Interactive
Curated OER

Ten Multiple Choice Length Problems

For Students 9th - 10th
In this distance worksheet, students calculate the lengths of sides and diagonals of figures.  Students also compute lengths in shadow problems.  The solutions are provided by clicking on the "show answers" tab at the bottom of...
Worksheet
Curated OER

Similarity: Instructional

For Students 7th - 8th
In this similarity learning exercise, students solve and complete 7 different problems that include determining various dimensions of mirrors shown. First, they find the length of the diagonal of the large mirror in the diagram. Then,...
Handout
Charleston School District

3D Applications of the Pythagorean Theorem

For Students 8th - 10th Standards
How many right triangles can you find in a prism, cone, or pyramid? Using right triangles to find lengths in three-dimensional figures is the focus of the lesson. After working with the Pythagorean Theorem to find missing side...
Worksheet
Curated OER

Countdown Challenge: Similarity

For Students 7th - 8th
In this similarity worksheet, students use similar rectangles to find the length of a diagonal. They use symbols and write paragraphs to explain the problem. This one-page worksheet contains one similar problem with 13 related questions.
Worksheet
Curated OER

Pythagorean Theorem Word Problems

For Students 10th
In this Pythagorean theorem worksheet, 10th graders solve 10 different word problems that include using the Pythagorean theorem in each. First, they determine the height of an equilateral triangle. Then, students determine the length of...
Worksheet
Curated OER

Right Triangles

For Students 10th
In this right triangles worksheet, 10th graders solve 10 different problems that include various right triangles. First, they find the value of a base given its hypotenuse. Then, students determine an angle given the perimeter and...
Lesson Plan
Curated OER

Area of Polygons

For Teachers 10th
In this area of polygons worksheet, 10th graders solve and complete 12 various types of problems. First, they find the area of a given square. Then, students find the length of an original square as illustrated. They also write an...
Worksheet
Curated OER

Geometric Applications

For Students 9th - 11th
In this geometric applications activity, students find the length of a missing side of a right triangle. They determine the perimeter of a polygon and find the distance between two lines. This two-page activity contains 28 problems.
Worksheet
1
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PBS

Working with Coordinate Planes: Activities and Supplemental Materials

For Students 5th - 8th Standards
Seven activities make up a collection of supplemental materials to reinforce graphing on a coordinate plane. Worksheet objectives include plotting coordinates within single and four quadrants, measuring straight and...
Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Quadrilaterals

For Teachers 3rd - 5th Standards
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
Instructional Video6:29
Corbett Maths

Pythagoras Rectangles and Isosceles Triangles

For Students 7th - 12th Standards
When does the Pythagorean Theorem come in handy? An intriguing video uses the Pythagorean Theorem to solve problems other than simply finding the length of a side of a right triangle. Pupils find the diagonal of a rectangle and the...
Worksheet
Curated OER

Special Right Triangles

For Students 10th
In this special right triangles worksheet, 10th graders solve 9 different problems related to measuring various types of right triangles. First, they find the values of x and y in each right triangle shown. Then, students find the length...
Worksheet
Curated OER

Quadrilaterals

For Students 10th
In this quadrilaterals worksheet, 10th graders solve 10 different problems that include the quadrilateral family and properties. First, they determine the area of a rectangle given the perimeter and length. Then, students determine the...
Lesson Plan
Curated OER

Geometry Journal: Isosceles Triangles

For Teachers 10th - 12th
In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.
Worksheet
Curated OER

Law of Cosines

For Students 10th
In this Law of Cosines worksheet, 10th graders solve 10 different problems related to applying the Laws of Cosine. First, they determine the length of a side rounded to the nearest integer. Then, students determine the largest angle of a...
Lesson Plan
Curated OER

Trigonometry Involving Figures - Week 11

For Teachers 10th - 11th
In this trigonometry worksheet, students use trigonometric functions to determine the measurement of angles and the length of sides in given figures. Most figures are comprised of rectangles containing parallel and perpendicular lines,...
Lesson Plan
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1
Curated OER

A Rectangle in the Coordinate Plane

For Teachers 7th - 9th Standards
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem. 
Assessment
Inside Mathematics

Patterns in Prague

For Teachers 8th Standards
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
Lesson Plan
Virginia Department of Education

Perfecting Squares

For Teachers 6th Standards
Here's a perfect way to introduce perfect squares. Individuals color in the diagonals of squares and record observations about patterns. They connect their diagrams to exponents of two and perfect squares.
Interactive
Curated OER

7-2 Self Check Pythagorean Theorem Multiple Choice

For Students 8th - 10th
Middle and high schoolers use the Pythagorean Theorem to determine the length of the sides of a right triangle. They solve distance problems. This one-page worksheet contains 10 multiple-choice problems. This is self-checking worksheet.
Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Instructional Video9:23
Corbett Maths

3D Pythagoras

For Students 6th - 12th Standards
Calculate one hypotenuse then repeat. The resource provides a variety of ways for finding the length of the diagonal in a prism. Using the Pythagorean Theorem, pupils find a variety of distances in 3-D figures. The distances range from...
Worksheet
Curated OER

Number Sense and Numeration: Square Roots

For Students 8th
In this square roots worksheet, 8th graders solve 14 different types of problems to include determining the square root of a number of problems, determining the area of a rectangle and the length of a side of a square with the same...
Worksheet
Curated OER

Countdown Challenge: Similarity

For Students 7th - 8th
In this similarity activity, students observe similar rectangles and determine the length of the diagonal. They use words, symbols and diagrams to solve the problem and explain the results. This one-page activity contains one multi-step...