Curated OER
Your Father
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Radford University
I Want to Rock!
Find the best deal on music. Small groups create playlists of music and determine the cost based on different pricing structures. They determine whether the pricing structure represents a direct or inverse variation relationship by...
Curated OER
Inverse Relationship Between Addition and subtraction
First graders review number facts to illustrate the relationship between addition and subtraction. In this inverse relationship lesson plan, 1st graders write an addition sentence and then invert the numbers to show the subtraction fact.
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Scholastic
Study Jams! Relate Multiplication & Division
Sometimes the easiest way to understand division is to look at it as multiplication. Show your mathematicians that every problem can be written backward to make it easier for them. The video explains how the relationship between...
Curated OER
Inverse Relationships Add and Subtract [C]
In this inverse relationship worksheet, students use information given to fill in blank boxes showing the inverse relationship of addition and subtraction problems.
Curated OER
Functions and Inverses
Students solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
Curated OER
Introduction to Inverse Functions
Students investigate patterns of inverse functions. In this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
Curated OER
Understanding the Relationship Between Subtraction and Addition
In this understanding subtraction and its relationship to addition activity, students examine 14 number statements. They determine if the statements are true or false.
Curated OER
Worksheet #2.7 MT-A141 PreCalculus
Get ready for Calculus! The class solves equations, graphs a relation defined parametrically, and gives the parametric equation for the inverse relation. They then identify the geometric relationship between two graphs.
EngageNY
The Relationship Between Visual Fraction Models and Equations
Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...
Illustrative Mathematics
Latitude
The greater the latitude, the less of the Earth is north. Scholars graph the relationship between the latitude and the percentage of the Earth that is north of the latitude. Using the graph and the table, class members interpret values...
Pennsylvania Department of Education
Fractional Parts Using an Area Model
Learners explore multiplying fractions and their relationship to parts of a whole. They draw and shade fractional parts to show parts of a whole and fractional parts of a fraction. Pupils also use an Internet site for interactive practice.
Curated OER
Inverse Relationships Add/Sub (C)
In this inverse relationships worksheet, students use the given numbers to solve the addition and subtraction sentences to solve the 16 inverse relationship problems.
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Curated OER
Proportions
In this proportions worksheet, students solve and complete 7 various types of problems. First, they determine the better buy based on the information provided for each word problem. Then, students find the value of a variable given its...
EngageNY
Logarithmic and Exponential Problem Solving
Just how old is it? The 22nd portion to a 23-part Precalculus unit uses radiocarbon dating and other exponential modeled real-world problems. Learners use the inverse relationship between logarithms and exponentials to solve the problem...
Illustrative Mathematics
How Many Marbles?
Don't lose your marbles! This simple story problem helps make teaching division with fractions much easier. Work on this problem along with the lesson titled, How Many Servings of Oatmeal? to highlight the difference between the two...
Concord Consortium
Defining Logarithms
An inverse relationship exists between exponents and logarithms, allowing mathematicians to easily convert one to the other. Scholars apply a brief definition of logarithms with a few practice problems. Then, they discover the...
Curated OER
Inverse Variation
In this algebra worksheet, students find the inverse of an equations. They graph their solutions and analyze it. There are 8 questions.
Curated OER
Be Direct - Oil Spills on Land
Students participate in an activity to simulate direct variation. In this oil spills on land lesson plan, students participate in a simulation using toilet paper and vegetable oil to explore the characteristics of direct variation. They...
EngageNY
Complex Number Division 2
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second instructional activity on complex number division, the class takes a closer look at the numerator and denominator of the...
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