Interactive
CK-12 Foundation

Factoring by Grouping: Polynomials

For Students 8th - 10th Standards
Investigate the process of factoring polynomials by grouping. A detailed lesson initially has learners follow a set-by-step example. They then drag terms to complete the three steps of a new problem. 
Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 8th - 10th Standards
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
Interactive
CK-12 Foundation

Solving Problems by Factoring: Building a Doghouse

For Students 8th - 10th Standards
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
Interactive
CK-12 Foundation

Negative Exponents

For Students 8th - 10th Standards
Watch the exponent expression do the negative exponent dance! An interactive lesson uses an animation to show how negative exponents become positive. Learners manipulate the expression and then respond to conceptual questions.
Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Tree Shadows

For Students 8th - 12th Standards
Why is that shadow getting longer? Determine the changes in the length of a shadow as the sun changes position in the sky. Individuals use an interactive to calculate the length of a shadow at different times during the day via the...
Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Ladders

For Students 8th - 12th Standards
Young mathematicians to the rescue! Pupils use an interactive to find lengths relating a ladder against a building. The problems involve determining how long a ladder must be to reach a given floor to what floor can a given ladder reach.
Interactive
CK-12 Foundation

Pythagorean Theorem to Classify Triangles: Missing Angles

For Students 8th - 12th Standards
Learn to use the Pythagorean Theorem with non-right triangles. Pupils use the interactive to discover the relationship between the lengths of sides for acute and obtuse triangles. They compare the squares of the sides of the triangles to...
Interactive
CK-12 Foundation

Identifying Sets of Pythagorean Triples: The iPad is a Pythagorean Triple

For Students 8th - 12th Standards
Compare iPad and HDTV aspect ratios. Individuals use the interactive to determine whether the measurements of screens represent a Pythagorean triple. The pupils determine what changes are needed to make a Pythagorean triple.
Interactive
CK-12 Foundation

Lengths of Triangle Sides Using the Pythagorean Theorem: Find the Missing Side

For Students 8th - 12th Standards
What is the relationship between the sides of a right triangle? Learners use an interactive to create models of right triangles and view the relationship between the lengths of the sides. They finish by using the Pythagorean Theorem to...
Interactive
CK-12 Foundation

Identifying Sets of Pythagorean Triples: Matching Problem

For Students 8th - 12th Standards
What sets of whole numbers make up the measures of side lengths in right triangles? Pupils use an interactive triangle to learn about Pythagorean triples. Individuals find missing values in triples and learn more about Pythagorean...
Interactive
CK-12 Foundation

Exponent Properties with Variable Expressions: Size of Solar Tornadoes

For Students 8th - 12th Standards
Exponents may have your pupils' heads spinning after an engaging lesson as they connect properties to tornadoes! Learners compare a distance between cities to the distance across a solar tornado. They use exponent properties to find the...
Interactive
CK-12 Foundation

Exponent Properties with Variable Expressions: Integer Powers

For Students 8th - 12th Standards
Exponent properties can be complicated for learners. A creative lesson seeks to simplify the concept and build a solid understanding. Young mathematicians have the opportunity to create numerous expressions and analyze the simplified...
Interactive
CK-12 Foundation

Scientific Notation: Light Years to Centaurus Constellation

For Students 8th - 12th Standards
Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...
Interactive
CK-12 Foundation

Scientific Notation: Matching Numbers to Notation

For Students 8th - 12th Standards
Explore the conversion of numbers to scientific notation and back again. Learners begin with a matching activity to identify equivalent expressions. Then guiding questions test and extend their understanding.
Activity
Noyce Foundation

Measuring Mammals

For Students K - 12th Standards
Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...
Activity
Noyce Foundation

Digging Dinosaurs

For Students K - 12th Standards
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
Activity
Noyce Foundation

Between the Lines

For Students K - 12th Standards
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
Lesson Plan
Virginia Department of Education

Pythagorean Theorem

For Students 8th Standards
Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.
Lesson Plan
Virginia Department of Education

Transformations

For Students 8th Standards
Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...
Lesson Plan
Virginia Department of Education

Graphs

For Students 8th Standards
Examine different types of graphs as a means for analyzing data. Math scholars identify the type of graph from a series of data displays and then develop questions to match each one. Then, given a scatter plot of height versus age...
Lesson Plan
Virginia Department of Education

Independent and Dependent Variables

For Students 8th Standards
Investigate the relationship between independent and dependent variables. Individuals begin by identifying independent and dependent variables from different problem situations. Then, using specific guidelines, they create posters...
Activity
1
1
Teach Engineering

New Perspectives: Two-Axis Rotation

For Students 6th - 12th Standards
Two-axis rotations ... twice the fun as one-axis rotations! The last installment of a five-part module teaches scholars how to conduct two-axis rotations. They create isometric drawings before and after the rotations.
Activity
1
1
Teach Engineering

Let's Take a Spin: One-Axis Rotation

For Students 6th - 12th Standards
Investigate the effect of one-axis rotations on geometric figures. Scholars learn to use snap cubes and the right-hand rule to draw figures after rotations about the x-, y-, or z-axes. They try their hands at examples created by the...
Activity
1
1
Teach Engineering

Seeing All Sides: Orthographic Drawing

For Students 6th - 12th Standards
How can your draw three-dimensional figures on paper? The lesson shows pupils how to draw orthographic projections of three-dimensional figures composed of cubes. After viewing a PowerPoint presentation, they practice this skill with...