Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
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...
101 Questions
Small Trebuchet
Travel back to medieval time where learning is just a stone's throw away! A video introduction shows a trebuchet (catapult-like machine) as it launches a rock into a lake. Learners use their quadratic modeling skills to predict the...
Project Maths
Introduction to Calculus
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...
College Board
Calculus at the Battle of Trafalgar
All's fair in math and war. Scholars examine the Battle of Trafalgar using calculus. They set up and solve a system of differential equations to determine the number of ships remaining in each fleet over time.
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
West Contra Costa Unified School District
Discovering Slope of a Line in Standard Form
From start to finish this skills practice resource provides a way for individuals to explore the standard form equation of a line. Begin with a warm-up, work through the problems, and then discover the relationship between the equation...
Concord Consortium
Cultural Growth
Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.
Virginia Department of Education
The Submarine
Submerge yourself in the study of slope. Scholars investigate a situation involving slope and the rate of change of a submarine. An additional example further explores the concept of slope by changing one of the conditions of the submarine.
Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Curated OER
In and Out Function Problems
Third graders solve In and Out function problems. They analyze a chart and discuss the steps to solving the functions, and discuss the patterns and complete the charts. Students then create a book of repeating patterns using magazines,...
Curated OER
Regents High School Examination: Mathematics B
In this algebra, graphing, and geometry exam instructional activity, 12th graders complete 34 math problems. The skills for each question cover a variety of topics, and graphing on grid paper is required for some of the questions.
Curated OER
Some Explorations With Even And Odd Functions
In this math worksheet, students explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
Curated OER
Linear Functions
Fifth graders investigate the concept of a function in relationship to how it is used. The concept is essential for the future study of Algebra. They apply the use of patterns with its relationship to functions.
Curated OER
Functions in Motion
Students graph polynomials functions and analyze the end behavior. In this algebra activity, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
Curated OER
Composition of Functions
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
Curated OER
Perturbing Functions and Introduction to Matlab
In this math worksheet, students practice using the program of Matlab and apply them while using functions. They practice writing equations in truncated form.
Curated OER
Patterns, Relations, and Functions
Young scholars investigate the patterns of different data sets of numbers. They use critical thinking skills in order to find the missing numbers in any given set. This lesson helps to develop the skill of number sense.
Curated OER
Functions As Equations
In this algebra worksheet, students use the given values for the functions to create a pattern of solving an equation that is extended into a word problem.
Curated OER
Function Investigation
In this functions worksheet, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs provided, making a rough sketch on a coordinate plane. Then, students predict what each graph will look...
Curated OER
Patterns and Linear Functions
Students investigate the concept of a linear function. They use geoboards to find the interior angle sums. The sum of the angles is found to equal 180 degrees. Students also investigate quadrilaterals.
Curated OER
M&M Math
Students research number values by participating in a candy exercise. In this math function instructional activity, students utilize baking ingredients to create cookies and multiply how many M&M's will go into the batch if you want...
Curated OER
Discussion Sheet 5: Differentiate Functions
In this differentiate function learning exercise, students differentiate functions, determine intervals, and derive the equation of a line tangent to a graph of a function. This two-page learning exercise contains eleven problems.