EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of...
Curated OER
Building Boxes- Polynimial And Rational Functions
Students investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how the...
Curated OER
Exploring Exponential Growth and Decay Functions
Learners differentiate between exponential growth and decay. In this algebra lesson, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their functions.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
College Board
2012 AP® Calculus AB Free-Response Questions
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
Curated OER
Math Activity: "Snake"
Fourth graders explore patterns by participating in a class math activity. In this early algebra lesson, 4th graders utilize a die and chart to keep record of a snake game in which students must utilize a math function to solve a problem...
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...
Virginia Department of Education
Matching Representations
Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...
Curated OER
Rhythm, Math, Rhythm
Students play instruments in math class to learn the interconnectedness between math and music. In this math instructional activity, students subdivide a piece of music, clapping rhythms and charting rhythm patterns in the song. A guided...
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 learning exercise that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Curated OER
Cutting Corners - Parts 1 and 2
Learners use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
Concord Consortium
Graphical Depictions
Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...
Curated OER
Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
Curated OER
Arithmetic Patterns
Introduce your young math scholars to functions. Because the answer is explained at the bottom of the page, consider projecting this and covering it up until you hear the class responses. They observe a rule (in this case to add 15) and...
Curated OER
Patterns Everywhere!
Learners recognize and demonstrate the patterning of numbers and objects in our environment. They create a pattern using geometric shapes and find a missing number in a sequence.
Curated OER
Investigation - Patterns/Functions
Students will display the first five rows of Pascal's Triangle and discuss in their groups what patterns they see in the rows of numbers. They will give responses and discuss that these numbers form what is called Pascal's Triangle.
Curated OER
Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
Curated OER
Interpreting and Displaying Sets of Data
Students explore the concept of interpreting data. In this interpreting data lesson, students make a line plot of themselves according to the number of cubes they can hold in their hand. Students create their own data to graph and...
Curated OER
Math Activity File
Third graders describe the difference between area and volume and also explain how various units of measure relate to one another.
EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
Concord Consortium
Betweenness III
Don't let a little challenge get between your pupils and their learning! Scholars compare two absolute value functions to recognize patterns and use them to build their own functions with outputs that are between the given. They then...
Alabama Learning Exchange
Bloodstain Pattern Doesn't Lie......
An interesting instructional activity on hypothesizing about the diameter of a drop of blood that is splattered. To test their theories, learners work in groups to make blood droplets splatter from different heights. They use graphed...
American Statistical Association
You and Michael
Investigate the relationship between height and arm span. Young statisticians measure the heights and arm spans of each class member and create a scatter plot using the data. They draw a line of best fit and use its slope to explain the...