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EngageNY
Angles Associated with Parallel Lines
Explore angle relationships created by parallel lines and transversals. The 13th lesson of 18 prompts scholars use transparency paper to discover angle relationships related to transversals. Learners find out that these angles pairs are...
EngageNY
Unknown Angle Proofs—Proofs of Known Facts
Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...
Illustrative Mathematics
Find the Missing Angle
This one activity requires young geometers to pull together information they are currently learning with things they have learned previously. Here they rely on understanding something about parallel lines, alternative interior angles,...
Curated OER
Does Your Field Measure Up
Students measure angles using a plane table kit. In this geometry activity, students use trigonometric identities to find the values of the length of a football field.
Curated OER
Positive and Negative Angles and Arcs
To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...
Curated OER
Measuring the Earth
Students use principles of geometry to measure the circumference of the Earth. In this applied geometry lesson, students use mathematics to determine scientific information. They make measurements, calculate the central angle, and...
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
EngageNY
Definition of Reflection and Basic Properties
Discover the results of reflecting an image. Learners use transparency paper to manipulate an image using a reflection in this fourth lesson of 18. They finish by reflecting various images across both vertical and horizontal lines.
Curated OER
Unit Squares and Triangles
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
EngageNY
Graphs of Quadratic Functions
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
Curated OER
Square Graphs
Young scholars identify the different properties of quadrilaterals. In this geometry-lesson, students define parallel sides and diagonals of polygons as they compare to a quadrilateral. They identify the methods to find the angles in a...
EngageNY
Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Curated OER
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
Curated OER
Mapping a Site Using a Coordinate Plane
Learners map their playground as if it were an archeological site. They locate objects on the playground and determine their location using coordinate points. A related lesson is Coordinate Grid: Mapping an Archeological Site.
Curated OER
Line Symmetry and Rotational Symmetry
Fifth graders investigate the symmetry of pattern block shapes. Students, working in groups determine whether each shape has line symmetry, rotational symmetry or both kinds of symmetry. Students determine how many lines of symmetry the...
Curated OER
The Tipping Point
Students rewrite word problems and solve using math. In this word problem lesson, students gather data and observe the data. They relate this process to the scientific method and math. They review their data to be able to answer...
Curated OER
Amazing Consistent Ratios
Young scholars derive the six trigonometric identities. In this trigonometry activity, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig...
Curated OER
Sinusoidal modelling of Canad'a youth cohorts
Students explore the general form of the sine equation. In this trigonometry lesson, students explore the relationship between the changing parameters and the graph of the sine equation. Students use data and a statistical...
Curated OER
Vectors
Students differentiate distance and displacement. For this physics lesson, students use formulas to calculate for displacement. They draw vectors using the grid.
Curated OER
Motion Capture and Analysis
Students capture the serve motion of a tennis player with a digital or video camera. Using transparencies or a software package, analyze the speed, acceleration, displacement and time of the racquet head and ball in the tennis stroke.