Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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.
Additional details |
|
| 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 |
| Format | Downloadable resources |
| 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 content descriptions |
ACMNA150
Investigate and use square roots of perfect square numbers
ACMNA182
Use index notation with numbers to establish the index laws with positive integral indices and the zero index
|
| National numeracy learning progression |
Multiplicative strategies
-
MuS6
Additive strategies Number patterns and algebraic thinking Quantifying numbers - QuN12 |
Copyright details |
|
| Organisation | Inquiry Maths |
| Copyright | © Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0. |
Related resources
-
Percentage of
Find percentages of quantities and express one quantity as a percentage of another.
Resource details -
Adding fractions
Solving problems involving addition and subtraction of fractions, including those with unrelated denominators.
Resource details -
Laws of arithmetic
Extend and apply the laws and properties of arithmetic to algebraic terms and expressions.
Resource details -
Index patterns
These lessons involve the use of number lines to build understanding of exponents both negative and postive.
Resource details