AAA Math
Aaa Math: Inverse Relationship of Subtraction and Addition
Students explore the inverse relationship of addition and subtraction. The resource provides self-check exercises and timed learning games to practice the concept.
AAA Math
Aaa Math: Inverse Relationship: Multiplication & Division
This site explains the inverse relationship of division with multiplication. Gives problems and games to practice this skill in a fun and helpful way.
AAA Math
Aaa Math: Inverse Relationship of Addition and Subtraction
Explains the inverse relationship between addition and subtraction. Gives exercises and games to practice this skill.
Texas Education Agency
Texas Gateway: Functions and Their Inverses
Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.
PBS
Pbs: Math With Jake: Inverse Relationships
Musician and composer Jake Shimabukuro explains how ratios of notes have an inverse relationship to the string length of a ukulele, allowing musicians to produce various notes and pitches, in this video from the Center for Asian American...
Khan Academy
Khan Academy: Algebra Ii: Relationship Between Exponentials & Logarithms
Solve various problems that focus on the relationship between a^x=b and log_a(b)=x. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Better Lesson
Better Lesson: Using the Multiplication and Division Relationship to Solve
Third graders can solve multiplication and division problems quickly by recognizing the relationship between the two operations.
Purple Math
Purplemath: Logarithms: Introduction to "The Relationship"
Purplemath does a wonderful job of explaining logarithms. The lesson begins with a discussion of the relationship between logarithms and exponentials and very simple examples. The lesson gives important information regarding logarithms...
Illustrative Mathematics
Illustrative Mathematics: F if Parabolas and Inverse Functions
This task assumes an understanding of the relationship between functions and equations. Students try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, then the...
AAA Math
Aaa Math: Inverse Relationship of Addition and Subtraction
This site introduces addition and subtraction fact families and provides an opportunity for students to practice the skill.
PBS
Pbs: Scale City: Inverse Proportions and Shadows in the Real World
In this video, students take a quick trip through the history of drive-in theaters and are then asked to consider the question, "What is the relationship between the size of an object's shadow and the object's distance from a light...
Primary Resources
Primary Resources: Addition and Subtraction Higher Numbers
An extensive selection of teacher resources to aide in teaching and reviewing addition and subtraction of two and three digit numbers, inverse operations, counting on, and other mental strategies for addition and subtraction. Resources...
Illustrative Mathematics
Illustrative Mathematics: F Bf Exponentials and Logarithms Ii
The purpose of this task is to help students see that the definition of the logarithm as an exponent results in an inverse relationship between the exponential and logarithm functions with the same base. This prepares them to think about...
Beacon Learning Center
Beacon Learning Center: Checking Subtraction
Students can explore the inverse relationship of addition and subtraction in this interactive web lesson.
Better Lesson
Better Lesson: The Multiplication and Division Connection
Third graders can solve multiplication and division problems quickly by recognizing the relationship between the two operations.
Other
Nearpod: Relationship of Exponents & Logarithms
In this lesson, learners will learn how exponents and logarithms are connected and how to evaluate logarithms.
Georgia State University
Georgia State University: Hyper Physics: Earth Orbit Velocity
A discussion and statement of an equation for orbital speed. An interactive JavaScript form allows the user to investigate the relationship between orbital height and orbital speed. A very good opportunity to practice and receive...
Maths Challenge
Maths challenge.net: Alley Ladders
This is a "three star" geometry problem where prior math problem skills and proof experience is recommended to solve this relationship between the inverses of heights.
Exploratorium
Exploratorium: Your Weight on Other Worlds
From the Exploratorium Museum. Includes an interactive feature in which a visitor enters their weight on earth and has their weight on other planets computed and displayed. Discusses the distinction between mass and weight and describes...
Science Education Resource Center at Carleton College
Serc: Calculating the Speed of Sound
In this physical science lab, students will calculate the speed of sound. They will observe that the speed of sound is constant, regardless of wavelength or frequency, and see the inverse relationship between wavelength and frequency.
Purple Math
Purplemath: Graphing Logarithmic Functions: Intro
This lesson details graphing logarithmic functions. The lesson explains the relationship between the graph of the logarithm and its inverse. The site gives examples of logarithmic graphs of base 2, 3, and e. Shifts in logarithmic graphs...
Illustrative Mathematics
Illustrative Mathematics: 4.nbt Millions and Billions of People
The purpose of this task is to help students understand the multiplicative relationship between commonly used large numbers (thousands and millions) by using their understanding of place value. Aligns with 4.NBT.A.1.
Texas Instruments
Texas Instruments: Geometric Representation of Trig Functions
Using similar triangles, a relationship is established between the six trigonometric functions of an angle and simple line segments. These relationships are then confirmed using line segment measurement capabilities of the graphing...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Seven Circles Iii
In this task, students are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...
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