Curated OER
Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these...
Curated OER
Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and contrast...
Curated OER
Equations and Inequalities
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of each....
Curated OER
Storefront Signs
Learners practice finding the areas and patterns within a square and explore the concept of quadratic functions. They observe and record the area values in a table, plot a graph of Area versus Distance and complete a variety of student...
Curated OER
Factoring
High Schoolers engage in a study of quadratic functions and focus upon the finding of equivalence and its connection between functions. They also practice factoring using the FOIL method while manipulating the equation. The lesson also...
Curated OER
Maximum and Minimum Values
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form. Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions. The one page...
Curated OER
Algebra II: Quadratic Functions
Students collect and organize data, make a scatterplot, fit a curve to the appropriate parent function, and interpret the results. Students translate among the various representations of the quadratic function, formulate equations, use a...
Curated OER
Graphing and the Coordinate Plane
Students gain practice reading coordinates and plotting points by participating in the Coordinates! Game. They demonstrate and test their skills with graph paper and the Maze Game.
Curated OER
Graphing System of Equations
Students solve system of equation. In this algebra lesson, students graph, substitute and eliminate to solve system of equation. They identify the point of intersection and how many solution each system will have.
Virginia Department of Education
How Much is that Tune?
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Virginia Department of Education
Curve of Best Fit
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Curated OER
Investigating Parabolas
Students identify properties of parabolas. For this algebra lesson, students factor quadratic equations and identify the properties of parabolas. They find the roots, vertex and intercepts of a parabola.
Curated OER
Telescope #2
Learners investigate parabolas as the shape of a telescopic lens. In this Algebra I/Algebra II instructional activity, students explore the relationship between the coefficients of a quadratic function and the shape and position of the...
Curated OER
Mirror Curvature
Students investigate parabolas as the shape of a telescopic mirror. In this Algebra I/Algebra II activity, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
Curated OER
SkyHighScrapers
Students investigate quadratic functions. For this Algebra I/Algebra II lesson, students determine the equation of a quadratic function that closely matches a set of points. Students investigate the necessary information that would...
Curated OER
Windsail Design
Students fit quadratic models to windsail designs. In this fitting quadratic models to windsail designs lesson, students compare quadratic models of sails with different measurements and mast size. Students vary the a-value for a sail...
Kenan Fellows
Density
Most scholars associate density with floating, but how do scientists determine the exact density of an unknown liquid? The third lesson in a seven-part series challenges scholars to find the mass and volume of two unknown liquids. Each...
Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
Curated OER
Real-World Linear Programming
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...