Understanding the order of operations is essential for evaluating numerical expressions that involve addition, subtraction, multiplication, division, and parentheses (brackets).
These worksheets focus on expressions without exponents, providing a stepping stone from mastering basic operations (addition, subtraction, multiplication, and division) to solving algebraic equations.
Differentiated Worksheet Sets
The worksheets are designed to progressively build students’ skills and confidence with the order of operations. Here’s an overview of the sets:
Set 1: Strengthening Basic Operations
Students begin by combining three or more numbers using either addition and subtraction or multiplication and division (separately).
Set 2: Introducing Brackets
Brackets are introduced to demonstrate their impact on calculations. Problems remain separated into addition/subtraction and multiplication/division.
Set 3: Combining All Four Operations
This set mixes addition, subtraction, multiplication, and division in each problem.
Set 4: Exploring the difference between using or not using Brackets
Each pair of problems uses the same numbers and operations; however, one includes brackets. This emphasizes how brackets can change the outcome of a calculation.
Set 5: Full Integration
Problems now combine all four operations with brackets. This set consolidates all prior learning into more complex expressions.
Set 6: Adding brackets for Accuracy
Students are tasked with inserting brackets into equations to make them true. This encourages trial-and-error problem-solving while teaching them to document both successful and unsuccessful attempts.
Set 7: Word Problems
Students learn to convert word-based problems into numerical expressions and solve them step by step.
Set 8: Real-World Applications
This final set focuses on practical problems that require students to translate real-life scenarios into numerical statements before solving them.
Each of the first five sets is available in two versions: **Option A** (with smaller numbers) and **Option B** (with slightly larger numbers for added challenge).
– All answers are positive whole numbers.
– Calculations can be completed without a calculator.
(Almost) Unlimited worksheets ?
Yes. At the click of a button all numbers (and visual supports) are randomized, creating a new worksheet with different numbers …. as many times as you want. This means you can individualize the worksheets to the level you want, making one worksheet for the whole class to a different one for each students (and all stops in between). It also means a level can be repeated as many times as needed throughout the year to consolidate the required skills and knowledge.
To see an example of how this works download for free: Order of Operations with no exponents FREEBIE
Answers are generated every time you click on the button and create a new worksheet.
Note: These resources work on a Windows or Mac computer with the official Adobe Acrobat Reader.
You may also like: Order of Operations with exponents
Also ….. this resource has been combined with Order of Operations Exponents to create Order of Operations with and without Exponents – BUNDLE
