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Illustrative Mathematics
Congruent Triangles
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...
Kenan Fellows
Climate Change Impacts
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...
EngageNY
Directed Line Segments and Vectors
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...
EngageNY
Proving Trigonometric Identities
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
EngageNY
Modeling an Invasive Species Population
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.
EngageNY
Graphs of Exponential Functions and Logarithmic Functions
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...
EngageNY
Solving Quadratic Equations by Completing the Square
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...
EngageNY
Representing, Naming, and Evaluating Functions (Part 1)
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.
Curated OER
Let's Plot Points
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...
Odell Education
Constructions
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.
Curated OER
Point Comparisons
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...
Illustrative Mathematics
Equivalent Expressions
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...
Mathematics Vision Project
Module 3: Geometric Figures
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.
Shodor Education Foundation
Caesar Cipher
Caesar ciphers hide secret missives. A simple interactive lets users encode and decode hidden messages. The cipher method here is the Caesar shift.
Shodor Education Foundation
Simple Coordinates Game
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.
Shodor Education Foundation
Graph Sketcher
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.
Shodor Education Foundation
Whole Number Cruncher
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...
Shodor Education Foundation
Experimental Probability
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...
Shodor Education Foundation
Racing Game with One Die
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.
Shodor Education Foundation
Crazy Choices Game
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...
Shodor Education Foundation
Spinner
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...
Shodor Education Foundation
Measures
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,...
Curated OER
Profitable Soda Stand
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...
Curated OER
Tangent Lines and the Radius of a Circle
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.