Curated OER
Reading Graphs
Students practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
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Ellipse
Young scholars find the center, vertices, foci, and eccentricity of ellipses using the subscriptions website www.explorelearning.com. They graph elliptical functions and solve application problems involving ellipses.
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Reflections of a Quadratic Function
Students compare transformations of a quadratic function on a graph and determine equations of a quadratic functions based on a reflection. They graph a transformation of a function based on reflections. They etermine if a function is...
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Graphs and Functions
Students are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
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Discriminant Testing
The class works to identify solutions using the discriminant.They use part of the quadratic formula to find the number of solutions a quadratic equation will have. They calculate how-many times the quadratic function will cut the x-axis....
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Finite Differences
Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...
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Get Your Numbers in Shape - TI-83
High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...
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Maximum, Minimum, Increasing, Decreasing
Learners practice with the StudyCard set on assessing real-world contexts dealing with the concepts of maximum, minimum, increasing and decreasing. They view a variety of quadratic functions and equations with their TI-83 Plus calculators.
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Collecting Ball Bounce Data
Learners investigate quadratic equations as they use a CBR to collect and analyze data regarding a bouncing ball. Pupils explore different methods for determining the equation of the parabolic path including quadratic regression and...
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Strike a Pose: Modeling in the Real World (There's Nothing to It!)
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
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Factoring Trinomials
Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them relate...
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Completing the Square Algebraically
Using TI-Nspire, scholars rewrite quadratic expressions by completing the square. They change the equation into vertex form. By the end of this lesson plan, they should be able to change any quadratic equation into vertex form.
Alabama Learning Exchange
I'm Lovin' It: Finding Area Between Curves
Learners explore the concept of finding the area between two curves. In this finding the area between two curves instructional activity, students model the logos of McDonalds, Nike, and Motorola on grid paper. Learners find functions to...
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TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, learners explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and...
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Students explore the concept of sine and cosine. In this sine and cosine activity, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent function shift the graph. ...
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Factoring Trinomials
Students factor trinomials and other quadratic functions. In this algebra activity, students solve trinomials containing negative and positive coefficients. They factor quadratics of difference squares as well as regular polynomials.
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Extraneous Solutions
High schoolers find the roots of quadratic equations. In this algebra lesson, students solve radical equations and identify the positive and negative roots. They graph and analyze their functions.
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Multiplying Monomials
High schoolers differentiate between linear and quadratic functions. In this algebra instructional activity, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
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Curve Fitting
Pupils investigate linear, quadratic, and exponential regressions. They plot sets of data points, determine the regression equation that best fits the data and lastly investigate the coefficient of determination.
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Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus activity, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
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Standard Form of Equations
Learners complete the square and identify different parts of a quadratic equation. In this algebra lesson, pupils graph conics using the TI calculator. They rewrite equations by completing the square.
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Finding Patterns and Graphing Functions
Young scholars 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. Young scholars graph their results and...
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Linear Functions: Are You Ready for the REAL World?
students emulate a real world problem and model it with mathematics working in a small group. Observe and facilitate discussion as the groups use various strategies, such as (graphs, brainstorming, tables, and dialogue.
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Investigating Parabolas
Students identify properties of parabolas. In this algebra lesson, students factor quadratic equations and identify the properties of parabolas. They find the roots, vertex and intercepts of a parabola.