Curated OER
Math Sheet #2
In this math worksheet, students solve given formulas for a specified variable. Formulas include fractions and exponents. There are eight formulas on this one-page worksheet.
Curated OER
The Discriminant
For this discriminant worksheet, 9th graders solve 10 different problems related to determining the discriminant in each equation. First, they find the nature of roots in quadratic equations. Then, students determine whether each of the...
Curated OER
Academic Algebra II 1st Semester Exam
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse of a...
CK-12 Foundation
Discriminant
Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...
Balanced Assessment
Number Game
It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...
101 Questions
Falling Glowsticks
How can you determine the height of a drop off a cliff if you have nothing to measure it with? A movie clip sets up a sky-high challenge and solves it with a falling glow stick. Scholars must take the given information and decide how...
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.
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...
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Balanced Assessment
Two Solutions
An assessment presents a variety of equations and inequalities. Pupils must find two solutions for each equation or inequality and determine whether there are only two, another finite number, or an infinite number of solutions for the...
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.
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
Illustrative Mathematics
Coins in a Circular Pattern
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
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
Sequences
In this sequences learning exercise, students find the limit of a sequence. They explore Ulam's sequence. Students calculate differences for terms in a quadratic sequence. this four-page learning exercise contains approximately 20...
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
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...
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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.
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