Embedded Files
Illuminations
http://illuminations.nctm.org/
- Adjustable Spinner Use this tool to create a spinner to examine experimental and theoretical outcomes.
- Geometric Solids This tool allows you to manipulate various geometric solids and investigate their properties.
- Factor Game The Factor Game engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through an analysis of game strategies and introduced to the definitions of prime and composite numbers.
- Fraction Game This applet allows students to individually practice working with relationships among fractions and ways of combining fractions.
- Coin Box Learn how to count, collect, exchange, and make change for coins by manipulating coins using an array representation.
- Product Game This applet is the Product Game: a fun, interactive game that exercises your skill with factors and multiples.
- Bobbie Bear Use counting strategies to make outfits for Bobbie Bear with different colored shirts and pants.
- Pan Balance - Numbers Use this tool to strengthen understanding and computation of numerical expressions and equality using a balance scale.
- Pan Balance - Shapes Use this tool to build up to algebraic thinking by exploring how to balance shapes of unknown weight.
- Pan Balance - Expressions Using this interactive tool, you can practice arithmetic and algebraic skills, and investigate the important concept of equivalence.
- Five Frame & Ten Frame The four games that can be played with this applet help to develop counting and addition skills.
- Concentration Play a matching game with different representations of equivalent items.
TenMarks
Untangle robust math problems for all ages; plenty of teaching support.
NRICH aims to:
- Enrich the experience of the mathematics curriculum for all learners
- Offer challenging and engaging activities
- Develop mathematical thinking and problem-solving skills
- Show rich mathematics in meaningful contexts
For teachers of mathematics, we offer FREE enrichment material (Problems, Articles and Games) for all ages that really can help to inspire and engage learners and embed RICH tasks into everyday practice.
Illustrative Mathematics
First Grade Task
Operations and Algebraic Thinking
Number and Operations Base Ten
Flip Books
These resources were developed by the Kansas Association of Teachers of Mathematics (KATM) and make links between the mathematical practices and the content of the Kansas Common Core Standards. They include instructional strategies and examples for each standard at each grade level.
The National Library of Virtual Manipulatives (NLVM) is an NSF supported project that began in 1999 to develop a library of uniquely interactive, web-based virtual manipulatives or concept tutorials, mostly in the form of Java applets, for mathematics instruction (K-12 emphasis). The project includes dissemination and extensive internal and external evaluation.
K-5 Math Teaching Resources
This site provides an extensive collection of free resources, math games, and hands-on math activities aligned with the Common Core State Standards for Mathematics. Printables are suitable for use in math centers, small group or whole class settings. Instructions for each activity are presented in large print on a task card in child-friendly language to enable students to work on tasks independently after a brief introduction to the task. All files are in PDF format and can be accessed using Adobe Reader.
Thinking Blocks
Thinking Blocks teaches students how to model and solve word problems.
App: Thinking Blocks Addition
App: Thinking Blocks Multiplication
App: Thinking Blocks Fractions
The Math Learning Center Web apps
Number Pieces helps students develop a deeper understanding of place value while building their computation skills with multi-digit numbers. Students use the number pieces to represent multi-digit numbers, regroup, add, subtract, multiply and divide.
App: Number Pieces Basic; Number Pieces
Math Vocabulary Cards help students deepen their conceptual understanding of key terms in mathematics. Each card features three sections: a math term, a representative example or model, and a concise definition. Each section can be hidden or revealed providing multiple options for practice. Vocabulary cards can be selected individually or by category.
App: Math Vocabulary Cards
Number Line helps student develop a deeper understanding of place value while building their computation skills with multi-digit numbers. Students use the pieces to represent multi-digit numbers, regroup, add, multiply and divide.
App: Number Line
Number Frames help students structure numbers to five, ten, twenty, and one hundred. Students use the frames to count, represent, compare, and compute with numbers in a particular range.
The frames help students see quantities as equal groups of other quantities and in relation to benchmark quantities. This helps primary students move away from one-by-one counting toward more efficient ways of counting and computing. As students advance, custom frames can be constructed to help visualize factors, products, fractional parts and more.
App: Number Frames
Lessons
The rules of Krypto are amazingly simple — combine five numbers using the standard arithmetic operations to create a target number. Finding a solution to one of the more than 3 million possible combinations can be quite a challenge, but students love it. And you’ll love that the game helps to develop number sense, computational skill, and an understanding of the order of operations.
When students play the Factor Trail game, they have to identify the factors of a number to earn points. Built into this game is cooperative learning — students check one another's work before points are awarded. The score sheet used for this game provides a built-in assessment tool that teachers can use to check their students' understanding.
Students decompose 2-digit numbers, model area representations using the distributive property and partial product arrays, and align paper-and-pencil calculations with the arrays. The lessons provide conceptual understanding of what occurs in a 2-digit multiplication problem. Partial product models serve as transitions to understanding the standard multiplication algorithm.
Using the online game Deep Sea Duel, students play a card game against Okta. The objective is to choose cards so that some subset of three cards within their hand has a particular sum. Students will play several variations of the game, attempt to identify a winning strategy, and compare the game to other games that they know. This lesson plan is also available in Spanish.
This lesson is based on the article, "What Is the Name of This Game?" by John Mahoney, which appeared in the October 2005 issue of Mathematics Teaching in the Middle School, Volume 11, Number 3, pp. 150–154.
Students are encouraged to discover all of the possible combinations for outfits consisting of shirts and shorts. Students apply problem-solving skills (including elimination and collection of organized data) to draw their conclusions.
This lesson encourages students to explore another model of multiplication, the balance beam, and another relationship, the inverse of multiplication. This exploration leads naturally into representing multiplication facts in equation form. In addition to extending their understandings of the concept of multiplication, students begin to practice the multiplication facts by playing the Product Game.
In this lesson, students apply their knowledge of addition equations to create number sentences using an electronic balance tool.
By playing card games and using the The Product Game applet, students practice the multiplication facts. As students continue to master their facts, the teacher closely monitors their progress.
Students create multiplication stories where one factor is 6 or 7, and play a multiplication game to help them master their multiplication facts.
Coin Blocks: Counting Money with Value-Sized Blocks
Students use coin blocks, a concrete representation of coins, to compose and decompose numbers by counting money. They also use an interactive tool to practice the same skills pictorially.
Students construct sets of up to nine items, write the numeral 9, and record nine on a chart. They also play a game that requires identifying sets of up to nine objects.
Students explore the number 8. They make and decompose sets of eight, write the numeral 8, and compare sets of up to eight objects.
Students construct and identify sets of seven objects. They compare sets of up to seven items, and record a set of seven in chart form.
In this lesson, students construct sets of six, compare them with sets of a size up to six objects, and write the numeral 6. They also show a set of six on a "10" Frame and on a recording chart.
Students construct sets of numbers up to 10, write the numerals up to 10, and count up to 10 rationally. They use ten frames and also make bean sticks.
Students continue to explore geometric concepts by modeling on the geoboard. Communication is the Process Standard emphasized in this lesson.
Students review this unit by creating, decomposing, and comparing sets of zero to 10 objects and by writing the cardinal number for each set.
Watch Know Learn
To provide a world-class, online domain on which educators can store, categorize, and rate the best, K – 12 educational videos on the Internet today. And to make this service FREE so teachers, parents and students everywhere may have access to those videos.
Shodor
Interactivate is a set of free, online course ware for exploration in science and mathematics. It is comprised of activities, lessons, and discussions. Appropriate for 3rd grade and up.
Geoboard
Geoboard is a tool for exploring a variety of mathematical topics introduced in grades K-8. Learners stretch bands around pegs to form line segments and polygons and make discoveries about perimeter, area, angles, fractions, and more.
App Geoboard
Number Rack
Number Rack facilitates the natural development of children’s number sense. Rows of colored beads encourage learners to think in groups of fives and tens, helping them to explore and discover a variety of addition and subtraction strategies.
App Number Rack
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