EngageNY
Properties of Similarity Transformations
You can explain it, but can you do it? After learners view a sequence of transformations, the next logical step is creating the transformation. Challenge your classes to construct a composition of transformations and verify the...
EngageNY
Triangle Congruency Proofs (part 1)
Can they put it all together? Ninth graders apply what they know about proofs and triangle congruence to complete these proofs. These proofs go beyond the basic triangle congruence proofs and use various properties, theorems, and...
Curated OER
Increasing or Decreasing? Variation 1
Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...
West Contra Costa Unified School District
Geometric Sequences
Place a instructional activity on sequences in your sequence of lessons. Scholars first learn the basics of geometric sequences, such as common ratios and then they write recursive and explicit formulas for geometric sequences.
West Contra Costa Unified School District
Graphing Piecewise Functions
Step up to learn about step functions. The lesson plan, designed for high schoolers, first covers piecewise functions and how to draw their graphs. It then introduces step functions, including the greatest integer (floor) and...
Bowland
Mystery Tours – Plan Your Tour
Everyone loves a vacation and a set of three activities has groups planning a tour of the U.K. using given distance, time, and price data. They solve a variety of problems related to the trip and produce a report on the success of...
Howard County Schools
Drawing Inverses
An Algebra II lesson draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, students graph the logarithmic function. The plan comes with a...
EngageNY
Exploiting the Connection to Trigonometry 1
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex...
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...
EngageNY
Matrix Multiplication and Addition
To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...
Computer Science Unplugged
Twenty Guesses—Information Theory
How do we determine how much information to include and what can be left out? By playing a game of 20 questions, the class generates the best strategies for finding a number. They then move on to guessing the next letter in a short...
Big Kid Science
Measuring Shadows Using an Ancient Method
How did ancient peoples determine the height of really tall objects? Young scientists and mathematicians explore the concept of using shadows to measure height in a hands-on experiment. Paired pupils measure shadows, then calculate the...
Shodor Education Foundation
Box Plot
What information can come from a box? Learners choose a data set to display as a box plot and decide whether to include the median in the calculation of the quartiles, show the outliers, and change the scale. To finish the lesson,...
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
Marbles
Grab some marbles from a bag. The applet simulates drawing marbles from a bag. Pupils determine the number of four colors of marbles in a bag and how many marbles to draw. Using information on whether order matters in the draw and if...
EngageNY
Construct and Apply a Sequence of Rigid Motions
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
Shodor Education Foundation
Dice Table
Convert a table to probabilities. Pupils set up the winning rules for the sums of two dice. Using the rules, the applet fills out a table showing the winners for each combination. Learners determine the probabilities of winning for each...
Shodor Education Foundation
Two Variable Function Pump
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
Shodor Education Foundation
Buffon's Needle
Find the needle on a lined paper. Pupils run a simulation of dropping a needle on a lined paper. The probability of the needle crossing at least one line is pi/2. After each trial, the interactive displays the approximation of pi based...
Shodor Education Foundation
Coin Toss
Are your young mathematicians having a hard time making heads or tails of probabilities? It's no toss up—here is a resource that's sure to straighten them out! Learners run the interactive to toss a coin a different number of times....
Shodor Education Foundation
Stem and Leaf Plotter
The key is in the leaves. Pupils enter data to create a stem-and-leaf plot. The resource then displays the plot and calculates the mean, median, and mode of the data. Using the plot and the calculated measures of spread, learners analyze...
Shodor Education Foundation
Skew Distribution
Slide the class into a skewed view. Learners alter the location of the median relative to the mean of a normal curve to create a skew distribution. They compare the curve to a histogram distribution with the same skewness.
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...