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Module 8: Exploring Algorithms

Module Objectives

In this module you will:

a) Solve a task involving scientific notation and Order of Operations
b) Explore algorithms related to subtraction, multiplication, and division.

Task 1: Distances in Space

The table below gives you the average distance of 3 planets from the Sun.

Mercury

5.7x107  km
Venus

1.08 x108  km
Earth

1.5x108  km

How far are each of those planets from the Sun in million kilometers?

 How far are each of those planets from the Sun in thousand kilometers?

 Susan said, "Venus is more than twice as far from the Sun than Mercury is."
 Tyrone said, "Earth is more than twice as from the Sun than Mercury is?

 Are they correct? Why or why not?

 Scientific notation is used to express large numbers in terms of powers of ten. The Grade 5 Common Core Standards ask students to:
  • 5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
  • 5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

    How does the work that you did above with the distances between the planets relate to each of these Standards?

    Submit your work in a Word document.
  • Task 2:
    Algorithms and Strategies

    Here is an article on how place value understanding influences students' use of algorithms. Read the article. Here are the figures that go with it.

    Here is work on multiplication strategies. Complete the attached task.

    Here is some information on division strategies. Here are more strategies. Use three of the division strategies described to solve the task:

    444 divided by 16.

    As you were solving these tasks using various strategies, how did your understanding of place value and number sense help you?

    Submit your work in the same Word document as Task 1.
    Task 3:
    Final Project

    Go back to the previous module for directions. This is due August 6.
    Work due at the end of this module:

    Task 1-
    Final project- submit through Moodle2 or e-mail