Lesson Plan
Illustrative Mathematics

Placing a Square Root on the Number Line

For Teachers 7th - 9th Standards
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Worksheet
Curated OER

Complex Roots Made Visible

For Students 11th
For this algebra worksheet, 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.
Lesson Plan
Illustrative Mathematics

Estimating Square Roots

For Teachers 7th - 9th Standards
No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...
Lesson Plan
Curated OER

Solving Various Algebraic Equations for Real and Imaginary Roots

For Teachers 10th - 12th
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Worksheet
Curated OER

Polynomials

For Students 9th - 11th
In this polynomials worksheet, students solve and complete 16 different types of problems. First, they solve each of the fractional expressions shown. Then, students factor each polynomial and find their roots. In addition, they write an...
Worksheet
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Key Curriculum Press

Applications of Exponential Functions

For Students 10th - 12th Standards
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This...
Worksheet
Curated OER

Radicals

For Students 9th
In this radicals worksheet, 9th graders identify and solve 21 different problems that include various simple radical forms. First, they determine if there is a radical in the denominator. Then, students rationalize the denominator by...
Worksheet
Curated OER

Solving Quadratic Equations

For Students 9th
In this quadratic equations worksheet, 9th graders solve and complete 7 different problems that include factoring quadratics. First, they solve for the values of x that make the equation true. Then, students substitute their values into...
Worksheet
Curated OER

Numerical Analysis

For Students 11th - Higher Ed
In this math worksheet, students use fzero to find the roots of the non-linear functions. They also practice finding the root of the polynomial functions.
Worksheet
Curated OER

Theorems About Roots and Polynomial Equations

For Students 8th - 11th
In this algebra activity, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
Worksheet
Curated OER

Numerical Analysis: Worksheet 12: Comparing Root-Finding Methods

For Students Higher Ed
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.
Activity
Illustrative Mathematics

Throwing Baseballs

For Teachers 8th - 12th Standards
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
Lesson Plan
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Curated OER

Building a General Quadratic Function

For Teachers 9th - 12th Standards
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
Activity
Illustrative Mathematics

Checking a calculation of a decimal exponent

For Teachers 9th - 12th Standards
In a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...
Lesson Plan
Illustrative Mathematics

Regular Tessellations of the Plane

For Teachers 9th - 11th Standards
Bringing together the young artists and the young organizers in your class, this lesson takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack the...
Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Lesson Plan
Curated OER

Mystery Math

For Teachers 6th - 8th
Here is an interesting "trick" your young mathematicians can perform. They are taught how to find any number's "digital root," by following a set of detailed instructions. The process works for any number, and is the type of math puzzle...
Worksheet
Curated OER

Absolute Value

For Students 11th - 12th
For this absolute value worksheet, students solve 10 different equations that include solving absolute values. First, they determine whether their equation is expressed in the a+bi form. Then, students select the coefficients for a and...
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...
Worksheet
Curated OER

Math Leagues Contest 1

For Students 8th
In this basic algebra worksheet, 8th graders solve and complete 6 different types of algebra problems as described in each box. First, they determine the value of a set of numbers with one pair of positive integers. Then, students...
Worksheet
Curated OER

Radical Expressions

For Students 9th
In this radical expressions instructional activity, 9th graders solve and complete 15 different problems. First, they isolate the radical expression involving the variable. Then, students raise both sides of the equation to the index of...
Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 7

For Students 6th - 9th Standards
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Lesson Plan
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Curated OER

Distance Formula

For Teachers 7th - 9th
Students determine the distance between two points.  In this distance formula lesson, groups of students determine the distance between points in real life situations.  They calculate the distance from one point in the...