Birthdays and the Binary System: Exploring Binary Numbers in a Real-World Application
http://illuminations.nctm.org/LessonDetail.aspx?ID=L245
A lesson plan for Grades 4–6 Mathematics
This lesson from Illuminations revolves around patterns and place value in the binary system. Students are drawn into mathematics by the “magical” ability to guess an unknown number and by the use of birthdays.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 4
- Goal 4: Data Analysis and Probability - The learner will understand and use graphs, probability, and data analysis.
- Objective 4.03: Solve problems by comparing two sets of related data.
- Goal 5: Algebra - The learner will demonstrate an understanding of mathematical relationships.
- Objective 5.01: Identify, describe, and generalize relationships in which:
- Quantities change proportionally.
- Change in one quantity relates to change in a second quantity.
- Objective 5.02: Translate among symbolic, numeric, verbal, and pictorial representations of number relationships.
- Objective 5.01: Identify, describe, and generalize relationships in which:
Grade 5
- Goal 1: Number and Operations - The learner will understand and compute with non-negative rational numbers.
- Objective 1.03: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
- Goal 5: Algebra - The learner will demonstrate an understanding of patterns, relationships, and elementary algebraic representation.
- Objective 5.01: Describe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols.
- Objective 5.02: Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems.
Grade 6
- Goal 5: Algebra - The learner will demonstrate an understanding of simple algebraic expressions.
- Objective 5.01: Simplify algebraic expressions and verify the results using the basic properties of rational numbers.
- Identity.
- Commutative.
- Associative.
- Distributive.
- Order of operations.
- Objective 5.03: Solve simple (one- and two-step) equations or inequalities.
- Objective 5.04: Use graphs, tables, and symbols to model and solve problems involving rates of change and ratios.
- Objective 5.01: Simplify algebraic expressions and verify the results using the basic properties of rational numbers.



