Plug It In: Using Simple Formulas

About This Resource

A complete Grade 5 math pack on using simple formulas: what a formula is, how letters stand for numbers, why 4n means 4 × n, and how to substitute values into formulas for perimeter, area, cooking times, seating and game scores. Students follow the order of operations, work backwards to find a missing length, and write their own formulas from words. Includes slides with worked examples, a lesson plan, worksheet, quiz, homework, flashcards, a rubric and answer keys.

Overview

Students learn that a formula is a rule written with letters and numbers that tells us how to work something out. Each letter stands for a number, and a number written next to a letter means multiply, so 4t means 4 × t. Students substitute values into formulas for real situations such as the perimeter and area of a rectangle, the time to cook a meal, the number of chairs for tables and the points scored in a game. They follow the order of operations, work backwards to find a missing value, and turn word rules into formulas of their own.

Resource Details

Subject: Math
Topic: Using Simple Formulas
Category: Number Sense
File Type: PDF
File Size: 323.6 KB
Published: 08 Nov 2026
Downloads: 0

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Grade 5 math (ages 10–11) 50 minutes Early algebra substitution order of operations measurement problem solving

Learning Objectives

Explain what a formula is and what the letters stand for.
Substitute numbers into a formula and calculate the answer, using the order of operations.
Write a simple formula from a rule given in words.

How to Use This Resource

Start with the slides: ask how a party planner could work out how many chairs are needed for any number of tables.
Teach substitution with the worked examples on the slides, then do worksheet activities 1 and 2 together.
Students complete activities 3 to 6, then use the quiz and send the homework page home.

Classroom Activity Ideas

Formula machine: a student holds a card such as 3n + 2; classmates give values for n and the student calculates.
Real-life formula hunt: find formulas in a recipe book or a sports scoring guide and rewrite them with letters.
Table-and-chair model: arrange desks and chairs to test the formula c = 4t + 2.

Differentiation

Support: give formulas with one operation first, such as c = 4t, and a substitution frame (4 × __ = __). Challenge: students find the input that gives a certain output, such as how many stars are needed for 100 points.

Assessment

Use the worksheet and quiz to check substitution and the order of operations. Use the rubric to assess the homework, where students write and use their own formula.

Teacher Tips

Students often read 4t as 4 and t together (for example 4t with t = 5 as 45). Insist on writing the multiplication sign when substituting: 4 × 5 + 2. Remind them to multiply before adding.

What's Included

10-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 (3 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)