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West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
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Polynomials Degree and Finite Differences
In this algebra instructional activity, 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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Introduction to Polynomials
Young scholars analyze the graphs of polynomial functions, examine vocabulary associated with polynomials, and determine the maximum number of real roots possible for a polynomial
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Ellipse
Students explore the concept of ellipses including finding the center, vertices's, foci and eccentricity. They assess how to graph elliptical functions and solve application problems involving ellipses. This assignment is to be completed...
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Parabolas
In this Algebra I/Algebra II worksheet, learners identify the vertex and the axis of symmetry of a parabola, given the equation. The two page worksheet contains a combination of ten multiple choice and free response...
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Surface Area of a Leaf (Grades 7-9)
In this math and science worksheet, students read about the process of photosynthesis and plant growth. They determine how a plant's ability to create food is dependent on the surface area of its leaves using geometric calculations. They...
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The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
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Big Wheels Keep on Turning
Eleventh graders work in groups and investigate how force determines the speed and distance then they view the video, "Math Vantage #7: What's Your Angle?." They are given a real life problem to solve using speed, ramps, angle, incline...
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Reciprocal Graphs
In this graphing worksheet, students graph 8 reciprocal graphs. Students graph the reciprocal of a given graph. Students graph reciprocal cubics, quadratics, linear, circles, and fourth degree functions.
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Numerical Analysis: Polynomials
In this polynomial worksheet, students explore functions, determine the least square error, and explore quadratic spline interpolation. This two-page worksheet contains approximately six problems.
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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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Will Exams Be Cancelled?
If the flu outbreak continues, exams will have to be canceled. Investigate the properties of exponential and logarithmic functions. In this algebra lesson, students use the TI to examine and differentiate between exponential growth and...
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Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus lesson, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
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Numerical Analysis: Worksheet 12: Comparing Root-Finding Methods
In this root-finding worksheet, students rank numbers in asymptotic order. They identify and discuss the roots of the original function. This four-page worksheet contains approximately 10 problems.
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Relating Distance and Velocity Over Time
Students calculate the distance and velocity over time. In this algebra lesson plan, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
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Get a Half Life!
Eighth graders use M&M's to experiment with data. They use a graphing calculator to determine the best equation for their data; linear, quadratic or exponential. They analyze the data to find the half-life of their M&M's.
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Taylor Polynomials, Minima, Maxima and Inflection Points
In this Taylor polynomial instructional activity, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
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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.
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Properties of Parabolas
Learn to identify the properties of parabolas. Students define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
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Parabolas
In this Algebra I/Algebra II worksheet, learners determine the vertex and the axis of symmetry of a parabola. The two page worksheet contains a combination of eleven multiple choice and free response questions. Answers are...
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Maximum and Minimum Word Problems
In this maximum and minimum worksheet, students solve and complete 10 various types of word problems. First, they find the numbers if the product of the square of one of the numbers with the cube of the other number is to be a maximum....
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Transformation of Graphs
In what ways can you transform a graph? An engaging video answers this question as it covers reflections, translations, and stretches of graphs. To test their knowledge, individuals complete a set of problems to apply this knowledge.
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Worksheet 32 - Fall 1995
In this math worksheet, students find the area enclosed by the parabola’s arch and the x-axis. They are asked about the highest point of the parabola in terms of a.
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Parabolas Exist Where?
Students recognize how parabolas are used in architecture and calculate a constant of variation.
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