How many lessons are in Powers and Roots?

11 lessons: 1.1 Squares, cubes and their roots: exact and approximate, 1.2 The product rule for roots: root(ab) = root(a) x root(b), 1.3 Estimating and ordering roots, 1.4 Index notation review: base, index and expanded form, 1.5 The multiplication law, 1.6 The division law, 1.7 The power of a power, and powers of products, 1.8 The zero index, 1.9 Order of operations with powers and roots, 1.10 Irrational numbers and the number line, Putting it together.

Is the Powers and Roots study guide free?

This page is free to read, with nothing to buy and no account to make. It sets out what the unit covers. The full guide isn't published online; it's what our tutors teach from in lessons.

Can BTA tutor Year 8 Mathematics?

Yes. We tutor Year 8 Mathematics one-on-one at any of our eight academies across five locations, online through Microsoft Teams, or in your home. All three cost the same hourly rate and the first consultation is free.

Year 8 Mathematics · Chapter 1

Powers and Roots

Year 8 Mathematics, NSW Stage 4. Powers and Roots, 11 lessons, written to the NSW Mathematics syllabus.

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In this chapter

What the guide holds

Every lesson runs the same way: worked examples paired with a your-turn column, a four-stage practice ladder from fluency to exam-style questions, and full worked solutions for every question at the back of the chapter.

Includes three practice examinations on this chapter, sharing no question between them, each with its own worked solutions. Sit one and keep the other two for revision.

11 lessons

Lesson by lesson

1.1 Squares, cubes and their roots: exact and approximate
1.2 The product rule for roots: root(ab) = root(a) x root(b)
1.3 Estimating and ordering roots
1.4 Index notation review: base, index and expanded form
1.5 The multiplication law
1.6 The division law
1.7 The power of a power, and powers of products
1.8 The zero index
1.9 Order of operations with powers and roots
1.10 Irrational numbers and the number line
Putting it together

Year 8 Mathematics

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Common questions

Questions about this chapter

What does Powers and Roots cover?: Year 8 Mathematics, NSW Stage 4. Powers and Roots, 11 lessons, written to the NSW Mathematics syllabus.
How many lessons are in Powers and Roots?: 11 lessons: 1.1 Squares, cubes and their roots: exact and approximate, 1.2 The product rule for roots: root(ab) = root(a) x root(b), 1.3 Estimating and ordering roots, 1.4 Index notation review: base, index and expanded form, 1.5 The multiplication law, 1.6 The division law, 1.7 The power of a power, and powers of products, 1.8 The zero index, 1.9 Order of operations with powers and roots, 1.10 Irrational numbers and the number line, Putting it together.
Is the Powers and Roots study guide free?: This page is free to read, with nothing to buy and no account to make. It sets out what the unit covers. The full guide isn't published online; it's what our tutors teach from in lessons.
Can BTA tutor Year 8 Mathematics?: Yes. We tutor Year 8 Mathematics one-on-one at any of our eight academies across five locations, online through Microsoft Teams, or in your home. All three cost the same hourly rate and the first consultation is free.

Still deciding? Book a free consultation and we will talk through where your child is up to.

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