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Explore Correlation in Scatterplots of Student Preferences
This activity begins with students ranking a series of things. The example below asks students to rank summer activities 1…
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Phone Plans (EMPower Math)
This lesson is made up of two activities that help students develop their algebraic thinking. Specifically, students work on matching…
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Proportional Reasoning, Part 2
Proportional Reasoning (Part 2) is available at the links above. Part 1 is available here. In this packet, students will explore…
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Proportional Reasoning, Part 1
Proportional Reasoning (Part 1) is available at the links above. Part 2 is available here. In this packet, students will explore…
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Three-Dimensional Geometry, Part 1
Three-Dimensional Geometry (Part 1) is available at the links above. Part 2 is available here. In this packet, students will explore concepts…
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Three-Dimensional Geometry, Part 2
Note: This packet (Part 2) was formerly titled Density: Volume & the Density of Matter. Three-Dimensional Geometry (Part 2) is…
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Magic Triangle
I like using puzzles like this as a do-now at the beginning of class and for students who arrive early…
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Adaptation of Four Views of a Function (ABE/HSE, high level NRS 2)
The NYSED/CUNY Fast Track GRASP Math Packets are student-facing materials organized by different topics in math. The activities in the packet are…
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Adaptation of Function Machines (ABE/HSE, high level NRS 2)
The NYSED/CUNY Fast Track GRASP Math Packets are student-facing materials organized by different topics in math. The activities in the packet are…
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Adaptation of Visual Patterns – the catapult pattern (ABE/HSE, high level NRS 2)
The NYSED/CUNY Fast Track GRASP Math Packets are student-facing materials organized by different topics in math. The activities in the packet are…
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Adaptation of Visual Patterns – the arch problem (ABE/HSE, high level NRS 2)
The NYSED/CUNY Fast Track GRASP Math Packets are student-facing materials organized by different topics in math. The activities in the packet are…
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Adaptation of Growing Number Patterns (ABE/HSE, high level NRS 2)
The NYSED/CUNY Fast Track GRASP Math Packets are student-facing materials organized by different topics in math. The activities in the packet are…
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Adaptation of Repeating Number Patterns (ABE/HSE, high level NRS 2)
The NYSED/CUNY Fast Track GRASP Math Packets are student-facing materials organized by different topics in math. The activities in the…
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Adaptation of the Chinese Zodiac problem (ABE/HSE, high level NRS 2)
The NYSED/CUNY Fast Track GRASP Math Packets are student-facing materials organized by different topics in math. The activities in the…
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Number Lines and the Coordinate Grid, Part 2
Number Lines and the Coordinate Grid (Part 2) is available at the link above. Part 1 is available here. Every number…
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Number Lines and the Coordinate Grid, Part 1
Number Lines and the Coordinate Grid (Part 1) is available at the link above. Part 2 is available here. Every number…
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Two-Dimensional Geometry, Part 1
Two-Dimensional Geometry (Part 1) is available at the link above. Part 2 is available here. In this packet, students will explore…
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Two-Dimensional Geometry, Part 2
Note: This packet (Part 2) was formerly titled Area and Population Density. Two-Dimensional Geometry (Part 2) is available at the…
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Teachers’ Guide to the NYSED/CUNY Fast Track GRASP Math Packets
The NYSED/CUNY Fast Track GRASP Math Packets are a set of study materials for math topics for high school equivalency.…
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Dapper Cat: Exploring scatterplots on Desmos
Dapper Cat is a Desmos activity designed so students will begin to see a set of data points as a…
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Clothesline Math
Clotheslines are interactive number lines. Students place (and move) cards on a clothesline where they think the number belongs. It…
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Interactive Open Middle Activities for virtual learning (GEOGEBRA)
This collection of digitally interactive Open Middle exercises was developed by Tim Brzezinski and he is adding more all the…
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Math Monday Handouts
This growing collection of materials was developed by NYSED Teacher Leader Dominador "Jun" Caoile in collaboration with the CUNY Math…
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The Pyramid Scheme Problem
(These materials were created, gathered, and developed by Sadeka Harris, an Instructional Facilitator at the Bronx Adult Learning Center and…
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Match My Parabola (DESMOS activity)
In this Desmos activity, students work through a series of scaffolded quadratic graphing challenges to develop their proficiency with standard,…
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Inequalities on the Number Line (DESMOS activity)
In this interactive Desmos activity, students explore linear inequalities and make connections among multiple representations (including algebraic expressions, verbal statements,…
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Will it hit the hoop? (DESMOS activity)
In this activity, students predict whether various basketball shots will go through the hoop, and then model these shots with…
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Graphing and Comparing Linear Equations (DESMOS activity)
Adult education teacher Carol Cashion created this Desmos lesson to presents a series of activities using tables, equations, graphs and…
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Turtle Crossing (DESMOS activity)
In this Desmos lesson, students make connections between several turtle-crossing scenarios and the graphs that represent these scenarios. Here are…
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Turtle Time Trials (DESMOS activity)
In this Desmos lesson, students explore connections among different representations of proportional relationships, with a glimpse at non-proportional relationships. The…
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Solve Me Mobiles
Solve Me Mobile allows students to develop algebraic thinking through balance puzzles like the one below. The site offers a…
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SPLAT!
Splat! is an interactive number sense strategy that is accessible to all students, that can be used to develop a visual…
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What Comes Next? (game)
What Comes Next? is an online game created by Sarah Lonberg-Lew & Eric Appleton of the Adult Numeracy Network (you may…
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Guess My Rule (game)
Guess My Rule is an online game created by Sarah Lonberg-Lew & Eric Appleton of the Adult Numeracy Network (you may…
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Nana’s Paint
This activity was created by Dan Meyer. Tell students they are going to watch a brief video (50 seconds). Let…
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What Every Teacher Should Know About GED Math
This document provides an overview of what every teacher should know about GED Math. It is a good place to…
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Interactive Connections: Number Lines and the Coordinate Grid
Interactive Connections: Number Lines and the Coordinate Grid is a collection of DESMOS activities that provide online, interactive activities and…
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Math – Test Practice Questions (from the Fast Track GRASP Math Packets)
This document contains more than 200 HSE-style math test practice questions in these topics: Number & Quantity Geometry Probability and…
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Math and the Pandemic Lesson Materials
Ready-to-Use Pandemic Lesson Materials The SABES PD Center in Massachusetts developed two sets of math materials on pandemics, one for…
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Algebraic Thinking: Interlocking Circles (DESMOS activity)
This very interactive activity was created for adult math learners using the Desmos Teacher Activity Builder by members of the…
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Math Resources for Spanish HSE
Finding dynamic materials for teaching math in Spanish-HSE classes is a real challenge. Beyond a few workbooks, there is not…
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Sums of Consecutive Numbers
This lesson was originally taught in an online math study group over the summer of 2020. Thank you to the…
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The Paycheck Problem (online)
This lesson is related to linear functions and is best used in conjunctions with other linear functions practice. It was…
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Tools of Algebra: Linear Functions, Part 1
Tools of Algebra: Linear Functions (Part 1) is available at the link above. Part 2 is available here. Note: When…
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Tools of Algebra: Linear Functions, Part 2
Tools of Algebra: Linear Functions (Part 2) is available at the link above. Part 1 is available here. Note: If you…
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Being Counted: Probability & Statistics, Part 1
Part 1 of Being Counted: Probability & Statistics is available at the link above. Part 2 is available here. Note:…
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Being Counted: Probability & Statistics, Part 2
Part 2 of Being Counted: Probability & Statistics is available at the link above. Part 1 is available here. Note:…
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Contagious Diseases and Exponents
With the coronavirus all over the news right now, you might want to explore the math of contagious diseases with…
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Partial Product Finder
Partial Product Finder is a free website that allows multiplication combinations to be represented as a rectangle, or array, with…
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Tools of Algebra: Nonlinear Functions, Part 2
Tools of Algebra: Nonlinear Functions (Part 2) is available at the link above. Part 1 is available here. Note: If…
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Tools of Algebra: Nonlinear Functions, Part 1
Tools of Algebra: Nonlinear Functions (Part 1) is available at the link above. Part 2 is available here. Note: If…
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Tools of Algebra: Expressions, Equations, and Inequalities, Part 2
Tools of Algebra: Expressions, Equations, and Inequalities (Part 2) is available at the link above. Part 1 is available here.…
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Restaurant Management Math: Menu Pricing with Benchmark Percentages
This activity comes from the NYSED/CUNY CareerKits. It an be found in Hospiltality, Recreation, & the Arts in Unit 5:…
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Tools of Algebra: Expressions, Equations, and Inequalities, Part 1
Tools of Algebra: Expressions, Equations, and Inequalities (Part 1) is available at the link above. Part 2 is available here.…
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The Power of Exponents, Part 2
The Power of Exponents (Part 2) is available at the link above. Part 1 is available here. Note: If you…
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The Power of Exponents, Part 1
The Power of Exponents (part 1) is available at the link above. Part 2 is available here. Note: If you…
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Essential Practice Problems for HSE Students in Algebra
This packet was created by NYSED Teacher Leader, Todd Orelli in collaboration with the CUNY Adult Literacy & HSE professional…
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Description of NYSED/CUNY Fast Track GRASP Math Packets
Follow the URL link above for a description of the NYSED/CUNY Fast Track GRASP Math Packets, written by Mark Trushkowsky…
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Essential Practice Problems for HSE Students in Functions
This packet was created by NYSED Teacher Leader, Todd Orelli in collaboration with the CUNY Adult Literacy & HSE professional…
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Pomegraphit! (DESMOS activity)
Flip open your textbook to the chapter that introduces the coordinate plane. I’ll wager $5 that the first coordinate plane…
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Solve Me Mobiles – Solving equations was never this much fun.
SolveMe Mobiles is a free website designed to support and engage students in algebraic reasoning through puzzles. The colorful puzzles…
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Cover the Field
Students play with the idea of decomposing rectangles by trying to "cover the field" - a larger rectangle - with…
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GED Math Formula Sheet
See the pdf link above for the GED Math Formula Sheet. Also included is a reference sheet for using the…
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Maxine’s Rule – Graphing Inequalities
As a high emphasis topic on the HSE exam, it is likely that students will have to understand the graphs…
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Accurately Weighing Pennies
This problem was adapted by Patricia Helmuth, an adult education teacher from the Hudson Valley in NY. The situation in…
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Fixing the Furnace
This problem was adapted by Patricia Helmuth, an adult education teacher from the Hudson Valley in NY. The situation in…
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Function Activities with the TI-30XS
Students do not need to know how to enter functions into the TI-30XS, but for teachers want to incorporate more…
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Bacterial Growth on Hands (video)
In this video, scientists grow handprints of bacteria agar plates in a warm incubator to show how bacteria grows on…
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Practicing Order of Operations with the Four Fours Problem
For this challenge, students need to write the numbers 1 through 20 with expressions, using only four 4s, any of…
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Teaching the Framework 4
(This is part of a series on teaching functions in a high school equivalency class. Other posts can be found here.)…
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Super Tic-Tac-Toe and Coordinate Graphing
This activity, adapted from Lessons for Algebraic Thinking, Grades 3-5 by Marilyn Burns, is a great introduction to plotting points…
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Teaching the Framework 3
(This is my third blog post on teaching functions in a high school equivalency class. Other posts can be found here.)…
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Push and Support Questions for the Commission Problem
These push and support questions were written to be used with the Commission Problem from Unit 2 of the CUNY…
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A Fair Price
This activity comes from the Math Assessment Project and is a very engaging way to explore various geometric formulas, especially…
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Birds’ Eggs
For this problem, students have to read and interpret a scatterplot about the length and width of birds' eggs. It…
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Teaching the Framework 2
(This is my second blog post on my experience teaching functions in a high school equivalency class. My other post…
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A Very Odd Job
"I need you to work for me for thirty days. You will work one hour per day. Theneat part is…
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Elephants and Horses
This activity comes from Michelle Rinehart and her blog How We Teach. It connects really well with Unit 7: Mathematical…
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HSE Practice Test Questions based on the Taxi Cab Problem
These practice test questions are based on the taxi cab problem from Unit 2 of the CUNY Math Framework and…
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Lake Algae
This problem comes from Illustrative Mathematics and can be used to explore exponential growth with students in a science context.…
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Building Functions with Cubes
At the heart of this problem is a model of a six story building made with cubes. There are a…
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Write a function defined by an expression in different but equivalent forms…
This problem from Illustrative Mathematics uses a springboard dive to explore the following medium emphasis CCRS content standard: Write a…
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Towering Numbers
This task can be used help students practice developing rules for functions by making generalizations moving from the number of…
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Function Situations
This task from Illustrative Mathematics helps students explore the concept to help students with the following CCRS standard: Understand that…
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Containers (interpreting key features of graphs)
This task was developed by the folks at Illustrative Mathematics. High School Equivalency teachers will find it useful when preparing…
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Visual Patterns: Using Structure to Rewrite Expressions
These two handouts are adapted from a task found on Ilustrative Mathematics. They allow students to work on using the…
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Seeing Dots (Using the structure of an expression)
This task from Illustrative Mathematics is a good model to help students see structure in expressions. This task specifically deals…
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Fishing Adventures (in mathematical inequalities)
This task from Illustrative Mathematics covers the following algebra standard: Graph the solutions to a linear inequality in two variables…
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Organ Function Grinder (video)
This video shows the organ function grinder from the National Museum of Mathematics as it solves a quadratic function for…
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Systems of Equations – Using Student Algorithms to Bridge to Algebraic Thinking
The url link above wil take you to a list of problems from Math Memos. The problems are "Chicken and…
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Writing About Math – Solving Equations
One of the standards on the CCRS dealing with reasoning with equations and inequalities is: Explain each step in solving…
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Exploring Algebraic Thinking in a Math Teachers’ Circle (webinar)
Three members of the NYC Community of Adult Math Instructors (CAMI) led a webinar called "Exploring Algebraic Thinking in a…
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Line of Best Fit
This activity allows the user to enter a set of data, plot the data on a coordinate grid, and determine…
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Exploring Linear Data
Students model linear data in a variety of settings that range from car repair costs to sports to medicine. Students…
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Discovering Pi
This is not a new lesson, but it is a rich one. Ask students what Pi is and they will…
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Points on a Plane
I came across this problem reading Dan Meyer's blog. The goal is to grab students' attention with a problem they…
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Staircases and Steepness (Slope)
This activity comes from Fawn Nguyen, complete with write up and student handouts. The activity has students put 6 different…
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A Collection of Visual Patterns Handouts
This collection of visual pattern handouts is intended to simplify teachers' preparation. Each visual pattern is part of a standard…
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Function Table Challenge
Once students have an understanding of rules, we need to give them opportunities to practice. Here's an interesting math puzzle…
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Alleviate Math Fears with a Math Fair!
https://youtu.be/gl9YN3zka-c In the spring of 2015, the Adult Program at Sullivan County BOCES, NY hosted a full day Student Numeracy…
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Supply and Demand Graph
We recently noticed that there are a lot of graphs and charts on the Social Studies section of the HSE…
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YouCubed.org’s Week of Inspirational Maths (1 & 2)
YouCubed.org has a bunch of great activities in their two separate weeks of inspirational mathematics activities. The sequence, along with…
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Mouse Population Graphs
In Unit 6: Modeling Exponential Growth, there is a supplemental problem around Observing a Mouse Population (p.143). The problem looks…
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Product Game and the Factor Game
Two amazing games that students of all levels will enjoy and benefit from. This is a great way to introduce…
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Generalizing Patterns – Table Tiles
This lesson from the Math Assessment Project has students using the patterns of tiles on a table top to explore…
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The Algebra of Patterns
These Teacher Notes from Student Explorations in Mathematics (NCTM) describe a series of activities that begins with the arch problem…
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Rice and the Chessboard
Once upon a time, there was this con man who made chessboards for high-end clients — in this case, a…
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Modeling Population Growth: Having Kittens
In this lesson from the Math Assessment Project (MAP), students are given a mock poster that claims that "In just…
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The Paycheck Problem
This problem was written up for MathMemos.org by Eric Appleton. It is a great non-routine problem involving the paycheck of…
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Bacteria population growth lesson plan
This science/math lesson plan is an introduction to exponential growth and reproduction through mitosis. Students start by noticing and wondering…
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Pick a Point
This activity was designed by Dan Meyer. It works really well in conjunction with Unit 2 of the CUNY HSE…
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When will the phone be fully charged?
This mathematical modeling activity from Michael Fenton begins with students looking at a familiar image and writing down what they notice…
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Point, Point, Slope
Practice with rate of change/slope and graphing functions. This challenge was developed by Michael Fenton.
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How Folding Paper Can Get You to the Moon?
This brief film (just under 4 minutes) gives a sense of the power of exponential growth. By imaging a piece…
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MathMemos: Zip Zap Zowie
This MathMemo, written by NYSED Teacher Leader Patricia Helmuth, describes her experience using the Zip Zap Zowie problem with students.…
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HSE-Style Problem Assessment Packet, Aligned to Units 1-4
Students need to experience practice test and HSE-style questions as they develop their understanding through the CUNY HSE Math Curriculum…
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Unit 9: Using Area Models to Understand Polynomials
This lesson plan explores a concrete way for students to conceptualize multiplication that ultimately leads to a deeper understanding of…
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Unit 8: Developing Algebraic Reasoning through Visual Patterns
This unit in the CUNY HSE Math Curriculum Framework offers two lessons for presenting algebra through the use of visual…
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Unit 7: Mathematical Equality
Equality is a fundamental concept in algebra. It is noted through use of an equal sign, represents a relationship of…
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Unit 6: Exponential Growth
Once students have had a chance to explore functions that grow at linear and quadratic rates, they have all the…
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Unit 5: Nonlinear Functions
Units 1-4 of the CUNY HSE Math Curriculum Framework focus on linear relationships and functions, and students have explored these…
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Unit 4: Using Systems of Equations to Make and Justify Choices
Systems of equations appear frequently on the HSE exam, as well as almost all college-entrance exams. Our students really struggle…
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Unit 3: Rate of Change and Starting Amount
Rate of change is a fundamental concept when working with functions. Too often it is presented by writing y =…
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Unit 2: Three Views of a Function (Rule, Table, Graph)
The problems in this unit introduce students to the three views of a function: a rule, a table, and a…
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Unit 1: Introducing Functions
This set of activities with complete lesson plans, introduces students to the concept of functions. Unit Goals: Students will understand…
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Pattern and Function Unit (youcubed.org)
These activities include handouts and teacher notes, together which model an introduction to functions using a sequence of visual patterns.
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Stacking Cups – Andrew Stadel version
This problem begins with a video of stacking two different sized cups (styrofoam and Solo) and asks students to figure…
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Marbleslides (DESMOS activity)
A great Desmos activity that has students adjusting starting amounts (y-intercepts) and rates of change (slope) of lines in order…
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Linear Bundle (DESMOS activity)
A series of Desmos activities focused on exploring the key understandings that(1) Rates of change express themselves as slope of a line,…
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Datelines: What’s an Acceptable Dating Range?
Maxine’s Rule (Unit 1) uses a function to determine appropriate ages for dating as a launch. This activity from Mathalicious…
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Classifying Solutions to Systems of Equations
This lesson plan from the Math Assessment Project has students looking for common solutions to different solutions. Students have to…
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Online Algebra Balance Scales
Solve simple linear equations using a balance beam representation, from the National Library of Virtual Manipulatives.
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Solving Linear Equations with One Variable
A formative assessment activity from the Math Assessment Project out of the Shell Center.
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Twin Puzzles
In this Desmos activity, “Twin Puzzles” are defined as pairs of numerical equations. Each equation is missing some pieces. These pieces…
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Balancing Chemical Equations: Math & Science Connections
This online Phet Simulation allows students to play around with balancing chemical equations and the concept of the conservation of…
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Balancing Act: Math & Science Connections
For some interesting science connections to the concept of equality, check out Balancing Act – this online Phet Simulation allows students to…
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More on Teaching the Noah’s Ark problem
A teacher named Julie Reulbach blog post about using the Noah’s Ark problem with her students (includes samples of student work)
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Fawn Nguyen’s Visual Patterns
Visual Patterns is an amazing resource developed by a middle school teacher in Southern California named Fawn Nguyen. It has the…
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The Border Problem (on the meaning and use of variables)
This classic problem is a great way to make connections to the language of mathematics, specifically around the meaning and…
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Spanish versions of several HSE Math Framework handouts
The following handouts were translated by Haewon Latorre. Introducción a patrones – 1,2,3,4,1,2… Pattern student handout in Spanish EL problema de…
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Central Park (DESMOS activity)
A discovery activity on Desmos where students start off with estimation and end up writing equations to generalize the estimations…
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Graphing Stories
This website features 22 short videos and supplies a handout which students use to graph the story of the situation…
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Penny Circle
A three-act math task from Desmos where students look at a smaller/similar problem to create a model to predict the…
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Polygraph: Parabolas
For teachers who want their students to determine which of a given set of non-linear graphs match a given set…
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How Many Hot Dogs Did They Eat?
A great three-act math task by Robert Kaplinsky based around a MasterCard commercial (brief video) featuring Hot Dog eating champions…
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Connecting Exponential Population Growth and Biological Evolution
In this activity from Teaching About Evolution and the Nature of Science, students develop a model of the mathematical nature…
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Desmos Exponential Bundle
A series of 6 Desmos activites focused on (1) understanding the structure/behavior of exponential functions in relation to linear functions. (Linear…
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A Simulation to Model Exponential Growth
This activity uses the spread of disease as a model for exponential growth and can be done with your students and a bag…
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Virtual Algebra Tiles (National Library of Virtual Manipulatives)
Visualize multiplying and factoring algebraic expressions using algebra tiles.
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Representing the Laws of Arithmetic
A series of activities from the Math Assessment Project that involve making connections between algebraic expressions and visual area models.
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Uncovering Coherence Using Area Models (webinar)
This video—part one of LINCS’ three-part series “Uncovering Coherence Using Area Models”—gives a general overview of how area models can…
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Yohaku Number Puzzles
This site features puzzles to build fluency, number sense and problem-solving skills. There are number puzzles involving addition and multiplication…
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Stacking Cups – Dan Meyer version
This problem is an early version of Dan' Meyer's three-act math tasks. It requires a few styrofoam cups but is…
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Mathematical Modeling: Hot and Cold
The problem at the heart of this Math Assessment Project lesson asks students to look at "student" work and judge…
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The Cup is the y-intercept
A Dan Meyer blog post and video (36 seconds) to perplex and engage students. Here’s one possible way to use it:…
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Secret Codes and the Power of Algebra
These activities use secret codes and ciphers to introduce the concept of functions. They were developed by COMAP (the Consortium for…
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Name that Rule
This activity was developed by Connie Rivera, current president of the Adult Numeracy Network. It involves using the TI-30XS calculator…
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Online Function Machine (from the National Library of Visual Manipulatives)
Similar to the one from Math Playground, this site requires Java.
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Online Function Machine (from Math Playground)
This online resource allows students to play “My Teacher is a Computer” on their own. Every two inputs, the program…
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Counting More Antibodies
Todd Orelli, from NYC's District 79 - has created a bridge from the conceptual understanding developed by the core problems…
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How Much Does a 100×100 In-N-Out Cheeseburger Cost?
This lesson from Robert Kaplinsky is centered around a math problem where students have to use a menu from In-n-Out Burger…
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