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 lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Lesson Plan
EngageNY

One-Step Equations—Multiplication and Division

For Teachers 6th Standards
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
Assessment
EngageNY

Mid-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The 15th installment of a 35-part module is a mid-module assessment task. Covering concepts in the first half of the module, the task acts as a formative assessment, providing you with valuable information on how learners are doing.
Assessment
EngageNY

Mid-Module Assessment Task - Algebra 1 (module 1)

For Students 9th - 10th Standards
Looking for performance tasks to incorporate into your units? With its flexibility, this resource is sure to fit your teaching needs. Use this module as a complete assessment of graphing linear scenarios and polynomial operations, or...
Lesson Plan
EngageNY

One-Step Equations—Addition and Subtraction

For Teachers 6th Standards
Just one step is all you need to find success in solving equations. The 27th installment in a series of 36 teaches how to solve one-step equations involving addition and subtraction. Tape diagrams help future mathematicians in this task.
Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
Lesson Plan
Illustrative Mathematics

Fishing Adventures 1

For Teachers 5th - 7th Standards
Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...
Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 1)

For Teachers 9th - 10th Standards
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...
Lesson Plan
EngageNY

Modeling Video Game Motion with Matrices 1

For Teachers 11th - 12th Standards
Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...
Activity
Illustrative Mathematics

Centerpiece

For Teachers 9th - 10th Standards
Learners hear wedding bells in this problem set, as they help a fictional bride plan the centerpieces for her wedding reception. Algebra is married to geometry as volume, aesthetics, and budgeting all come into play. Learners are...
Lesson Plan
EngageNY

Replacing Letters with Numbers

For Teachers 6th Standards
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson focuses on expressions related to geometry, such as...
Lesson Plan
EngageNY

When Can We Reverse a Transformation? 3

For Teachers 11th - 12th Standards
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third lesson on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous two lessons....
Lesson Plan
EngageNY

Justifying the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
The 14th lesson 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...
Lesson Plan
Illustrative Mathematics

Foxes and Rabbits 1

For Teachers 7th - 9th Standards
Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...
Lesson Plan
EngageNY

Writing Equations Using Symbols

For Teachers 8th Standards
Build upon prior equation writing experience to create more complicated equations. Lesson one in a 33-part unit builds upon the class members' sixth and seventh grade experience of writing linear equations. Several examples...
Lesson Plan
EngageNY

Complex Number Division 1

For Teachers 11th - 12th Standards
Conjugating in the math classroom — and we're not talking verbs! The seventh instructional activity in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to...
Lesson Plan
EngageNY

Interpreting Correlation

For Teachers 9th - 10th Standards
Is 0.56 stronger than -0.78? Interpret the correlation coefficient as the strength and direction of a linear relationship between two variables. An algebra lesson introduces the correlation coefficient by estimating and then...
Lesson Plan
Illustrative Mathematics

Busy Day

For Teachers 5th - 7th Standards
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning...
Activity
Illustrative Mathematics

Global Positioning System II

For Teachers 9th - 12th Standards
Intricate details of a modern technology that many of us take for granted in our phones, computers (and some cars) are laid bare in a short but deeply investigative activity. The math behind a seemingly simple GPS device...
Lesson Plan
EngageNY

Analyzing Residuals (Part 1)

For Teachers 9th - 10th Standards
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
Lesson Plan
EngageNY

Modeling a Context from Data (part 1)

For Teachers 9th - 10th Standards
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision. 
Lesson Plan
EngageNY

Writing Division Expressions

For Teachers 6th Standards
Express division using different expressions. Individuals learn to write division expressions both with and without the division symbol in the 13th lesson of a 36-part series. They consider both numerical and algebraic expressions...
Lesson Plan
EngageNY

The Geometric Effect of Multiplying by a Reciprocal

For Teachers 11th - 12th Standards
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
Lesson Plan
EngageNY

Read Expressions in Which Letters Stand for Numbers II

For Teachers 6th Standards
Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...