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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 Geometric Means of a Right Triangle - When the Altitude to the Hypotenuse Is Drawn

Students will explore the concept of geometric mean and solve right triangle problems using geometric mean proportions. A TI-Nspire activity demonstrates interactively the geometric mean relationship, and an activity sheet applies the relationship to solve triangle problem. Most discussions of g...
https://education.ti.com/en/activity/detail/exploring-the-geometric-means-of-a-right-triangle--when-the-altitude-to-the-hypotenuse-is-drawn

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

Arc Length and Sectors

Investigate the mathematics of arc length and sectors.
https://education.ti.com/en/activity/detail/arc-length-and-sectors

Congruent or Not?

In this activity, students will investigate whether AAA, SAS, ASA, or SSA relationship guarantee that two triangles are congruent or not. This is an exploratory activity where students will need to know how to change between pages, grab and move points, and measure lengths.
https://education.ti.com/en/activity/detail/congruent-or-not_1

The Ladder Problem Revisited

In this activity students explore the locus of mid-point of the hypotenuse of a fixed length geometrically and algebraically and discover that the median a right triangle is equal to half the length of the hypotenuse. Students then prove this property. The problem: A ladder leans upright against ...
https://education.ti.com/en/activity/detail/the-ladder-problem-revisited

Square Root Spiral and Function Graphs

In this activity, students will investigate the spiral formed by square roots of consecutive numbers, numerical approximations for square roots, the plot of the square root spiral arm lengths, and the graph of the square root function.
https://education.ti.com/en/activity/detail/square-root-spiral-and-function-graphs

Sine. It's the Law.

Students will investigate the ratio of the sine of an angle to the length of the opposite side.
https://education.ti.com/en/activity/detail/sine--its-the-law_1

Lines of Fit

This lesson involves informally fitting a straight line for a given data set that represents mean verbal and mathematics scores on SAT in 2004 across all 50 states and Washington, D.C.
https://education.ti.com/en/activity/detail/lines-of-fit

Fixed Perimeter Rectangles

Investigate side length and area in a rectangle with fixed perimeter.
https://education.ti.com/en/activity/detail/fixed-perimeter-rectangles

Ratios of Similar Triangles

In this activity, students will explore two ways of comparing side lengths of similar triangles. They will calculate ratios and change the triangles to see how the ratio changes. Then they will write proportions using the ratios.
https://education.ti.com/en/activity/detail/ratios-of-similar-triangles_1

Area "FOILed" Again!

Students practice finding rectangular areas with algebraic expressions for the lengths of the sides.
https://education.ti.com/en/activity/detail/area-foiled-again_1

Box Plot Comparison

In this activity, students will create dot plots and box-and-whisker plots of the temperatures of three different cities along the United States' East Coast: Caribou, Maine, Washington, DC, and Tampa, Florida. Students will make dot plots for each city and compare the representations to one ano...
https://education.ti.com/en/activity/detail/box-plot-comparison

Composite Rectangular Figures

Students will find the perimeter and area of a composite rectangular figure. They will explain how to find the measures (lengths) of unknown sides as well as the area of the entire polygon by dividing the figure into smaller rectangular figures.
https://education.ti.com/en/activity/detail/composite-rectangular-figures

Transforming Relationships

In this activity, students will assess the strength of a linear relationship using a residual plot. They will also calculate the correlation coefficient and coefficient of determination to assess the data set. Students will then learn to transform one or two variables in the relationship to creat...
https://education.ti.com/en/activity/detail/transforming-relationships_1

How Much Does Bubble Gum Stretch a Rubber Band?

Students will conduct an experiment where they determine how much various quantities of bubble gum affect the length of a rubber band.
https://education.ti.com/en/activity/detail/how-much-does-bubble-gum-stretch-a-rubber-band

Living on the Edge

Students build a solution to a rather complex problem: Finding the edge length of an octahedron given its volume by solving two simpler problems first.
https://education.ti.com/en/activity/detail/living-on-the-edge_1

Altitude to the Hypotenuse

Explore the relationship between the length of the altitude to the hypotenuse in a right triangle and the lengths of the two segments formed when this altitude intersects the hypotenuse.
https://education.ti.com/en/activity/detail/altitude-to-the-hypotenuse

Waves and Spectrum Exploration

In this lesson, students will study the relationship between wavelength, frequency, and color through an interactive simulation.
https://education.ti.com/en/activity/detail/waves-and-spectrum-exploration

Recipe for a Living World

In this lesson, students will observe the effects of light intensity and wavelength on the rate of photosynthesis in a plant.
https://education.ti.com/en/activity/detail/recipe-for-a-living-world

Parallel Lines Cut by a Transversal

Students will develop and strengthen their knowledge about the angles formed when parallel lines are cut by a transversal. The measurement tool helps them discover the relationships between and among the various angles in the figure. Students will draw parallel lines, draw a transversal, and expl...
https://education.ti.com/en/activity/detail/parallel-lines-cut-by-a-transversal_2

SSS Triangle Congruence

Students will: 1. Construct a triangle and measure its sides and angles. 2. Construct a second triangle with corresponding sides equal in length. 3. Try to alter the properties of their construction by moving the vertices.
https://education.ti.com/en/activity/detail/sss-triangle-congruence

Sail Problem (Parallel Lines & Segment Relationships)

In this activity, students will explore the proportional relationships involved in multiple parallel lines being cut by transversals. These relationships are approached through exploration of a sail design problem, where students are to find the lengths of pieces of fabric along the edge of a s...
https://education.ti.com/en/activity/detail/sail-problem-parallel-lines--segment-relationships