1.4 Squares and Square roots

• Squares and square roots of numbers from tables and calculators

• work out the squares of numbers from tables in different situations
• work out the square roots of numbers from tables in different situations
• work out squares and square roots of numbers using a calculator in different situations
• enjoy using squares and square roots in real life situations

“What are squares and square roots of numbers?”

“Where do we apply squares and square roots in real-life situations?”

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1. What squares and square roots are
   40 min · 1 practice tasks · quiz
   Squaring a number, the perfect squares worth knowing, and the square root as the operation that undoes it.
2. Squares from mathematical tables
   40 min · 1 practice tasks · quiz
   Finding the row, reading across to the column, and using the mean-difference columns for a fourth figure.
3. Square roots from mathematical tables
   40 min · 1 practice tasks · quiz
   Why there are two square root tables, choosing the right one, and the shift rule for numbers outside their range.
4. Squares and roots on a calculator
   40 min · 1 practice tasks · quiz
   Using the square and root keys, knowing which order your calculator wants, and rounding the answer once at the end.
5. Estimating a square root
   40 min · 1 practice tasks · quiz
   Trapping a number between two perfect squares to predict its root, and using the estimate to catch mistakes.
6. Squares and roots in real life
   40 min · 1 practice tasks · quiz
   Turning a side into an area and an area back into a side, with the units that go with each.