Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
Activity
101 Questions

Blocks

For Students 9th - 12th Standards
Block play can teach children about gravity, physics, and spatial relationships. A hands-on lesson incorporates these concepts with an activity in which learners examine the relationship between levels in a pile. Scholars begin to...
Assessment
Concord Consortium

Systematic Solution I

For Students 10th - 12th Standards
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
Worksheet
Curated OER

Graphs of Polynomial Functions

For Students 9th
In this polynomial functions worksheet, 9th graders solve and complete 11 different problems. First, they write the given quadratic equations in vertex form. Then, students state the x- and y-coordinate for each polynomial function.
Lesson Plan
Curated OER

Quadratics: vertex form

For Teachers 2nd - 5th
Learners practice graphing quadratic equations to find the vertex of quadratic functions. They determine if the graph opens upward or downward as well as convert quadratic equations to vertex form from polynomial form. A lab version is...
Lesson Plan
Curated OER

Quadratic Functions

For Teachers 8th - 9th
Students graph quadratic equations on paper and check their results on the graphing calculator. They predict the direction of the graph and the vertex point. Students use the vertex, axis of symmetry and knowledge of which direction the...
Worksheet
Curated OER

Calculus 30: Domain and Range

For Students 11th - 12th
In this domain and range worksheet, learners find the domain and range of 23 equations. Students find the domain and range from a graph and determine a graph given the domain and range.
Worksheet
Curated OER

Factoring Polynomials

For Students 9th
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
Lesson Plan
Curated OER

Piecewise Modeling with Multiple Functions: Federal Debt

For Teachers 9th - 12th
High schoolers analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts...
Lesson Plan
Curated OER

Factoring

For Teachers 9th - 12th Standards
High Schoolers engage in a study of quadratic functions and focus upon the finding of equivalence and its connection between functions. They also practice factoring using the FOIL method while manipulating the equation. The lesson also...
Activity
Illustrative Mathematics

Zeroes and factorization of a non polynomial function

For Teachers 10th - 12th Standards
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
Lesson Plan
Curated OER

Elementary Algebra Study Guide

For Teachers 8th - 11th
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Lesson Plan
Curated OER

Reflections of a Quadratic Function

For Teachers 10th - 12th
Students compare transformations of a quadratic function on a graph and determine equations of a quadratic functions based on a reflection. They graph a transformation of a function based on reflections. They etermine if a function is...
Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 1)

For Teachers 9th - 10th Standards
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...
Lesson Plan
Curated OER

Stretching the Quads

For Teachers 9th - 12th Standards
Scholars investigate transforming parabolas.  In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...
Interactive
GeoGebra

GeoGebra Graphing Calculator

For Students 9th - Higher Ed Standards
So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.
Lesson Plan
Curated OER

Quadratic Modeling Of Canada's Baby Boom

For Teachers 9th - 12th
High schoolers model quadratic equations. In this algebra lesson, students are given data to graph using a function. They investigate vertex and transformation of quadratic functions.  
Lesson Plan
Curated OER

Modeling With Quadratics

For Teachers 11th - 12th
Students investigate quadratics through word problems. In this algebra lesson, students models the number of registered males in apprenticeship programs. They investigate the transformation of quadratic function on a coordinate plane.
Lesson Plan
Curated OER

Exploring Quadratic Graphs

For Teachers 7th - 10th
Young scholars solve quadratic equations using graphs. In this algebra lesson plan, students factor quadratic equations and graph their answer. They discuss the shape of their graph based on the function.
Performance
Radford University

“FUN-ctions” Find the Equation of a Scream

For Teachers 9th - 12th Standards
Take a function along for a ride. Given the graph of a roller coaster track, pupils determine key features of the graph such as the maximum, minimum, intervals of increase and decrease, and roots. They figure out the equation of the...
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 12th
Students investigate parabolas and their equations.  In this parabolas and their equations lesson plan, students graph quadratic equations on their graphing calculator.  Students find the axis of symmetry of a parabola. ...
Lesson Plan
Curated OER

Curve Ball

For Teachers 6th - 9th Standards
Learners explore the concept of parabolas by collecting quadratic data on a bouncing ball as it is falling using a motion detector. They plot the data and determine the equation of the quadratic in vertex form, then determine the values...
Lesson Plan
Curated OER

Kitchen Paraboloids

For Teachers 9th - 12th
Young scholars solve quadratic equations and identify functions. In this algebra lesson plan, students graph parabolas and identify properties describing the shape of the parabola. They find the vertex and rewrite the equation in...
Lesson Plan
Curated OER

Complex Roots: A Graphical Solution

For Teachers 9th - 12th Standards
Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Students determine the the axis of symmetry and the...

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