Curated OER
Easy Worksheet: Pascal's Triangle
In this Pascal's Triangle learning exercise, high schoolers solve 4 short answer problems. Students shade multiples of a given number on Pascal's Triangle. High schoolers shade rows of Pascal's Triangle using mod eight and mod three.
PBL Pathways
Cell Phones
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
Mathematics Assessment Project
Middle School Mathematics Test 5
A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.
Curated OER
Perfect Squares and Factoring
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.
Curated OER
Algebra II Chapter 10 Test
In this algebra activity, students solve divisions problems using long division and synthetic division. There are 14 questions and an extra credit problem.
Curated OER
Fundamental Theorem of Algebra
In this instructional activity, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.
Illustrative Mathematics
Combined Fuel Efficiency
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
Virginia Department of Education
Exponents and Radicals
What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Curated OER
Scientific Notation
In this scientific notation worksheet, students examine examples of numbers that are expressed in scientific notation. They look at problems that include either multiplication or division. There are no problems associated with this...
Curated OER
Interesting Properties of Cubic Functions to Discover Graphically or Numerically
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function. They...
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
Worksheet 8, Exponents
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...
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.
Curated OER
Rational Expressions
Young scholars simplify rational expressions. In this algebra instructional activity, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
Curated OER
Solving Algebraic Expressions
Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
Curated OER
The Rational Root Theorem
In this algebra instructional activity, 11th graders find the rational roots of an equation, by setting it to zero and solving for x. They can also use synthetic division and p/q to help find and eliminate rational root values. There are...
Curated OER
Worksheet Chapter 5 College Prep Algebra
In this algebra worksheet, students evaluate algebraic expressions, simplify exponents, write numbers in scientific notation, perform division of equations, and find the area of given problems. This worksheet contains 75 problems and an...
Curated OER
Algebraic Expressions & Equations
In this algebraic expressions and equations worksheet, 9th graders solve 12 various types of problems ranging from writing expressions for each written equation to solving 8 different word problems related to cost, speed, age, and...
Curated OER
Optional Power Series Problems
In this power series worksheet, students use substitution, polynomial multiplication, polynomial division, differentiation, and integration to find numbers in a series. They write each Maclaurin series as a simple function. This one-page...
Curated OER
The Case of the Missing Middle Term
Young scholars examine the difference of squares equation, and multiply binomials using the FOIL method. They complete the Case of the Missing Middle Term worksheet.
Mt. San Antonio Collage
Graphs of Rational Functions
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question.
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
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