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  • CCSS.Math.Content.HSF-LE.A.1
Math Memos
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MathMemos is a teacher space where adult educators share rich math problems, samples of student work, and practical suggestions for bringing the problems to life in the classroom. All math problems are:

(1) Open-ended, meaning that it might have more than one answer or there may be multiple solution pathways to solve the problem.

(2) The prompt does not clearly direct the students towards a procedural pathway in solving the problem.

(3) Students should be able to struggle productively with the problem for an extended period of time: they are student driven.

The problems include and integrate a wide range of math content and topics such as: Algebra, Geometry, Functions, Number & Quantity, and Statistics & Probability. You can also search for specific topics (fractions, systems of equations, equality) or problem solving strategies (guess & check, charts & tables, visual strategies, manipulatives).

The resources is designed so that teachers can be thoroughly connected to a problem before taking it into the classroom, by solving it themselves and looking at samples of student work that other teachers have posted online. Then, teachers are encouraged to reflect on how the problem played out in their own classroom and post their reflections.

This collection is an ongoing project with new problems being added as teachers submit new write-ups.

A PD Module is available for Professional Developers.

MathMemos was created by Tyler Holzer with a grant from the New York State Education Department Office of Adult Career and Continuing Education Services.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
CollectEdNY
Author:
Celia Volbrecht
Chris Giorgio
Danielle Fridstrom
Daphne Carter McKnight
Eric Appleton
Patricia Helmuth
Randy Raux
Todd Orelli
Tyler Holzer
Date Added:
09/21/2017
Push and Support Cards: A Bridge to Advanced Mathematics for the Multi-Level Adult Education Classroom Curriculum Guide
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Adult education classrooms are commonly comprised of learners who have widely disparate levels of mathematical problem-solving skills. This is true regardless of what level a student may be assessed at when entering an adult education program or what level class they are placed in. Providing students with differentiated instruction in the form of Push and Support cards is one way to level this imbalance, keeping all students engaged in one high-cognitive task that supports and encourages learners who are stuck, while at the same time, providing extensions for students who move through the initial phase of the task quickly. Thus, all
students are continually moving forward during the activity, and when the task ends, all students have made progress in their journey towards developing conceptual understanding of mathematical ideas along with a productive disposition, belief in one’s own ability to successfully engage with mathematics.

Subject:
Mathematics
Material Type:
Lesson Plan
Module
Teaching/Learning Strategy
Author:
Patricia Helmuth
Date Added:
05/24/2018
Resources for Using PhET Simulations in Class  PhET Activities Database
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CC BY-NC-SA
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The PhET Activities Database is a collection of resources for using PhET sims. It includes hundreds of lesson plans, homework assignments, labs, clicker questions, and more. Some activities have been created by the PhET team and some have been created by teachers.

Subject:
Life Science
Physical Science
Material Type:
Activity/Lab
Simulation
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
Sam McKagan
Date Added:
08/28/2012
Exponential Functions
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In this task students prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Linear vs. Exponential Functions
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The point of the lesson is for students to be able to distinguish between situations that can be modeled with linear functions and with exponential functions. • Prove that linear functions grow by equal differences over equal intervals, and exponential functions grow by equal factors over equal intervals. • Recognize linear situations. • Recognize exponential situations.

Subject:
Algebra
Material Type:
Lesson
Author:
Skylar Baumann
Date Added:
03/21/2021
Rising Gas Prices Đ Compounding and Inflation
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CC BY
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The purpose of this task is to give students an opportunity to explore various aspects of exponential models (e.g., distinguishing between constant absolute growth and constant relative growth, solving equations using logarithms, applying compound interest formulas) in the context of a real world problem with ties to developing financial literacy skills.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
02/13/2013
F-LE Choosing an appropriate growth model
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CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Below are population estimates for the larger metropolitan areas of Paris (France), Shenzhen (China), and Lagos (Nigeria) for each decade between 1950 ...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/30/2013
Algebra I Module 3:  Linear and Exponential Functions
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In earlier grades, students define, evaluate, and compare functions and use them to model relationships between quantities. In this module, students extend their study of functions to include function notation and the concepts of domain and range. They explore many examples of functions and their graphs, focusing on the contrast between linear and exponential functions. They interpret functions given graphically, numerically, symbolically, and verbally; translate between representations; and understand the limitations of various representations.

Subject:
Algebra
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
09/17/2013
Desmos Activities- Units 1-5 (SMII - MVP)
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Interactive Desmos activities that are associated with Units of the Secondary Math II - Mathematics Vision Project (MVP) curriculum.
Teachers will want to create a class code to share with students to monitor student progress as they work through the Desmos activities for each of the lessons.

Subject:
Mathematics
Material Type:
Interactive
Author:
Mindy Branson
Date Added:
10/24/2019
F-LE Basketball Bounces, Assessment Variation 2
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: SCREEN I In science class, some students dropped a basketball and allowed it to bounce. They measured and recorded the highest point of each bounce. ht...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
03/19/2013
F-LE Boiling Water
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CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Below is a table showing the approximate boiling point of water at different elevations: Elevation (meters above sea level)Boiling Point (degrees Celsi...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/30/2013
Exploring Capillary Action
Read the Fine Print
Educational Use
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Students observe multiple examples of capillary action. First they observe the shape of a glass-water meniscus and explain its shape in terms of the adhesive attraction of the water to the glass. Then they study capillary tubes and observe water climbing due to capillary action in the glass tubes. Finally, students experience a real-world application of capillary action by designing and using "capillary siphons" to filter water.

Subject:
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Chuan-Hua Chen
Date Added:
09/18/2014
Extending the Definitions of Exponents, Variation 2
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CC BY
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The goal of this task is to develop an understanding of why rational exponents are defined as they are (N-RN.1), however it also raises important issues about distinguishing between linear and exponential behavior (F-LE.1c) and it requires students to create an equation to model a context (A-CED.2

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
F-LE Basketball Bounces, Assessment Variation 1
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: SCREEN I In science class, some students dropped a basketball and allowed it to bounce. They measured and recorded the highest point of each bounce. ht...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
03/19/2013