EngageNY
Expected Value of a Discrete Random Variable
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
Curated OER
Discovering Pi
Students discover the formula for finding circumference using pi, and demonstrate it.
Curated OER
Picture Frames and Algebra
Students evaluate the area of a picture frame and write algebraic representations. In this algebra lesson, students work in groups to find the area of different picture frames. Students then write algebraic expressions and present...
Curated OER
Shipping Rolled Oats
What better way to start your day than with a box of oatmeal? Or what better way to start your geometry class than by calculating its volume? Eighth graders discover just how practical volume computation can be in business and in breakfast!
Curated OER
In the Path of the Ancients: Unearthing Formulas for Area
Young scholars apply the formulas for the area of parallelograms and triangles. Through guided practice, students discover the correct way to apply the formulas. Working in pairs, they write their own problems featuring the formulas.
Curated OER
Measuring with Mathematics
Eighth graders discover how the change in the dimensions of a shape cause a change in the overall area of the shape, but the perimeter stay the same. They, in groups, go out to the playground and construct large areas using stakes and rope.
Curated OER
Around the Clock
Students discover the relationship between the circumference of a circle and its diameter. They find the length of an arc of a circle.Students use estimation strategies in real-world applications to predict results (i.e., interpolation...
Curated OER
Math and Architectural Design in Relation to Rebuilding The World Trade Center
Young scholars discover building plans and practice reading measurements. In this architectural design instructional activity, students investigate the areas of the specific World Trade Center locations that need to be rebuilt and...
Curated OER
Finite Geometry
Students solve for the area and perimeter of polygons. For this geometry lesson, students identify repeated patterns and create formula to solve problems. They make conjectures and prove hypotheses.
Curated OER
Volume of Pyramids and Cones
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones lesson, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and cones.
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this...
Jordan School District
Picture Frames and Algebra
Middle schoolers create a method for finding the area of a fame for a picture and then transfer their shared methods into algebraic expressions. They develop the algebraic language to communicate and solve problems effectively and...
NASA
Next Generation Spacecraft - Orion
Emergine space engineers discover the area of complex geometric shapes. They find that, just as a spacecraft is composed of many smaller parts, so can polygons be broken into smaller shapes.
Curated OER
Sum of Exterior Angles of Polygons
Have fun calculating angles for different polygons. The class differentiate the relationship between the interior and exterior angles of polygons. They discuss linear pair as it related the polygons and their angles. This is done as they...
Curated OER
Parachutes, Circles and Pi...Oh My!
Students explore different size circles to discover the relationship between diameter and circumference. In this circles and Pi instructional activity, students construct simple parachutes using circle patterns of varying sizes. Students...
Curated OER
Travel Triangles
Students demonstrate and understanding of the three types of angles using triangles and quadrilaterals. In this angles lesson plan, students learn about acute, obtuse and right angles. They use cut-outs to find the areas of triangles and...
Curated OER
Squares and Square Roots
Students find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Students use...
Curated OER
Discriminant Testing
The class works to identify solutions using the discriminant.They use part of the quadratic formula to find the number of solutions a quadratic equation will have. They calculate how-many times the quadratic function will cut the x-axis....
Curated OER
Introduction to Fractals: Geometric Fractals
Learners study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Learners complete worksheets based on Geometric Fractals.
Curated OER
Catch, Tag, and Release
Learners discover how fish tagging is used by marine biologists and fisheries to estimate fish populations. Participating in a simulation, students use estimation to determine the whole population from a small number of items.
Curated OER
Hubble Spies Colliding Asteroids!
In this colliding asteroids activity, students are given the equation to determine the collision time for asteroids. Students use this equation to solve 4 problems including finding the area of a cross-section through the body of an...
Curated OER
Introduction to Conic Sections
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
Curated OER
Volume of Spheres
Students find the volume of spheres. In this geometry lesson, students measure and derive the formula for each shape and solid. They use the correct terminology and units when solving these problems.
EngageNY
When Can We Reverse a Transformation? 1
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...