MA19.GDA.1

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.1

Extend understanding of irrational and rational numbers by rewriting expressions involving radicals, including addition, subtraction, multiplication, and division, in order to recognize geometric patterns.

Unpacked Content

Knowledge

Students know:
  • Order of operations, Algebraic properties, Number sense.
  • Computation with whole numbers and integers.
  • Radicals.
  • Rational and irrational numbers.
  • Measuring length and finding perimeter and area of rectangles and squares.
  • Volume and capacity.
  • Rewrite radical expressions.
  • Pythagorean theorem.

Skills

Students are able to:
  • Simplify radicals and justify simplification of radicals using visual representations.
  • Use the operations of addition, subtraction, division, and multiplication, with radicals.
  • Demonstrate an understanding of radicals as they apply to problems involving squares, perfect squares, and square roots (e.g., the Pythagorean Theorem, circle geometry, volume, and area).

Understanding

Students understand that:
  • rewriting radical expressions of rational and irrational numbers can help in recognizing geometric patterns.

Vocabulary

  • Rational numbers
  • Irrational numbers
  • Geometric Patterns
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