EngageNY
Graphs of Piecewise Linear Functions
Everybody loves video day! Grab your class's attention with this well-designed and engaging resource about graphing. The video introduces a scenario that will be graphed with a piecewise function, then makes a connection to domain...
West Contra Costa Unified School District
Work Problems – Bar Models
Why do we have to do so much work? Scholars learn how to set up bar models to represent a situation involving work. They use these bar models to help set up equations with rational coefficients to solve the problem situation.
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Curated OER
Polynomials
In this worksheet, learners solve and complete 32 various types of problems. Included are problems on simplifying polynomials, factoring, graphing equations by plotting points, and simplifying expressions using the rules of...
Curated OER
Linear Inequalities
Through exploration of linear programming through graphs and equations of inequalities, students relate linear programming to real life scenarios, such as business. Graphing and shading is also part of this exercise.
Curated OER
Linear Programming
In this algebra worksheet, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.
Kuta Software
Work Word Problems
In this word problem worksheet, algebra students solve classic work problems. They find work rates, time to complete a task with a partner, or time to complete task alone. Twelve word problems are included in this worksheet. An answer...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
Curated OER
Do Two Points Always Determine an Exponential Function?
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
West Contra Costa Unified School District
Graphing Systems
Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Curated OER
Pairs of Whole Numbers
Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.
Curated OER
Fibonacci II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
Curated OER
Distributive Property
In this distributive property learning exercise, students solve and complete 22 different equations that include applying the distributive property to each one. First, they simplify each expression listed by applying the distributive...
Curated OER
Podcasting Parabolas
Learners explore parabolas. In this algebra and technology instructional activity, students construct the equation of a specific parabola, then take digital photos of real-life representations of these parabolas. Learners...
Illustrative Mathematics
Dimes and Quarters
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Curated OER
The "U's" Have IT!
Young scholars explore the maximum and minimum values of parabola. In this exponential equations lesson, students use graphing calculators or TI Interactive Software to calculate values of parabola and graph x-intercepts of parabola.
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Curated OER
Substitution "Plugging In"
The old plug and chug method will help the class investigate functional notation. They explore the meaning of functional notation, f(x), and determine the functional value of given values. The lesson includes two application problems and...
Illustrative Mathematics
Buying a Car
Teenagers love to think about driving and buying their first car. The intent of this resource is to create an equation for the list price of a car and add the appropriate state tax. Once your teens understand the calculation, ask them to...
Kuta Software
Distance - Rate - Time Word Problems
In this word problem worksheet, algebra learners solve 10 distance problems. Problems include motion in different directions, the same direction, and round trips.
Curated OER
Inverse
Your class can learn all about inverse operations. They will review what inverse operations are, see examples, learn how to use inverse operation to check an answer, write addition and subtraction equations in the inverse, and use the...
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