Problem Solving - Presentation
In this presentation, students are introduced to 4 step processes to solving mathematical problems adapted from George Polya’s work. It is a great way of preparing students for enquiry based, open ended questions.
This presentation is a part of a larger unit designed to show year students another method of systematically solving word problems and allow them to practice a range of strategies to solve problems of varying complexity.
Learning goals
- We are learning to select and apply efficient mental and written strategies and digital technologies to solve problems involving addition, subtraction, multiplication and division with whole numbers.
- We are learning to solve practical problems involving natural and rational numbers and percentages in financial contexts.
Curriculum alignment
AC9M6N09
9
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
ACMNA123
8.4
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
MA3-1WM
old
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA3-2WM
old
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
MA3-3WM
old
Gives a valid reason for supporting one possible solution over another
MA3-5NA
old
Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
MA3-6NA
old
Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
MA3-RN-01
new
Applies an understanding of place value and the role of zero to represent the properties of numbers
MA3-RN-02
new
Compares and orders decimals up to 3 decimal places
MA3-RN-03
new
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
MA3-AR-01
new
Selects and applies appropriate strategies to solve addition and subtraction problems
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.