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Simplifying Square Roots: Perfect Squares & Square Roots Math Lessons

Explore the symbol for square roots, perfect squares, simplifying procedures, and estimating square roots in an integrated mathematics objective for students. Learn about squares of whole numbers, simplifying techniques, and estimating methods with examples.

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Simplifying Square Roots: Perfect Squares & Square Roots Math Lessons

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  1. Please Do Now #1 • What is the symbol for square roots?

  2. Perfect Squares & Square Roots Integrated Mathematics

  3. Objective • Students will apply the concepts of square roots and perfect squares to simplify and estimate the values of square roots.

  4. Perfect Squares • The Squares of Whole Numbers • Whole Number Multiplied by Itself • No Fractions or Decimals

  5. Square Roots • The square root of a number can be multiplied by itself, or squared, to equal the number Examples Ex.1) Ex.2) Ex.3) • Every positive number has 2 square roots that are opposite in sign

  6. Simplify the Square Roots • Find a perfect square that multiplies with another whole number to equal the number under the radical • Simplify the perfect square Ex.4) Ex.5)

  7. Review of Simplifying Square Roots • Check if the Number under the square root(is a Perfect Square. (Index Card) • If not, find the biggest perfect square that is smaller than the number under the square root. Divide to check if it is a factor. (No Decimals) • Write the perfect square and the number you get from dividing under two separate square roots. • Simplify the perfect square.

  8. Simplify the Square Roots • Find a perfect square that multiplies with another whole number to equal the number under the radical • Simplify the perfect square Ex.6) Ex.7)

  9. Simplify the Square Roots • Find a perfect square that multiplies with another whole number to equal the number under the radical • Simplify the perfect square Ex.8)

  10. Estimating Square Roots • Determine 2 Perfect Squares in which the number under the radical fall in between Ex.10) Ex.9)

  11. Estimating Square Roots • Determine 2 Perfect Squares in which the number under the radical fall in between Ex.12) Ex.11)

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