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Worksheet
Curated OER

Applications of the Cross Product and Dot Product

For Students 9th - 12th
In this cross product and dot product worksheet, high schoolers solve 2 problems including finding the magnetic field between 2 poles of a magnet and determining angles between vectors in a word problem about television watching given a...
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Lesson Plan
Curated OER

MA 371 - Vector Norm: Dot Product

For Teachers 12th - Higher Ed
In this dot product worksheet, students solve 6 short answer problems. Students find unit vectors in the same direction as a given vector. Students express vectors as a linear combination of the standard basis vectors. Students find a...
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Worksheet
Curated OER

Math 212: Dot Product and Cross Product

For Students Higher Ed
In this dot product worksheet, students consider vectors, find the value of an angle, and confirm the area of a given parallelogram. This two-page worksheet contains three problems.
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Worksheet
Curated OER

Math 224 Spring 2004: Dot Product

For Students Higher Ed
In this dot product worksheet, students consider two vectors and compute the dot product and cross product of the given vectors. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Multivariable Calculus: Dot Product

For Students Higher Ed
In this dot product learning exercise, students identify the properties of the dot product. They sketch vectors and obtain expressions for diagonals. This two-page learning exercise contains examples and explanations with two problems.
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Worksheet
Curated OER

Linear Systems: Lengths and Dot Products

For Students Higher Ed
In this dot product worksheet, students explore the multiplication of vectors. This two-page worksheet contains explanations, examples, and approximately ten problems.
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Lesson Plan
Curated OER

Worksheet 8 - Vectors

For Teachers Higher Ed
In this vector worksheet, students find the area of a parallelogram spanned by vectors, they give the geometric and algebraic definitions of the dot product and describe a sequence of vectors. This one-page worksheet contains six...
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Activity
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Teach Engineering

Connect the Dots: Isometric Drawing and Coded Plans

For Students 6th - 12th Standards
Individuals discover how to draw cubes on triangle-dot paper. They use cubes to build structures and draw corresponding isometric drawings on dot paper in the second lesson of the series of five. The activity also introduces the concept...
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Worksheet
DK Publishing

Finding 5 - Multiplying by 5

For Students 2nd - 4th Standards
Visualize multiplication facts using rectangular arrays. Scholars multiply single-digit factors by five and represent each number sentence using sets of dots. They circle the groups of five and fill in missing parts of the equations....
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Worksheet
Curated OER

Multipli-Dot

For Students 2nd - 3rd
In this multiplication and connect the dots worksheet, students multiply one-digit and two-digit numbers and connect the dots in the order of their products to create a picture. Students solve 13 problems.
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Worksheet
Curated OER

Dot-to-Dot Rap Multiplication

For Students 2nd - 3rd
In this multiplication learning exercise, students multiply one-digit and two-digit numbers and use the products to connect the dots to create a picture. Students solve 13 problems.
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Worksheet
Curated OER

Multipli-Dot

For Students 3rd - 4th
In this finding the products worksheet, students multiply numerals to twelve by three, write the answers, and use the products to connect the dots. Students solve 12 problems.
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Lesson Plan
EngageNY

Expected Value of a Discrete Random Variable

For Teachers 11th - 12th Standards
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
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Worksheet
Curated OER

Linear Systems

For Students 11th - Higher Ed
In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
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Lesson Plan
Curated OER

Mean Absolute Deviation in Dot Plots

For Teachers 6th
The lesson focuses on the ideas of dot plot representations and the mean absolute deviation of data sets.
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Lesson Plan
Curated OER

Worksheet 4 - Geometric Mean

For Teachers Higher Ed
In this geometric worksheet, students examine the geometric and algebraic definition of the dot product. They find angles between two curves, determine if two vectors are parallel, and explain conditions on vectors. This one-page...
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Worksheet
Curated OER

Lengths and Dot Sequences

For Students 11th - Higher Ed
In this math learning exercise, students examine the process of multiplying vectors to find their products. They practice finding the geometric and algebraic views for the solutions.
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Worksheet
Curated OER

Connect the Dots

For Students 1st - 2nd
In this connect the dots worksheet, students count from 1 to 30 while connecting the dots. Students color the picture of the leprechaun that will be revealed.
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Worksheet
Curated OER

Dot to Dot Rock

For Students 4th
In this multiplication learning exercise, 4th graders solve the 12 multiplication equations and then connect the dots in the picture in the order of their products.
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Worksheet
Curated OER

Scientific Notation myTestBook.com

For Students 7th - 8th
In this scientific notation worksheet, students solve equations containing numbers in standard notation and scientific notation.  They add, subtract, multiply, and divide problems with scientific notation.  This one-page worksheet...
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Worksheet
Curated OER

Alignment of a Solar Panel: Dot and Cross Products

For Students Higher Ed
In this dot and cross product learning exercise, students identify vector points under given conditions determine vertical support and determine angles of an object. This two-page learning exercise contains two problems.
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Worksheet
Curated OER

Dot-to-dot Rock Multiplication

For Students 3rd
In this dot-to-dot rock multiplication worksheet, 3rd graders solve 12 problems for the facts of 9, then connect the dots in order of the products to reveal the mystery picture.
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Interactive
CK-12 Foundation

Values Written as Powers: Binary Numbers 17 to 24

For Students 6th - 8th Standards
Boost mathematicians' proficiency of binary numbers 17 to 24 with an interactive comprised of six questions—multiple-choice, true or false, and a discussion. A color-coded table reveals binary equivalents to aid in the problem-solving...
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Lesson Plan
Curated OER

Rolling Number Sentences

For Teachers K
Budding mathematicians investigate how to write number sentences using the Roll-the-Dice tool in "Kid Pix". They correlate the dots on the dice to numbers and then learn to use the addition and equal symbols to write number sentences....

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