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Illustrative Mathematics
US Garbage, Version 1
An interesting example of a discrete function and how it is applies to the real world. This could easily make a good collaborative lesson with an environmental science class. Practice reading a table and drawing a scatter plot make up...
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
Mixing Candies
Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...
Curated OER
Solving Systems Using Substitution
Write a math story for a series of problems using given variables. The class writes stories, showing understanding of strategies in compound sentences. They then solve the equations.
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...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...
Curated OER
Solving Equations by Factoring
In this algebra activity, learners use the Zero Product Property to solve polynomial equations by factoring. Application problems are included. The one page interactive activity contains fifty-four problems. The...
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
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.
Willow Tree
Weighted Averages
Mixtures, weighted percentages, and varying speeds make problem solving difficult. The resource give learners a strategy for tackling these types of problems effectively.
Curated OER
What's the Frequency, Roy G. Biv?
Introduce starting space scientists to the electromagnetic spectrum, expecially the portion of visible light. Teach them about wavelength and frequesncy. Then give them a roll of adding machine tape and a manila folder to make a...
Curated OER
Color at Light Speed
Rainbow science anyone? learners put the color specturm, frequency, light waves, and wavelengths into a light speed context. They use algebraic formulas to determine the speed of each light wave length. A great way to connect math and...
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.
EngageNY
Part of a Whole as a Percent
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
Curated OER
Discovering Pi
Define terminology related to a circle. Practice accuracy in measuring and then create a spreadsheet based on data collected from solving for parts of a circle. Groups can have fun analyzing their data as it relates to Pi.
Radford University
A Change in the Weather
Explore the power of mathematics through this two-week statistics unit. Pupils learn about several climate-related issues and complete surveys that communicate their perceptions. They graph both univariate and bivariate data and use...
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...
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
Review for the Algebra One SOLs
Students review the standards for Algebra I. Using the text, they discover two problems that match each standard and solve them showing all steps on paper. They create a PowerPoint slide for each problem and go through the correct...
Pennsylvania Department of Education
Expressions Involving Variables
Sixth graders practice translating verbal expressions into algebraic expressions. In this introductory algebra lesson, 6th graders practice writing written/verbal sentences into algebraic expressions and vice versa. Students also review...
Curated OER
Solving Systems of Equations by graphing for Algebra One
Students watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...
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
Algebra, Multiplication, and Division of Fractions
Students gain knowledge by measuring time and distance for solving unknowns in an equation. They also will design an airplane and chance to communicate mathematically by writing essays.
Curated OER
Pepe Cleaners
Seventh graders gather data to determine the relationships between the base and height of rectangles with fixed perimeters and express the relationships using words and symbols. Students build rectangles with pipe cleaners. They create...