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Mathematics Assessment Project

Solving Quadratic Equations

For Teachers 9th - 12th Standards
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
Handout
Del Mar College

Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
Lesson Plan
Curated OER

Discovering Math: Computation

For Teachers 5th - 7th Standards
Middle schoolers add, subtract, multiply, and divide rational numbers. They find the square and the cube of numbers. They create a game incorporating computation on rational numbers. Everyone works together to write and evaluate...
Worksheet
DK Publishing

Big, Bigger, Biggest

For Students Pre-K - K Standards
Which water creature is the biggest? Youngsters look at an image of a big shell, then draw a bigger shell next to it. They do the same for a big fish. Next, learners practice with the superlative as they circle the biggest duck and frog....
Assessment
Mathed Up!

More Difficult Rearranging Formulae

For Students 9th - 12th
How do you solve equations with more than one variable? Scholars view a video that explains solving literal equations as simply an extension of solving simple equations. Once they have a handle on the concept, they work on several...
Worksheet
Curated OER

Quadratic Formula with Imaginary Numbers

For Students 8th - 10th
In this quadratic equation worksheet, students use the quadratic formula to solve 6 fill in the blank problems that involve imaginary numbers.
Lesson Plan
Curated OER

Measurement: Lesson 2

For Teachers 8th
Eighth graders complete math problems given in this lesson, where they find the perimeter and area of specific figures. They estimate the perimeter and area of shapes and figures and then complete the mathematical formula to find the...
Lesson Plan
Curated OER

The Shortest Distance

For Teachers Higher Ed
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
Worksheet
Curated OER

Quadratics and the Discriminant

For Students 9th - 11th
In this algebra worksheet, students calculate the discriminant of a quadratic equation identifying the number of real solution for each equation. They complete the square and use the quadratic function to solve equations. There are 12...
Lesson Plan
Curated OER

Picking Pythagoras

For Teachers 6th - 9th
Young scholars discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
Worksheet
Curated OER

Functions and Fraction Combination

For Students 11th
In this algebra worksheet, 11th graders factor polynomials and find the roots of the equations. They write the rules representing the equation and how to solve it. There are 9 questions.
Assessment
Illustrative Mathematics

Building a General Quadratic Function

For Students 9th - 12th Standards
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Lesson Plan
Mathematics Assessment Project

Representing Quadratic Functions Graphically

For Teachers 9th - 12th Standards
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Worksheet
Curated OER

Solving Quadratics

For Students 11th
In this algebra worksheet, 11th graders solve quadratic equations and simplify radicals in to their simplest form using a radical sign. They complete the square and factor equations. There are 13 questions on this worksheet.
Worksheet
Curated OER

Solving Quadratics

For Students 9th - 11th
In this algebra worksheet, students solve quadratics using the quadratic formula and completing the square. There are 13 questions on this test.
Lesson Plan
Curated OER

Extraneous Solutions

For Teachers 9th - 12th Standards
Young scholars 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.
Worksheet
Curated OER

Word Problems

For Students 10th - 11th
In 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.
Worksheet
Curated OER

Properties of Real Numbers

For Students 11th
For this algebra worksheet, 11th graders perform operations with real numbers. They simplify roots and rationalize the denominators by factoring. They calculate the absolute values of the roots. There are 11 questions.
Lesson Plan
Curated OER

Approximate Solution to an Equation

For Teachers 8th - 10th
Students solve equations through trial and error. In this algebra lesson, students first estimate their answers and then calculate it to check their work. They solve problems involving roots and integers.
Lesson Plan
Curated OER

Strong Arm Iteration

For Teachers 7th - 9th
Students solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.
Worksheet
Curated OER

The Quadratic Formula

For Students 11th
In this Algebra II worksheet, 11th graders use the quadratic formula to solve quadratic equations and examine the discriminate to determine the number and type of roots a quadratic equation will have.  The two page worksheet...
Worksheet
Curated OER

The Babylonian Algorithm, Limits and Rates of Change

For Students Higher Ed
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
Worksheet
Curated OER

Numerical Analysis: Successive Intervals

For Students Higher Ed
In this successive interval worksheet, students find the approximation of a root, using the Bisection Algorithm. They identify intervals, and use algebraic manipulation to identify functions that have a fixed point.

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