Year 7 - Maths
Powers and roots using a calculator
Properties of number: factors, multiples, squares and cubes
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Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils develop their understanding of factors and multiples, then extend this knowledge to learn general divisibility tests for integers and develop strategies to determine the highest common factor and lowest common multiple of two or more integers.
Lesson Summary
You will learn to use the keys for squares and other powers and square root on a calculator.
Key Notes
- The square root of any number can be found using a calculator but it may not be an integer.
- The power button on a calculator can be used to evaluate a number written using exponents.
- The 10^x button on a calculator can be used when the base is 10.
Vocabulary To Learn
- Evaluate: Evaluate means to find the value of a numerical or an algebraic expression.
Common Mistakes To Avoid
- Students forget to scroll right to exit the exponent function.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The square root of any number can be found using a calculator but it may not be an integer. The power button on a calculator can be used to evaluate a number written using exponents.
2. Use this key word in a maths sentence and explain it clearly. 'Evaluate'
Evaluate means to find the value of a numerical or an algebraic expression. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Students forget to scroll right to exit the exponent function. Correction: Encourage students to check what they have on their screen matches the calculation exactly.
More Lessons In This Unit
- Calculating integers from their prime factor expressions Study Guide
- Checking understanding of factors, multiples, squares and cubes Study Guide
- Checking understanding of prime numbers Study Guide
- Divisibility tests for 2 and 3 Study Guide
- Divisibility tests for 4 and 8 Study Guide
- Divisibility tests for 5 and 10 Study Guide
- Divisibility tests for 6 and 9 Study Guide
- Expressing an integer as a product of its prime factors Study Guide
- HCF or LCM Study Guide
- Highest common factor Study Guide
- Listing factors Study Guide
- Listing multiples Study Guide
- Lowest common multiple Study Guide
- Power notation Study Guide
- Problem solving with factors, multiples, squares and cubes Study Guide
- Securing understanding of factors, multiples, squares and cubes Study Guide
- Square and cube numbers Study Guide
- Square and cube roots Study Guide
Browse all guides in the Year 7 Maths guide library.