Curated OER
Equations of Graphs
In this equations of graphs worksheet, 9th graders solve and graph 10 different problems that include various types of graphs. First, they determine the equation for each graph shown at the top of the sheet. Then, students determine on...
Curated OER
Writing Expressions and Equations
Students write algebraic expressions and equations. For this expressions and equations lesson, students problem solve creative scenarios created by the instructor.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
EngageNY
Bacteria and Exponential Growth
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
EngageNY
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
Curated OER
Completing the Square
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
Curated OER
Exploring Expressions
Examine parts of an expression in this algebra lesson plan. 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
Residential Power System
Perform data analysis on energy consumption to apply algebraic expressions to the real world. Learners will write and solve equations that answer various questions from residential power use. They will collect data at home and calculate...
EngageNY
Transformations of the Quadratic Parent Function
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
Curated OER
Simple Inequalities
Students solve inequalities. For this inequalities lesson, students evaluate simple inequalities. They examine vocabulary words. Students participate in breath holding activities and write inequalities to represent the activity. In...
Curated OER
Going Back to Your Roots
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
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.
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Curated OER
Find A System
Learners must think critically about the graphical and algebraic forms of a system of linear equations in order to come up with their own system when given a point that is the solution to the system.
Curated OER
Solving Systems Using Matrices
Explore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...
Curated OER
Braking Distance
This real-life model of braking distance motivates learners to approach quadratic equations algebraically, numerically, graphically, and descriptively.
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 instructional activity, students 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 Programming
In this algebra instructional activity, 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...
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