Create your own shapes using colorful blocks and explore the relationship between perimeter and area. Compare the area and perimeter of two shapes side-by-side. Challenge yourself in the game screen to build shapes or find the area of funky figures. Try to collect lots of stars!
Material Type: Simulation
A web page and interactive applet showing the ways to calculate the area of a parallelogram. The user can drag the vertices of the parallelogram and the other points change automatically to ensure it remains a parallelogram. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area, which is continuously recomputed and displayed. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the rhombus is reshaped with the mouse. A companion page is http://www.mathopenref.com/parallelogram.html showing the definition and properties of a parallelogram Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
Material Type: Reading, Simulation
An interactive applet and associated web page that show the relationship between the perimeter and area of a triangle. It shows that a triangle with a constant perimeter does NOT have a constant area. The applet has a triangle with one vertex draggable and a constant perimeter. As you drag the vertex, it is clear that the area varies, even though the perimeter is constant. Optionally, you can see the path traced by the dragged vertex and see that it forms an ellipse. A link takes you to a page where this effect is exploited to construct an ellipse with string and pins. The applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
Material Type: Reading, Simulation
A web page and interactive applet showing the ways to calculate the area of a trapezoid. The user can drag the vertices of the trapezoid and the other points change automatically to ensure it remains a trapezoid. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the trapezoid is reshaped with the mouse. A companion page is http://www.mathopenref.com/trapezoid.html showing the definition and properties of a trapezoid. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
Material Type: Reading, Simulation
An interactive applet and associated web page that calculate the area of a triangle using the formula method in coordinate geometry. The applet has a triangle with draggable vertices. As you drag them the triangle's area is recalculated from the vertex coordinates using the formula. The grid and coordinates can be turned on and off. The area calculation can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the method for determining area using the formula method, a worked example and has links to other pages relating to coordinate geometry. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
Material Type: Reading, Simulation
A+ Click is an interactive collection of more than 3700 math problems and answers for K-1 K-12 school program. It defines the personal level of math knowledge. You move up into the next level if you give 5 correct answers in a row. Practice makes perfect.
Material Type: Activity/Lab, Assessment, Game, Lecture Notes
CK-12 Foundation's Middle School Math Grade 6 Flexbook covers the fundamentals of fractions, decimals, and geometry. Also explored are units of measurement, graphing concepts, and strategies for utilizing the book's content in practical situations.
Material Type: Textbook
Students are asked to form a persuasive argument using landmarks proving which pair of sneakers they should purchase.
Material Type: Homework/Assignment
Students explore how adjusting the bin width or adding, deleting, or moving data values affects a histogram.Students use the Histogram interactive to explore how the bin width can affect how the data are displayed and interpreted. Students also explore how adjusting the line plot affects the histogram.Key ConceptsAs students learned in the last lesson, a histogram shows data in intervals. It shows how much data is in each bin, but it does not show individual data. In this lesson, students will see that the same histogram can be made with different sets of data. Students will also see that the bin width can greatly affect how the histogram looks.Goals and Learning ObjectivesExplore what the shape of the histogram tells us about the data set and how the bin width affects the shape of the histogram.Clarify similarities and differences between histograms and line plots.Compare a line plot and histogram for the same set of data.
Material Type: Lesson Plan
In this seminar, you will learn about variables and how they are used in mathematical expressions. You will also learn what it means to be a like term and how to combine like terms. You will pull variables, expressions, and like terms together so that you can apply them moving forward.StandardsCC.2.2.HS.D.1Interpret the structure of expressions to represent a quantity in terms of its context.CC.2.2.HS.D.2Write expressions in equivalent forms to solve problems.
Material Type: Lesson Plan
This short video and interactive assessment activity is designed to teach fourth graders about greatest common factor.
Material Type: Assessment, Interactive, Lecture
This short video and interactive assessment activity is designed to teach third graders about identifying the multiples of a given number.
Material Type: Assessment, Interactive, Lecture
Students will learn to use the distributive property to rewrite each sum as a product. Visual representations of the areas of rectangles and their respective measurements (length and width) will be used.
Material Type: Lesson Plan
Lesson OverviewStudents revise their packing plans based on teacher feedback and then take a quiz.Students will use their knowledge of volume, area, and linear measurements to solve problems. They will draw diagrams to help them solve a problem and track and review their choice of problem-solving strategies.Key ConceptsConcepts from previous lessons are integrated into this assessment task: finding the volume of rectangular prisms. Students apply their knowledge, review their work, and make revisions based on feedback from the teacher and their peers. This process creates a deeper understanding of the concepts.Goals and Learning ObjectivesApply your knowledge of the volume of rectangular prisms.Track and review your choice of strategy when problem-solving.
Material Type: Lesson Plan
Gallery OverviewStudents who are caught up can spend this time working on gallery problems while you work with other students in study groups. Students have a choice of problems, and they can work on however many problems time permits.Gallery DescriptionsFinding the Missing BaseStudents will find the length of one of the bases of a trapezoid given the length of the other base, the height, and the area.Utah UnitsStudents will estimate the area of Utah and then estimate the area of the United States in “Utah” units.Growing RectanglesStudents know how to find the lengths of the sides of polygons on the coordinate plane. They will use this knowledge to find the area of each rectangle in a series of growing rectangles.The Volumes of SolidsStudents will find the volume of solids that are built out of cubes. They will also build their own solid out of cubes and have their partner find its volume.From 3-D to 2-D and BackStudents will investigate the net of a milk carton.Geometry of GardeningStudents will use their knowledge of perimeter and area to design a garden on grid paper.Net of a Number CubeStudents will draw a net of a number cube.Dividing ParallelogramsStudents will prove or disprove Emma's statement about dividing parallelograms into four triangles, all with the same area.Area of TrianglesStudents will find the areas of two different triangles on the coordinate plane.Placing a RugStudents will place a square rug exactly in the middle of a floor and find the number of square feet not covered by the rug.
Material Type: Lesson Plan
