Checking for Reasonableness
In this worksheet, students simplify challenging questions to come up with an estimate, which they then use to check the reasonableness of existing solutions to the equations.
The worksheet is part of a Year 5 unit designed to help students consolidate their rounding skills and incorporate them with estimation to estimate solutions to difficult questions or check the reasonableness of answers.
Learning goals
- We are learning to use estimation and rounding to check the reasonableness of answers to calculations.
- We are learning to estimate the quantity of objects in collections and when solving problems.
- We are learning to use estimation and rounding to check and explain calculations including transactions involving money.
- We are learning to check and explain the reasonableness of solutions to problems including money using appropriate estimation strategies.
Curriculum alignment
AC9M5N08
9
Check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context
AC9M4N07
9
Choose and use estimation and rounding to check and explain the reasonableness of calculations including the results of financial transactions
AC9M3N05
9
Estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculations
ACMNA099
8.4
Use estimation and rounding to check the reasonableness of answers to calculations
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-MR-02
new
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
MA3-MR-01
new
Selects and applies appropriate strategies to solve multiplication and division problems
MA3-AR-01
new
Selects and applies appropriate strategies to solve addition and subtraction problems
MA2-MR-02
new
Completes number sentences involving multiplication and division by finding missing values
MA2-MR-01
new
Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems
MA2-AR-02
new
Completes number sentences involving addition and subtraction by finding missing values
MA2-AR-01
new
Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers
MA2-RN-02
new
Represents and compares decimals up to 2 decimal places using place value
MA2-RN-01
new
Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.