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  • Functions
8.F  Introducing Functions
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This is a task from the Illustrative Mathematics website that is one ...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Subject:
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
A-Rei Springboard Dive
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The problem presents a context where a quadratic function arises. Careful analysis, ...

The problem presents a context where a quadratic function arises. Careful analysis, including graphing, of the function is closely related to the context. The student will gain valuable experience applying the quadratic formula and the exercise also gives a possible implementation of completing the square.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Algae Blooms
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The problem statement describes a changing algae population as reported by the ...

The problem statement describes a changing algae population as reported by the Maryland Department of Natural Resources. In part (a), students are expected to build an exponential function modeling algae concentration from the description given of the relationship between concentrations in cells/ml and days of rapid growth (F-LE.2).

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Algebra Four
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Students play a generalized version of connect four, gaining the chance to ...

Students play a generalized version of connect four, gaining the chance to place a piece on the board by solving an algebraic equation. Parameters: Level of difficulty of equations to solve and type of problem. Algebra Four is one of the Interactivate assessment games.

Subject:
Computing and Information
Education
Mathematics
Algebra
Functions
Material Type:
Activity/Lab
Assessment
Diagram/Illustration
Game
Interactive
Lesson Plan
Simulation
Student Guide
Provider:
NSDL Staff
Shodor
SMARTR
Provider Set:
NSDL Math Common Core
CSERD: Computational Science Education Reference Desk
SMARTR: Virtual Learning Experiences for Youth
Algebra: In Simplest Terms
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In this series, host Sol Garfunkel explains how algebra is used for ...

In this series, host Sol Garfunkel explains how algebra is used for solving real-world problems and clearly explains concepts that may baffle many students. Graphic illustrations and on-location examples help students connect mathematics to daily life. The series also has applications in geometry and calculus instruction. Algebra is also valuable for teachers seeking to review the subject matter. A video instructional series on algebra for college and high school classrooms and adult learners; 26 half-hour video programs.

Subject:
Education
Mathematics
Algebra
Calculus
Functions
Geometry
Material Type:
Data Set
Lecture
Provider:
AMSER: Applied Math and Science Education Repository
Annenberg Learner
Internet Scout Project
Provider Set:
AMSER: Applied Math and Science Education Repository
Internet Scout Project
Algebra Quiz
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Test your algebra skills by answering questions. This quiz asks you to ...

Test your algebra skills by answering questions. This quiz asks you to solve algebraic linear and quadratic equations of one variable. Choose difficulty level, question types, and time limit. Algebra Quiz is one of the Interactivate assessment quizzes.

Subject:
Computing and Information
Education
Mathematics
Algebra
Functions
Material Type:
Activity/Lab
Assessment
Interactive
Lecture Notes
Lesson Plan
Simulation
Student Guide
Provider:
AMSER: Applied Math and Science Education Repository
NSDL Staff
Shodor
SMARTR
Provider Set:
AMSER: Applied Math and Science Education Repository
NSDL Math Common Core
CSERD: Computational Science Education Reference Desk
SMARTR: Virtual Learning Experiences for Youth
Algebraic Thinking
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This session, the first one in the Annenberg series "Patterns, Functions, and ...

This session, the first one in the Annenberg series "Patterns, Functions, and Algebra" enables the teacher to discover what it means to think algebraically, and to learn to use algebraic thinking skills to make sense of different situations. Topics covered include describing situations through pictures, charts, graphs, and words; interpreting and drawing conclusions from qualitative graphs; and creating graphs to match written descriptions of real-life situations. The session includes sequentially organized problems, video viewing, interactive activities, readings, and homework. The materials may be used on your own, in a study group, or as a facilitated online course for graduate credit, which is offered at a reasonable cost.

Subject:
Education
Mathematics
Algebra
Functions
Material Type:
Full Course
Unit of Study
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Annenberg Learner
Arrangement 2
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In this video segment from Cyberchase, Matt tries for a second time ...

In this video segment from Cyberchase, Matt tries for a second time to arrange tables and chairs to accommodate 20 workers. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.

Subject:
Mathematics
Algebra
Functions
Material Type:
Lecture
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media Common Core Collection
Teachers' Domain
Author:
U.S. Department of Education
WNET
Atmosphere Applet
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Atmosphere Applet: This program lets you study how the properties of the ...

Atmosphere Applet: This program lets you study how the properties of the atmosphere change with altitude. You can study the atmosphere of either the Earth or Mars. The equations used in this program are taken from the ICAO standard day model for the Earth and from some curve fits of the Martian atmosphere gathered by the Global Surveyor spacecraft. Using the airplane graphic you can select an altitude, or you can type an altitude into the input box.

The program instantly outputs a selected property and displays the local temperature and pressure on gauges You can output the temperature, pressure, density, local speed of sound, Mach number for specified velocity, or the ratio of aircraft lift to the lift on Earth at sea level. Input and output can be given in either English or metric units.

Subject:
Engineering
Algebra
Calculus
Functions
Trigonometry
Chemistry
Physics
Geoscience
Space Science
Material Type:
Full Course
Interactive
Provider:
ComPADRE Digital Library
NASA
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
NASA Glenn Research Center
Author:
NASA Glenn Research Center
Tom Benson
Bacteria Populations
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This task provides a real world context for interpreting and solving exponential ...

This task provides a real world context for interpreting and solving exponential equations. There are two solutions provided for part (a). The first solution demonstrates how to deduce the conclusion by thinking in terms of the functions and their rates of change. The second approach illustrates a rigorous algebraic demonstration that the two populations can never be equal.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Baseball Cards
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This task could be put to good use in an instructional sequence ...

This task could be put to good use in an instructional sequence designed to develop knowledge related to students' understanding of linear functions in contexts. Though students could work independently on the task, collaboration with peers is more likely to result in the exploration of a range of interpretations.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Basketball Rebounds
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This task involves a fairly straightforward decaying exponential. Filling out the table ...

This task involves a fairly straightforward decaying exponential. Filling out the table and developing the general formula is complicated only by the need to work with a fraction that requires decisions about rounding and precision.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Battery Charging
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This task describes two linear functions using two different representations. To draw ...

This task describes two linear functions using two different representations. To draw conclusions about the quantities, students have to find a common way of describing them. We have presented three solutions (1) Finding equations for both functions. (2) Using tables of values. (3) Using graphs.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Bike Race
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The purpose of this task is for students to interpret two distance-time ...

The purpose of this task is for students to interpret two distance-time graphs in terms of the context of a bicycle race. There are two major mathematical aspects to this: interpreting what a particular point on the graph means in terms of the context, and understanding that the "steepness" of the graph tells us something about how fast the bicyclists are moving.

Subject:
Mathematics
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Braille Combinations
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This interactive resource allows students to determine the maximum number of possible ...

This interactive resource allows students to determine the maximum number of possible braille codes there are and promotes the need to to work systemically. The Braille system uses dots either raised (bumps) or not, arranged in three rows by two columns. Students work out the answers to guided questions, complete tables and feedback is provided.

Subject:
Education
Mathematics
Algebra
Functions
Material Type:
Activity/Lab
Interactive
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
A.J. Reynolds
Braking Distance
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This task provides an exploration of a quadratic equation by descriptive, numerical, ...

This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.

Subject:
Mathematics
Algebra
Functions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics