101 Questions
Toothpicks
Analyze patterns and build functions. Young scholars work on their modeling skills with an inquiry-based lesson. After watching a video presentation of the problem, they write functions and make predictions.
Virginia Department of Education
Linear Modeling
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
Project Maths
Introduction to Calculus
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based instructional activity helps them keep it in check! The second instructional activity in a three-part series asks learners to analyze...
Mathematics Vision Project
Module 9: Modeling Data
How many different ways can you model data? Scholars learn several in the final module in a series of nine. Learners model data with dot plots, box plots, histograms, and scatter plots. They also analyze the data based on the data...
Education Development Center
Logic of Fractions
Before diving into operations with fractions, learners discover the foundation of fractions and how they interact with one another. Exactly as the title says, logic of fractions is the main goal of a resource that shows pupils how...
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations, then apply these...
CK-12 Foundation
Simplify Products or Quotients of Single Variable Expressions: Quotients of Single Variable Expressions
Investigate division within an algebraic term using an inquiry-based lesson. Individuals adjust sliders and watch as the simplification of the term changes. Questions help guide them to important conclusions.
101 Questions
Domino Skyscraper
Can a domino knock over a skyscraper? An inquiry-based lesson asks learners to calculate the size of domino needed to topple the Empire State Building. Using specific criteria and a geometric model, they find a solution.
101 Questions
Sticky Stickies
Don't let your classes get stuck on area calculations—grab their attention with an inquiry-based lesson! Scholars must develop a plan to determine how may sticky notes it takes to cover the surface of a door. They decide on the...
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
Mathematics Vision Project
Module 1: Functions and Their Inverses
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
Achieve
Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Curated OER
River Optimization Problem
Young scholars define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
Virginia Department of Education
Determining Direct Variation
Once learners realize what direct variation is, they see it's just a type of linear function. The instructional activity poses a general question that leads to the creation of the y = kx formula. The resource includes discussion prompts...
Curated OER
The Study of Urban and Suburban Environments within the Mystic River Watershed
High school students examine their own water-based environments, within the Mystic Watershed. As the learners engage in inquiry-based, hands-on projects, critical thinking skills and problem-solving, the project will lead them to cross...
Project Maths
Introduction to e
First there was pi and now there's e. A discovery-based instructional activity helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The...
Curated OER
Multi-dimensional Modeling of Ore Bodies Making Sense of Empirical Data
Math scholars identify four different rock types in that strata and use this identification and data to construct a two dimensional geologic cross-section. They use data tables to construct a three-dimensional geologic cross-section.
Visa
In Trouble
What are some of the financial risks associated with using credit? Pupils learn the warning signs of incurring financial hardship, and through PowerPoint presentations, worksheets, and discussion, discover the implications of such events...
West Contra Costa Unified School District
Investigating the Discriminant
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see the...
Mathematics Vision Project
Module 3: Features of Functions
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Mathematics Vision Project
Module 5: Rational Functions and Expressions
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
Federal Reserve Bank
Your Credit Report
What is your credit score? How do you find it? Help your pupils answer these questions and more. They will access their free credit report and then analyze its meaning.
Curated OER
So, the Test Is Positive
Students participate in a probability-based exercise. They consider the implications of testing positive for a cancer when the test is less than 100% accurate and analyze their results.
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