Category Archives: Math 8

Changing Up Popular Warm-Up Routines

As with any task, whether it’s a warm-up or a curricular task, I try to think of ways to get more student engagement, tap a different thinking modality, and just to change things up. WODB has become a common acronym in classrooms for good reasons. (Actually, does it qualify as an acronym like NATO since […]

Also posted in Course 1 (6th Grade Math), Course 2 (7th Grade Math), General, Problem Solving, Teaching | Tagged , | 1 Response

Math Worksheets

I often create worksheets for my students, even though every district-adopted math curriculum we’ve had has worksheets for students. I do this for two reasons: I teach differently — sometimes slightly, sometimes quite a bit — than what the curriculum writing team was thinking. There’s a particular structure/scaffold that reflects how I see the content […]

Also posted in Course 1 (6th Grade Math), Course 2 (7th Grade Math), Geometry | Tagged , , , , , , , , , , , | 1 Response

Six Ways to See Visual Pattern #324

I know you weren’t asking, but I see n overlapping squares. — Hunter Patton (@professorpatton) November 12, 2019   What about you? How do you see the pattern in the tweet above growing? Please take a look before I completely ruin it for you. (So much for my rule of “never tell an answer.”)   […]

Also posted in Course 1 (6th Grade Math), Course 2 (7th Grade Math), Problem Solving | Tagged , , , , | 2 Responses

Euclid’s Algorithm

I show my 6th graders this image, pointing out that this picture represents the two numbers 1 and 1 that I’d entered at the top. I then ask them to give me two new numbers — any two positive integers [that are 10 or less, for now] — and the computer will draw a new […]

Also posted in Course 1 (6th Grade Math), Problem Solving | Tagged , , , , , , , , | 10 Responses

Solving an Equation with a Fraction

From CPM: The Sutton family took a trip to see the mountains in Rocky Mountain National Park.  Linda and her brother, Lee, kept asking, “Are we there yet?”  At one point, their mother answered, “No, but what I can tell you is that we have driven 100 miles and we are about 2/5 of the way there.” […]

Also posted in Algebra, Course 1 (6th Grade Math) | Tagged , , | 6 Responses

Ethan Hall, teacher and web entrepreneur from Israel, emailed me this morning asking me to check out his visual patterns generator on There’s a lot of cool graphing tools other than the VP generator. I’m kinda blown away. Go play! Go do math!

Also posted in Algebra, Course 1 (6th Grade Math), General, Geometry, Problem Solving | Tagged , , | 5 Responses

Joint Investment

Would you have known immediately that the number 1729 is the sum of two cubes? You think you’re so smart, but you’re no Ramanujan. He told Hardy that 1729 is the sum of two cubes in two ways: 13+123 and 93+103. I read The Man Who Knew Infinity a few years ago. I might check out the movie when it hits […]

Also posted in Problem Solving | Tagged , , , , | 3 Responses

The Shoe Sale

(On a side note, I’m not sure what I love more, my left foot or Google Classroom.) This problem is from Peter Liljedahl’s site. The Shoe Sale You decide to take advantage of a buy 2 pair get 1 pair of equal or lesser value for free sale at the local shoe store. The problem is […]

Also posted in Course 1 (6th Grade Math) | Tagged , , , , , | 3 Responses

Desmos Puppy House

We don’t cover quadratic in Math 8 this year, so we really can’t do Des-man. I come up with “Puppy House” instead so my students can still create something that allows them lots of practice with writing linear equations with domain and range restrictions. They draft the house on paper. The house needs to have a minimum of 6 […]

Also posted in Algebra | Tagged , , , , , , | 3 Responses

Grade 6 Rocks Visual Patterns

I’m always happy to hear how teachers use with their students. Michael Fenton shares how he uses the patterns with Desmos. And this. Alex Overwijk’s students use the big whiteboards. Whiteboard photos of that my S’s did yesterday….thanks — Alex Overwijk (@AlexOverwijk) March 7, 2015   Bridget Dunbar removes some figures, and […]

Also posted in Algebra, Course 1 (6th Grade Math) | Tagged , , , | 13 Responses