Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense activity. Moving...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Curated OER
Fibonacci II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
Curated OER
Linear Regression and Correlation
Learners explore scatter plots. In this linear regression lesson, groups of pupils graph scatter plots and then find the line of best fit. They identify outliers and explain the correlation. Each group summarizes and shares their...
Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
West Contra Costa Unified School District
Linear-Quadratic Systems
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
West Contra Costa Unified School District
Derivative Theorems
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
Teach Engineering
Applications of Linear Functions
It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...
Kenan Fellows
Reading Airline Maintenance Graphs
Airline mechanics must be precise, or the consequences could be deadly. Their target ranges alter with changes in temperature and pressure. When preparing an airplane for flight, you must read a maintenance graph. The second lesson of...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson plan in the series. Pupils explore linear equations and describe the points of intersection with a given...
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a instructional activity that uses what class members know about explicit formulas to develop an understanding of...
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
EngageNY
When Can We Reverse a Transformation? 2
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses, then...
Kenan Fellows
Lego Thinking and Building
Run a simulated airplane manufacturing plant with your pupils as the builders! Learners build Lego airplane models and collect data on the rate of production, comparing the number produced to the number defective. Using linear...
West Contra Costa Unified School District
Correlation and Line of Best Fit
Computers are useful for more than just surfing the Internet. Pupils first investigate scatter plots and estimate correlation coefficients. Next, they use Microsoft Excel to create scatter plots and determine correlation coefficients and...
BioEd Online
Bone Structure: Hollow vs. Solid
What is meant by the phrase "form follows function?" Allow your budding biologists to discover first-hand through two activities. In the first, groups work together to discover whether a solid cylinder or an empty cylinder can support...
Mathematics Assessment Project
Building and Solving Linear Equations
Young scholars write and solve linear equations in one variable based on descriptions of the operations that are applied to the unknown variable in an algebra machine. They then create their own problems for classmates to solve.
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Bowland
Torbury Festival
Have you been to Torbury Fair? In the set of four lessons, learners solve a myriad of problems related to a music festival, including situations involving floods, market stalls, cows, and emergency plans.
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Kenan Fellows
Applying Linear Regression to Marathon Data
It's not a sprint, it's a marathon! Statistic concepts take time to develop and understand. A guided activity provides an opportunity for individuals to practice their linear regression techniques in spreadsheet software. The activity...
Mascil Project
Drug Concentration
Different medications leave the body at different rates, and how people take them determines their effectiveness. Learners investigate this effectiveness by charting the concentration of a given medication in the body. Using exponential...
Curated OER
Rational Function Graphs
Students use algebraic methods to represent and solve problems. Using a graphing calculator, students solve rational and inequality problems. They visually demonstrate solutions of functions through graphing. Students answer questions...
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