Lesson Plan
Illustrative Mathematics

Writing Expressions

For Teachers 6th - 8th Standards
Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...
Lesson Plan
EngageNY

Word Problems Leading to Rational Equations

For Students 10th - 12th Standards
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...
Interactive
Chemistry Collective

Virtual Lab: Creating a Buffer Solution

For Students 9th - Higher Ed Standards
Buffers don't just magically appear in the stockroom when you need them! Give learners a crash course in buffer basics using an interactive lab assignment. Individuals are tasked with creating a buffer with a certain pH that will react...
Lesson Plan
Curated OER

Number Problems

For Teachers 9th - 11th
Students write equations for problems. In this number lesson plan, students add, subtract, multiply and divide numbers to solve for a variable. They rewrite word problems using algebraic symbols.
Lesson Plan
Curated OER

The Visible Spectroscopy Expert Witness Problem

For Teachers 9th - Higher Ed
In a simulated crime science investigation, chemistry or physics sleuths use spectroscopy to analyze solutions. The lesson gives learners practice making salicylate solutions, using spectrophotometers, calculating dilution amounts,...
Lesson Plan
Illustrative Mathematics

An Integer Identity

For Teachers 8th - 12th Standards
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Lesson Plan
EngageNY

Complex Numbers as Solutions to Equations

For Students 10th - 12th Standards
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 
Lesson Plan
EngageNY

Unknown Angle Proofs—Writing Proofs

For Teachers 9th - 10th Standards
What do Sherlock Holmes and geometry have in common? Why, it is a matter of deductive reasoning as the class learns how to justify each step of a problem. Pupils then present a known fact to ensure that their decision is correct.
Lesson Plan
EngageNY

Solving Problems Using Sine and Cosine

For Students 9th - 10th Standards
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles....
Lesson Plan
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EngageNY

Solving General Systems of Linear Equations

For Teachers 11th - 12th Standards
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
Lesson Plan
Curated OER

The Class Trip

For Teachers 3rd - 5th Standards
Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...
Activity
101 Questions

Boat in the River

For Teachers 6th - 8th Standards
Ever feel like you're headed up the down escalator? Don't let your pupils get stuck in that rut! Practice writing equations to solve a problem using an engaging lesson. A video presents information that allows learners to determine how...
Lesson Plan
1
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Curated OER

Text Structure: Organizational Patterns

For Teachers 4th - 8th
Explore plot structure by analyzing text samples with writers. They define terms such as problem and solution, cause and effect, and story arc. They also identify the sequences used in modern stories by reading samples and determining...
Activity
101 Questions

Toothpicks

For Teachers 9th - 12th Standards
Analyze patterns and build functions. Young scholars work on their modeling skills with an inquiry-based lesson. After watching a video presentation of the problem, they write functions and make predictions.
Lesson Plan
Curated OER

Is There a Problem with Wildlife on our Roads?

For Teachers 7th - 12th
Students create a graph and analyze it to see if the data shows there is a problem with wildlife on the roads. In this wildlife collision lesson students write an essay to support their conclusions.
Lesson Plan
Curated OER

Jumping to Solutions

For Teachers 8th - 9th
Students explore two-step linear equations.  In this middle school Pre-algebra lesson, students create and solve equations that describe how a person got to an end postion on a ruler by jumping.  After physically creating the...
Activity
5280 Math

More or Less the Same

For Teachers 8th - 10th Standards
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Lesson Plan
EngageNY

Tides, Sound Waves, and Stock Markets

For Students 10th - 12th Standards
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 
Activity
5280 Math

Capture the Points

For Teachers 8th - 10th Standards
Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...
Activity
5280 Math

Go with the Flow

For Teachers 8th - 12th Standards
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
Lesson Plan
Illustrative Mathematics

Running to School, Variation 2

For Teachers 5th - 7th Standards
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
Lesson Plan
EngageNY

Finding Systems of Inequalities That Describe Triangular and Rectangular Regions

For Students 9th - 12th Standards
How do you build a polygon from an inequality? An engaging lesson challenges pupils to do just that. Building from the previous lesson in this series, learners write systems of inequalities to model rectangles, triangles, and even...
Lesson Plan
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EngageNY

The Remainder Theorem

For Students 10th - 12th Standards
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
Activity
101 Questions

Square Partitions

For Teachers 6th - 8th Standards
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...