UNIT PREPARATION

Display the Math Practices page where all students can see it.

If you have not done so already, attach Small Multiplication Tables to students' desks for reference. (See Unit 4.)

Locate and display a wire or cord 5 to 10 meters in length. (See Lesson 3 Materials Preparation.)

Gather metersticks. (See Lesson 4 and Lesson 5 Materials Preparation.)

Gather centimeter rulers. (See Lesson 4 Materials Preparation.)

Gather base-ten pieces, packs representing 1000. (See Lesson 4 Materials Preparation.)

Find a 10-meter strip of paper or adding machine tape. (See Lesson 5 Materials Preparation.)

Prepare 5 Mystery Jars with reference bags. (See Lesson 6 Materials Preparation.)

Research to find large numbers in your local community. (See Lesson 7 Materials Preparation.)

Students will need the following tools readily available for the
Daily Practice and Problems items in this unit:

LESSON SESSIONS DESCRIPTION SUPPLIES

LESSON 1

Facts I Know: Multiplication and Division

 1 This lesson reviews strategies for learning multiplication facts in preparation for the Multiplication Facts Inventory Test in Lesson 8. Part 2 is a brief exploration and review of fact families, then students begin their systematic study and assessment of the division facts using Triangle Flash Cards and Division Facts I Know charts. Students also explore division with zero using what they know about fact families.
  • Multiplication Facts I Know charts
  • scissors
  • envelope for storing flash cards
  • calculator

LESSON 2

Newswire

 1 Students begin work on an activity in which they read, write, and order large numbers. They find large numbers on the internet or in newspapers and order the numbers on a wire that is stretched across the classroom.
  • sources of large numbers
  • wire, string or cord
  • paper clips or clothespins
  • scissors
  • hole puncher
  • 3- by 5-inch index cards

LESSON 3

Doubles

 2–3 An old folk tale serves as a context for investigating the patterns that are made when numbers are doubled again and again. Students keep track of the doubling in a data table as they color in square millimeters on a grid that provides a visual representation of 1,000,000. They explore and analyze these data patterns to make predictions and form generalizations.
  • colored pencils
  • chart paper
  • metersticks
  • crayons
  • calculators

LESSON 4

Big Base-Ten Pieces

 3 Students develop flexibility composing and decomposing big numbers based on place value concepts. They use representations of base-ten pieces (shorthand and Base-Ten Pieces Recording Sheets) and hops on number lines. Students also construct proportional base-ten models for ten thousand, one hundred thousand, and one million based on the familiar size and shape relationships of base-ten pieces. These conceptual models help students visualize the powers of ten patterns in our place value system.
  • Newswire display from Lesson 2
  • metersticks
  • centimeter rulers
  • masking tape
  • base-ten pieces, packs
  • rulers
  • scissors
  • envelopes

LESSON 5

News Number Line

 2 Students create a number line from 1000 to 1,000,000 using a paper strip or string that is 10 meters long. Numbers collected on the Newswire in Lesson 2 are placed on the number line using benchmarks to show the relative distance between the numbers. The activity helps students recognize relative sizes of numbers through the millions.
  • Newswire display from Lesson 2
  • Big base-ten display from Lesson 4
  • metersticks
  • red and green markers and cards
  • adding machine tape, string, wire or cord
  • calculators
  • paper clips
  • index cards

LESSON 6

Using Estimation

 2–3 Students estimate the number of objects in a collection by comparing it with a known number of the same object, discuss which estimates are close and determine a reasonable range for “good” estimates. In Part 2, students use number lines and benchmark to round numbers. They estimate sums and differences using rounded numbers and explore when it is appropriate to use an estimate.
  • Articles and resources with large numbers (Lesson 2)
  • jars
  • resealable plastic bags
  • small items

LESSON 7

Workshop: Large Numbers

 1–2 In this Workshop, students use population data and data on the seating capacity of large sports stadiums to practice concepts and skills addressed in the previous lessons. Using a menu, students choose problems to solve based on their current abilities. Students play Draw, Place, and Read from Lesson 4 for more practice.
  • Digit Cards 0–9 from Lesson 4
  • envelopes

LESSON 8

Midterm Review

 1–2 Students take a paper-and-pencil test that assesses concepts and skills studied in the first six units.
  • rulers
  • calculators
  • square-inch tiles
  • display materials

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Suggested Titles for Students

  • Barry, David. The Rajah's Rice: A Mathematical Folktale from India. Scientific American Books for Young Readers, New York, 1994.
  • Birch, David. The King's Chessboard. Penguin Putnam Books, New York, 1993.
  • Demi. One Grain of Rice. Scholastic Press, New York, 1997.
  • Handford, Martin. Where's Waldo? Candlewick Press, Cambridge, MA, 1997.
  • McKissack, Patricia. A Million Fish . . . More or Less. Random House, New York, 1996.
  • Pittman, Helena Clare. A Grain of Rice. Bantam Doubleday Dell, New York, 1996.
  • Schwartz, David. How Much Is a Million? HarperCollins Publishers, New York, 1985, reprinted 2007.

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Resources for Teachers

  • The Population Reference Bureau (www.prb.org) includes a data finder that informs people around the world about population, health, and the environment, and empowers them to use that information to advance the wellbeing of current and future generations.
  • The United States Census Bureau (www.census.gov) serves as the leading source of quality data about the nation's people and economy.
  • The American Fact Finder database (www.factfinder.census.gov) can be accessed through the United States Census Bureau. This is an additional source for quality data about our nation.
  • Information Please (www.infoplease.com) has been providing authoritative answers to all kinds of factual questions since 1938—first as a popular radio quiz show, then starting in 1947 as an annual almanac, and since 1998 as a web-based publication.