Lesson Plan
EngageNY

Discrete Random Variables

For Teachers 11th - 12th Standards
You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...
Lesson Plan
EngageNY

Probability Distribution of a Discrete Random Variable

For Teachers 11th - 12th Standards
Learn how to analyze probability distributions. The sixth installment of a 21-part module teaches pupils to use probability distributions to determine the long-run behavior of a discrete random variable. They create graphs of probability...
Lesson Plan
EngageNY

Determining Discrete Probability Distributions 1

For Teachers 11th - 12th Standards
Learn how to determine a probability distribution. In the ninth installment of a 21-part module, future mathematicians use theoretical probabilities to develop probability distributions for a random variable. They then use these...
Lesson Plan
EngageNY

More Examples of Functions

For Teachers 8th Standards
Discrete or not discrete? Individuals learn about the difference between discrete and non-discrete functions in the fourth installment of a 12-part module. They classify some examples of functions as being either discrete or non-discrete.
Lesson Plan
EngageNY

Why Stay with Whole Numbers?

For Teachers 9th - 10th Standards
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...
Lesson Plan
EngageNY

Determining Discrete Probability Distributions 2

For Teachers 11th - 12th Standards
Investigate how long-run outcomes approach the calculated probability distribution. The 10th installment of a 21-part module continues work on probability distributions from the previous lesson. They pool class data to see how conducting...
Unit Plan
Mathematics Vision Project

Module 8: Modeling Data

For Teachers 8th - 10th Standards
Statistics come front and center in this unit all about analyzing discrete data. Real-world situations yield data sets that the class then uses to tease out connections and conclusions. Beginning with the basic histogram and...
Lesson Plan
Illustrative Mathematics

US Garbage, Version 1

For Teachers 7th - 9th Standards
An interesting example of a discrete function and how it is applies to the real world. This could easily make a good collaborative lesson plan with an environmental science class. Practice reading a table and drawing a scatter plot make...
Assessment
1
1
Balanced Assessment

Melons and Melon Juice

For Students 9th - 12th Standards
Model the difference between the graphs of discrete and continuous functions. Scholars examine two scenarios and construct graphs to model the situation. They then compare their graphs that illustrate the subtle difference between these...
Lesson Plan
Curated OER

Data Analysis, Probability, and Discrete Math

For Teachers 4th - 7th Standards
Choose to supplement your probability unit with this resource and you won't be disappointed with the outcome. Teach young mathematicians to organize information using tree diagrams and lists in order to determine the possible outcomes of...
Lesson Plan
Curated OER

The Random Walk

For Teachers 9th - 12th Standards
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...
Lesson Plan
Curated OER

The Random Walk II

For Teachers 9th - 12th Standards
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...
Assessment
1
1
Balanced Assessment

Garages and Phones

For Students 9th - 12th Standards
Examine and compare a linear and step function. The task provides two scenarios, one modeled by a linear function and the other a step function. Pupils create a graph for each and explain how each compares to the other.
Lesson Plan
EngageNY

Interpreting Expected Value

For Teachers 11th - 12th Standards
Investigate expected value as a long-run average. The eighth installment of a 21-part module has scholars rolling pairs of dice to determine the average sum. They find aggregate data by working in groups and interpret expected value as...
Lesson Plan
EngageNY

Estimating Probability Distributions Empirically 1

For Teachers 11th - 12th Standards
What if you don't have theoretical probabilities with which to create probability distributions? The 11th installment of a 21-part module has scholars collecting data through a survey. The results of the survey provide empirical data to...
Lesson Plan
EngageNY

Negative Exponents and the Laws of Exponents

For Teachers 8th Standards
Apply the properties of exponents to expressions with negative exponents. The fifth instructional activity in the series explains the meaning of negative exponents through an exploration of the properties taught in the previous...
Lesson Plan
EngageNY

Definition of Translation and Three Basic Properties

For Students 8th Standards
Uncover the properties of translations through this exploratory instructional activity. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to...
Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Unit Plan
Mathematics Vision Project

Module 2: Linear and Exponential Functions

For Students 8th - 10th Standards
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
Unit Plan
1
1
Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
Lesson Plan
Mathematics Assessment Project

Representing Functions of Everyday Situations

For Teachers 10th - 12th Standards
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
Lesson Plan
Curated OER

Repeating Decimal as Approximation

For Teachers 6th - 9th Standards
You are used to teaching repeating decimals with bar notation that keeps us from writing that number over and over again; now teach what the over and over again represents. This activity allows your mathematicians to explore the infinite...
Lesson Plan
Illustrative Mathematics

Fishing Adventures 1

For Teachers 5th - 7th Standards
Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...

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