In this unit, students use online pan balances to study equality, order of operations, numerical and variable expressions, and other key algebraic concepts. Lessons focus on balancing shapes to study equality and equivalence; balancing algebraic understanding, to explore simplifying expressions; and balancing algebra, to determine if algebraic expressions are equal.

This lesson plan provides the teacher with an activity for introducing the game Krypto, which helps to develop number sense, computational skill, and an understanding of the order of operations. Players are given five number cards. They combine them, using the standard arithmetic operations, to create a target number. As students investigate the game, they develop strategies for finding solutions efficiently. The plan includes learning objectives, materials needed, questions to ask students, assessment options, extensions, teacher self-reflection questions, and a link to the online version, Primary Krypto, (catalogued separately).

In this math lesson, learners examine pennies and dimes and model subtraction as they listen to a childrenäóťs book ("Alexander Who Used to Be Rich Last Sunday" by Judith Viorst). Learners model amounts to 60 cents with coins, use coin rubbings of pennies and dimes, and make a chart comparing the two coins.

In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations, in which learners make tessellations by translating, rotating, and reflecting the patterns.

In this activity, learners repeat patterns in two and three dimensions to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations that are appropriate for varying grades and levels.

In this two-day lesson plan students collect, display, and analyze data about the eye color of their classmates. On day one, students display the eye color data in a pictograph and discuss what questions can and cannot be answered using this graph. On the second day of the lesson, data from a partner class is used to create a second pictograph. Students then compare these graphs and determine what questions can and cannot be answered using these two graphs. Questions and extension suggestions (including making a circle graph to represent data) are also included in the lesson plan.

In this lesson, students first create factor posters for a variety of different numbers that will be displayed in the classroom to be utilized as a resource throughout the school year. They make discoveries about factors using color tiles, represent their discoveries using graph paper, and display their information on poster board as find factors of an assigned number. The plan includes a list of materials, questions, assessment options, and extensions.

An online, interactive, multimedia math investigation. 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.

This interactive applet allows a student to visually explore the concept of factors by creating different rectangular arrays for a number. The user constructs the array by clicking and dragging on a grid. The length and width of the array are factors of the number. A student can elect an option of a randomly selected number or the student selects his own number between 2 and 50. Exploration questions are included to promote student discovery of mathematical concepts with factors.

Through this four part lesson students develop an understanding of the relationship between area and perimeter. The lesson involves students making human rectangles, exploring geoboard connections, playing perimeter war, and playing Square Off from Calculation Nation. The lesson plan includes all data collection worksheets, games pieces, link to Calculation Nation, extension and assessment ideas.

In this primary grades Illuminations lesson, students identify figures on a football field. They look for both congruent and similar figures, and they consider figures that are the same but that occur in a different orientation because of translation, rotation, or reflection. The lesson includes a student worksheet and discussion questions.

Students can use this interactive Flash applet to practice subitizing and counting groups of objects, to understand the importance of 5 in our base-10 number system, and to learn basic addition facts. In the four included games students construct groups of 5 objects, add groups of objects within 10, and identify and record numbers within 10. Auditory prompts support students with limited reading ability.

This unit of four lessons from NCTM's Illuminations lets students conduct surveys and represent data in a variety of ways. They also find and compare measures of center. The lessons center around a food court, where students create and use menus in a meaningful way. Topics covered include bar graphs, line plots, and pictographs, measures of center, and probability of events. Individual lessons link to related tools where appropriate, and include questions for students, assessment options, and teacher reflection questions.

Using this tool, students build these classic fractals: the Koch snowflake, a fractal tree, a reduced square, and the Sierpinksi triangle. As these shapes grow and change using an iterative process, students can observe patterns in the images created and in the table of values as the fractals progress through several stages.

In this lesson plan students use fraction bars to explore and compare the sizes of fractions. The lesson includes an activity sheet, answer key, guiding questions and prompts, assessment options and extensions, and a link to Fraction Feud, an interactive game (cataloged separately and listed as a related resource).

This applet allows students to individually practice working with relationships among fractions and ways of combining fractions. It is an online, one person game, with immediate feedback on incorrect moves. All instructions for this fun visual game are included and illustrated.

Explore different representations for fractions. This applet allows students to create a fraction,then see it as a visual model, and as percent and decimal equivalents. They can choose the model to be a circle, a rectangle, or a set model. Intended for the young learner, this version restricts the numerator to values from 0 to 20, and the denominator to benchmark values of 1, 2, 4, 5, 8, 10 and 20.

This lesson fosters a student's conceptual fraction sense with proper fractions, improper fractions, and mixed numbers by placing thirty fraction cards in order between given whole numbers on a number line clothesline. Users will visually identify that all proper fractions are grouped between zero and one, and that improper fractions or mixed numbers are all grouped above one. Users also play an estimation game with groups using the same principle. Instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given.

Explore fractions while you help yourself to 1/3 of a chocolate cake and wash it down with 1/2 a glass of orange juice! Create your own fractions using fun interactive objects. Match shapes and numbers to earn stars in the fractions games. Challenge yourself on any level you like. Try to collect lots of stars!

This lesson initiates the development of skills in collecting and recording data. First, learners read "Freckle Juice" by Judy Blume. Then, learners collect data about a partner's face and tally the data from the whole class. They learn the convention for displaying a set of five using tally marks. Then, learners create a pictograph and pose and answer questions about the data set. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.