Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Curated OER
Slopes of Lines
Learners examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the...
Curated OER
Linear Programming
For this algebra worksheet, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.
Radford University
Got Slope?
Go around and around with slope. The class investigates tornadoes by watching videos, building a homemade tornado, and performing research on the Storm Prediction Center website. Groups gather data and create scatter plots for twisters...
Teach Engineering
Can You Resist This?
Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear functions with...
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
Applying Linear Functions
In this algebra worksheet, learners rewrite word problems using algebra and relate linear functions to real life scenarios. There are 2 questions with an answer key.
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a scatter...
Curated OER
Exploring Equations and Y-Intercept
Students graph linear equations using intercepts, find y-intercept, find x-intercepts and graph linear equations that use horizontal and vertical lines.
Curated OER
Algebraic Equations
In this algebraic equations worksheet, 9th graders solve 10 different problems that include solving various types of algebraic equations. First, they determine the equation of a line and solve the absolute value of an inequality shown....
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,...
Curated OER
Scatterplots and Regressions
In this scatterplots and regressions activity, students solve 6 different types of problems related to graphing scatterplots and interpreting regressions. First, they create a scatterplot from the given data coordinates and then,...
Alabama Learning Exchange
I'm Lovin' It: Finding Area Between Curves
Students explore the concept of finding the area between two curves. In this finding the area between two curves instructional activity, students model the logos of McDonalds, Nike, and Motorola on grid paper. Students find functions to...
Curated OER
Integrated Algebra Final Exam
In this integrated algebra worksheet, students solve problems involving system of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
Curated OER
Piecewise Modeling with Multiple Functions: Federal Debt
Students analyze data on debt and write an equation. In this statistics instructional activity, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned...
Curated OER
Analyzing Birds and Planes
Students find a variety of topics and subjects in this lesson. In the math section of this lesson, students graph linear equations and analyze their data. They solve one and two step equations to find the variable.
Teach Engineering
The Challenge Question
A research position becomes a modeling job. The introductory lesson in a series of nine presents the challenge of analyzing a set of bivariate data. The class brainstorms what the data may represent. Pupils must decide what is needed to...
Curated OER
Graphing Inequalities and Shading
Students graph and shade inequalities. In this algebra lesson, students graph inequalities using the slope-intercept form. They shade the side of the line that is the solution and identify the domain and range.
Curated OER
Beginning Modeling for Linear and Quadratic Data
Young scholars create models to represent both linear and quadratic equations. For this algebra lesson, students collect data from the real world and analyze it. They graph and differentiate between the two types.
Curated OER
Very Varied - Inverse variation
Students identify inverse variations. In this inverse variation lesson, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the inverse variation...
Curated OER
A Functional Housing Market
Young scholars access the Internet to search for housing prices in Houston, Texas,(the location can be changed to accommodate any location) and compare the prices to the number of square feet found in the living area of a house.
Curated OER
Functions and Slopes
In this function worksheet, students find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Curated OER
Slope
Students calculate the slope of a line. In this slope lesson, students use a graph, an equation or two points to help them calculate the slope of a line. They differentiate between a slope of zero and an undefined slope.