Illustrative Mathematics
Doctor's Appointment
Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...
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Distance Formula
Students create ways to find the number of square miles that lie in a triangle having vertices at A, B, and C. They compute the distance between two points and use Heron's formula to find the area of the triangle. Finally, students...
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Investigating Trigonometric Ratios Through Similar Right Triangles.
49Students investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
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Trig is SOH Easy!
Students derive the six trigonometric identities. In this trigonometry lesson plan, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent...
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Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
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Which Triangles are Right
Students apply properties of right triangles to solve problems. In this geometry lesson, students identify axioms and theorems using examples.
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An application of the Parallax Effect
In this parallax effect activity, learners observe 2 photographs taken of an active area of the sun by 2 STEREO satellites and 1 photograph taken of the same active area of the sun by the SOHO satellite. Students observe the shift in...
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Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Virginia Department of Education
Special Right Triangles and Right Triangle Trigonometry
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
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Four Estimating the Area of Small Objects Problems
In this estimating area worksheet, students work with their families to draw four small objects found around their house and estimate the area of each object.
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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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Number Sense: Real Numbers
Using a scientific calculator and an 11-page guide sheet, middle schoolers investigate real numbers and problem-solving properties. The publisher links this resource to Common Core standard for seventh grade math, but you may find it a...
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Equation of a Circle
Students write the equation of a circle. In this geometry instructional activity, students check the solution of a coordinate pair by evaluating them. They graph the circle given the equation and radius.
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Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
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Cabri Jr. Perpendicular Bisector of a Chord
Your learners will construct the perpendicular bisector of a chord. They use Cabri Jr. to construct a circle and a perpendicular bisector of a chord. They then measure lengths of the chords and perpendicular bisectors. Learners use...
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The Laws of Sines and Cosines Made Simple!
Students study the law of sine and cosine. For this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
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Navigating by the Numbers
Students observe how math is important in navigation and engineering. They study how surveyors use math and science to calcute, count, measure, label, and indicate distances on a map. They estimate specific distances.
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Applications of Triangles
Students apply the properties of a right triangle. In this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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Trigometric Ratios
This instructional activity requires a worksheet that is not connected. It is integral to the instructional activity.
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Linking Kwanzaa to Technology and History
Seventh graders use the Internet to research the holiday of Kwanzaa. Using the information, they create a brochure to promote the holiday to others. They email the information to a friend to end the lesson.
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Plenty of Pythagoras
Using a twelve foot knotted rope, students form a 3-4-5 right triangle. Following a discussion of observations about the lengths of the sides of the triangle, students use grid paper, scissors and a centimeter ruler to draw and measure...
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How are Trig Ratios Used to Measure Triangle Sides
Young scholars identify the ratios of trig identities. In this geometry lesson, students solve the missing sides and angles of triangles using trig ratios. They relate the graphs and waves to real life scenarios.
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Geometry Shapes Playground Safety
Learners create a new playground design to present to elementary students during Playground safety week. They review basic geometry to use in observing and recording the equipment on a local playground. They research playground safety...
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Plain Figures and Measuring Figures
Students investigate basic geometric concepts. In this geometry lesson, students explore solids through measuring and modeling. This assignment models the importance of understanding concrete objects in geometry.