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Interactive
CK-12 Foundation

Multiplying Matrices by a Scalar: Making Matrix Patterns

For Students 10th - 12th Standards
Scalar multiplication equations can be a drag. Scholars determine missing matrices to make correct scalar matrix multiplication equations. They place the correct matrix into the equations within the interactive resource and analyze the...
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Interactive
CK-12 Foundation

Matrix Algebra: Matrix Match

For Students 10th - 12th Standards
What size is the product of two matrices? Individuals determine that two matrices that can be multiplied and their resulting matrix by connecting them in the interactive resource. They make a generalization about the sizes of matrices...
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Interactive
CK-12 Foundation

Operations with Vectors: GPS Device

For Students 10th - 12th Standards
Determine the distance between two hikers using vectors. Pupils use an interactive to develop the formula to find the distance between two points knowing their relationship to a third point. Learners use the formula to calculate the...
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Interactive
CK-12 Foundation

Basic Inverse Trigonometric Functions: Ladder

For Students 10th - 12th Standards
Lean a ladder against the wall to create an angle. Class members use an interactive application to determine the angle a ladder makes with the ground. Individuals respond to five questions using inverse trigonometric functions.
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Interactive
CK-12 Foundation

Identifying Sets of Pythagorean Triples: Matching Problem

For Students 8th - 12th Standards
What sets of whole numbers make up the measures of side lengths in right triangles? Pupils use an interactive triangle to learn about Pythagorean triples. Individuals find missing values in triples and learn more about Pythagorean...
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Interactive
CK-12 Foundation

Lengths of Triangle Sides Using the Pythagorean Theorem: Find the Missing Side

For Students 8th - 12th Standards
What is the relationship between the sides of a right triangle? Learners use an interactive to create models of right triangles and view the relationship between the lengths of the sides. They finish by using the Pythagorean Theorem to...
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Interactive
CK-12 Foundation

Identifying Sets of Pythagorean Triples: The iPad is a Pythagorean Triple

For Students 8th - 12th Standards
Compare iPad and HDTV aspect ratios. Individuals use the interactive to determine whether the measurements of screens represent a Pythagorean triple. The pupils determine what changes are needed to make a Pythagorean triple.
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Interactive
CK-12 Foundation

Pythagorean Theorem to Classify Triangles: Missing Angles

For Students 8th - 12th Standards
Learn to use the Pythagorean Theorem with non-right triangles. Pupils use the interactive to discover the relationship between the lengths of sides for acute and obtuse triangles. They compare the squares of the sides of the triangles to...
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Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Ladders

For Students 8th - 12th Standards
Young mathematicians to the rescue! Pupils use an interactive to find lengths relating a ladder against a building. The problems involve determining how long a ladder must be to reach a given floor to what floor can a given ladder reach.
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Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Tree Shadows

For Students 8th - 12th Standards
Why is that shadow getting longer? Determine the changes in the length of a shadow as the sun changes position in the sky. Individuals use an interactive to calculate the length of a shadow at different times during the day via the...
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Interactive
CK-12 Foundation

Lengths of Sides in Isosceles Right Triangles: Paper Football

For Students 9th - 12th Standards
Fuse sports and geometry by having your class create paper footballs—that are actually isosceles right triangles! Scholars use an interactive to create an isosceles right triangle to model a paper football. From the information in the...
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Interactive
CK-12 Foundation

Relationships of Sides in 30-60-90 Right Triangles: Truck on a Mountain Road

For Students 9th - 12th Standards
Determine the change in elevation on a mountain road. Individuals use the interactive to simulate a truck driving up a mountain road with a 30-degree incline. They determine missing sides of a 30-60 right triangle to find horizontal and...
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Interactive
CK-12 Foundation

Measuring Rotation: Aircraft Headings

For Students 9th - 12th Standards
Measure angles in more than one way. The interactive introduces the concept of measuring angles from 0 to 360 degrees. Scholars explore the relationships between the angle and reference angles along with coterminal angles.
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Interactive
CK-12 Foundation

Adding and Subtracting Matrices: The Matrix Calculator

For Students 10th - 12th Standards
Discover the procedure to add and subtract matrices. Pupils use the interactive and discover the pattern in adding and subtracting matrices. Scholars adjust the entries in the addends and see the resulting changes in the sum. They also...
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Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 9th - 12th Standards
Determine whether the soccer field has the right area. Pupils create a virtual soccer field based upon constraints. They determine the equation that models the area and continue to investigate other potential areas.
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Interactive
CK-12 Foundation

Discriminant

For Students 9th - 12th Standards
Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...
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Interactive
CK-12 Foundation

Use Square Roots to Solve Quadratic Equations: Plus or Minus

For Students 9th - 12th Standards
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...
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Interactive
CK-12 Foundation

Completing the Square

For Students 9th - 12th Standards
Determine the area of a square with quadratics. Pupils use the interactive to visualize the process of completing the square. Scholars build a square area model to represent a quadratic expression then determine the amount that needs to...
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Interactive
CK-12 Foundation

Radian Measure: Unit Circle Conversions

For Students 10th - 12th
Individuals investigate the relationship between radian and angle measurements by using an interactive to find the angle measurement for given radian measures. Users answer questions to convert between the two measurements.
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Interactive
CK-12 Foundation

Conversions between Degrees and Radians: Charting Hours in the Day

For Students 10th - 12th Standards
Forget hours, divide the day into radians instead. Class members convert the angles in a pie chart of daily activities into radian measures. They add angle measures for multiple activities then determine a relationship between the radian...
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Interactive
CK-12 Foundation

Length of an Arc: Pi Hour

For Students 9th - 12th Standards
What time is it when the arc length is pi? An interactive displays the measure of the angle created between the hour and minute hand of a clock. Pupils can set the clock to different hours and calculate the arc length based upon the radius.
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Interactive
CK-12 Foundation

Basic Trigonometric Functions: Ladder Length

For Students 9th - 12th Standards
Climb the ladder to trigonometry. The interactive introduces trigonometric ratios and finding lengths of sides of right triangles created by a ladder and a building. Learners use the interactive to create triangles by moving the top of...
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Interactive
CK-12 Foundation

Sine, Cosine, and Tangent Functions: Lighthouse

For Students 9th - 12th Standards
How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances stemming...
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Interactive
CK-12 Foundation

Secant, Cosecant, and Cotangent Functions: Hold the Ladder!

For Students 9th - 12th Standards
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...

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