Curated OER
Getting it Right! An Investigation of the Pythagorean Theorem
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the...
Curated OER
Surface Areas of Prisms, Pyramids and Cylinders
Students identify and use appropriate formulas to find surface areas of solid figures, practice using formula sheet to solve textbook problems, construct solid figures of given surface area using TABS+ software program, and use Internet...
EngageNY
Definition of Translation and Three Basic Properties
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
EngageNY
Examples of Dilations
Does it matter how many points to dilate? The resource presents problems of dilating curved figures. Class members find out that not only do they need to dilate several points but the points need to be distributed about the entire curve...
EngageNY
Fundamental Theorem of Similarity (FTS)
How do dilated line segments relate? Lead the class in an activity to determine the relationship between line segments and their dilated images. In the fourth section in a unit of 16, pupils discover the dilated line segments are...
EngageNY
The Graph of a Linear Equation in Two Variables
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
EngageNY
Sampling Variability and the Effect of Sample Size
The 19th installment in a 25-part series builds upon the sampling from the previous unit and takes a larger sample. Pupils compare the dot plots of sample means using two different sample sizes to find which one has the better variability.
Curated OER
The Derivation of (Pi)
Seventh graders groups measure the diameter and circumference of each of the circular objects in the room. They record their results on their student worksheets and access a computer spreadsheet program to compile their results.
Curated OER
Exploring Trigonometric Ratios
Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Curated OER
Exploring Geometric Constructions of Parabolas
Middle schoolers are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to...
EngageNY
More Practice with Box Plots
Don't just think outside of the box — read outside of it! The 15th lesson in a 22-part unit provides pupils more work with box plots. Learners read the box plots to estimate the five-number summary and interpret it within the context....
EngageNY
Understanding Box Plots
Scholars apply the concepts of box plots and dot plots to summarize and describe data distributions. They use the data displays to compare sets of data and determine numerical summaries.
Curated OER
The Luxor Hotel Contract
High schoolers determine the surface area of the Luxor Hotel, using the square feet of the base, volume, and the volume formula. They create a scale model of the triangular/pyramid shaped hotel.
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Noyce Foundation
Which is Bigger?
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.
Curated OER
Getting It Right!
Young scholars construct right triangles, measuring the sides and recording the measurements in spreadsheets. They analyze their measurements for patterns and research the Internet for information on Pythagoras.
Curated OER
Discovering Pi
Sixth graders measure circumference and diameter to the nearest eighth of an inch, record measurements on a spreadsheet, and use the internet to complete a "scavenger hunt" of facts concerning pi.
Curated OER
Homecoming Tickets
Students solve word problems using systems of equation. In this algebra lesson, students use computer and graphing to graph and analyze their solution. They solve system involving inequalities.
Curated OER
Bouncing Ball Experiment
Students collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.
Curated OER
Isosceles Triangles
Young scholars identify the properties of an isosceles triangle. In this geometry instructional activity, students find the midpoint, median and angle bisector of a triangle. They construct angle bisectors and measure missing angles.
Curated OER
Inching Our Way Into The Metric System
Students investigate the Metric System. They discuss the history of the Metric System, convert various units of measurement into the Metric System, and solve problems on a spreadsheet.