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PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
Concord Consortium
Circling
Come full circle in learning about conic sections. Learners first look at the type of conic section formed when concentric circles intersect a standard coordinate plane. They then see which type forms when two sets of concentric circles...
Curated OER
Parabolas
Students define a parabola through hands on creation. In this algebra lesson, students analyze the directrix and focus of a parabola. They create a paper parabola and identify the vertex with points equal distance apart from the vertex.
EngageNY
Solving Inequalities
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
Curated OER
Math: Solving Area and Perimeter Problems
Pupils visit www.explorelearning.com/ Website to solve problems in area and perimeter. Next, they locate the vertex of a quadratic equation. In groups, students construct application problems and exchange them with other groups to solve.
Curated OER
Modeling With Quadratics
Students investigate quadratics through word problems. In this algebra lesson, students models the number of registered males in apprenticeship programs. They investigate the transformation of quadratic function on a coordinate plane.
Curated OER
Graphing Solution of a Quadratic and Linear System
In this algebra worksheet, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.
Curated OER
Inequalities
In this inequalities worksheet, 9th graders solve and complete 18 different types of problems. First, they use systems of 2 equations/2 unknowns to solve each word problem shown. Then, students graph each and identify the vertex plus 2...
Curated OER
Solving Equations By Factoring
In this factoring worksheet, students solve equations by factoring. Explanations and examples are given prior to the exercise. This two-page interactive worksheet contains 12 problems with answers.
Curated OER
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, they should be able to change any quadratic equation into vertex form.
Curated OER
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....
Curated OER
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.
Curated OER
Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
Curated OER
SkyHighScrapers
Students investigate quadratic functions. In 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...
Curated OER
Least Squares
In this least squares learning exercise, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the...
Curated OER
Properties of Operations as Strategies
These multiplication problems give scholars a chance to display their knowledge of math properties. They use the zero property to solve one problem, write a related multiplication fact for a division problem, and complete a final...
Curated OER
Properties of Operations as Strategies
Which property is shown? Scholars examine 10 multiplication equations to determine which property each displays. The properties aren't written for them, so this is a little more challenging. There are no numbers over 12 here.
Curated OER
Sequences and Linear Equations
Students identify the formula to find the nth term. For this algebra lesson, students finish a pattern and identify missing parts in a sequence. They write an equation given a partial sequence.
Curated OER
Sixty-Eight Solving Equations and Performing Operations With Complex Numbers
In this complex numbers worksheet, students classify numbers, perform operations on complex numbers, and find complex solutions to equations, in sixty-eight problems.
Curated OER
Topic 6.5 - Sum and Product of Roots
In this sum and product of roots worksheet, learners solve each of the 9 equations on the page. They then find the sum and product of the roots to check their solution.
Curated OER
Mirror Curvature
Young scholars investigate parabolas as the shape of a telescopic mirror. In this Algebra I/Algebra II lesson plan, students explore the relationship between the coefficients of a quadratic function and the shape and position of...
Curated OER
Telescope #2
Students investigate parabolas as the shape of a telescopic lens. In this Algebra I/Algebra II lesson, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
Curated OER
Marcy's Dots
Students identify the pattern changes that could occur in a series using pictures with dots. They use the patterns on the worksheets to have a context to describe pattern in words. Students look to find the linear, quadratic, or...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
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