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EngageNY
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
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...
Curated OER
Function Machine
Second graders decipher a pattern using input and output. In this functions lesson, 2nd graders use input and output numbers to find a pattern involving addition and subtraction. Students use the pattern they discovered to help solve...
Curated OER
Latch Circuits
In this circuit worksheet students complete a series of short answer questions using circuit diagrams to show the input and output of different switches.
Curated OER
The Slant on Slides Lab
In this inclined planes worksheet, students investigate the effort force needed to move a 1 kg weight up a ramp to different distances on the ramp. Students calculate the work input and output for each trial as well as the...
California Education Partners
T Shirts
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....
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...
Curated OER
What's My Function?
Students use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.
Curated OER
Function Tables
Learners identify function using tables of data. In this algebra lesson, students create a tale of point and plot on a coordinate plane. They analyze the graph as being a function or not.
Illustrative Mathematics
Invertible or Not?
Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...
Mathed Up!
Straight Line Graphs
Develop graphs by following the pattern. The resource provides opportunities for reviewing graphing linear equations. Pupils create tables to graph linear equations by using patterns whenever possible. The worksheet and video are part of...
Houghton Mifflin Harcourt
Unit 8 Math Vocabulary Cards (Grade 5)
Reinforce math vocabulary with a set of flash cards. With a total of forty-eight cards, each are printed in bold font, and include definition cards that offer a labeled example. Terms include absolute value, ordered...
College Board
2002 AP® Macroeconomics Free-Response Questions
Imagine the United States is experiencing an unusually high unemployment rate. What options does the federal government have to kick-start the economy? Learners consider the question with a structured prompt. Other questions examine...
College Board
2000 AP® Microeconomics Free-Response Questions
Monopolies may have an advantage in some markets, but what are they? A scaffolded problem set examines the effects monopolies have on a market. Other authentic College Board problems examine labor markets and how a variety of factors...
College Board
2002 AP® Microeconomics Free-Response Questions
Inventors with patents have a distinct advantage in the market. But what happens when the patent expires? A series of questions from College Board asks learners to consider the effects of a patent expiration. Other practice prompts...
Curated OER
Integers and Functions
In this integers and functions worksheet, students solve 6 word problems involving function tables and writing equations to match the story.
Curated OER
Patterns, Relations, and Functions: Lesson 3: Numerical Patterns
Fourth graders extend and continue numerical patterns using function or input/output machines. They finish the increasing patterns using input/output tables, and generalize the rules that apply to the pattern. They complete the...
Pennsylvania Department of Education
What is the Chance?
Fourth and fifth graders make predictions using data. In this analyzing data lesson, pupils use experimental data, frequency tables, and line plots to look for patterns in the data in order to determine chance. You will need to make a...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 5
Give your class a chance to show how much they've learned in the module with an end-of-module assessment task that covers all topics from the module including linear and non-linear functions and volumes of cones, cylinders, and...
West Contra Costa Unified School District
Evaluating Functions
Functions as inputs for other functions? After reviewing function notation and how to input values to evaluate functions, class members input functions into functions, essentially determining the composition of functions.
EngageNY
Linear Functions and Proportionality
Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...
Virginia Department of Education
Independent and Dependent Variables
Investigate the relationship between independent and dependent variables. Individuals begin by identifying independent and dependent variables from different problem situations. Then, using specific guidelines, they create posters...
Virginia Department of Education
Functions 1
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
Project Maths
Introduction to Patterns
The world is full of patterns. Help learners quantify those patterns with mathematical representations. The first Algebra instructional activity in a compilation of four uses a series of activities to build the concept of patterns using...