Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.
Percentages inquiry
This inquiry lesson is aimed to extend learning and explore students understanding of percentages as they verify; test other cases; make conjectures; and reason, generalise and prove. Students can work collaboratively to determine the answer to various 'percentage of' questions, comparing their answers to other prompts and statements. Students then identify commonalities and patterns in their answers. Many examples of students' responses to the prompt are provided for analysis. Teachers can use the inquiry as a teaching tool and to probe questions to assess student understanding.
Additional details |
|
| Year level(s) | Year 7 |
|---|---|
| Audience | Student, Teacher |
| Purpose | Additional learning support, Assessment advice, Assessment task, Content knowledge, Student task, Teaching resource, Teaching strategies, Extension |
| Format | Downloadable resources |
| Teaching strategies and pedagogical approaches | Collaborative learning, Differentiated teaching, Growth mindset, Feedback, Mathematics investigation, Metacognitive strategies, Questioning, Structuring lessons, Worked examples |
| Keywords | percentage |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Algebra, Number, Build understanding, Apply understanding |
| Topics | Fractions, Operating with number, Percentage, Decimals, Multiplication and division |
| AC: Mathematics (V9.0) content descriptions |
AC9M7N06
Use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies |
| Numeracy progression |
Additive strategies (P10)
Multiplicative strategies (P10) Proportional thinking (P2) Number and place value (P10) Interpreting fractions (P8) |
Copyright details |
|
| Organisation | Inquiry Maths |
| Copyright | © Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0. |
Related resources
-
Estimation and rounding
Students build estimation and rounding skills by working with decimals and significant figures.
Resource details -
Understanding multiplicative relationships: fractions and ratio
This unit introduces the concept of multiplicative relationsihps, and connects fractions to the idea of ratios. Ratios are then explored in depth and used to solve contextual problems. Note the section on exchange rates does not include Australian currency.
Resource details -
Factors and prime factors inquiry
The process of making connections between factors and prime factors.
Resource details -
Fractions inequality inquiry
Students ask is the inequality true, and explore what they notice about the numbers.
Resource details -
Decimal multiplication inquiry 2
Making a connection between multiplying decimals and addition.
Resource details -
Rectangle ratios inquiry 1
Establish formulas for area of rectangles and use these in problem-solving. Recognising and solving simple ratios.
Resource details -
Pyramid addition inquiry
Finding the sum of integers.
Resource details -
Inequalities inquiry
Extend and apply the laws and properties of arithmetic to algebraic terms and expression.
Resource details