Curated OER
Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra instructional activity, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Curated OER
Quadratics Introduction
Students investigate quadratic functions graphically and algebraically.
Curated OER
Quadratic Formula
For this Algebra II worksheet, 11th graders use the discriminant to determine the nature of the roots of a quadratic equation, determine the best method to use when solving a quadratic, and practice using the quadratic formula to...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Curated OER
Minima/Maxima
In this minima/maxima worksheet, students solve systems of equations, identify the first derivative of a quadratic equation, and find the critical point in an equation. Using Excel worksheets, students graph four equations. There are...
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
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...
Curated OER
Polynomial Function Exam 4
In this polynomial worksheet, learners solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs, and...
Curated OER
"Ball Bounce" Quadratic Functions
Young scholars manipulate a ball and explore quadratic functions. In this algebra lesson, young scholars analyze the graph of a quadratic function. They identify quadratic properties.
Curated OER
Quadratic Functions
Young scholars graph quadratic equations on paper and check their results on the graphing calculator. They predict the direction of the graph and the vertex point. Students use the vertex, axis of symmetry and knowledge of which...
Curated OER
Quadratic Modeling Of Canada's Baby Boom
Students model quadratic equations. In this algebra lesson, students are given data to graph using a function. They investigate vertex and transformation of quadratic functions.
Curated OER
Jumping in the Air - What was your Height?
Young scholars solve equations using the quadratic formula. In this quadratic equations lesson, students use digital cameras to film young scholars jumping and import film clips into a computer. Students use the data in the quadratic...
Curated OER
Products of Linear Functions
Students investigate the horizontal intercepts of functions. For this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
Curated OER
Academic Algebra II 1st Semester Exam
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse...
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
Reflections of a Quadratic Function
Students 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 graph...
Curated OER
Worksheet 6, Graphing Functions
In this algebra worksheet learners graph a given function by completing the square. They analyze a function and tell the axis of symmetry, the intercepts, and vertex. Students identify the maximum or minimum of a graph. Learners identify...
Curated OER
Graphs and Ellipses
Students explore linear graphs, the parabola and the rectangular hyperbola.
Curated OER
The Football and Braking Distance: Model Data with Quadratic Functions
Students engage in a lesson that is about the concept of data analysis with the use of quadratics. They use a Precalculus text in order to give guidance for independent practice and to serve as a source for the teacher to use. The data...
Texas Instruments
Math TODAY for TI-Navigator System - Is Leisure Time Really Shrinking?
High schoolers organize data from the USA TODAY Snapshot, "Is leisure time really shrinking?" into two scatter plots and determine the quadratic model for each scatter plot. They determine if these graphs intersect and learn the concept...
Curated OER
Quadratics: Polynomial Form
High schoolers determine how changes in the coefficients in a quadratic function affect its graph. They determine how to use the equation to determine the intercepts of a quadratic function. Students identify the location of the...
Curated OER
The Quadratic Formula
Students solve quadratic function by completing the square. In this algebra lesson, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
Curated OER
Find Minimum and Maximum
Learners engage in a lesson about finding the values of different graphs written in the vertex form. They rewrite each quadratic equation in vertex form while graphing the equation with the visual display of a parabola that matches the...