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Lesson Planet

Perilous Plunge

For Students 9th - 12th Standards
Determine the length of the drop in the flume. Pupils determine the distance a rider travels on one of the highest and steepest water rides. Given the height and the angle of elevation, scholars determine the length of the hypotenuse of...
Lesson Planet

Pentagon's Perimeter

For Students 9th - 12th Standards
Show your class how to use the distance formula to find the perimeter. Using a pentagon on a coordinate plane, pupils calculate the perimeter. They use the coordinates of the vertices of the pentagon to determine the length of sides. Two...
Lesson Planet

Patterns in the 30-60-90 Table

For Students 9th - 12th Standards
Sine and cosine ratios have more in common than just their names—they are complementary to each other. Using a 30-60-90 triangle, pupils create a table of the sine and cosine of the acute angles. The learners describe the relationships...
Lesson Planet

Partitioning a Segment

For Students 9th - 12th Standards
Do you always divide a line segment at the midpoint? Given the coordinates of the two endpoints of a line segment, pupils find the point that partitions the line segment in a particular ratio. They then show and explain their work used...
Lesson Planet

Notebook to Trees

For Students 9th - 12th Standards
How much does recycling save? Given conversion factors, pupils calculate the number of trees that using notebooks made from 50 percent recycled materials would save. The calculations use the average number of notebooks used each year for...
Lesson Planet

Name That Triangle

For Students 9th - 12th Standards
Given a line segment and its perpendicular bisector, pupils visualize a triangle with the endpoints and a point on the perpendicular as its vertices. Learners determine the type of triangle formed and provide a justification for the...
Lesson Planet

Music Club

For Students 9th - 12th Standards
How many months until Kerry's money runs out? Given a scenario about purchasing a subscription to a music club, learners develop an inequality to represent the situation. They use the inequality to calculate the number of months the...
Lesson Planet

Multiplying Polynomials 2

For Students 9th - 12th Standards
Develop a case to show polynomials are closed under multiplication. Pupils multiply two binomials and square another one. By analyzing their results, scholars determine whether their products are polynomials. To complete the activity,...
Lesson Planet

Multiplying Polynomials 1

For Students 9th - 12th Standards
Are products of polynomials always polynomials? The short assessment has learners multiply two pairs of polynomials. Using the results of their multiplications, the scholars determine whether the products are polynomials too. They then...
Lesson Planet

Mudslide

For Students 9th - 12th Standards
Just how much mud is that? Presented with a scenario of a mudslide covering a road, pupils must use mathematical modeling. Scholars estimate the volume of the amount of mud and then determine the mass of the mud covering the road.
Lesson Planet

Pythagorean Theorem Proof

For Students 9th - 12th Standards
We all know the Pythagorean Theorem, but why does it hold for all right triangles? Scholars first show the similarity of triangles when an altitude is drawn on the hypotenuse of a right triangle. Using the similar triangles, they prove...
Lesson Planet

Proving the Vertical Angles Theorem

For Students 9th - 12th Standards
Why are vertical angles congruent? Pupils must identify a pair of congruent vertical angles from a diagrams. Of course, they must prove that they are congruent.
Lesson Planet

Midpoints of Sides of a Quadrilateral

For Students 9th - 12th Standards
Verify a figure by using coordinates. Pupils calculate the coordinates of the midpoints of the sides of a quadrilateral. They then use the coordinates to show the resulting figure is a parallelogram. 
Lesson Planet

Median Concurrence Proof

For Students 9th - 12th Standards
Develop a proof to show what appears to be true in a drawing actually is true. The assessment asks pupils to draw the three medians of a triangle. Learners develop a proof showing that the point of intersection in their drawing is...
Lesson Planet

Marginal and Joint Frequency

For Students 9th - 12th Standards
It is relative how high schoolers eat. The two-question assessment asks to interpret joint and marginal relative frequencies. Using a two-way table about eating preferences of a sample of high schoolers, scholars interpret the given...
Lesson Planet

Pronouns: Personal Pronouns, Demonstrative Pronouns

For Students 4th - 12th Standards
Which do you use: that or this? Which or where? Me or I? Practice pronoun use with a series of activities that focus on personal and demonstrative pronouns.