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Curated OER
Completing the Square #3
In this Algebra II worksheet students solve quadratic equations by completing the square. The one page worksheet contains ten problems. Solutions are not provided.
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Get a Half-life!
High schoolers explore decay functions and the half-life of a substance. Through an M&M activity with calculators, students collect and graph data. They determine the linear, quadratic and exponential functions of the graph. High...
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Taylor Polynomials, Minima, Maxima and Inflection Points
In this Taylor polynomial worksheet, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
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Piecewise Modeling with Multiple Functions: Federal Debt
Students analyze data on debt and write an equation. In this statistics lesson plan, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts...
Mathalicious
XBOX Xpotential
Touchdown! This is an exponentially insightful lesson that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or exponential....
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Sums and Difference of Cubes
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
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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...
Math Centre UK
Integrating Algebraic Fractions 1
Don't get stuck on the integral when you can incorporate partial fractions. A well-explained guide, there are seven pages and a tutorial video that detail the steps for different types of algebraic fractions.
Mathalicious
Domino Effect
Carryout the activity to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping. They...
Curated OER
Mirror Curvature
Learners 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 the...
Curated OER
The Discriminant
In this discriminant worksheet, high schoolers use the discriminant to determine the number of roots a polynomial contains. Explanations and examples are provided prior to the exercise. This two-page worksheet contains ten problems.
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Products of Linear Functions
Students investigate the horizontal intercepts of functions. In 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...
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Application of Parabolas
Students graph quadratic equations. In this algebra lesson, students relate the parabola to real life applications. They identify the maximum and minimum of the parabola.
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Solving Systems of Equations Algebraically
Students solve systems of equations algebraically. In this algebra lesson, students solve systems using substitution and elimination. They solve linear and quadratic systems.
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Arithmetic Complex Numbers
Learners convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Algebra I: Multiplying Polynomials and Factoring
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...
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Polynomials Degree and Finite Differences
In this algebra worksheet, students identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.
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Properties of a Parabola
In this algebra worksheet, students identify the properties of a parabola. They factor and graph quadratic equations. There are 18 questions.
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Complete the Square
In this quadratic equations worksheet, students complete the square, factor a trinomial, and solve using square roots. There are eight questions with a provided workspace.
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Factoring Trinomials
Students factor trinomials and quadratics. In this algebra lesson plan, students solve quadratics when the leading coefficient is one. They use a special factoring pattern to solve the trinomial.
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Iterating the Function and Complex Numbers
Pupils identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
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Linear Systems: Applications of Determinants
In this determinant worksheet, students explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
Curated OER
Factoring Trinomials
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.
Curated OER
Diophantus II
High schoolers use an ancient math game to establish the context for solving problems by investigating them in a systematic and mathematical way. They also need to have the ability to solve various types of equations.
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