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Illustrative Mathematics
Placing a Square Root on the Number Line
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...
Curated OER
Complex Roots Made Visible
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.
Illustrative Mathematics
Estimating Square Roots
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...
Curated OER
Solving Various Algebraic Equations for Real and Imaginary Roots
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...
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
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...
Curated OER
Polynomials
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...
Key Curriculum Press
Applications of Exponential Functions
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...
Curated OER
Radicals
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...
Curated OER
Solving Quadratic Equations
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...
Curated OER
Numerical Analysis
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.
Curated OER
Theorems About Roots and Polynomial Equations
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.
Curated OER
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.
Illustrative Mathematics
Throwing Baseballs
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...
Curated OER
Building a General Quadratic Function
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.
Illustrative Mathematics
Checking a calculation of a decimal exponent
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...
Illustrative Mathematics
Regular Tessellations of the Plane
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...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
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...
Curated OER
Mystery Math
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...
Curated OER
Absolute Value
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...
Illustrative Mathematics
Building a General Quadratic Function
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...
Curated OER
Math Leagues Contest 1
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...
Curated OER
Radical Expressions
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...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 7
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...
Curated OER
Distance Formula
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...