Order of Operations: Brackets, Multiply and Divide, Add and Subtract

About This Resource

A complete Grade 5 order of operations pack: brackets first, then multiplication and division from left to right, then addition and subtraction. Includes a lesson plan, worksheet, quiz, homework, A5 flashcards, a rubric, editable slides and Word files, and answer keys with worked steps.

Overview

Students learn why mathematicians agree on one order for working out expressions: brackets first, then multiplication and division from left to right, then addition and subtraction from left to right. They evaluate expressions with and without brackets, find and fix common mistakes, place brackets to reach a target answer and write expressions for word problems. Every expression in the pack is calculated by the generator and checked automatically.

Resource Details

Subject: Math
Topic: Order of Operations
Category: Number Sense
File Type: PDF
File Size: 339.9 KB
Published: 28 Oct 2026
Downloads: 0

Members Only

Upgrade to Teacher Pro (from ฿199/month) to download this resource.

Upgrade to Pro Login

Looking for something different? Request a Resource.

Grade 5 (ages 10–11) 50 minutes Mental calculation multi-step problem solving reasoning finding errors writing expressions

Student Task

Teach the rule with the slides and the worked example in the lesson plan.
Use the worksheet for guided and independent practice.
Give the quiz at the end of the lesson or the next day; use the rubric for the written explanations.
Send the homework page home and use the A5 flashcards for quick review.

Classroom Use

Target number game: give four numbers and a target; students use operations and brackets to reach it.
Mistake detective: show a worked example with an error and ask pairs to find and fix it.
Calculator check: compare a basic calculator and a scientific calculator on 2 + 3 × 4 and discuss the results.

Differentiation

Support: start with expressions that have only two operations and let students underline the first step. Challenge: use the target number game with five numbers and nested brackets.

Answer Key & Assessment

The quiz (18 points) checks evaluating expressions with and without brackets and explaining mistakes. The rubric gives four levels for each skill.

Learning Objectives

Evaluate expressions using the order of operations: brackets, multiplication and division, then addition and subtraction.
Work from left to right when an expression has operations of the same level (such as division and multiplication).
Use brackets to change the value of an expression and write expressions for simple word problems.

Teacher Tips

Ask students to underline the step they will do first before calculating. Writing each step on a new line stops most order-of-operations mistakes.

What's Included

11-page printable PDF lesson pack: teacher lesson plan with timings, materials and differentiation
Key vocabulary list (8 words with meanings and examples)
Student worksheet (6 activities)
Quiz / assessment (5 parts)
Homework practice page
Printable flashcards: 8 A5 picture cards (separate PDF)
Assessment rubric (4 levels)
Lesson slides (editable PowerPoint)
Editable Word version of all student pages
Complete answer key (also as a separate PDF)