Virginia Department of Education
Curve of Best Fit
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
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
Complex Roots: A Graphical Solution
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...
Curated OER
Multiplying Monomials
Students differentiate between linear and quadratic functions. For this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
Curated OER
How to Write A + B square without ( )
In this algebra learning exercise, students investigate the reason for factoring out a quadratic equation and rewrite it without parentheses. This sheet serves as a review guide for factoring quadratics.
Curated OER
Properties of Parabolas
Learn to identify the properties of parabolas. Learners define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
Curated OER
Parabolas
In this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.
Curated OER
Graphing and Properties of Parabolas
In this graphing learning exercise, students identify the vertex, axis of symmetry, and direction of the opening of a parabola. They graph given equations. This four-page learning exercise contains 18 problems. Answers...
EngageNY
Completing the Square (part 1)
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...
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
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
Displaying Postcards
Students solve a problem in a systematic and mathematical way. The use of an equation is applied to a word problem situation. It is necessary that students be familiar with different types of equations.
Curated OER
Human Coordinate Plane, Using the Distance Formula
Students write the distance formula to solve equations for finding the distance between 2 points. In this distance formula lesson plan, students also write sentences explaining why their formulas would work.
Curated OER
Graphing Parabolas
In this graphing parabolas learning exercise, 10th graders solve 10 different problems that include graphing various parabolas using the given information. First, they determine the equation of the axis of symmetry for a parabola with a...
Curated OER
Composition of Functions
High schoolers solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition,...
Curated OER
Factoring Trinomials
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.
Curated OER
Beanies
Fifth graders explore ratio problems. They study how to solve ratio problems using simple algebraic equations. Students use equations to represent practical situations and solve equations.
Kenan Fellows
Half-Life
Scholars shake their way to understanding half-life with the help of candy. They observe and record which side candy lands on to graph the exponential decay in the fifth activity of seven integrating chemistry and algebra. Combining...
Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
West Contra Costa Unified School District
Families of Functions Sort
Have some fun with functions with a short activity that asks learners to first sort scatter plot in terms of their correlation. They then sort graphs of different types of functions in terms of key features, such as slope.
Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
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.
EngageNY
Modeling a Context from a Verbal Description (part 2)
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...