Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
Adding fractions inquiry
Throughout this inquiry students will come to identify and create patterns, conjecture and generalisations. They will learn how to add and subtract fractions with unrelated denominators and present fractions on a number line. Students are to identify multiples and factors of numbers to successfully add and subtract fractions. Teachers can use the inquiry as a teaching tool to model the worked examples and to probe questions. Students can record their own fraction inquiries to share, providing the teacher with an insight into the student's level of understanding. Supporting resources provided.
Additional details |
|
| Year level(s) | Year 7 |
|---|---|
| Audience | Student, Teacher |
| Purpose | Assessment advice, Content knowledge, Evidence-based approaches, Teaching resource, Teaching strategies |
| Format | Downloadable resources |
| Teaching strategies and pedagogical approaches | Collaborative learning, Concrete Representational Abstract model, Differentiated teaching, Explicit teaching, Feedback, Growth mindset, Mathematics investigation, Metacognitive strategies, Questioning, Worked examples |
| Keywords | fraction, numerator, denominator, equivalent fraction, common multiple, number line |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Algebra, Number, Apply understanding, Build understanding |
| Topics | Addition and subtraction, Fractions, Multiples, factors and powers, Operating with number |
| 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
-
Rational numbers - Level 7
In this level 7 sequence of 12 lessons, students learn about rational numbers. They work with fractions and ratios, compare totals and solve problems using simple maths.
Resource details -
Integers (Whole numbers) - Level 7
Sequence map of 6 lessons for Integers (Whole numbers), teaching students about powers, square roots and to solve linear equations.
Resource details -
WS05 - Possum population
Use this work sample to assess students' knowledge and skills to use algebraic thinking when investigating and predicting changes in population data.
Resource details -
WS03 - Blending and using paint
Use this work sample to assess students' knowledge and skills to represent ratios.
Resource details -
Factors, multiples, primes: Year 7 – planning tool
This planning resource for Year 7 is for the topic of Factors, multiples, primes.
Resource details -
Sum of unit fractions inquiry
This prompt investigates the properties of unit fractions.
Resource details -
Sum and product of fractions inquiry
The prompt challenges the students to find fractions that fulfil the requirements.
Resource details -
Squares and cubes inquiry
This prompt explores the pattern made by the sum of consecutive cube numbers.
Resource details