Curated OER
Maximizing and Minimizing the Area of Rectangles Given a Fixed Perimeter
Students explore the realms of measurement. In this math lesson plan, students analyze and solve problems in which rectangles with identical perimeters are compared to maximize or minimize area. This lesson can be extended for algebra,...
Curated OER
Applications Using Rational Equations
Algebra learners explore the concept of writing equations using rational expressions. This work sheet contains a number of word problems including reciprocal number problems, work problems, and problems can that be solved using...
Curated OER
Radical Equations
This task gives geometry learners practice in solving radical equations in one variable and zeros in extraneous solutions.
Curated OER
Carbon 14 Dating
Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.
Curated OER
Skeleton Tower
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
Curated OER
Exponential Growth Versus Linear Growth I
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Fredonia State University of New York
Watch Your Step…You May Collide!
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their...
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
Linear and Quadratic Model, Data Modeling
Learners model quadratic and linear equations. In this algebra instructional activity, students solve word problems using equations. They create scatter plots and make predictions using correlations.
Curated OER
Chairs Around the Table
Youngsters become flexible problem solvers with this challenging lesson. If there are 24 square tables in a restaurant, how many customers can be seated at one time? They can use manipulatives or draw pictures to help them find the...
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...
Curated OER
Two Points Determine an Exponential Function II
Your algebra learners will build an exponential equation given a graph with two specific points labeled.
Curated OER
Exponential Functions
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
Mathematics Assessment Project
Building and Solving Linear Equations
Young scholars write and solve linear equations in one variable based on descriptions of the operations that are applied to the unknown variable in an algebra machine. They then create their own problems for classmates to solve.
EngageNY
Two-Step Problems—All Operations
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...
Curated OER
Maximize area
For this subscription-based activity, algebra learners model changes in the length and width of a rectangle to determine the maximum area possible for a given perimeter and solve several application problems involving area, included in...
Curated OER
Greatest Common Factor and Factoring by Grouping
In this Algebra II/college level worksheet, students factor polynomials by pulling out the GCF and by grouping. The two page worksheet contains seventy–two problems. Answers are provided.
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, students sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Curated OER
Math On the Job
Investigate different types of math required for specific jobs. In this math in occupations lesson, use the Internet to research what type of math one might need to know in order to be successful in different jobs. Complete a...
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...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Curated OER
Cantor Set
Discover an interesting mathematical object that your algebra learners will enjoy investigating. Their adventure will lead them to the generation of a finite geometric series.
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