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NSDL Math Common Core

The NSDL Math Common Core collection provides quick and easy access to high-quality math resources that have been related to one or more standard statements within the Math Common Core. These resources are selected from the larger NSDL collection and other trusted providers, and organized by grade level and domain area.

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Algebra Balance Scales
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This online manipulative features a virtual balance scale. It offers students an experimental way to learn about solving linear equations involving negative or positive numbers. The applet presents an equation for the student to illustrate by balancing the scale using blue blocks for positive units and variables and red balloons for negative units and variables. The student then works with the arithmetic operations to solve the equation. A record of the steps taken by the student is shown on the screen and on the scale. The applet reinforces the idea that what is done to one side of an equation must be done to the other side to maintain balance. Instructions for using the applet, background information about solving equations, and teaching suggestions are included.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Interactive
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Date Added:
03/31/2003
Areas, Volumes, Surface Areas
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This printable sheet is an excellent reference tool for geometry students. It details the formulae for finding the area, volume, and surface area for a variety of two- and three-dimensional shapes and includes an illustration of each that shows which measurements are important to the calculation. Presented are: areas of polygons (square, rectangle, parallelogram, trapezoid, circle, ellipse, triangles); volumes of polyhedra (cube, rectangular prism, irregular prism, cylinder, pyramid, cone, sphere, ellipsoid); and surface area (cube, prism, sphere).

Subject:
Mathematics
Material Type:
Student Guide
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
David Manura
Date Added:
10/18/2002
Beginning Fractions
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For the learner just being introduced to fractions, this site is an excellent resource. It contain a very basic explanation of what a fraction is and a game for students to practice naming the fraction presented. The game can also be manipulated to have a time limit, to award time for each correct answer, and to time how fast students can get 20 more answers right than wrong.

Subject:
Mathematics
Material Type:
Activity/Lab
Game
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
J.C. Banfill
Date Added:
12/12/2007
Conversion Word Problems
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This ready-to-print work sheet presents students with three problems, and in order to solve them, students must convert between smaller and larger units and use all four mathematical operations. There are a total of seven questions involving these three problems, and the conversions which students must undertake involve dollars and cents, pounds and ounces, grams and kilograms, and centimeters and meters.

Subject:
Mathematics
Material Type:
Lecture Notes
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Nancy Molik
Date Added:
03/31/2004
Cut-Outs, Nets
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This interactive applet allows students to explore cut-outs of polyhedra, including a tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The applet begins with each shape "unfolded" to its two-dimensional form. The slider bar allows students to fold the shape into its three-dimensional form. Students can experiment by folding the sides independently and rotating the shape. This applet can help students understand concepts of surface area and decomposing 3D shapes into 2D elements.

Subject:
Mathematics
Material Type:
Interactive
Lecture Notes
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Peter Boon
Date Added:
03/31/2004
Cylinders and Prisms
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In this lesson, students will examine cylinders and prisms, define them, and measure their surface areas and volumes. The site has clear illustrations, translating the shapes to 2-dimensional figures, and practice problems for educators to solve with the students. There are two example problems at the end that students may tackle alone to solidify their understanding.

Subject:
Mathematics
Algebra
Material Type:
Lecture Notes
Student Guide
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Marshall Ransom
Date Added:
03/31/2005
Dividing Fractions by Fractions
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This site gives a description of how to divide fractions and gives a sample problem in which the denominator fraction is inverted, the numerators and denominators are multiplied, and the resulting fraction is simplified. It also includes the same problem solved by 'canceling' the fractions to simplify, and completing the process. There is also a game for students to practice their new skill of dividing and simplifying fractions.

Subject:
Mathematics
Material Type:
Activity/Lab
Game
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
J.C. Banfill
Date Added:
12/12/2007
Estimate!
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This interactive game asks students to estimate an answer to various problems. While the site does not teach students individual strategies for estimating, it allows them to practice and come up with their own. Answers are considered correct when they are within 10% of the actual answer.

Subject:
Mathematics
Material Type:
Interactive
Lecture Notes
Simulation
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Michiel Doorman
Date Added:
03/31/2004
Fit by Design or Design to Fit
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This applied mathematics lesson features hands-on activities supporting the NCTM Measurement Standard, and can be used to introduce middle school students to a bit of real-world measurement, trigonometry, and geometry through mechanical drafting. All that is needed are measurement tools ‰ŰÓ carpenter‰ŰŞs square, a piece of string, and a protractor. In it, students read an introduction about the importance and various uses of applied trigonometry and practice by examining the classroom and identifying which objects would have been designed by a mechanical drafter. They then discuss which aspects of the object would need to be measured and how those measurements would influence the design. Students practice by placing a string across the carpenter's square and use the Pythagorean Theorem to perform calculations on the right triangles produced. There are a series of extra activities in which students measure classroom objects to solve practical problems.

Subject:
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Van McPhail
Date Added:
03/31/2008
Fixed Areas
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In this activity, students explore area and perimeter, the difference between them, and how to calculate them. As an introductory activity, students are given 12 tiles and asked to design a rectangle from them and uncover the definitions of area and perimeter. Then, students are given 36 tiles and asked to create as many rectangles as possible, observing the dimensions, area, and perimeter of each. A worksheet is provided, along with centimeter and half-centimeter grid paper.

Subject:
Mathematics
Material Type:
Activity/Lab
Lecture Notes
Lesson Plan
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
John Van de Walle
Lou Ann H. Lovin
Date Added:
03/31/2006
Floor Plan Your Classroom
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This resource guides the learner, step-by-step, in creating a scale floor plan of a classroom. The instructions include sample drawings of student work. The activity includes: sketching a map of the classroom; measuring the room and calculating the area and perimeter; creating a scale drawing; and drafting a CAD (computer-aided design) floor plan. The lesson provides students with hands-on, real world practice solving problems of measurement, ratio, and scale.

Subject:
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Date Added:
03/31/2003
Graphing Linear Equations
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From Elizabeth Stapel at Purplemath, this module helps students understand how to graph linear equations by making a neat T-chart, finding plot points, plotting points, and drawing the line. There are four pages in this module with clear, systematically presented, step-by-step instructions and plenty of examples and illustrations to help students along.

Subject:
Mathematics
Material Type:
Lesson Plan
Unit of Study
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Elizabeth Stapel
Date Added:
04/14/2000
Hit the Safe
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This game presents students with a number and asks them to find all the factors (divisors) of it between 1-10. There are two modes: the first uses numbers 1-100 and the second uses 101-999. Students then select which numbers are factors and try to open the safe. If they are correct, the safe will open. If they are incorrect, the simulation gives a hint as to how many they have correct and two more tries. There is a calculator built in to the site for students to use to help solve each problem.

Subject:
Mathematics
Material Type:
Interactive
Lecture Notes
Simulation
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Frans Moerlands
Date Added:
03/31/2004
Houses with Height Numbers
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This applet allows students to freely build shapes by stacking cubes and "explore the relation between a building (house) consisting of cubes and the height numbers representing the height of the different parts of the building." This exercise helps students visualize and understand the concepts of volume and three-dimensional, measurable space.

Subject:
Mathematics
Material Type:
Interactive
Simulation
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Jan van den Brink
Peter Boon
Date Added:
03/31/2004
Identifying Equivalent Fractions
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This site helps students understand how to identify equivalent fractions by explaining what equivalent fractions are and how to compare two fractions to see if they are equivalent. There is also a list of fractions equivalent to 1/2, 1/3, 1/4, 1/5, and 2/5 so students can begin to see the pattern that emerges. Finally, the site presents an interactive game in which students can practice by naming the equivalent fraction to a given fraction.

Subject:
Mathematics
Material Type:
Activity/Lab
Game
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
J.C. Banfill
Date Added:
12/12/2007
Inchworm Measurement
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In this activity, students are introduced to the concept of measuring length. Students estimate and then use inchworm measuring tools to measure the lengths of 10 classroom objects, and record their estimations and measurements on a worksheet. As an introduction, students may also read "Inch by Inch" by Leo Lionni. This lesson includes a printable student worksheet in PDF format.

Subject:
Mathematics
Material Type:
Activity/Lab
Lecture Notes
Lesson Plan
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Holly Barron
Date Added:
01/30/2001
An Interactive Proof of Pythagoras' Theorem
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This interactive simulation, students are able to visualize a proof of the Pythagorean Theorem by choosing a right triangle, and watching as a2 + b2 = c2 is proved. This is an excellent introduction for students to not only understand the formula, but why the formula works to measure the sides of right triangles.

Subject:
Mathematics
Material Type:
Interactive
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Jim Morey
Date Added:
03/31/1995
An Introduction To Volume
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This lesson is designed to teach students about volume using a variety of containers. In it, students discover volume by learning its definition, counting cubic units, using multiplication, and discovering the formula for finding volume. They also apply this skill to real-world problems by calculating the cost-per-unit on different brands of popcorn and comparing them to discover which brand is most cost effective.

Subject:
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Woods, Linda James
Date Added:
03/21/1999
An Introduction to Area and Perimeter
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This lesson for is designed to use a phenomenological approach to teach students to measure, record, discover, and apply rules for area and perimeter. In it, students cut out tiles and use them to create rectangles. Through this, students discover what area measurement is - through counting tiles and then through mathematical calculation - and learn the vocabulary of area and perimeter measurement.

Subject:
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Edwina R. Justice
Date Added:
03/21/1999
Linear Equations in One Variable
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This lesson introduces students to linear equations in one variable; shows how to solve them using addition, subtraction, multiplication, and division properties of equalities; and allows them to determine if a value is a solution, if there are infinitely many solutions, or no solution at all. The site contains an explanation of equations and linear equations, how to solve equations in general, and a strategy for solving linear equations. The lesson also explains contradiction (an equation with no solution) and identity (an equation with infinite solutions). There are five practice problems at the end for students to test their knowledge with links to answers and explanations of how those answers were found.

Subject:
Mathematics
Algebra
Material Type:
Lecture Notes
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Jennifer Puckett
Kim Seward
Date Added:
03/31/2008