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Solving Equations Using Variables
Middle-schoolers solve linear equations with one single variable. They solve equations that are randomly generated using index cards. Half of an equation is written on each card and distributed to the class. which then attempts solve...
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Representation of Quadratic Functions
Students use a table, graph or equation to represent a quadratic function. In this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.
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Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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Play It
There are a number of activities here that look at representing data in different ways. One activity, has young data analysts conduct a class survey regarding a new radio station, summarize a data set, and use central tendencies to...
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Exploring Exponential Growth and Decay Functions
Students differentiate between exponential growth and decay. In this algebra instructional activity, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their...
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Videobusters
A real-world scenario, Videobusters, a video rental store has just got to get organized. In small groups, the class works on organizing and analyzing data utilizing matrices. They need to use their skills in adding, subtracting and...
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Do You Have a Blog?
Ask learners about their personal writing habits, such as whether they keep a journal or a blog, or if they'd ever want to. Though this is not a fully developed instructional activity, you can use this article and question to provoke...
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Critical Thinking Strategies
Teach your readers to be critical thinkers. A strategy is outlined that can be used to compare and contrast entities. An example lists four states. The learner removes one state that "does not belong" in the list for some reason, and...
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Matrix Operations
Here is a learning exercise to practice or review basic matrix operations of addition, subtraction, and scalar multiplication. First, define and discuss key vocabulary terms, then have individuals work five simple problems. There are...
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Multiplying Matrices
Go over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This worksheet includes directions on when and how to multiply matrices, one example, and a few problems your...
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Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
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Functions and Their Graphs
Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test. However, the problems are pretty...
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Rewriting Equations &Formulas
Practice with literal equations. Solve for one variable in terms of another. Find the value of y given specific values of x. This short worksheet would make a good warm-up activity at the beginning of class or a quick assessment at...
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Solving Linear Systems by Substitution
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...
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Writing Equations in Slope-Intercept Form
Use this worksheet to write equations in both point-slope form and slope-intercept form. Start by writing equations given one point and the slope and finish by writing equations given two points and a few real-world applications. The...
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Geometry: Parallel and Perpendicular Lines
This basic handout would be good for skills practice or a review of parallel and perpendicular lines. Review the definitions, then practice writing equations of lines that pass through a specific point and are either parallel or...
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Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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Solving Linear Equations
Use this worksheet for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
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Cash Box
Solving systems of equations with a twist! If you are looking for something out of the ordinary, then this is the problem for you. In this scenario, some money is found on the ground and you need to determine if it belongs in the cash...
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Solving Linear Systems by Graphing
A activity that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one with...
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Solving Linear Systems by Linear Combinations
This worksheet offers six problems to practice solving simultaneous equations using the method of elimination. Start with systems that require multiplying only one of the equations. Then move to systems which require multiplying both...
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Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
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Solving Absolute Value Inequalities
Start this activity with a brief description of how to solve absolute value inequalities. A space is provided to help classify the inequalities into types (greater than, less than, or equal to) and for learners to show how to graph their...
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Linear Inequalities in Two Variables
Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
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