How Much Sugar in a Soda? A 3rd/4th Grade Division Problem

I conducted a lesson study with some elementary teachers.  We used Dan Meyer’s engaging lesson called Sugar Packets to get students talking about an interesting problem, sharing their thinking, showing what they know about division strategies.  Dan has the lesson listed as 6th grade ratio and proportional reasoning activity, but we found this problem to be … Continue Reading

Punch-A-Bunch: A 3-Act Math Lesson on Probability

Welcome back math geeks!  I need your help making a 3-Act math lesson on probability better. I love Price is Right because many of the games require contestants to make predictions.  This often involves estimating prices of products.  But sometimes contestants have to make choices of a different nature, and these choices are ripe opportunities … Continue Reading

Seesaw 2: A 3-Act Lesson for 6th Grade Expressions and Equations

How do we invite 6th (and 7th) grade students to authentically engage with an equation in a way that invites students (1) to appreciate how the structure of an equation models a context and (2) to dive deeper in to the meaning of the relationships between variables?

Instead of teaching students how to use the properties of equality to solve “one-step” equations first (which is like using a bazooka to kill a cockroach by the way), I’m wondering if there’s a way to start the exploration of equation solving by inviting students to experience the dynamic relationship between variables first.

The Objectives of Objectives, Part Three: Joy

Welcome back Math Geeks!  I’ve been thinking a lot about the objectives of lesson objectives, and I’m committing to writing a series posts to spark a conversation.  I’m curious about how you frame lesson objectives to maximize student joy, and I invite you to tell me.  If you missed my first post about ways to make … Continue Reading

Two Engaging Proportional Reasoning Tasks

I hope that there are other 6th (and 7th) grade teachers out there that might find this analysis useful if they are looking for ways to increase student engagement, thinking, and discourse around percents, fractions, and proportional reasoning standards.  This engaging learning opportunity can be used at the beginning of a unit as an inquiry-based exploration … Continue Reading

A Bright Idea for 2nd Grade Addition Strategies

It’s my hope that there are other elementary teachers out there that might find this analysis useful if they want to use this compelling and fun lesson by Graham Fletcher in their classrooms to engage their students in exploring addition strategies with regrouping (2.NBT.5, 2.NBT.6, 2.NBT.9). This engaging lesson is very open in the middle. Students have a wide variety of addition strategies they can use including concrete models (base-10 blocks, place value discs, etc) and abstract strategies (arrow method, decomposing, bar method, etc).

Knotty Rope 3-Act: Introducing Division in 3rd Grade

This lesson write-up is for teachers who want to engage their students in exploring division reasoning and problem solving strategies (3.OA.2, 3.OA.3 and 3.OA.7). It’s appropriate to use before and/or after students have explored division and allows for many different conceptual approaches to a solution including using repeated subtraction or repeated addition, equal groups with or without manipulatives, number lines, arrays, bar models, and multiplication or division equations to model a real world problem.

This write-up contains a lesson pathway with specific questions/moves to consider, analysis of the opportunities for student learning, and other wisdoms and insights we learned from teaching this lesson as a part of a lesson inquiry.

Give it a try with your own students. And then tell me how it went. Let’s make it better together.

Array-Bow of Skittles and Multiplication Strategies

This lesson write-up is for teaching a two-digit by two-digit multiplication 3-Act Math lesson where students estimate the number of Skittles in a jar before using information and math to find a more accurate estimate. It uses Graham Fletcher’s Array-Bow lesson and while it addresses standard 4.NBT.5, it’s appropriate for 4th and 5th grade students of all levels. The write-up contains a lesson pathway with specific questions/moves to consider, analysis of the opportunities for student learning, and other wisdoms and insights we learned from teaching this lesson as a part of a lesson inquiry.

Give it a try with your own students. And then tell me how it went. Let’s make it better together.

Proportional Reasoning by Jumping Rope

This lesson write-up is for teaching 6th (and 7th) grade proportional reasoning skills (6.RP.1, 6.RP.2, 6.RP.3) using Graham Fletcher’s Rope Jumper lesson. The write-up contains a lesson pathway with specific questions/moves to consider, analysis of the opportunities for student learning, and other wisdoms and insights we learned from teaching this lesson as a part of a lesson inquiry.

Give it a try with your own students. And then tell me how it went. Let’s get better together.

Decimal Division Strategies and Sense Making for 5th Grade

This lesson write-up is for any 5th or 6th grade teacher who wants to have students explore decimal concepts and refine decimal skills while solving an interesting, low-floor investigation. The lesson covers mostly the decimal division standards (5.NBT.6, 5.NBT.7, 6.NS.3) using Graham Fletcher’s Tomato-Tomato lesson. The activity is accessible to all learners and offers multiple approaches to a solution. The write-up contains a lesson pathway with specific questions and instructional moves to consider, analysis of the opportunities for student learning, and other wisdoms and insights we learned from teaching this lesson as a part of a lesson inquiry.

Give it a try with your own students. And then tell me how it went. Let’s get better together.