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Lesson Plan
Curated OER

Properties of Logarithmic Functions

For Teachers 8th - 10th
Students solve exponential functions. For this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
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Lesson Plan
Curated OER

Patterns and Linear Functions

For Teachers 9th - 10th
Students investigate the concept of a linear function. They use geoboards to find the interior angle sums. The sum of the angles is found to equal 180 degrees. Students also investigate quadrilaterals.
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Lesson Plan
Curated OER

Worksheet 2: Functions as Machines

For Teachers 9th - 12th
In this algebra worksheet, learners read about the concept of functions and how to apply them. Then they fill in the graphic organizer with the right type of functions.
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Lesson Plan
Curated OER

Functions As Relationships

For Teachers 9th - 12th
In this algebra worksheet, high schoolers read the information about the relationships of functions and then they fill in the graphic organizer with the information at the bottom of the page.
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Lesson Plan
EngageNY

Representations of a Line

For Teachers 8th Standards
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
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Lesson Plan
EngageNY

Interpreting Rate of Change and Initial Value

For Teachers 8th Standards
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
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Lesson Plan
Virginia Department of Education

Logarithmic Modeling

For Teachers 10th - 12th
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
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Lesson Plan
EngageNY

Modeling Linear Relationships

For Teachers 8th Standards
Math modeling is made easy with the first installment of a 16-part module that teaches pupils to model real-world situations as linear relationships. They create graphs, tables of values, and equations given verbal descriptions.
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Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 1)

For Teachers 9th - 10th Standards
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic expressions. 
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Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 2)

For Teachers 9th - 10th Standards
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and others...
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Lesson Plan
Virginia Department of Education

Transformational Graphing

For Students 9th - 12th Standards
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
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Lesson Plan
EngageNY

Linear Models

For Teachers 8th
Expand your pupils' vocabulary! Learn how to use statistical vocabulary regarding linear models. The instructional activity teaches scholars the appropriate terminology for bivariate data analysis. To complete the module, individuals use...
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Lesson Plan
Virginia Department of Education

Exponential Modeling

For Teachers 10th - 12th
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
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Lesson Plan
Virginia Department of Education

Square Patios

For Students 8th - 10th Standards
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
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Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 3)

For Students 9th - 10th Standards
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
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Lesson Plan
Virginia Department of Education

Linear Modeling

For Teachers 8th - 11th Standards
An inquiry-based algebra instructional activity explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...
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Lesson Plan
Curated OER

Domain and Range: Equation

For Teachers 9th - 12th
For this algebra worksheet, students state the domain and range of various functions and equations. There are five questions and some are multiple choice questions.
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Lesson Plan
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Teach Engineering

Can You Resist This?

For Teachers 7th - 9th Standards
Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear functions with...
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Lesson Plan
Virginia Department of Education

Quadratic Curve of Best Fit

For Teachers 10th - 12th Standards
Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.
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Lesson Plan
Illustrative Mathematics

Accuracy of Carbon 14 Dating II

For Teachers 9th - 12th Standards
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and ranges of...
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Lesson Plan
K20 LEARN

ADA Accessibility: Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Ramp up using trigonometric ratios. After receiving a request to check school ramps to verify they meet ADA requirements, groups calculate the angle of the incline on ramps on campus. They report their findings via a letter to the...
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Lesson Plan
K20 LEARN

Didn’t We Already Learn That Pattern? Functions/Arithmetic Sequences

For Teachers 9th Standards
Just how many toothpicks does the pattern take? After watching a video of someone building a pattern with toothpicks, groups create methods to find the number of toothpicks needed to accomplish that task. Groups either use explicit...
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Lesson Plan
Teach Engineering

Discovering Relationships Between Side Length and Area

For Students 9th - 12th Standards
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
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Lesson Plan
Curated OER

Zeros of a Quadratic Function

For Teachers 9th - 12th Standards
Factor quadratic equations by teaching your young scholars how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.

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