Counting Embedded Figures
http://illuminations.nctm.org/LessonDetail.aspx?ID=L250
A lesson plan for Grades 5–8 Mathematics
In this lesson from Illuminations, students look for patterns within a given figure. After looking at the figure, students count embedded squares, rectangles, or triangles, attempt to form generalizations, and sharpen their algebraic thinking skills.
North Carolina Curriculum Alignment
Mathematics (2004)
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.
Grade 6
- Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
- Objective 1.07: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
- Goal 4: Data Analysis and Probability - The learner will understand and determine probabilities.
- Objective 4.01: Develop fluency with counting strategies to determine the sample space for an event. Include lists, tree diagrams, frequency distribution tables, permutations, combinations, and the Fundamental Counting Principle.
Grade 7
- Goal 1: Number and Operations - The learner will understand and compute with 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.
Grade 8
- Goal 1: Number and Operations -The learner will understand and compute with real numbers.
- Objective 1.02: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.



