANNMath #CAMImath
#MTBoS #ITeachMath
nyccami.org/attention-an...
A plate of at least 8, square cookies, each divided into 4 colors (yellow, red, green, and blue). The center is a small yellow square, standing on its corner. Each side of that square is bordered by the hypotenuse of 4 blue right triangles. Each blue triangle is reflected across one of its legs with an identical red triangles. The space between the hypotenuses of the red triangles is filled with a green isosceles triangle. The remaining corners of the square are completed with 4 squares of the same color, either yellow or blue.
Have any baked good shouted "Fraction Talk about me!" louder than these gorgeous cookies from Brooklyn baker Lauren Dozier (instagram.com/lauren_dozier)? What fractions do you see? #ITeachMath #ANNMath
A Desmos doodle inspired by the question: How many triangles are in a triangle made of triangles? (Visit the graph to see it do its thing.)
www.desmos.com/calculator/o...
#ANNMath #MTBoS #ITeachMath
Brava to Sarah Lonberg-Lew for creating this tool for investigating happy numbers & the melancoil! (If you know, you know & if you don't... join the party!
www.adultnumeracynetwork.org/resources/Ha...
Inspired by the March CAMI meeting
(nyccami.org/happy-numbers/)
#ANNMath #MTBoS #ITeachMath
Three fractions with single-digit numerators and denominators, being added, resulting in a single-digit sum. Each digit is represented in the picture by an empty box.
I am enjoying this #OpenMiddle problem, created by
Sarah Lonberg-Lew (We think - Is this one out there already?).
So far I've got 15 solutions & have 5 different digits for the sum.
Standard rules: use the numbers 1-9, no more than once each. One number per box. #ANNMath #MTBos #ITeachMath
