In this blog post and the included lesson plan, Graham Fletcher and Joe Schwartz explore thinking conceptually about the standard division algorithm. In his lesson, Joe Schwartz scaffolds long division using tape diagrams.
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The learner plans a vacation trip to Washington DC focusing on a three of their own selections between the numerous historical sites, monuments or museums. The learner plans where they will visit over those three to four days. Using addition, subtraction and or percentage functions, the learner prepares a budget for lodging, transportation, entertainment, souvenirs and food. The student will be ask to develop a five slide PowerPoint presentation of one of their places chosen and what they plan to spend on the visit to Washington DC. Materials to include in this exercise are computer, books and calculators.
Students strengthen their communicate skills about measurements by learning the meaning of base units and derived units, including speed one of the most common derived units (distance/time). Working in groups, students measure the time for LEGO MINDSTORMS(TM) NXT robots to move a certain distance. The robots are started and stopped via touch sensors and programmed to display the distance traveled. Using their collected data, students complete a worksheet to calculate the robots' (mean/average) speeds at given motor powers.
This interactive Java application helps students understand the partial quotients algorithm of division in the context of dividing food equally. Students select a character and a type of food as well as the quantities of characters (divisor, 1-50) and food (dividend, 1-500) – or have the applet make selections randomly. The applet creates a story problem and leads users through the algorithm one step at a time, using questions related to the meaning of each step, and displays graphics illustrating the steps. Remainders can be expressed as whole numbers or fractions. An online calculator is available to help with calculations.
In this 43-day module, students use place value understanding and visual representations to solve multiplication and division problems with multi-digit numbers. As a key area of focus for Grade 4, this module moves slowly but comprehensively to develop students ability to reason about the methods and models chosen to solve problems with multi-digit factors and dividends.
This is a spin on the traditional game of using numbers and operations to form an expression equal to a certain number. The game uses dominoes and multiple target numbers.