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
-
reSolve: Modelling motion – Year 7
This is a series of inquiry-based lessons about motion and collecting and representing data.
Resource details -
Percentages
Connection of percentage to decimals, and fractions and operations using percentage.
Resource details -
Decimals and percentages
Place value, operations with decimals and the connection to percentages.
Resource details -
Integers
The resource outlines how the order of operations affects positive and negative numbers.
Resource details -
Operations: Foundation to Year 9
A guide to teaching about number operations.
Resource details -
Number: Foundation to Year 9
A guide to teaching about number.
Resource details -
Multiplicative thinking (9 lessons)
In this sequence of 9 lessons, students explore multiplication and division involving fractions and decimals using visual models, written strategies, and problem-solving tasks.
Resource details -
Operating with numbers (8 lessons)
In this sequence of 8 lessons, students apply proportional reasoning and use the four operations with integers, fractions, decimals, and percentages in real-world contexts.
Resource details