West Contra Costa Unified School District
Introduction to Trigonometric Functions
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
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Triangle Congruence
In this triangle congruence worksheet, students review 4 triangle congruence properties and 4 examples. Students are then prompted to complete 15 problems analyzing whether two triangles are congruent and determine by which property.
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Vectors
Represent motion with arrows and call them vectors! The lesson is a presentation that models the mathematics involved when determining a resultant vector. It addrssses motions that are parallel, perpendicular, and a combination of...
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Trigonometry Investigation
In this math worksheet, students use the sheet to conduct an investigation to find the trigonometric ratios using opposite and adjacent sides to see how they are related to each other.
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Sine
In this sine worksheet, learners use the trigonometry equation to find the sine of triangles. Students solve the sine for 10 triangle problems.
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Geometry: Lesson 10
Eighth graders investigate the Pythagorean theorem and how it is used in geometry. Measurements for different triangles is given and then students must solve problems in order to practice using the formula.
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The Pythagorean Theorem
Seventh graders relate the Pythagorean theorem to the real world. For this algebra lesson, 7th graders identify important properties of the Pythagorean theorem and use it to solve word problems. They create a step by step plan to...
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Dilation
Tenth graders identidy and define various geometry terms, Students create exact replicas of a shape that is either smaller or larger than the original shape. Students prove that their entire shapes are larger or smaller in the same...
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The Pythagorean Theorem, the Distance Formula, and Slope
Students explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.
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Ten Multiple Choice Length Problems
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...
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Mathematical Wackie Wordies
In this word learning exercise, 9th graders examine pictures and write a mathematical phrase to describe the picture. This one-page learning exercise contains 25 problems. Answers are provided.
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Mnemonics to Remember Your Trig Ratios
In this calculus learning exercise, students review mnemonic rhymes to help them remember the different ratios of sine, cosine and tangent. They are funny and memorable for any grade level.
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Perimeter and Area of 2D Shapes
Students find the perimeter and area of circles, triangles, and rectangles. In this perimeter and area lesson plan, the teacher gives students formulas for each shape and measurement and works through examples on the board. While no...
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Understanding Fundamental Trigonometric Identities
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
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The Pythagorean Theorem
In this geometry learning exercise, students solve missing parts of a triangle using the Pythagorean Theorem. There are 19 questions with an answer key.
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This Building is Tall
High schoolers calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
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Seventeen Math Regents Exam Pythagorean Theorem Questions
In this Pythagorean Theorem worksheet, students solve seventeen Math Regents Exam questions using the Pythagorean Theorem. The solutions are provided.
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Geometry In the Yard
Students are responsible for creating a border around a triangular garden spot, of which they know the measurements for two sides. They use the Pythagorean Theorem to calculate the third side and complete the garden.
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Chambered Nautilus
Students create sets of similar triangles which, when fixed together with a piece of Scotch tape, form a spiral-like, segmented shape, slightly similar to the cross section of the shell of a nautilus.
Maths Challenge
Maths challenge.net: Right Angle Reasoning
A geometry problem for students to use their mathematical reasoning skills to explain a right triangle property.
Oswego City School District
Regents Exam Prep Center: Special Right Triangles
A collection of lessons, practice activities, and a teacher resource that will aid your exploration and understanding of special right triangles.
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Zona Land: Right Triangle Solver 3
A java applet that will solve a right triangle when you provide angle D and the length of the hypotenuse f.
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Zona Land: Right Triangle Solver 2
A java applet that will solve a right triangle when you provide angle D and its adjacent side e.
Khan Academy
Khan Academy: Hypotenuse, Opposite, and Adjacent
In a right triangle, the hypotenuse is the longest side, an 'opposite' side is the one across from a given angle, and an 'adjacent' side is next to a given angle.