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Curated OER
Curve Ball
Learners explore the concept of parabolas by collecting quadratic data on a bouncing ball as it is falling using a motion detector. They plot the data and determine the equation of the quadratic in vertex form, then determine the values...
Curated OER
Celebrating the Fourth of July!
Students model projectile motion algebraically and graphically; and make predictions based on the quadratic algebraic model.
Curated OER
Properties of Parabolas
Have your learners investigate parabolas. In this Algebra II lesson, high schoolers explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix. Students interpret the equation...
Math Worksheet Center
Linear Quadratic Systems
In this linear quadratic system instructional activity, students explore a system with a linear and a quadratic equation. With the given equations, students graph the parabola. They identify the axis of symmetry, the slope, points of...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Point Pleasant Beach School District
Parabola Project
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
Yummy Math
Playing with my calculator on the 4th of July
This fun activity guides learners through an exploration of the effects of replacing f(x) with -f(x), f(x) + c, k f(x), and f(x + c). Using graphing calculators, students experiment with variations of the graph of y = x^2 to design a...
Curated OER
The "U's" Have IT!
Students explore the maximum and minimum values of parabola. In this exponential equations instructional activity, students use graphing calculators or TI Interactive Software to calculate values of parabola and graph x-intercepts of...
Curated OER
Podcasting Parabolas
Students explore parabolas. In this algebra and technology lesson, students construct the equation of a specific parabola, then take digital photos of real-life representations of these parabolas. Students create a podcast...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
CK-12 Foundation
Newton's Method
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...
Curated OER
Coloring Interval Graphs
Students investigate planning an activity and getting it done on time. In this algebra lesson, students define vocabulary words related quadratic equations, including the vertex and intervals. They figure a good way to color graphs...
Curated OER
Quadratic Equations
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
Curated OER
Reflections of a Quadratic Function
High schoolers are asked to explain the relationship between f(s) and f (-x). They are asked to determine how the equation of f(x) differs from the equation of f(-x). Students determine the conditions when f(x) is the same as f(-x). They...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Alabama Learning Exchange
There's Gold in Them There Hills
Need to build a laser fence on Mars? In this cute maximizing-area lesson, young explorers pretend to be prospectors on Mars and must determine the best way to use 20 meters of fencing in order to maximize their area. In addition,...
Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Curated OER
Logistic Growth Model, Explicit Version
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
Mathematics Vision Project
Module 8: Modeling With Functions
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
Curated OER
Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
Curated OER
Finding Patterns and Graphing Functions
Students investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Students graph their results and determine if the...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal Translations
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
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
The Factor Connection
Pupils investigate the connection between factors, zeros, and graphs of quadratic functions. The lesson requires the TI-nspire handheld.