Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first instructional activity in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 7 Mathematics Module 3

For Students 7th Standards
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...
Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 2)

For Teachers 11th - 12th Standards
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Worksheet
Curated OER

The Fishing Pole Problem

For Students 11th
In this algebra worksheet, 11th graders use algebra to solve a word problem related to fishing. They figure out how to get a boy home form his fishing trip as their are restrictions as to what he can take on the bus. There is an answer key.
Assessment
EngageNY

Mid-Module Assessment Task: Grade 7 Mathematics Module 4

For Students 7th Standards
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete...
Lesson Plan1:00
Mathematics Assessment Project

Modeling Motion: Rolling Cups

For Students 9th - 12th Standards
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...
Worksheet
Curated OER

The Chicken Soup Problem

For Students 11th
In this algebra worksheets students rewrite word problems using algebraic symbols. They use order of operation to solve for the variables used as they relate to multiplication and addition. There is an answer key.
Lesson Plan
Curated OER

Solving the following Cryptarithm

For Teachers 10th - 11th
In this algebra worksheet, students solve a cryptarithm by deciphering a word problem and finding out how many potential solutions the puzzle has. There is 1 question with an answer key. This would be a great Algebra warm up problem.
Activity
Education Development Center

Writing Numerical Expressions—Hexagon Tables

For Students 5th - 7th Standards
Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.
Activity
Noyce Foundation

First Rate

For Students K - 12th Standards
Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...
Activity
Education Development Center

Making Sense of Unusual Results

For Students 6th - 8th Standards
Collaboration is the key for this equation-solving lesson. Learners solve a multi-step linear equation that requires using the distributive property. Within collaborative groups, scholars discuss multiple methods and troubleshoot mistakes.
Lesson Plan
EngageNY

Linear Equations in Two Variables

For Teachers 8th Standards
Create tables of solutions of linear equations. A lesson plan has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph. 
Lesson Plan
EngageNY

A Synthesis of Representations of Equivalent Ratio Collections

For Teachers 6th Standards
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
Lesson Plan
Illustrative Mathematics

Paying the Rent

For Teachers 8th - 12th Standards
Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...
Lesson Plan
Illustrative Mathematics

Buying a Car

For Teachers 8th - 12th Standards
Teenagers love to think about driving and buying their first car. The intent of this resource is to create an equation for the list price of a car and add the appropriate state tax. Once your teens understand the calculation, ask them to...
Activity
Noyce Foundation

Tri-Triangles

For Students K - 12th Standards
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
Lesson Plan
EngageNY

Interpreting the Standard Deviation

For Teachers 9th - 10th Standards
Does standard deviation work for non-symmetrical distributions, and what does it mean? Through the use of examples, high schoolers determine the standard deviation of a variety of distributions and interpret its...
Lesson Plan
Illustrative Mathematics

Growing Coffee

For Teachers 9th - 12th Standards
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
Activity
Noyce Foundation

Digging Dinosaurs

For Students K - 12th Standards
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
Activity
Noyce Foundation

Measuring Mammals

For Students K - 12th Standards
Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...
Lesson Plan
EngageNY

The Graph of a Linear Equation in Two Variables

For Teachers 8th Standards
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
Lesson Plan
EngageNY

Tax, Commissions, Fees, and Other Real-World Percent Problems

For Teachers 7th Standards
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
Activity
Education Development Center

Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Lesson Plan
EngageNY

Justifying the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
The 14th activity in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the...