EngageNY
Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
EngageNY
Thales’ Theorem
Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...
Curated OER
Angles and Arcs
Students identify the relationship between angles and arcs. In this geometry lesson, students rotate and move the circle around to create different arcs on the TI-Navigator. They differentiate between major and minor arcs.
Curated OER
Circles and Angles
Students identify tangents, chords and secants. In this geometry lesson, students graph circles and identify angles created by secant lines, tangent lines and chords.
Curated OER
Circle Packing
Students identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
Curated OER
Circle Conjectures
Students are given diagrams and are asked to make a conjecture. In this geometry instructional activity, students make conjectures of circles. They complete a lab activity to reinforce making conjectures. The first activity addresses a...
Texas Instruments
Cabri Jr. Inscribed and Central Angles
Learners will differentiate between inscribed and central angles in this geometry lesson plan. They answer questions dealing with circles as they relate to inscribed triangles and angles. This assignment includes a printable worksheet.
Curated OER
Properties of Arcs, Lengths and Chords
Students differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
Curated OER
Solving Intercepted Arcs
Students investigate circles and its arcs. In this geometry lesson, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
EngageNY
Geometry Module 5: End-of-Module Assessment
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
Curated OER
Inscribed Quadrilaterals and Parallelograms
Learners differentiate between inscribed quadrilaterals and parallelograms. In this geometry lesson, students identify the shaped of the polygons when it is inscribed inside of a circle. They calculate the missing angles of the inscribed...
Curated OER
Solving Problems Involving Chords, Radii, Tangents, Secants and Arcs within the Same Circle
Tenth graders apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations.
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Curated OER
Inequalities
In this inequalities worksheet, 10th graders solve and complete 23 various types of problems. First, they find the area of an inscribed square in a circle shown. Then, students find the total area of the inscribed polygon and deduce...
Curated OER
Right Triangles
In this right triangles worksheet, 10th graders solve and complete 5 various types of problems. First, they solve each of the triangles shown and find the area of each triangle. Then, students find the perimeter and area of the regular...
Curated OER
Area of Sectors
In this area of sectors worksheet, students find the area of a given sector, area of inscribed figures, and area of shaded regions. This two-page worksheet contains 20 problems. An answer sheet is provided on the third page.
Curated OER
Incenter of a Triangle
Tenth graders find the incenter of a triangle. For this geometry lesson, 10th graders define the way to create an incenter with an angle bisector. They differentiate between incenter and incircle.
Curated OER
Connecting Area Formulas Produces a Beautiful Formula
In this math worksheet, students find the area of the triangle using the formula of 1/2 bh. Then they find the area using an alternative method.
Curated OER
Plain Figures and Measuring Figures
Students investigate basic geometric concepts. In this geometry activity, students explore solids through measuring and modeling. This assignment models the importance of understanding concrete objects in geometry.
Curated OER
Word Problems
In this geometry learning exercise, students read a scenario and translate it using geometric concepts to find their answers. There are 15 questions with an answer key.
Curated OER
Putting the 'pi' in Pumpkin Pie
Students use geometric formulas to divide a pumpkin pie. In this geometric formulas lesson, students review equations for area and circumference of a circle and divide a pumpkin pie to practice the formulas. Students use the Pythagorean...
Curated OER
Geometry: Basic Constructions
In this geometry worksheet, 10th graders use a straightedge and a compass to construct congruent segments and angles, bisect a segment and an angle, construct perpendicular and parallel lines, construct tangents, circumscribe a circle...
Curated OER
Special Segments is a Triangle
In this geometry worksheet, 10th graders examine the special segments that occur in a triangle. The three page worksheet contains twenty-five problems. Answers are not included.