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1.5 Squares and Square Roots

Mathematics · Grade 7 · 5 lessons in the design

What this covers

  • Squares of whole numbers, fractions and decimals
  • Square roots of whole numbers, fractions and decimals

What you will be able to do

  • determine the squares of whole numbers, fractions, and decimals by multiplication in different situations
  • determine the square roots of whole numbers, fractions, and decimals of perfect squares in different situations
  • appreciate the use of squares and square roots in real-life situations

Key questions

“Where do we apply squares and square roots in daily activities?”

“How do we apply squares and square roots in daily activities?”

Lessons

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  1. Squares of whole numbers
    40 min · 1 practice tasks · quiz
    Find a whole-number square with a grid, with long multiplication, and with a calculator check.
  2. Squares of fractions and decimals
    40 min · 1 practice tasks · quiz
    Square a fraction by squaring top and bottom; square a decimal by multiplying it by itself and counting places.
  3. Square roots of perfect-square whole numbers
    40 min · 1 practice tasks · quiz
    Find the positive square root of a perfect square by pairing prime factors, and check by squaring.
  4. Square roots of fractions and decimals
    40 min · 1 practice tasks · quiz
    Find roots of fractions and decimals that are perfect squares, by taking roots of both parts or by rewriting the decimal as a fraction.
  5. Squares and square roots in real life
    40 min · 1 practice tasks · quiz
    Use side squared for the area of a square plot, tile or table, and the square root for a missing side.