Running races
http://illuminations.nctm.org/LessonDetail.aspx?ID=L592
A lesson plan for Grades 3–5 Mathematics
Students generate and compare paths which model given problem situations on graphing grids. Illuminations provides a class notes recording sheets, activity sheets, a fact mastery record, and detailed instructions for completing the lesson.
Students will:
- Graph sets of ordered pairs on a graphing grid.
- Compare graphs of linear equations.
NCTM Standards and Expectations
- Describe, extend, and make generalizations about geometric and numeric patterns.
- Represent and analyze patterns and functions, using words, tables, and graphs.
- Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 3
- Goal 5: Algebra - The learner will recognize, determine, and represent patterns and simple mathematical relationships.
- Objective 5.01: Describe and extend numeric and geometric patterns.
- Objective 5.02: Extend and find missing terms of repeating and growing patterns.
Grade 4
- Goal 5: Algebra - The learner will demonstrate an understanding of mathematical relationships.
- Objective 5.03: Verify mathematical relationships using:
- Models, words, and numbers.
- Order of operations and the identity, commutative, associative, and distributive properties.
- Objective 5.03: Verify mathematical relationships using:
Grade 5
- 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.
- Objective 5.03: Identify, describe, and analyze situations with constant or varying rates of change.



