EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
CK-12 Foundation
Families of Lines: Room in Perspective
Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common about all the...
The New York Times
Perspective and Leonardo’s “Perspectograph”
Filippo Brunelleschi's invention of linear perspective during the Renaissance was further developed by his apprentice, a young artist named Leonardo da Vinci. Now modern artists can give da Vinci's famous perspectograph a try with a...
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
CK-12 Foundation
Linear Pairs: Angles and Lines in a Perspective Drawing
Gain some perspective on linear pairs. Aspiring mathematicians adjust the vanishing point on a perspective drawing. They see the effect on linear pairs of angles and answer five challenge questions based on their observations.
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
West Contra Costa Unified School District
Solving Inequalities
What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Mathematics Assessment Project
College and Career Readiness Mathematics Test B1
Math was easier before it got mixed up with the alphabet. A 10-page test covers material from multiple years of high school math. Scholars demonstrate knowledge across domains with a mixture of short answer and applied problems.
Curated OER
Using Math to Draw the Mayflower
Third graders access information from a website about the Pilgrims trip on the Mayflower and discuss the number of people on the ship and the time they spent on the ship. They draw, label and measure the Mayflower to perspective.
Curated OER
Iterating Linear Functions
Learners use a spreadsheet to investigate data. In this algebra lesson, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.
Illustrative Mathematics
Riding by the Library
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
Hawaiʻi State Department of Education
Railroad Tracks
Ahhh the vanishing point! Sounds ominous, but it's not. Fifth graders analyze the use of perspective in Renaissance art. They practice using linear perspective to draw railroad tracks that seem to go on forever. Tip: Make this lesson as...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a instructional activity that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
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
Linear-Quadratic Inequalities
High schoolers graph linear and quadratic functions. In this algebra lesson, students create graph with specific coordinate points. They use the Ti to visualise and differentiate between the two functions.
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
Dimensional Space: Various Perspectives
Students use their understanding of 3D on 2D to make a representation of a 4D form on paper.
Curated OER
Atlatl Lesson Grades 4-12
Tenth graders explore the weapons of the Aboriginal people. In this tenth grade mathematics instructional activity, 10th graders investigate how throwing with an atlatl increase the speed of the dart as it is thrown. Students calculate...
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...
Kenan Fellows
Density
Most scholars associate density with floating, but how do scientists determine the exact density of an unknown liquid? The third lesson in a seven-part series challenges scholars to find the mass and volume of two unknown liquids. Each...