Illustrative Mathematics
Writing Constraints
Use this resource to present your number crunchers with how to write a constraint equation and to determine viable solutions. The price of an object limits the amount that can be purchased. The speed at which you walk limits the number...
Hotchalk
Triangle Sum Theorem
Your visual geometry learners will appreciate triangle drawings as they model the triangle sum theorem and algebraically solve to find the missing interior angle in a triangle. Practice problems increase in complexity and vary in their...
Curated OER
Properties of Logarithms
In this algebra worksheet, 11th graders solve logarithmic problems using the properties of logs. They condense and expand logs using the correct properties. There are 78 problems with an answer key.
Curated OER
Solving Equations by Factoring
In this algebra worksheet, learners use the Zero Product Property to solve polynomial equations by factoring. Application problems are included. The one page interactive worksheet contains fifty-four problems. The...
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.
EngageNY
Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...
Inside Mathematics
Vencent's Graphs
I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...
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...
Curated OER
Throwing a Ball
Learners translate numbers, from real life scenarios of throwing a ball vertically upward, into a given formula so the remaining variable is the solution.
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Mathematics Assessment Project
Middle School Mathematics Test 5
A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.
5280 Math
Aquarium Equations
Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Curated OER
The Shortest Distance
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
Curated OER
Quadratic Equations
In this Algebra I/Algebra II worksheet, students investigate the various methods that can be used to solve quadratic equations. The one page interactive worksheet contains instruction, worked examples and five practice...
Curated OER
Patterns
In this college level algebra worksheet, students examine patterns, formulas that describe the pattern and determine the sum of an infinite pattern. The one page worksheet contains five questions. Answers...
Pennsylvania Department of Education
Expressions Involving Variables
Sixth graders practice translating verbal expressions into algebraic expressions. In this introductory algebra instructional activity, 6th graders practice writing written/verbal sentences into algebraic expressions and vice versa....
Curated OER
Solving Quadratic Equations
For this Algebra II worksheet, 11th graders use the quadratic formula to solve quadratic equations. The six page worksheet contains instruction on topic, worked examples and five practice problems. Answers are not...
Curated OER
Experiment-Using Formulas and Spreadsheets
In this Algebra I worksheet, 9th graders track information relating to a sporting event and create a spreadsheet and appropriate formulas used to track data. The one page worksheet contains the assignment and...
Curated OER
How Old Did You Say?
Second graders explore and develop algebraic formulas based on their own ages as the known variable. This is a clever, and simple, way to introduce the concept of algebra to young students.
Curated OER
New York State Testing Program Mathematics Test Book 3
In this eighth grade worksheet, 8th graders assess their knowledge of the major topics of algebra and geometry covered in eighth grade. The lesson contains twelve questions and a mathematics reference sheet.
Curated OER
"Comprehension of Word Problems" Using a Table
Sixth graders practice solving math problems by utilizing a data table. In this number sense lesson, 6th graders create a table using the numerical information about a fictitious farm's inventory. Students complete the empty segments by...
Curated OER
Algebra/Geometry Institute Summer 2009 - Triangles and the Pythagorean Theorem
Seventh graders find the perimeter and area of triangles. In this finding the perimeter and area of triangles lesson plan, 7th graders find the perimeter and area of triangles given two sides. Students find the missing side...
Curated OER
Algebra II - Lesson 10-3: Circles
For this equations of circles worksheet, students solve 4 short answer problems. Students find an equation of a circle given the center and radius.