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Illustrative Mathematics

Equations of Lines

For Teachers 7th - 9th Standards
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases.  It...
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Lesson Plan
Virginia Department of Education

Solving Linear Equations

For Teachers 8th - 10th
Practice solving linear equations by graphing. Scholars learn to solve multi-step linear equations in one variable by graphing both sides of the equation separately. They use graphing calculators to find the intersection of the graphs.
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Lesson Plan
Curated OER

Who Shares My Function?

For Teachers 10th - 11th
Students differentiate between linear and quadratic functions. For this algebra lesson, students write equations of graphs and graph a function from an equation. They also move the graph around on the coordinate plane.    
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Lesson Plan
Curated OER

Functions

For Teachers 9th - 10th
In this algebra worksheet, students look at 4 sets of relations and determine if they are functions. Students are provided with the graphs of three functions and determine the function value. Two relations are graphed on the coordinate...
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Lesson Plan
Curated OER

Investigation - Looking For Triangles

For Teachers 7th
Seventh graders investigate a series of triangles, looking for patterns and generalizing what they have found. They analyze the pattern data and organize it into a table and graph. Students identify the relationship and discover the rule...
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Lesson Plan
Curated OER

Hyperbolas

For Teachers 10th - 12th
Learners engage in a lesson that covers the concepts related to the graphing of hyperbolas looking at topics like foci, center, vertices, and asymptotes. They find multiple different points in the coordinate plain and then plot the graph.
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Lesson Plan
Curated OER

Discovering Ohm's Law

For Teachers 11th - 12th
Connect math with science! Pupils apply properties of Ohms Law as they solve problems and identify the inverse relationship of a function. They analyze the shape of the graph of an inverse function and use it to make predictions.
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Lesson Plan
Curated OER

Parabolas

For Teachers 11th - 12th
Students find equations of parabolas in real world scenarios.  In this finding equations of parabolas in real world scenarios lesson, students find the equations of parabolas of US landmarks.  Students put a grid on landmarks...
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Lesson Plan
Curated OER

Slope and Topographic Maps

For Teachers 9th - 10th
Learners investigate slopes as they study topographic maps. In this algebra lesson, students discuss and apply the concept of slopes to graphing and analyzing data.
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Lesson Plan
Center of Excellence for Science and Mathematics Education

A Sick Astronaut

For Teachers 6th - 8th Standards
Aspiring astronauts graph, interpret, and analyze data. They investigate the relationship between two variables in a problem situation. Using both graphic and symbolic representations they will grasp the concept of line of best fit to...
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Lesson Plan
Curated OER

The Price Is Right

For Teachers 7th - 9th
Young scholars create a list of products with estimated prices. In this algebra lesson, students learn to write equations using variables. They match their created list with that of actual products and compare their prices,
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Lesson Plan
Curated OER

Relating Distance and Velocity Over Time

For Teachers 8th - 11th
Students calculate the distance and velocity over time. In this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
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Lesson Plan
Curated OER

Introductory Algebra Chapter 8 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems that are correlated with the objectives. Each practice set has an in depth example.
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Lesson Plan
Curated OER

Inquiry Unit: Modeling Maximums and Minimums

For Teachers 8th - 12th
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...
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Lesson Plan
EngageNY

Finding Systems of Inequalities That Describe Triangular and Rectangular Regions

For Students 9th - 12th Standards
How do you build a polygon from an inequality? An engaging lesson challenges pupils to do just that. Building from the previous lesson in this series, learners write systems of inequalities to model rectangles, triangles, and even...
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Lesson Plan
Curated OER

Solving Systems of Equations

For Teachers 10th - 12th
Students identify the quadrants and axis of a coordinate plane. In this algebra lesson, students discover the ocrrect way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and range and...
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Lesson Plan
Curated OER

Standard Form of Quadratic Functions

For Teachers 9th - 12th Standards
Students factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
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Lesson Plan
Curated OER

Slopes and Slope Intercepts

For Teachers 8th - 10th
Students identify the slope of an equation using various methods. In this algebra lesson, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the slope...
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Lesson Plan
Curated OER

How Many Solutions 2

For Teachers 9th - 12th Standards
High schoolers solve systems of equations. In this algebra lesson, students graph lines and identify the point of intersection. They identify the function to see if it is a function.
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Lesson Plan
Curated OER

Exploring Transformations

For Teachers 9th - 12th Standards
Young scholars investigate functions and their transformations. They move absolute value functions around on the coordinate plane, and then define the transformation and plot the new graph. The table feature of the TI-calculator is used...
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Lesson Plan
Curated OER

Conic Sections

For Teachers 9th - 11th
Students explore the different properties of conics. In this algebra lesson, students calculate the midpoint of a line, the distances between two points as they get ready to find the focus and directrix in eclipse and other conics. They...
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Lesson Plan
Curated OER

Walking Home II

For Teachers 7th - 10th
Students explore the relationship between distance and time. They analyze a situation involving distance traveled in a given period of time, represent the situation graphically and algebraically, and discuss the concept of slope as a...
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Lesson Plan
Curated OER

TI-Nspire Activity: What Does Your Representation Tell You?

For Teachers 9th - Higher Ed Standards
By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....
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Lesson Plan
Curated OER

Transformations and Exponential Functions

For Teachers 10th
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...