Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Curated OER
Complex Fractions
In this complex fractions worksheet, students simplify given expressions. This four-page worksheet contains 14 multi-step problems. Answers are provided on the last page.
Curated OER
Algebraic Fractions
In this algebra worksheet, students factor the numerator and denominator of 20 complex fraction to determine common terms. The first six problems require students to simplify. The final 14 problems require either multiplication or...
Curated OER
Complex Fractions
In this complex fractions worksheet, 9th graders solve 10 different problems that include simplifying various complex fractions. First, they create one single fraction in the numerator and then in the denominator. Then, students rewrite...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
California Education Partners
Cady's Cats
How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...
Inside Mathematics
Patterns in Prague
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
Illustrative Mathematics
Animal Populations
Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than that example, and they do a good...
Curated OER
Solving Rational Equations
Algebra learners solve various rational equations. These start out fairly basic and get a little more complex.
Curated OER
Exponents - Week 1
In this exponent worksheet, students add, subtract, multiply and divide exponents. They solve problems containing negative exponents, fractional exponents, and polynomials. This two-page worksheet contains eight problems.
Lone Star College
Geometry Worksheet II
Young geometers get practice with the algebra of angles in an extensive skills practice worksheet. Supplementary, complementary, and vertical angle relationships are used, along with parallel lines cut by a transversal and angle sum of a...
Mathematics Assessment Project
Table Tiling
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Illustrative Mathematics
Radius of a Cylinder
Here is a multiple choice question that would make a good assessment question. Algebra learners are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the cylinder...
Curated OER
Adding and Subtracting Rational Expressions
For this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
Curated OER
Complex Analysis: Linear Fractional Transformations
In this transformation worksheet, students explore linear transformations and mappings. They map equations on a coordinate plane. This two-page worksheet contains approximately three problems.
Curated OER
Dividing Radical Expressions
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
Curated OER
Credit Cards and Compound Interests-Exponential Growth
Eleventh graders investigate the way credit cards work when collecting interest. In this algebra instructional activity, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the...
Curated OER
Living on the Edge
Students calculate the volume of polyhedrons. In this algebra lesson, students are asked to solve a complex problem. They identify the length of the edges and the volume of the shape.
Curated OER
Number and Algebra: Again and Again
Students use a given spreadsheet to investigate an iterative process by changing the variables. They design their own spreadsheet to investigate the iterative process.
Curated OER
Tax, Tip and Discount Word Problems
Young scholars solve problems involving tax, tips and discounts. In this algebra lesson, students convert between percents and decimals. They calculate commission using conversion from percents and fractions.
Noyce Foundation
Mixing Paints
Let's paint the town equal parts yellow and violet, or simply brown. Pupils calculate the amount of blue and red paint needed to make six quarts of brown paint. Individuals then explain how they determined the percentage of the brown...
Noyce Foundation
Snail Pace
Slow and steady wins the race? In the assessment task, scholars calculate the rates at which different snails travel in order to find the fastest snail. Hopefully, your class will move much more quickly in finishing the task!