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EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Mathematics Vision Project
Module 6: Connecting Algebra and Geometry
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
EngageNY
Algebraic Expressions—The Commutative and Associative Properties
Who says math is boring? Turn dry concepts like properties and vocabulary into an interesting lesson! Examine the commutative and associative properties of addition and multiplication using geometric reinforcement. Through collaboration,...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
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,...
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
EngageNY
Equations Involving a Variable Expression in the Denominator
0/0 doesn't equal 0! Begin this lesson by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
Mathematics Assessment Project
Modeling Motion: Rolling Cups
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...
Mathematics Vision Project
Module 1: Getting Ready Module
This fabulous resource is a must-have for any algebra teacher's arsenal of lessons. Developing the idea of equations and use of variables from basic physical scenarios, learners gain valuable intuition in the structure and meaning of...
Education Development Center
Writing Numerical Expressions—Hexagon Tables
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.
Education Development Center
Making Sense of Unusual Results
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.
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A lesson has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
EngageNY
A Synthesis of Representations of Equivalent Ratio Collections
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...
EngageNY
Interpreting the Standard Deviation
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...
EngageNY
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
EngageNY
The Graph of a Linear Equation in Two Variables
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...
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
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...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Education Development Center
Creating a Polynomial Function to Fit a Table
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...
EngageNY
Justifying the Geometric Effect of Complex Multiplication
The 14th lesson plan 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...
EngageNY
Equations Involving Factored Expressions
Be ready mathematicians of every level. This lesson leads to the discovery of the zero product property and provides challenges for early finishers along the way. At conclusion, pupils understand the process of using the zero product...
EngageNY
Exponential Growth—U.S. Population and World Population
Show how exponential growth can look linear. Pupils come to understand the importance of looking at the entire picture as they compare the US population to the world population. Initially, the populations look linear with the same rate...
EngageNY
Distributions and Their Shapes
What can we find out about the data from the way it is shaped? Looking at displays that are familiar from previous grades, the class forms meaningful conjectures based upon the context of the data. The introductory lesson to...
EngageNY
More on Modeling Relationships with a Line
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a...
EngageNY
Conditional Relative Frequencies and Association
It is all relative, or is it all conditional? Using an exploration method, the class determines whether there is an association between gender and superpower wish through the use of calculating conditional relative frequencies. The...