Curated OER
"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
Curated OER
Conic Sections
In this Algebra II worksheet, 11th graders solve problems involving ellipses, parabolas, circles, and hyperbolas. The one page worksheet contains nineteen problems. Answers are included.
Curated OER
Algebra Nomograph
Investigation of a nomograph teaches students to determine the rule of a function by examining the input and output values. Students use a nomograph on their Ti-Nspire to determine the function rule. Students make a scatter...
Curated OER
Polynomials: Factors, Roots and Zeroes
Young scholars factor polynomial equations. In this algebra lesson, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.
Curated OER
Lesson Plan 1: Up, Down, Right, Left - Function Families
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
Curated OER
Connecting Factors and Zeros
For this Algebra II lesson, students explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.
Curated OER
Factoring Quadratic Expressions
In this Algebra II learning exercise, 11th graders factor quadratic expressions. The two page learning exercise contains explanation of topic, worked examples, and three practice problems. Answers are not included.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
Curated OER
Completing the Square #3
In this Algebra II worksheet students solve quadratic equations by completing the square. The one page worksheet contains ten problems. Solutions are not provided.
Curated OER
Don't Let Parabolas Throw You
Students identify relation, function, patterns and range. In this algebra lesson, students factor and graph quadratic equations. They use transformation to move the parabola around and make predictions.
Curated OER
Find Minimum and Maximum
Learners engage in a activity about finding the values of different graphs written in the vertex form. They rewrite each quadratic equation in vertex form while graphing the equation with the visual display of a parabola that matches the...
Curated OER
Polynomial Functions
In this Algebra II activity, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page activity provides explanation and examples along with thirteen practice problems....
Curated OER
Polynomial Functions
Students explore polynomial functions. In this Algebra II activity, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic. Students determine the regression equation...
Curated OER
Vertical and Horizontal Translations
Students analyze function graphs. For this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the...
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...
Curated OER
Imaginary and complex Numbers
For this Algebra II worksheet, 11th graders simplify expression involving imaginary and complex numbers and determine the quadratic equation that would have the given complex roots. The on page worksheet contains thirty-four...
Curated OER
Strike a Pose: Modeling in the Real World (There's Nothing to It!)
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
Curated OER
Diophantus II
Students use an ancient math game to establish the context for solving problems by investigating them in a systematic and mathematical way. They also need to have the ability to solve various types of equations.
Curated OER
Mathematics B: High School Exam
In this mathematics activity, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This activity contains, but is not limited to, radicals, inverse functions, transformations, and...
Curated OER
Discriminant Testing
The class works to identify solutions using the discriminant.They use part of the quadratic formula to find the number of solutions a quadratic equation will have. They calculate how-many times the quadratic function will cut the x-axis....