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Exploring Slope, Including a Study of Parallel and Perpendicular Lines

This activity contains 4 problems. The first 2 allow the students to notice relationships of slopes and y-intercepts to the location of lines. The second 2 problems help the students find the relationships between the slopes of parallel and perpendicular lines.
https://education.ti.com/en/activity/detail/activity-with-slope-including-a-study-of-parallel-and-perpendicular-lines

The "Great Pyramid" - Rate of Change

Students will explore different rates of change. Using the TI-Nspire students will be expected to make predictions based upon information that a Pharaoh has given. Students will explore points in a scatter plot of time and height on the building of a pyramid in ancient times. They will calcula...
https://education.ti.com/en/activity/detail/the-great-pyramid--rate-of-change

Rectangles and Parabolas

Students will tackle a traditional problem from the Algebra I curriculum geometrically, numerically, graphically, and algebraically: Sixty feet of fencing is purchased for the grounds crew to fence off a rectangular portion of property for a garden. The owner has made it perfectly clear that h...
https://education.ti.com/en/activity/detail/rectangles-and-parabolas

Slope, Midpoint and Distance

The student will interact with a line segment and will report various conditions on a handout. Positive, negative slope, distance, and midpoints will dynamically calculate as the student drags either endpoint around.
https://education.ti.com/en/activity/detail/slope-midpoint-and-distance

Recursive Sequences

In this activity, students will use the sequence mode of the graphing calculator to generate recursive sequences and then examine the values. They will also write recursive sequence formulas for given sequences.
https://education.ti.com/en/activity/detail/recursive-sequences_1

Area of the Missing Square

In this activity, students will be introduced to an area model for representing a quadratic equation. Students will explore the relationship between the value of b and c, in y = x2 + bx + c, form of the quadratic equation. The relationship will be examined with integer and non-integer values in o...
https://education.ti.com/en/activity/detail/area-of-the-missing-square_1

The Open Box: An Exploration of Maximum Volume

The students will solve the problem of finding the maximum volume of a box cut from an 18 x 24 cm peice of paper in several ways. The student will actually cut out and form several different boxes. The student will fill the boxes with "starburst" candies and then use their TI-Nspires to analyze...
https://education.ti.com/en/activity/detail/the-open-box-an-exploration-of-maximum-volume

Conditional Statements

In this activity, students construct examples of conditional statements such as parallel and perpendicular lines. After completing the conditional statement, they will write the converse, inverse, and contrapositive and determine if each is true.
https://education.ti.com/en/activity/detail/conditional-statements

Pythagorean Proofs

In this activity, students will explore proofs of the Pythagorean Theorem. Students will explore the proof of the Pythagorean Theorem using area of squares, area of triangles and trapezoids, and by dissection. Students will then be asked to apply what they have learned about the Pythagorean Theorem.
https://education.ti.com/en/activity/detail/pythagorean-proofs_1

Points on a Perpendicular Bisector

Students will explore the relationship between a line segment and its perpendicular bisector. The concept of a point that is equidistant from two points is illustrated.
https://education.ti.com/en/activity/detail/points-on-a-perpendicular-bisector