Activity
Illustrative Mathematics

Congruent Triangles

For Teachers 7th - 9th Standards
Geometers prove that triangle PQR is congruent to triangle ABC by describing any combination of rotations, reflections, and translations that would prove it so. There is only this single task on the handout, but a detailed explanation of...
Lesson Plan
Kenan Fellows

Climate Change Impacts

For Teachers 9th - 12th Standards
Turn up the heat! Young mathematicians develop models to represent different climates and collect temperature data. They analyze the data with regression and residual applications. Using that information, they make conclusions about...
Lesson Plan
EngageNY

Directed Line Segments and Vectors

For Teachers 11th - 12th Standards
Investigate the components of vectors and vector addition through geometric representations. Pupils learn the parallelogram rule for adding vectors and demonstrate their understanding graphically. They utilize the correct notation and...
Lesson Plan
EngageNY

Proving Trigonometric Identities

For Teachers 10th - 12th Standards
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
Lesson Plan
EngageNY

Modeling an Invasive Species Population

For Students 9th - 10th Standards
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications. 
Lesson Plan
EngageNY

Graphs of Exponential Functions and Logarithmic Functions

For Teachers 10th - 12th Standards
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
Lesson Plan
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1
EngageNY

Solving Quadratic Equations by Completing the Square

For Students 9th - 10th Standards
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...
Lesson Plan
EngageNY

Representing, Naming, and Evaluating Functions (Part 1)

For Teachers 9th - 10th Standards
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson plan uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range. 
Lesson Plan
Curated OER

Let's Plot Points

For Teachers 5th - 7th
Use coordinate grid paper to plot points and identify shapes that are already plotted on the paper by saying their coordinates. Pupils also measure the distance between points and play the game Battleship. There are several web links and...
Lesson Plan
Odell Education

Constructions

For Teachers 9th - 11th Standards
Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.
Lesson Plan
Curated OER

Point Comparisons

For Teachers 7th - 9th Standards
Young geometers investigate two-dimensional figures using coordinate grids. They identify polygons and draw examples of their reflection, rotation, and translation on a coordinate grid. And they complete a worksheet practicing examples...
Lesson Plan
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2
Illustrative Mathematics

Equivalent Expressions

For Teachers 8th - 12th Standards
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
Unit Plan
Mathematics Vision Project

Module 3: Geometric Figures

For Teachers 9th - 12th Standards
It's just not enough to know that something is true. Part of a MVP Geometry unit teaches young mathematicians how to write flow proofs and two-column proofs for conjectures involving lines, angles, and triangles.
Interactive
Shodor Education Foundation

Caesar Cipher

For Students 9th - 12th Standards
Caesar ciphers hide secret missives. A simple interactive lets users encode and decode hidden messages. The cipher method here is the Caesar shift.
Interactive
Shodor Education Foundation

Simple Coordinates Game

For Students 5th - 6th Standards
Let coordinate pairs show you the way home. Scholars plot houses on a coordinate plane with given coordinates using an interactive app. Alternatively, they can identify the coordinates of houses already plotted on a coordinate plane.
Interactive
Shodor Education Foundation

Graph Sketcher

For Students 9th - 12th Standards
Sketch graphs with the Graph Sketcher. Scholars graph functions on a coordinate plane. An interactive makes it as easy as inputting the function and clicking a button.
Interactive
Shodor Education Foundation

Whole Number Cruncher

For Students 6th - 8th Standards
Time to crunch the numbers! Young scholars use an interactive number cruncher to practice operations with whole numbers. They input a number and watch as the number cruncher produces the output and then use the data pairs to determine a...
Interactive
Shodor Education Foundation

Experimental Probability

For Students 7th - 12th Standards
Spin into a dicey experiment. Pupils use a spinner or a pair of dice to determine the experimental probabilities of each outcome. The interactive allows for either, one, five, or ten consecutive experiments. Using the applet, learners...
Interactive
Shodor Education Foundation

Racing Game with One Die

For Students 7th - 12th Standards
Pupils roll a die to figure out which car advances on a race track. They determine the rules for each car moving forward and, given the statistics of the winner, compare if it matches their predictions.
Interactive
Shodor Education Foundation

Crazy Choices Game

For Students 7th - 12th Standards
Wanna take a chance on which game is best? The resource provides three games of chance using multiple types of games. Games range from coin toss to cards. Choosing a type of game, pupils determine what wins and enter the theoretical...
Interactive
Shodor Education Foundation

Spinner

For Students 6th - 12th Standards
Go round and round to compare theoretical and experimental probabilities. Learners set the number of sectors and the number of spins for a spinner. Then, a table displays the experimental and theoretical probabilities of the spinner for...
Interactive
Shodor Education Foundation

Measures

For Students 6th - 12th Standards
Take a look at data from a statistical lens. An interactive allows pupils to enter data set, labeling the data including the units used. Manipulating the applet, learners select the statistics to calculate that include total, mean,...
Lesson Plan
Curated OER

Profitable Soda Stand

For Teachers 8th - 10th
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
Lesson Plan
Curated OER

Tangent Lines and the Radius of a Circle

For Teachers 9th - 12th Standards
Your Geometry learners will collaboratively prove that the tangent line of a circle is perpendicular to the radius of the circle. A deliberately sparse introduction allows for a variety of approaches to find a solution.