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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Cosine

For Students 10th - 12th Standards
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Tangent

For Students 10th - 12th Standards
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...
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Interactive
CK-12 Foundation

Horizontal and Vertical Line Graphs

For Students 8th - 10th Standards
See how vertical and horizontal lines have special equations. Scholars drag vertical and horizontal lines onto a coordinate plane to graph given equations. They then answer a set of challenge questions on the topic.  
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Interactive
CK-12 Foundation

Linear Inequalities in Two Variables

For Students 8th - 10th Standards
Take the tediousness out of finding solutions of inequalities by graphing. Individuals use an interactive that allows them to adjust a system of inequalities on a coordinate plane. Using the interactive helps find solutions to systems of...
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Interactive
CK-12 Foundation

Graphs of Linear Functions: Line Designs

For Students 8th - 10th Standards
Designs from lines are sublime. Scholars create colorful designs by connecting points on an interactive coordinate plane. They answer questions about slope and quadrants based on their designs.
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Interactive
CK-12 Foundation

Standard Form of Linear Equations: Seesaw

For Students 8th - 10th Standards
Don't hem and haw, learn about equations using a seesaw. An easy-to-use interactive has pupils move a seesaw on a coordinate plane to investigate the standard form of a linear equation. By completing a set of challenge questions, they...
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Interactive
CK-12 Foundation

Forms of Linear Equations: Equation Exploration

For Students 8th - 9th Standards
Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...
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Interactive
CK-12 Foundation

Comparing Equation of Parallel and Perpendicular Lines: Parallel and Perpendicular Lines

For Students 9th - 11th Standards
It seems perpendicular lines have slopes which follow a specific rule. Scholars use an interactive to investigate this rule by moving a pair of lines on a coordinate plane. They find that perpendicular lines have slopes that are opposite...
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Interactive
CK-12 Foundation

Distance Between Two Points: Biking the Blocks

For Students 9th - 12th Standards
Distance estimates would be easy if the world were a grid. Scholars work to determine the distance between two structures using a coordinate plane. As an introduction, the lesson focuses on vertical and horizontal distances.
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Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Where Is That Limit?

For Students 11th - Higher Ed
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
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Interactive
CK-12 Foundation

Infinite Limit Type: Evaluating Limits of Rational Functions

For Students 11th - Higher Ed Standards
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
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Interactive
CK-12 Foundation

Restricted Domain and Range: Translation of a Curve

For Students 9th - 12th Standards
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...
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Interactive
CK-12 Foundation

Vector Projection

For Students 11th - Higher Ed
Two words summarize the interactive: vector projector. An easy-to-use resource lets users investigate vector projections on the coordinate plane. Given the components of two vectors, they determine the projection of one vector onto the...
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Interactive
CK-12 Foundation

Parametric Equations: Protecting the Village

For Students 11th - Higher Ed
Determine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...
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Lesson Plan
Curated OER

Reflecting a Triangle in the Coordinate Plane

For Teachers 9th - 12th Standards
Learners explore geometric concepts using technology. They manipulate the TI to find important math topics. This activity requires a TI-84 or higher.
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Lesson Plan
Mathematics TEKS Toolkit

Grade 6: Exploring c/d = pi

For Teachers 6th Standards
Introduce your math class to the perimeter of a circle. Teach them that pi describes the relationship between the circumference and the diameter. As a hands-on investigation, pairs or small groups use string to compare these two values...
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Worksheet
Curated OER

Graph Study

For Students 5th - 6th
In this geometry skills learning exercise, students examine a graph and respond to 5 questions that require them to identify the coordinate pairs of object on the grid.
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Lesson Plan
Curated OER

Coordinate Proofs

For Teachers 9th - 12th
Students explore the concept of coordinate proofs. In this coordinate proofs lesson, students write coordinate proofs using properties of distance, slope, and midpoint. Students discuss why it is sometimes beneficial to double the...
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Lesson Plan
Math by Design

Transformations – Reflections

For Teachers 7th - 8th Standards
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
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Lesson Plan
Virginia Department of Education

Transformations

For Students 8th Standards
Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...
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Lesson Plan
Curated OER

Compound Inequalities and Graphing

For Teachers 10th - 11th
Put geometry skills to the test! Learners solve compound inequalities and then graph the inequalities on a coordinate plane using their geometric skills. They identify the slope and y-intercept in order to graph correctly. I like this...
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Lesson Plan
Curated OER

Is This a Rectangle?

For Teachers 8th - 10th Standards
How do you show that something is a rectangle? This activity starts with four coordinate points and asks young geometers to explain whether they create a rectangle. Knowledge from both geometry and algebra come into play here, as well...
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Lesson Plan
Curated OER

Point Comparisons

For Teachers 7th - 9th Standards
Young geometers investigate two-dimensional figures using coordinate grids. They identify polygons and draw examples of their reflection, rotation, and translation on a coordinate grid. And they complete a worksheet practicing examples...
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Worksheet
CPM

Rigid Transformations

For Students 8th - 10th Standards
In this rigid transformation worksheet, students follow directions to translate, reflect or rotate a figure in a coordinate plane. Examples and explanations are provided at the beginning of the document. This two-page worksheet contains...

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