Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
Curated OER
End Behavior of Polynomial Functions
Students identify the end behavior of polynomial functions. In this algebra lesson, students graph different polynomials functions and find a correlation between exponents and function behavior. They identify the effect the leading...
Radford University
Is it Really a Small World After All?
Working in groups, learners research four countries' populations over the past 30 years. Using the data collected, the teams find regression equations that best fit the data. Taking the regression equations, they then make predictions...
New Mexico State University
Curse Reverse
Build towers with algebraic expressions. Pupils use algebraic expressions to build towers that allow their players to navigate a series of rooms. Learners evaluate expressions using different values for the variables to create a pathway...
Curated OER
Constructing and Solving Linear Equations
Students construct and solve linear equations. In this algebra lesson, students solve equations and graph lines using the slope. They identify the different parts of an equation including the leading coefficient.
Curated OER
Exploring Expressions
Examine parts of an expression in this algebra lesson. Ninth graders identify the properties of the coefficient and their behavior to the graph. They graph the equation on a TI to see their results.
Curated OER
Factoring Trinomials
Students factor trinomials and quadratics. In this algebra lesson, students solve quadratics when the leading coefficient is one. They use a special factoring pattern to solve the trinomial.
Curated OER
Theory of Polynomials
In this polynomial worksheet, students find all zeros of polynomials. They write polynomials as the product of linear fractions. This two-page worksheet contains 27 problems. The second page provides answers.
Curated OER
Adding and Subtracting Polynomials
Define, simplify, add, and subtract polynomials. Identify the degrees of a polynomial. Determine if a polynomial is a monomial, a binomial, or a trinomial. Then look at simplifying a polynomial by combining the coefficient values of like...
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
Curated OER
Division of Monomials
Students relate the division of monomials to multiplication. In this division of monomials instructional activity, students divide monomials by factoring and dividing common factors from the originals. They check their answers by...
EngageNY
Classification of Solutions
Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions for a...
Royal Society of Chemistry
Mass Changes in Chemical Reactions—Microscale Chemistry
What better way is there to introduce conservation of mass than a few simple experiments? Young chemists conduct two chemical reactions, take the masses of reactants and products, then compare their results to determine differences in...
Math Guy
Algebra 1 Practice Test
The worksheet is great but the answer key is fantastic! This practice test focuses on quadratics and polynomials. Learners are expected to be able to simplify and factor expressions and solve equations. The best part is the answer key...
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 square.
Curated OER
Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the solutions....
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
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
Graphing Polynomials of Higher Degree
Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...
Curated OER
Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
EngageNY
Graphing Quadratic Equations from the Vertex Form
Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. This lesson plan connects transformations to the vertex form of a quadratic equation.
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between...
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity...