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National Security Agency
Growing Patterns: Practical Pattern Problems
Your learners explore growing patterns by describing, extending, creating, and evaluating practical pattern problems in this three-day collaborative unit. Beginning with concrete patterns and function tables to extend and...
CPM
How to Recognize the Type of Graph from a Table
Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written worksheet. Learners decide the type of graph represented based on the differences in the function values....
Curated OER
Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...
Virginia Department of Education
Growing Patterns and Sequences
Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...
National Research Center for Career and Technical Education
Safety and Sanitation
Your microbiologists explore the graphing of exponential growth functions using bacteria, like e. coli and salmonella, in a well-written, career and technology lesson.
Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and young scholars' notes, an assignment, graphs, tables, and equations. Filled with constant...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
Curated OER
Skipping Into Multiplication
Young mathematicians study the relationship between skip counting and multiplication. They build on skip counting skills and examine arrays while studying multiplication. Resources are provided.
Curated OER
Equal Differences Over Equal Intervals 1
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover...
Curated OER
Skate Party
Learners use the Frayer model during problem solving. In this problem solving lesson, they examine multiple methods of data collection to solve real world problems. Resources are provided.
Curated OER
Model and Solve Algebraic Equations
Examine multiple ways to solve algebraic equations. Pupils will generate a problem solving strategy that addresses the prompt given by the teacher. They will then share their problem solving strategy with the class. Graphic organizers,...
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...
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
EngageNY
Relationships Between Two Numerical Variables
Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...
Curated OER
Analyzing Discrete and Continuous Data in a Spreadsheet
You are what you eat! Your statisticians keep a log of what they eat from anywhere between a day to more than a week, keeping track of a variety of nutritional information using a spreadsheet. After analyzing their own data, individuals...
Curated OER
Interpreting Graphs
Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.
Curated OER
Exploring Exponential Models
Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
Illustrative Mathematics
The Djinni’s Offer
The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...
Curated OER
Math 6 - Act. 08: Patterns
Sixth graders use centimeter cubes to build structures and then compare and contrast the patterns they see.
Curated OER
Virtual Field Trip / Route, Mileage and Gasoline Cost Graphs
Students use a spreadsheet program to graph and compare milage, gasoline costs and travel time for two travel routes in their virtual field trip in Michigan. They determine the most economical route based on the graphs and calculations.
Curated OER
2.0 "Water Is Life" Global Water Awareness Mini-Unit (Grades3-5)
Students study the amount of potable water on the Earth. In this water lesson, students examine the amount of potable water as compared to all the water on the Earth. They discuss why many parts of the world do not have access to good...
Curated OER
Metric Meals
Sixth graders investigate metric measurements. In this metric measurement lesson, 6th graders explore mass, capacity, and length. Students examine graduated cylinders and balance scales to obtain measurements. Resources are provided.
Curated OER
Water-Is There Going to be Enough?
High schoolers research the availability, usage and demand for water in the local area historically and use projections of the availability, usage and demand for water up to the year 2050. They gather data and present the information in...
Curated OER
Properties of Fractals
Middle schoolers build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...