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Exploring Circle Equations

Students explore the equation of a circle. They will make the connection with the coordinates of the center of the circle and length of the radius to the corresponding parts of the equation. Then, students apply what they have learned to find the equation of the circles in several circular designs.
https://education.ti.com/en/activity/detail/exploring-circle-equations_1

Exploring the Black Box of Quadrilaterals

The exploration will begin with students dragging the quadrilateral given to them about the screen. Initially, they will be asked to simply identify the quadrilateral's type by sight. This will require simply a visual recognition of the quadrilaterals parallelogram, rectangle, square, rhombus, ...
https://education.ti.com/en/activity/detail/exploring-the-black-box-of-quadrilaterals

Possible Lengths of Sides of Triangles

The first problem in this activity has students explore the varying length of the third side of a triangle when 2 sides are given. They will discover that the length of the third side must be between the difference and the sum of the other 2 sides. The second problem extends this idea of the le...
https://education.ti.com/en/activity/detail/possible-lengths-of-sides-of-triangles

Exploring the Formula for Area of a Triangle: How was it Derived?

This activity is designed to be paperless. The entire lesson is written to be placed in the Nspire. Students will explore how the formula for area of a triangle works and why it works, they will also explore altitudes and medians of triangles.
https://education.ti.com/en/activity/detail/exploring-the-formula-for-area-of-a-triangle-how-was-it-derived

Exploring Special Right Triangles

In this acvtivity, a 30-60-90 degree triangle is constructed for the student to explore. The student is asked to construct a 60 degree angle to give them an understanding of the construction. They will drag the vertex of the triangle and collect sample data. After they collect the data it is us...
https://education.ti.com/en/activity/detail/exploring-special-right-triangles

Properties of Parallel Lines

This activity is designed to incorporate the TI-Nspire Navigator system to provide a paperless activity. Students will investigate the relationships formed when two parallel lines are cut by a transversal. They will make observations from angle measurements. This is a great activity for beginn...
https://education.ti.com/en/activity/detail/properties-of-parallel-lines

Exploring Parallel Lines and Angles

Students will explore the relationships between pairs of angles formed when two parallel lines are cut by a transversal. They will identify special pairs of angles, measure all the angles formed by two parallel lines cut by a transversal, and then look for patterns among the measures.
https://education.ti.com/en/activity/detail/exploring-parallel-lines-and-angles

Can I Make a Triangle?

This TI-Nspire activity is for the Triangle Inequality Theorem. There are 3 problems that contain 3 segments each. The student tries to make triangles with these segments. They compare the lengths of the shortest to the length of the longest to see if the inequality is true or false. For the...
https://education.ti.com/en/activity/detail/can-i-make-a-triangle

Cell Phone Towers

In this activity students explore the locus of a point that is located twice as far from a given point A as it is from given point B. The locus is Apollonius circle. Students discover that the locus is a circle and then prove it. The key property: If a ray bisects an angle of a triangle, then it ...
https://education.ti.com/en/activity/detail/cell-phone-towers

Balancing Act

Students will explore the centriod of a triangle. They will discover that it is the center of gravity. They will balance a cardboard triangle on the end of a pencil. Then they will construct the medians with folds and pencil. After students have seen that the center of gravity is the point ...
https://education.ti.com/en/activity/detail/balancing-act

Circle Geometry: Property of the Segments of Two Chords Intersecting within a Circle

Students will be able to discover the property of two chords segments intersecting within a circle. They will discover the rule about the segments geometrically, numerically, and graphically. Lesson will touch on line of best fit to explore the relationship between the segments of the two chords.
https://education.ti.com/en/activity/detail/circle-geometry-property-of-the-segments-of-two-chords-intersecting-within-a-circle

Angles in Polygons

In this activity, students measure interior angles in convex polygons and find the sum of the angle measures. They make and test a conjecture about the sum of the angle measures in an n-sided polygon. Finally, they measure exterior angles in convex polygons, find their sum, and write a proof for ...
https://education.ti.com/en/activity/detail/angles-in-polygons_1

Approximating Pi -- Archimedes method

Students will be assigned different regular polygons to construct. They will then construct a circumscribed circle, measure diameter, circumference and perimeter. The measurements will be placed into a spreadsheet and the ratios of circumference/diameter and perimeter/diameter will be calculated.
https://education.ti.com/en/activity/detail/approximating-pi--archimedes-method

Minimizing Surface Area of a Cylinder Given a Fixed Volume

Students will discover the relationship between radius and height of a cylinder so that surface area of a cylinder can be minimized while maintaining a fixed volume. This is just an introduction to a project that they will begin after this investigation. Once this is completed, they will redesig...
https://education.ti.com/en/activity/detail/minimizing-surface-area-of-a-cylinder-given-a-fixed-volume

Angles in Polygons

This is a self-contained activity that is designed to incorporate the TI-Nspire Navigator system which provides for a paperless activity that can be easily managed during and after the class period. Students will investigate the relationships of the interior and exterior angles in a polygon. T...
https://education.ti.com/en/activity/detail/angles-in-polygons

Angle Relationships

In this activity, students explore the angle relationships that exist when two lines intersect. They begin by exploring vertical angles and linear pairs, and then expand their study to two lines and a transversal. They will see what relationships hold true when the two lines intersected by a tran...
https://education.ti.com/en/activity/detail/angle-relationships

The Magic of Central Angles

This activity allows students to investigate the relationship between central angles and the arcs they intercept.
https://education.ti.com/en/activity/detail/the-magic-of-central-angles

Supplements and Complements

The attached files contain a supplementary angle and complementary angle for students to explore. They are asked which point changes the measure of the angle. They can move various parts of the construction. The files are designed to be used with your current instructional materials.
https://education.ti.com/en/activity/detail/supplements-and-complements

Tangents to a Circle

Explore properties of tangent lines and how they differ from secant lines.
https://education.ti.com/en/activity/detail/tangents-to-a-circle

Special Segments in Triangles

In this activity, students construct medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They then drag the vertices to see where the intersections of the segments lie in relation to the triangle, and they measure distances to identify relationships. They see that the i...
https://education.ti.com/en/activity/detail/special-segments-in-triangles_1

How far do you live from school?

Prior to this activity students determine how far they live from school and how long it takes them to get to school. They analyze this data using various types of graphs and draw conclusions regarding the relationship between time and distance. They also look at zip codes and explore factors that...
https://education.ti.com/en/activity/detail/how-far-do-you-live-from-school

Supertall Skyscrapers

In this activity, students use their handhelds to measure scale drawings of famous “supertall” skyscrapers. They first check that the Sears Tower is drawn to scale and then use their measurements to calculate that scale. Next, they write and solve proportions to find the heights of other skyscrap...
https://education.ti.com/en/activity/detail/supertall-skyscrapers

Linear Equation Investigation

Students are given a real-life situation (cost of a birthday party) they must create an algebraic equation, table of values, and a scatterplot of the table that is created. They are asked to explain patterns that they observed in each type of representation and also check their accuracy when cre...
https://education.ti.com/en/activity/detail/linear-equation-investigation

Soda Problem: Finding the relationship between Sodium and Sugar

The students will use nutrition label data of certain sodas to create and analyze a scatterplot of the amount of sodium versus the amount of sugar in various soft drinks. They will put the data into lists, create scatterplots, discuss correlations, acquire the line of best fit, and predict other...
https://education.ti.com/en/activity/detail/soda-problem-finding-the-relationship-between-sodium-and-sugar

Quadratic Unit Activity #5: Scavenger Hunt #1

Students are to use whatever technology they have to take pictures or find images that are quadratic. The images are then put in a .tns file for them to find the equations. You may use my file by deleting the images and inserting your own. If you do not have the capability to do that, I have prov...
https://education.ti.com/en/activity/detail/quadratic-unit-activity-5-scavenger-hunt-1