Curated OER
The Discriminant
In this discriminant worksheet, students use the discriminant to determine the number of roots a polynomial contains. Explanations and examples are provided prior to the exercise. This two-page worksheet contains ten problems.
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
Curated OER
Multiply Polynomials
Students solve polynomial problems. In this algebra lesson, students multiply polynomial equations using FOIL and quadratic formula. They complete the square and factor by grouping.
Curated OER
Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for specific values of c. The...
Mathematics Assessment Project
College and Career Readiness Mathematics Test C1
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
Curated OER
Effects of Parameter Changes
Young scholars define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Curated OER
Exploring Geometric Constructions of Parabolas
Students are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...
NASA
Lights on the International Space Station
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to solve problems...
Curated OER
Roman Bernardo: Solving Linear Equations
Mathematicians use an inquiry method to solve linear equations. In this linear equations instructional activity, students practice solving equations using addition, subtraction, multiplication and division. They solve multi-step...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Curated OER
Dental Impressions
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Curated OER
Ict Activity 22
Young scholars use Excel to solve quadratic equations by trial and improvement. They enter formulas and try different solutions to improve their solutions more quickly. Afterwards, they report the solutions to different levels of accuracy.
Curated OER
Sum and Product of Roots 6-5
In this quadratic equation instructional activity, students list the general quadratic equation form, formula for sum of roots, and formula for product of roots. The then learn how to write a quadratic equation given its 2 roots....
Curated OER
Solving Equations by Factoring
In this solving equations by factoring learning exercise, students solve and complete 10 different problems. First, they solve each equation using the Zero product property. Then, students define a variable and use an equation to solve...
Curated OER
Linear Equations
In this linear equations worksheet, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of the line to...
Curated OER
Applications of Parabolas
In this algebra worksheet, 11th graders rewrite word problems using algebraic symbols. They relate parabolas to the real world and calculate the breaking distance using the distance formula they come up with. There is answer key.
Curated OER
Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Curated OER
Slope & Rate of Change
This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....
Curated OER
Chapter 4 Review Worksheet: Polynomial
In this polynomial worksheet, students write polynomial equations, determine the discriminant of equations, and find zeros of functions. This two-page worksheet contains 16 problems.
Curated OER
Star Light...Star Bright
In this brightness of stars worksheet, students use a given formula using the temperature in Kelvins of a star to find its brightness. Students solve 4 problems using this equation.