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EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...
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...
EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
Bonneville
Exploring Buck and Boost Converters
Boost one's knowledge of converters. The fourth of seven installments in the Off the Grid unit looks at buck and boost converters, which lower and raise the input voltage. Scholars apply the converters to adjust the output voltage to...
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
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
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...
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.
Science 4 Inquiry
The Yin and Yang of Photosynthesis: Day vs. Night
Floating fragments of elodea can grow even without roots. Young scientists use eldoea plants to observe the oxygen production from photosynthesis. They study the difference between having access to high amounts of light and low amounts...
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...
Curated OER
Nuts and bolts
Students work in groups to create a storyboard about their video. They shoot a video designed to teach others to connect the computer and camcorder and how to capture video in Adobe Premiere Elements editing program.
Curated OER
Identify and Label Different Types of Angles
Students identify and label acute, obtuse, and right angles within a picture. Using Kid Pix software and digital photos, they manipulate, identify, and label the angles and describe the angles to a classmate.
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
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...
Curated OER
Input Devices
Eleventh graders recall and identify what terms mean. They give an example of one of the term's hardware components. Students are taught how Input and Output devices work. They recognize acutual component in the computer as they are...
Serendip
Using Models to Understand Photosynthesis
Is your class in the dark about photosynthesis? Shed some sunlight on an important biological process with a thoughtful activity. After answering questions to help determine their level of knowledge, learners work with chemical equations...
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...
Curated OER
Stochastic and Deterministic Modeling
Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...
Concord Consortium
Poly II
Create polynomials with specific values. The task consists of writing three polynomial functions that evaluate to specific values for any given number. Scholars first find a polynomial that evaluates to one for a given value, then a...
PHET
Function Builder: Basics
Learn about functions using the function builder app. A fun online interactive has the class conduct an investigation using a function machine. Inputs are pieces of art, and output are transformations of these pieces of art.
College Board
2003 AP® Microeconomics Free-Response Questions Form B
How are monopolies and competitive firms similar and different? Scholars consider the question using authentic College Board materials. Other prompts consider supply and demand curves and the relationship between wages and output.
Google
Surveys and Estimating Large Quantities
Looking for an estimation activity a bit more involved than the typical "guess the number of jellybeans in the jar" game? Here, learners use a picture to estimate the number of people at a large event, look for potential problems with...
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.
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
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