Operations and Algebraic Thinking

Add and subtract within 20.

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Resource | Resource Type Grade Level | Rating |
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In this interactive Flash game, players must balance the scale by having the same sum on both sides. Numbers are presented on coconuts and students must figure how to group them to equalize the balance. | Game, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

This web page provides instructions for a basic form of Nim, an ancient game that develops strategic thinking. Starting with a total of 7 counters, two players take turns removing one or two at a time. The player who takes the last counter wins. The game of Nim is very adaptable. This page includes questions that encourage players to generalize a winning strategy as well as a link to another page describing several of variations. | Activity, Game Grade Level: 1, 2, 3, 4, 5 | |

This problem provides an opportunity for students to practice counting and to represent and record findings in different ways: "Noah saw 12 legs walk by into the Ark. How many creatures did he see?" Multiple solution possibilities encourage students to be systematic in their strategies. The Teachers' Notes page offers suggestions for implementation, discussion questions, and an idea for extension. | Activity Grade Level: K, 1, 2, 3 | |

This open-ended interactive Flash applet helps students develop operation and number sense, facility with number facts, and understanding of equations. Users designate single-digit whole numbers or integers and operations on both sides of an equation and test for balance. Users can enter numbers by using the keyboard or arrow buttons or by dragging number tiles. Each element can be hidden and a seesaw may be toggled on/off. Teachers may use this applet to lead instruction, or students may use it independently to perform specific investigations or explore freely. Supplementary documents include Objectives, containing teaching suggestions, and a student recording sheet. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

This activity promotes algebraic thinking of equivalency as well as giving children practice in addition and subtraction. Students see weights on each side of a balance, and are asked to find ways they can hang a weight or two weights to balance the bar. An interactive balance allows student to explore the different ways weights can be added to balance or equalize the bars. A more challenging problem,"Getting the Balance" is cataloged separately. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, ideas for extension and support. | Activity, Interactive Media Grade Level: 1, 2 | |

In this six lesson unit, students recognize and explore the relationships among pennies, nickels, dimes, and quarters. They estimate and count sets of mixed coins, create equivalent sets, write story problems that involve money, and use coins to make patterns. Within the unit there is a link to US Mint. http://www.usmint.gov/kids/teachers/ | Unit of Instruction Grade Level: Pre-K, K, 1, 2 | |

This Flash applet generates number fact questions for the game of Bingo. Each of the six levels focuses on a different range of number facts (addition, subtraction, and multiplication), which are displayed one at a time in a variety of question formats. The applet is intended for use in a class/group setting with a projector or interactive whiteboard. Downloadable cards for each level are available from the menu page. At any time in a game the "number facts so far" feature will reveal all the questions presented in the current round to facilitate review or verification of a winning board. | Activity, Game, Interactive Media Grade Level: 2, 3, 4, 5 | |

This applet demonstrates operations with whole numbers on a number line. The student selects an operation and the applet represents an example. It helps students understand the commutativity of multiplication, remainders in division, inverse operations, and the relationships between operations. | Activity, Interactive Media Grade Level: K, 1, 2, 3 | |

Teachers and students can use this interactive Java applet to model and carry out arithmetic operations on the number line. Users manipulate the size, position, and direction of color bars to represent addition, subtraction, multiplication and division with whole numbers, integers and fractions. Options include the ability to zoom in and out, change the colors of the bars, and adjust the step size of the bars and number line increments. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

This interactive applet gives students practice with addition and subtraction of whole numbers and integers. Users drag the given number arrows onto a number line and choose whether to add or subtract them in order to arrive at the given target number. After all arrows are placed in a correct arrangement, a user drags numbers and operations signs to create a number sentence (equation) that represents the arrow sequence. | Activity, Game, Interactive Media Grade Level: 1, 2, 3, 4, 5 |