Beyond Benign
Plastic Bags
Paper or plastic? Explore the environmental effects of using plastic bags through mathematics. Learners manipulate worldwide data on plastic bag consumption to draw conclusions.
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
College Board
Calculations Aren't Enough!
Unlike mathematics, statistics comes with a context. The author reminds teachers that data analysis involves using the context to make sense of the numbers. The article stresses good communication skills by highlighting the scoring...
Illustrative Mathematics
Drinking Juice, Variation 3
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
Portland
State
University
Historical Reflections on the Fundamental Theorem Of (Integral) Calculus
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
Illustrative Mathematics
Designs
A resource that makes for excellent group work as middle schoolers explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group...
Curated OER
Define Geometry Terms
The Common Core is intended to help all children meet high academic standards. Here is a Common Core designed lesson that is intended for learners with communication or language difficulties. The lesson is written in a narrative style...
Curated OER
The Notorious Four-Color Problem
Take a walk through time, 1852 to 2005, following the mathematical history, development, and solution of the Four-Color Theorem. Learners take on the role of cartographers to study a United States map that is to be colored. One rule: no...
West Contra Costa Unified School District
Multiplying Fractions
Three pages make up a reference document designed to assist families in providing the information needed for their children succeed in mathematics. Detailed descriptions and labeled examples showcase how to multiply fractions.
Curated OER
Aunt Sally Poster
Please Excuse My Dear Aunt Sally is the mnemonic device for the order of operations featured on an informative and engaging mathematic poster.
Mathed Up!
Area and Circumference of Circles
Don't go around and around, help your class determine amounts around and in a circle with a video that connects circumference to the perimeter or the distance around an object. The resource includes 14 questions dealing with circles and...
EngageNY
The Relationship of Multiplication and Division
Take any number, multiply it by five, and then divide by five. Did you end up with the original number? In the same vein as the previous instructional activity, pupils discover the relationship between multiplication and division. They...
EngageNY
Base 10 and Scientific Notation
Use a resource on which you can base your lesson on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with scientific notation,...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
EngageNY
Modeling with Inverse Trigonometric Functions 1
Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the lesson plan by interpreting their answers within context.
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models II
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...
EngageNY
Even and Odd Numbers
Even or not, here I come. Groups investigate the parity of products and sums of whole numbers in the 17th lesson in a series of 21. Using dots to represent numbers, they develop a pattern for the products of two even numbers; two odd...
EngageNY
Comparing Integers and Other Rational Numbers
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
EngageNY
Counting Rules—The Fundamental Counting Principle and Permutations
Count the benefits of using the resource. The second installment of a 21-part module focuses on the fundamental counting principle to determine the number of outcomes in a sample space. It formalizes concepts of permutations and...
EngageNY
Probability Distribution of a Discrete Random Variable
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...
EngageNY
Expected Value of a Discrete Random Variable
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
EngageNY
Formal Definition of a Function
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.
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