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# The product of squares

Throughout this inquiry students will make connections, test different cases, infer and explain rules. They will evaluate the relationship between base and index numbers and square numbers. Students multiply index numbers, being familar with index laws and rules. Students are provided with worked examples. Teachers can use the inquiry as a teaching tool and to provide similar equations for students to work through and explain their findings. Resources include a prompt sheet and PowerPoint presentation.

Year level(s) Year 7, Year 8
Audience Student, Teacher
Purpose Additional learning support, Assessment advice, Content knowledge, Evidence-based approaches, Extension, Teaching resource, Teaching strategies, Student task
Teaching strategies and pedagogical approaches Collaborative learning, Differentiated teaching, Explicit teaching, Feedback, Growth mindset, Mathematics investigation, Metacognitive strategies, Questioning, Worked examples, Structuring lessons
Keywords laws of indices, square root, whole number, positive indices, powers of, base and index numbers, square numbers, explicit teaching

## Curriculum alignment

Curriculum connections Critical and creative thinking, Numeracy
Strand and focus Number, Algebra, Apply understanding, Build understanding
Topics Addition and subtraction, Indices, Multiples, factors and powers, Operating with number
AC: Mathematics (V9.0) content descriptions
AC9M7N01
Describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems

AC9M8N02
Establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers

Numeracy progression Multiplicative strategies (P9)