Worksheet
Curated OER

Graphs and Equations

For Students 10th - 12th
In this graphs and equations worksheet, students solve and complete 5 various types of problems. First, they complete a table of values for a given quadratic function. Then, students use the graph to find an estimate for the solutions of...
Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
Assessment
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Target E

For Students 9th - 12th Standards
Pupils rewrite expressions in equivalent forms to identify key features. They use the vertex and factored forms of quadratic expressions to identify the extrema and intercepts. To finish the installment of the Claim 1 Item Slide Show...
Lesson Plan
EngageNY

Linear Systems in Three Variables

For Students 10th - 12th Standards
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Assessment
1
1
Balanced Assessment

Transformation II

For Students 9th - 12th Standards
Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.
Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Students 9th - 12th Standards
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
Lesson Plan
Curated OER

Quadratics: vertex form

For Teachers 2nd - 5th
Students 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...
Lesson Plan
Curated OER

Piecewise Modeling with Multiple Functions: Federal Debt

For Teachers 9th - 12th
Young scholars 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

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

Completing the Square (part 1)

For Students 9th - 10th Standards
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...
Lesson Plan
Bowland

Torbury Festival

For Teachers 6th - 9th
Have you been to Torbury Fair? In the set of four lessons, learners solve a myriad of problems related to a music festival, including situations involving floods, market stalls, cows, and emergency plans. 
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
Students solve quadratic equations using graphs. In this algebra lesson, students factor quadratic equations and graph their answer. They discuss the shape of their graph based on the function.
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 12th
High schoolers investigate parabolas and their equations.  In this parabolas and their equations lesson, students graph quadratic equations on their graphing calculator.  High schoolers find the axis of symmetry of a...
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

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...
Lesson Plan
Curated OER

Representing Quadratics

For Teachers 8th - 11th
Students represent quadratic equations using different methods. In this algebra instructional activity, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
Lesson Plan
Curated OER

Quadratic Rules and Graphs

For Teachers 9th - 11th
Learners identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.