This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Historians estimate that there were about 7 million people on the earth in 4,000 BCE. Now there are about 7 billion! We write 7 million as 7,000,000. W...
Students today develop proficiency with many different algorithms for multiplication. This approach insures that each student will find a method that works effectively for him/her. Teachers model the different algorithms and encourage students to use and practice each method before selecting a favorite.
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.
In this video segment from Cyberchase, Inez and Lucky figure out how to keep track of the number of clones as they continue to multiply. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.
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Students learn how the aerodynamics and rolling resistance of a car affect its energy efficiency through designing and constructing model cars out of simple materials. As the little cars are raced down a tilted track (powered by gravity) and propelled off a ramp, students come to understand the need to maximize the energy efficiency of their cars. The most energy-efficient cars roll down the track the fastest and the most aerodynamic cars jump the farthest. Students also work with variables and plot how a car's speed changes with the track angle.
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.
Students explore the composition and practical application of parallel circuitry, compared to series circuitry. Students design and build parallel circuits and investigate their characteristics, and apply Ohm's law.
Students experientially learn about the characteristics of a simple physics phenomenon the pendulum by riding on playground swings. They use pendulum terms and a timer to experiment with swing variables. They extend their knowledge by following the steps of the engineering design process to design timekeeping devices powered by human swinging.
Students learn how engineers transform wind energy into electrical energy by building their own miniature wind turbines and measuring the electrical current it produces. They explore how design and position affect the electrical energy production.