Balanced Assessment
Dog Tags
Class members demonstrate a proficiency with conditional probabilities through this task. Individuals calculate probabilities using multiplication and addition. They also distinguish between repetition and non-repetition while...
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...
101 Questions
Safe Cracking
How long would it take to break into a safe by testing every possible combination of codes? Pupils view a video clip of this happening and must determine the total amount of time before success. They measure how long each step takes, add...
Concord Consortium
Stocking the Shelves
How many ways can you stock a shelf? It's probably more than you think! Young scholars use data in a frequency table to determine how many ways to stock a shelf given a specific constraint for types of groups. They then repeat the task...
Curated OER
Modeling Permutation Group
Students explore the concept of transformations. In this transformations lesson, students construct an equilateral triangle and a square with a circumscribed circle. Students reflect and rotate their constructions.
Curated OER
Combinations
Learners investigate the possibility of different events using combination. In this statistics lesson plan, students investigate the accuracy of permutations and combinations. They solve problems related to combinations.
Curated OER
An Introduction to Counting
Young scholars 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.
Balanced Assessment
Classroom Groups
How many different ways can a teacher organize a class into groups? In a grouping activity, learners explore the number of possible combinations of groups given different total participants and size criteria. They then make comparisons...
Balanced Assessment
Red Dots, Blue Dots
Count the connections between dots. Young mathematicians come up with a method to determine the number of connections between pairs of dots. The assessment leads the class to determine the connections they can make when groups are...
CK-12 Foundation
Combinations: Making the Team
Determine how many three-player teams you can make from five players. Pupils drag dots representing players to create a list of teams they can form with a limited number of players. They then find out the number of teams one individual...
EngageNY
Counting Problems
Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...
Curated OER
Lining Up the Cars
Learners review how to count the total amount of arrangements using multiplication. Using a computer, they determine the amount of cars needed for a parade in their local community to move the town's officials. They identify any patterns...
Curated OER
Seeing Is Believing
Students investigate the concepts of probability. They use data to find the central tendency, median, and mode. Students design and play a game in order to practice the concepts. They also complete a table with data that is analyzed.
Curated OER
I Am Golden
Middle schoolers become familiar with patterns, the Fibonacci Sequence, and the Golden Ratio. They see how many places these occur. They have practical applications for using the calculator and making charts to extend patterns.
Curated OER
Computer Passwords
Students determine an appropriate numerical representation of a problem situation, including roots and powers. They determine an appropriate number of digits to represent an outcome. Pupils are asked to determine how many years it...
Curated OER
Calculating and Applying Basic Probability
Eighth graders investigate the basic concepts of probability. In this probability lesson plan, 8th graders learn the associated probability. They work with spinners, colored cubes in a bag, flip coins, and choose colored candies while...
Curated OER
The Elvis Password Problem
In this statistics and probability worksheet, students determine how many eight-letter passwords can be made that contain the name ELVIS. The one page worksheet contains one problem. The solution is provided.
Curated OER
Counting Principle
In this probability and statistics worksheet, students work with a family member to determine the number of outcomes in a given situation. The two page worksheet contains four questions. Answers are included.
Curated OER
Shell Sort; Serving up Seafood
Students complete various small group activities to classify items and determine the types of combinations that can be made with these items. In the second lesson, students create menus for a restaurant to help them gain money sense and...
Curated OER
Mathematics Witing: Algebraic Processes and Its Connections to Geometry
Students, using manipulatives, determine how many different ways there are to arrange 3 and 4 objects. They organize and record their arrangements. Students investigate the pattern generated by 3 and 4 objects, they predict how many ways...
Curated OER
The Probability Project
Students work together to complete a project on probability. In groups, they solve probability equations based on the formula and scenerio given to them in a PowerPoint presentation. To end the lesson, they take a quiz on each problem...
Curated OER
Linear Systems: Other Methods of Computing Determinants
In this computing determinants instructional activity, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This...
Curated OER
Linear Systems: Orthogonal Matrices
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
Curated OER
Enumeration
For 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.
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