LEARN NC

K–12 teaching and learning · from the UNC School of Education

About this resource

Appropriate grades
7–8
Subjects
mathematics (applied mathematics, number sense)
Provider
National Council of Teachers of Mathematics

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This lesson focuses on forming numbers to meet specific requirements. Students carefully read information and understand mathematical language in order to find appropriate solutions. Using the problem-solving strategies of looking for patterns and establishing an organized list will aid students in finding all the possible solution sets. Illuminations provides instructions and an activity sheet necessary for completing the lesson.

Students will:

  • Experiment with numbers to find all possible ways to combine a two-digit square number with a three-digits square to form a five-digit address number.

NCTM Standards and Expectations:

  • Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 7

  • Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
    • Objective 1.02: Develop fluency in addition, subtraction, multiplication, and division of rational numbers.
      • Analyze computational strategies.
      • Describe the effect of operations on size.
      • Estimate the results of computations.
      • Judge the reasonableness of solutions.
    • 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.