Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Math12
Basics of Probability
Give your middle schoolers a fighting chance at understanding probability. Offering numerous examples that clearly demonstrate basic probability concepts, this resource helps young mathematicians learn how to visualize the...
CK-12 Foundation
Fundamental Counting Principle with and without Repetition: Outfit Combinations
But I have nothing to wear! Using an interactive, individuals create all possible outfits from three shirts, one belt, and two pairs of pants. Answering a set of challenge questions helps them see what they have learned from the...
CK-12 Foundation
Counting Techniques: Permutations and Combinations
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
CK-12 Foundation
Basic Counting Rules: Sandwich Shop
Young mathematicians make a tree diagram of all possibilities for sandwiches using an interactive. They learn how multiplication speeds up the process of finding the number of outcomes.
Curated OER
An Introduction to Counting
Students define the counting principle and how it relates to integers. In this algebra lesson, students add and subtract using the addition and multiplication principles. They solve problems using combination and permutations.
Curated OER
Calculating and Applying Basic Probability
Eighth graders investigate the basic concepts of probability. In this probability lesson, 8th graders learn the associated probability. They work with spinners, colored cubes in a bag, flip coins, and choose colored candies while they...
EngageNY
End-of-Module Assessment Task - Precalculus (Module 5)
Give your young scholars a chance to show what they've learned from the module. The last installment of a 21-part series is an end-of-module assessment task. It covers basic and conditional probabilities, expected value, and...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Curated OER
Spill the Beans
Students explore the meaning of a fact family. In this Math lesson, students work in small groups to create their own fact family based on color of beans. The beans are colored and represent a given value. Students discover the...
Curated OER
Probability: The Study of Chance
Students practice the basic principles of probability by conducting an experiment, determining if a game is fair, collecting data, interpreting data, displaying data, conducting analysis, and stating and applying the rule for probability.
Balanced Assessment
MasterMind
Knowledge of statistics and probability can increase your advantage when playing games. The activity asks learners to analyze the game of MasterMind to determine the number of possible codes. They also examine different variations of the...
CK-12 Foundation
Permutations with Repetition: Permutations and Repetition
What's in a name? An interactive asks users to find the number of ways to arrange the letters in the word DAD and MOM. Pupils use the interactive to arrange the letters but restrict the permutations to be unique for MOM and answer...
CK-12 Foundation
Sample Spaces and Events: Triple Spin!
Scholars determine the number of possible outcomes when a spinner is spun three times. They start with the case of one spin and build up to the case of three spins.
Curated OER
Teaching Students Mathematical Reasoning Skills
Students can build upon their basic math skills and become higher order thinkers when we encourage the following principles.
Curated OER
Teddy Bears and Friends
Children begin by making direct comparisons between objects and putting a number of objects into order according to length. They are also introduced to measuring with multi-link cubes which allows them to compare objects which cannot be...
Curated OER
Enumeration
In this calculus lesson, students review counting using the principles of Enumeration. They use random selections to count and convert word problems and count. There are 21 problems with an answer key.
Curated OER
Combinations And Permutations
Seventh graders investigate the mathematical concept using a lecture format. The lesson includes a classroom management section with suggestions for lesson execution. Students write a definition for the Fundamental Counting Principle....
Curated OER
Curses and Re-Curses! It's Happening Again.
Students study basic recursion by exploring patterns in the data they generate from two simple probability-based experiments. In the first, students flip a coin to discover how many times they must flip it before it lands on "heads."...
Curated OER
The Joy of Giving
Children identify wants and needs, bake and sell cookies to raise money, and then go to the mall to purchase gifts for Christmas stockings that are donated to the Salvation Army. They then perform Graphing activities to help children...
EngageNY
Calculating Probabilities of Compound Events
Use tree diagrams with multiple branches to calculate the probabilities of compound events. Pupils use tree diagrams to find the sample space for probability problems and use them to determine the probability of compound events in the...
Curated OER
Probability using M & M's
Using M & M's candies, young statisticians predict the color distribution in a packet of candies and test their predictions against their group and the larger class. A review of converting between fractions, decimals, and percents...
Curated OER
Measurement
Students create two prisms out of the same paper. They calcuate the number of centimeter cubes needed to fill each prism. They discover the concept of volume.
Curated OER
Do You Feel Lucky?
Students explore probability by using games based on probable outcomes of events. They name all of the possible outcomes of an event and express the likelihood of such an event occurring.