Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.
Fraction of a number inquiry
Throughout this inquiry students will develop an understanding of how to find a fraction of a quantity where the result is a whole number. Teachers can use the inquiry to explicitly teach the concept and engage students as they discuss the worked example presented. The inquiry provides opportunity for students to deepen their understanding of fractions developing algebraic reasoning.
Additional details |
|
| Year level(s) | Year 6 |
|---|---|
| Audience | Student, Teacher |
| Purpose | Evidence-based approaches, Extension, Planning support, Teaching resource, Teaching strategies |
| Format | Downloadable resources |
| Teaching strategies and pedagogical approaches | Collaborative learning, Differentiated teaching, Explicit teaching, Growth mindset, Mathematics investigation, Metacognitive strategies, Questioning, Worked examples, Structuring lessons |
| Keywords | simple fractions, multiplication, division, numerator, denominator, explicit teaching |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Number, Apply understanding, Build understanding |
| Topics | Fractions, Operating with number, Decimals, Multiplication and division, Multiples, factors and powers |
| AC: Mathematics (V9.0) content descriptions |
AC9M6N09
Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made |
| Numeracy progression |
Additive strategies (P8)
Multiplicative strategies (P8) Understanding money (P8) |
Copyright details |
|
| Organisation | Inquiry Maths |
| Copyright | © Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0. |
Related resources
-
Conceptualising fractions (10 lessons)
In this sequence of 10 lessons, students apply fraction bars, number lines and equivalence to compare, order and calculate with fractions of different denominators.
Resource details -
Multiplicative thinking (10 lessons)
In this sequence of 10 lessons, students identify number properties, multiply and divide by powers of 10, and solve multiplicative problems and equations.
Resource details -
Integers (6 lessons)
In this sequence of 6 lessons, students compare, and combine positive and negative integers using number lines, symbols, and real-world contexts like temperature and budgets.
Resource details -
Multiplication sequence - Level 2, 3, 4, 5, 6
Resource details -
Super Maths Quiz
The Super Maths Quiz uses random generation to create endless quizzes, allowing your students to revise core concepts at the start of each mathematics lesson.
Resource details -
Factors bingo
In this lesson we use the context of a bingo game to apply understanding of prime, composite and square numbers.
Resource details -
Units of measurement for capacity
In this lesson, students learn about the units of measurement for capacity and how to convert between them. They then develop a set of instructions that explains how to convert between the units of measurement without a calculator. The lesson offers a real-world context for extending place value beyond thousands for a purpose.
Resource details -
Decimals: Adding and subtracting
In this lesson, students learn about place value and how it extends beyond whole numbers. Students play a board game that draws on their knowledge of adding decimals to tenths, hundredths and thousandths with and without regrouping.
Resource details