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Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Curated OER
Sandia Aerial Tram
Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.
Inside Mathematics
Coffee
There are many ways to correlate coffee to life, but in this case a worksheet looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and solving for...
101 Questions
Stacking Cups
Facilitate an understanding of equality using a modeling task. After watching different-sized cups being stacked, learners use their math skills to determine when the height of each cup tower will be the same. Meant as an introduction to...
Curated OER
Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...
Curated OER
Applying Properties to Variables
Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...
Curated OER
Analyzing Data Sets
For this analyzing data sets worksheet, 11th graders solve and complete 35 various types of problems that include the analysis of data given. First, they determine the equation that best describes the data shown in a table. Then,...
Curated OER
Parabolas
Students investigate parabolas and their equations. In this parabolas and their equations lesson plan, students graph quadratic equations on their graphing calculator. Students find the axis of symmetry of a parabola. ...
Curated OER
Properties of Logarithms
Students explore the concept of logarithms. In this logarithms activity, students discuss the logarithm properties. Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a...
Curated OER
Forces and Graphing
Students analyze graphs to determine relationships between variables and rates of change. They determine the basic concepts about static reaction forces. They determine the slope and equation of a line.
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Charleston School District
Review Unit 3: Functions
Time to show what you know about functions! The review concludes a series of nine lessons on the basics of functions. The problems included are modeled from the previous lessons. Pupils determine if a table represents a function,...
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...
Cornell University
Math Is Malleable?
Learn about polymers while playing with shrinky dinks. Young scholars create a shrinky dink design, bake it, and then record the area, volume, and thickness over time. They model the data using a graph and highlight the key features of...
Curated OER
Graphs
In this algebra activity, students solve linear equations through graphing and quadratic equations through factoring. There are 4 questions dealing with systems of equations.
Curated OER
Monopoly Graphs
Students relate the concepts of linear functions to the game of monopoly. In this algebra lesson, students solve problems with ratio and proportion. They collect data and graph it.
Curated OER
2 x 2 Linear Systems
Students graph 2x2 systems and solve them algebraically. They investigate parallel systems by solving equations.
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,...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Curated OER
Simple Harmonic Motion
Back and forth, and back again. A presentation on harmonic motion would make a great backdrop for a directed instruction lesson in Honors Physics. It includes diagrams, formulas, graphs, and a few sample problems.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Curated OER
Non Calculator Simultaneous Equations
Eighth and ninth graders combine pairs of linear equations by multiplying and either adding or subtracting. They find the value of x in the pair of equations. They use substitution to find the value of y. Students use graphing to solve...
Curated OER
Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Curated OER
Math Mediator Lesson 10: Slope
Students explore the concept of slope. In this Algebra I lesson, students investigate the definition of slope as rise over run or change in y compared to change in x. The lesson includes a real-world problem in which the...