 Common Core State Standards for Mathematics

Grade(s) 4 resources related to the following standard:
Number and Operations in Base Ten
Use place value understanding and properties of operations to perform multi-digit arithmetic.
5. Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

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This interactive applet for two players helps develop estimation skills. As in the game Connect Four, each player tries to connect four game pieces in a row (horizontally, vertically, or diagonally) before the opponent does. Players earn game pieces by estimating the answers to displayed problems according to the user-set tolerance for accuracy. Users may choose the type of problems (addition, multiplication, and/or percentage) and the difficulty level. The game may be played with no time limit, or with a limit set by the users.
Activity, Game, Interactive Media
Grade Level: 3, 4, 5, 6+
Leonardo Fibonacci's multiplication algorithm arrays the digits of multiplicands along a rectangular lattice. Read an explanation of the technique, see a few worked examples, and watch the method in action with a Java applet. Clicking a little off-center of any digit of a multiplicand (left to increase, right to decrease) instantly changes resulting products and sums throughout the lattice.
Demonstration, Interactive Media
This Java applet offers an interactive version of the standard "long" multiplication algorithm. Click any digit of either multiplicand slightly off-center (left to increase, right to decrease) and watch the corresponding products change accordingly. In addition to check-boxes to toggle the appearance of trailing zeros and other display choices, the applet also lets you change bases -- from base 3 to base 36.
Demonstration, Interactive Media
This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Four student will know, understand and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teach the Mathematics Common Core (Standard Course of Study).
Reference Materials
This lesson helps students develop conceptual understanding of 2-digit multiplication. Students decompose 2-digit numbers, model area representations using the distributive property and partial product arrays, and carry out paper-and-pencil calculations from the arrays. Included are student activity sheets, a link to a supporting online applet, and extension suggestions.
Activity, Lesson Plans Resource is part of a PD collection
This free iOS app uses virtual base-10 blocks to help students develop their understanding of place value and computation strategies with multi-digit numbers. Students use the number pieces to represent multi-digit numbers, regroup, add, subtract, multiply, and divide.
Interactive Media, Mobile App
Grade Level: K, 1, 2, 3, 4, 5
This interactive Java applet, based on the familiar game Connect Four, gives students practice in applying order of operations. Two players take turns evaluating expressions involving the four basic operations (addition, subtraction, multiplication and division). If correct, the player places a black or red checker on the board with the goal of connecting four in a row ( horizontally, vertically, or diagonally) before the opponent does. Players choose from four levels of difficulty; they can adjust the timing feature and whether to involve exponents and/or parentheses.
Activity, Game, Interactive Media
Grade Level: 3, 4, 5, 6+ Resource is part of a PD collection