UNIT PREPARATION

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

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

LESSON SESSIONS DESCRIPTION SUPPLIES

LESSON 1

Factor Games

 2 Students explore factors while playing the games Factor 20 and Factor 40. Students analyze situations in the game and apply strategies based on knowledge of factors. They find factors of numbers ranging from 1 to 100 and identify prime numbers and composite numbers.
  • calculators
  • chart paper
  • self-adhesive notes

LESSON 2

Sifting for Primes

 1–2 Students identify the prime numbers between 1 and 200 using the Sieve of Eratosthenes. Students look for patterns that develop on the 200 Chart as primes are identified.
  • calculators
  • chart paper
  • self-adhesive notes

LESSON 3

Growth Patterns on Planet Gzorp

 2–3 Students explore number patterns. They make data tables to analyze how number patterns grow. They write rules and algebraic formulas to describe the growth and make predictions.
  • square-inch tiles
  • calculators
  • rulers

LESSON 4

Square Number Patterns

 2 Students explore number patterns involving square numbers. They make data tables and draw graphs to analyze how square number patterns grow. They write rules and formulas to describe the growth and make predictions. Students compare the growth of two different kinds of patterns and their corresponding graphs: those built from the multiples of a number (straight lines) and those built from the squares of numbers (curves).
  • square-inch tiles
  • calculators

LESSON 5

Find Prime Factors

 1 Students find the prime factors of numbers. Strategies include using known factors, a factor tree, and calculators. Students rewrite numbers as a product of their prime factors using exponents.
  • calculators

LESSON 6

Order Of Operations with Exponents

 1 Students review order of operations and add exponents to the rules for order of operations. They play the game Operation Target to practice using the rules.
  • calculators

LESSON 7

A Different Sieve

 2 Students use the Sieve of Eratosthenes, first explored in Lesson 2, to find the prime numbers from 1 to 100 using a Six-Column 100 Chart. Students identify and write about the resulting patterns. Students apply their knowledge of primes and multiples to identify and describe number patterns.
  • 4 different colored crayons

LESSON 8

Workshop: Finding Multiples

 1–2 This Workshop lesson provides opportunities for students to practice identifying and finding multiples of number. Students design game boards for a game where it is advantageous to find common multiples.
  • clear plastic spinners or pencils and paper clips
  • beans or other small markers

LESSON 9

Classify Numbers

 1–2 Students categorize prime, composite, square, and cubic numbers through two different games. They use a version of the Venn diagram to represent the combinations of these categories to which numbers from 1 to 100 belong.
  • clear plastic spinners or pencils and paper clips
  • beans or other markers

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Suggested Titles for Students

  • Hulme, Joy N. Sea Squares. Hyperion Books for Children, New York, 1993.