Howard County Schools
Building a Playground
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
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Quadratic Equations
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
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Quadratics: Vertex Form
Students practice graphing quadratic equations. They work to solve and equation involving finding the vertex using given formulas. Once their points have been graphed, students determine the direction in which the angle opens. Worksheets...
Mathematics Assessment Project
Functions
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might use a...
Illustrative Mathematics
Coins in a Circular Pattern
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
EngageNY
Informal Proof of the Pythagorean Theorem
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson plan by using the theorem to find missing side...
Concord Consortium
Painted Stage
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
Bowland
Patchwork Cushions
Find out if there are enough squares. Given diagrams for the first four figures in a sequence, pupils try to determine the next figure. Individuals find the number of square and triangle pieces of fabric that are required to make...
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Word Problems
In this algebra worksheet, students are guided to choose the best method to solve problems using graphing, factoring, completing the square, and quadratic formula. There are 4 problems with an answer key.
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Extra Review
In this quadratic formula worksheet, students solve and complete 22 different types of problems. First, they solve each equation by completing the square and applying the quadratic formula. Then, students graph each function provided and...
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Tukutuku Patterns
Students complete a series of lessons involving Tukutuku patterns, their rotations and area formulae. They determine the algebraic formulae for sequences. They use images as they work through the lessons to find the number of crosses in...
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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...
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Maximum and Minimum Values
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form. Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions. The one page...
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Parabolas
Students find equations of parabolas in real world scenarios. In this finding equations of parabolas in real world scenarios lesson plan, students find the equations of parabolas of US landmarks. Students put a grid on landmarks such...
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Projectile Motion Lab
In this physics worksheet, learners model the position, velocity and acceleration using mathematical formulas and a computer program. Then they interpret the parameters in each of the models. Students also complete the experiment and...
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Chapter 4 Review Worksheet: Polynomial
In this polynomial worksheet, students write polynomial equations, determine the discriminant of equations, and find zeros of functions. This two-page worksheet contains 16 problems.
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Tilted Squares and Right Triangles
Students investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
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Standard Form
In this standard form activity, 11th graders solve and complete 25 different types of problems. First, they write the value of each number given using standard form. Then, students add or multiply each given equation and write in...
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Understanding the Discriminant
In this instructional activity, 11th graders use the quadratic formula to find the discriminant. The discriminant tells how many and what kinds of solution a quadratic equation has. There are 22 question son this instructional activity.
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Word Problems
For this algebra worksheet, students solve word problems using algebra. They factor using the quadratic formula and complete the square. There are 4 problems with an answer key.
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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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Complex Roots Made Visible
In this algebra instructional activity, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.
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The Discriminant
In this discriminant worksheet, 9th graders solve 10 different problems related to determining the discriminant in each equation. First, they find the nature of roots in quadratic equations. Then, students determine whether each of the...
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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 of a...