Why evaluating real world formulas correctly




















At North Agincourt Jr. Public School in Scarborough, Canada, Krista Dunlop-Sheppard, a bilingual resource and home school teacher for grades 1—6, has her students conduct a water audit at home and at their school. Her students have a wide range of math ability: In a single class, she has students with learning disabilities, students who are gifted, and students who have no diagnoses but need extra support.

Modifying a pilot project created by the Toronto Zoo Education Department , students add, subtract, find averages, and measure liquids—like the flow rate of all the water fountains, toilets, and urinals—to measure the amount of water their school uses in a day.

They also interview custodians to discover their daily water usage while mopping floors, and do online research to find out how much water the cafeteria dishwasher uses. When finished, students suggest ways for the school to conserve—like collecting rainwater in a barrel to water plants, and cleaning paint brushes in a bucket instead of using running water. In June, students repeat the water audit and see if the changes they implemented made a difference.

Going dutch on dinner and tipping reinforces addition, subtraction, decimals, and percents, Ouellette says. If you need a good resource: Ouellette has used this free lesson plan about a fictional eatery called the Safari Restaurant. Ashley Swords, a resource center English teacher for grades nine to 12, uses pennies because they are small and plentiful and allow her to recontextualize a familiar, everyday object.

Guesses ranged from two to 20 football fields, with students finally concluding that it would take about football fields. Swords knew this lesson was a success when a group of six seniors got emotional after completing it and realizing the magnitude of the deaths in World War II. Its length is 6 cm.

What is its width? Graph the solution set of the inequality and interpret it in the context of the problem. Write an inequality for the number of sales you need to make, and describe the solutions. Grade 8 Expressions and Equations Work with radicals and integer exponents. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. For example, estimate the population of the United States as 3 times 10 8 and the population of the world as 7 times 10 9 , and determine that the world population is more than 20 times larger.

Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities e. Interpret scientific notation that has been generated by technology Understand the connections between proportional relationships, lines, and linear equations. Compare two different proportional relationships represented in different ways.

For many students, the equals sign indicates an operation rather than a relationship Ronda Once the concept of relational equality is sufficiently developed, students can begin the task of making sense of two-variable equations. Knowledge construction for understanding linear equations occurs in various stages. Ronda suggests four clearly defined stages of conceptual development, which range from the most elementary level--being able to evaluate variables for specific values--to the most complex level--being able to view the function holistically.



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