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Interactive
CK-12 Foundation

Basic Geometric Definitions: Alternate Dimensions

For Students 9th - 12th Standards
How do you calculate problems in alternate dimensions? The interactive allows learners to manipulate points in 2-D as scholars explore the relationship the points must have to create a one-dimensional object. Pupils identify objects that...
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Lesson Plan
Curated OER

Two for One Box Company: Student Worksheet

For Teachers 5th - 6th
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
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Lesson Plan
EngageNY

Three-Dimensional Space

For Teachers 9th - 10th Standards
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and other...
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Performance
Radford University

Coal Silo Design Task

For Teachers 9th - 12th Standards
The coal is mined. Now what? Scholars design a coal silo that stores mined earth using at least two different three-dimensional shapes. They calculate the volume, determine the amount of mined earth produced in a day, and find the amount...
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Lesson Plan
Curated OER

Calculating Distances in Two and Three Dimensions

For Teachers 9th - 11th
Students use the Pythagorean Theorem to solve problems. In this geometry lesson, students solve for the distances by calculating the different parts of the shape of a two and three dimensional shape. They reason by analogy.
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Lesson Plan
EngageNY

Vectors and the Equation of a Line

For Students 11th - 12th Standards
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
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Unit Plan
Radford University

2 and 3 Dimensional Shapes

For Students 9th - 12th Standards
Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...
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Lesson Plan
Curated OER

2: Isle of Shapes - Based on the Puerto Rico Quarter Reverse

For Teachers 2nd - 4th
Students identify both two and three-dimensional shapes. In this geometric shapes lesson, students listen to a teacher led lesson about the island of Puerto Rico. They look at the symbols and shapes on "Puerto Rico Quarter Reverse" on a...
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Lesson Plan
Curated OER

Motion in Two Dimensions

For Teachers 9th - 12th
Two activities employ the use of kinematic equations for determining projectile ranges. They both require the use of a toy dart gun. Included in this resource are both the teacher's guide and student laboratory sheets. This is an...
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Assessment
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1
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 2

For Teachers 9th - 12th Standards
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
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Worksheet
Curated OER

Solving Trigonometry Problems in Two and Three Dimensions

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students solve trigonometry problems in two and three dimensions. The eleven page worksheet contains explanation, examples, and twenty problems. Answers are not included.
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Lesson Plan
Exploratorium

Building Three-Dimensional Structures

For Teachers 6th - 8th
Are you looking for a good 3-D geometry instructional activity that includes hands-on activities for your middle schoolers? Look no further than this one! Pupils use centimeter grid paper embedded in the plan, along with detailed...
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Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
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Lesson Plan
Willow Tree

Three-Dimensional Figures

For Students 8th - 11th Standards
Time to move into the third dimension! Learn the names of the geometric solids and count faces, edges, and vertices. Then learn to recognize nets that create a given solid. 
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Activity
1
1
GNS Science

Think like a Geologist: 2

For Teachers 5th - 6th Standards
All models are better in three dimensions. A hands-on lesson asks learners to create 3-D models of a rock layer using a template. They arrange the puzzle piece sides together to create models that are scientifically correct. Once the...
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Worksheet
Curated OER

Two for One Box Company

For Students 4th
Here is a challenging and thought-provoking math worksheet. In it, learners work together to construct a variety of boxes of different sizes to see if doubling the size of a box really means it can hold twice as much stuff as the...
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eBook
Rice University

Calculus Volume 3

For Students 11th - Higher Ed
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
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Lesson Plan
Curated OER

Searching for Angles and Lines

For Teachers 6th - 8th
Students work to find and reinforce concepts related to lines and angles. They identify the characteristics of shapes that have one, two, and three dimensions. The students also work on definitions related to the geometry of shapes.
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Lesson Plan
Virginia Commonwealth University

General Construction Measurement and Dimensions

For Teachers 6th - 9th Standards
Learners construct their understanding of measurement and dimensions in this step-by-step approach that begins with an all group vocabulary introduction, consisting of measuring objects and dialoging using measurement vocabulary....
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Lesson Plan
Virginia Department of Education

3-D Figures

For Students 8th Standards
Scholars construct three-dimensional figures to study dimension and side views. Learners build models using linking cubes to match views of different sides. After practicing with models, they attempt to match three-dimensional drawings...
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Lesson Plan
EngageNY

Composition of Linear Transformations 2

For Teachers 11th - 12th Standards
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of transformations. 
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Worksheet
Curated OER

Cylinder: Student Worksheet

For Students 3rd - 5th
Pairs of geometry whizzes work together to determine which of three differently shaped cylinders will have the greatest volume. Pupils cut out the three rectangles embedded in the plan, and tape them together to form a cylinder. From...
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Worksheet
2
2
K12 Reader

3-D: It’s Not Just for Movies

For Students 2nd - 3rd Standards
This two-part reading comprehension exercise asks kids to read a short passage about cubes, rectangular prisms, spheres and pyramids, and then to respond to a series of questions about the article.
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 3)

For Teachers 9th - 12th Standards
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....