19 Fun Completing The Square Activities

Let’s face it; not everyone is good at math. It can be daunting for some students! However, with our collection of engaging activities, videos, and projects, you can help your students succeed while learning to love mathematics. Completing the square activities are a fun way to solidify your students’ knowledge of solving quadratic equations. So, let’s explore 19 ideas together! 

1. Completing The Square Scavenger Hunt

This printable scavenger hunt is a fun and exciting way to teach and solidify quadratic expressions. Simply print out the pages on colored paper and place them around the room or even around the school. Then, give each student a worksheet on which they can write their answers. They need to solve each equation before they can move on to the next one.

Learn More: Teachers Pay Teachers

2. Algebra Tiles on Polypad

Algebra tiles are a great way to help students make the connection between the symbolic algebraic expression and the physical geometrical representation by using area models. By using the polypad canvas, your students can learn how to form squares with tiles.

Learn More: Mathigon

3. Completing The Square Video Song

This video will teach your students a fun jingle to help them complete the square of a quadratic function. Furthermore, it can help students practice various solution strategies. 

Learn More: MooMoo Math

4. Real Algebra Tiles

A great way to teach your students a quadratic formula is to have them create perfect squares with algebra tiles. These algebra tile manipulatives are a great way to help students create fun solutions to their quadratic problems.

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5. Perfect Square Trinomials

This website provides a step-by-step explanation of how to solve the square. It includes a simple expression and a long way. After working through some example questions, your learners can practice different quadratic equations that will display the correct answer after they have completed them. 

Learn More: Kate’s Math Lessons

6. Complete The Square Root Game

This fun game is the perfect activity for students to practice or review how to solve the square steps and expressions. Start by writing equations of varying degrees of difficulty on index cards. Your learners can then work in groups and decide which to complete first. The group that correctly completes the most can win a prize.

Learn More: My Web 2.0 Journey

7. Intro To Completing The Square

This step-by-step tutorial will help your students understand polynomial equations, perfect square trinomials, and equivalent binomial squares. They will also learn how to use those patterns to change standard-form equations to vertex form. 

Learn More: The All Around Math Guy

8. Magic Square Puzzle Worksheet

This printable activity makes for a fun mini-lesson that your students can complete as a brain break in between bigger tasks. It can also be fun for students to complete in a group setting.

Learn More: Tim’s Printables

9. Hands-On Squares

This practical, hands-on activity will help your students understand the concept of the square root and how to visualize geometric progressions. You will need a piece of paper for each square you would like them to represent. 

Learn More: My Teaching Trunk

10. Complete The Square Negative Coefficient

This video will help students complete the square when a is negative. They will need to learn the standard form but also what to do when it has a negative in the equation. This video features two different representations to solve for negative a.

Learn More: Mark Willis

11. How To Graph Conic Sections

This mini-lesson is the perfect introduction to the conic form. The informative video will teach your students how to graph conic sections such as circles, parabolas, and hyperbolas and also teach them how to write in standard form by completing the square. 

Learn More: The Organic Chemistry Tutor

12. Completing The Square Formula Explained

It can be hard to work with formulas if you don’t understand the basics! This activity is devoted to teaching students the square formula method steps and how to use them to solve quadratic equations. 

Learn More: Mashup Math

13. Sketch The Graph

This simple worksheet will afford your students extra practice in completing the square and also show them how to use their answers to sketch the quadratic graph. 

Learn More: TES

14. Quadratic Equations Task Cards

This fun lesson can be completed in groups or pairs of students. Simply print out the worksheets with task cards and allow students to solve the equations. The group that solves all problems first wins! 

Learn More: Teachers Pay Teachers

15. Guided Notes On How To Complete The Square

This great resource will help students learn how to convert a quadratic equation from standard to vertex form.

Learn More: Teachers Pay Teachers

16. Completing The Square Activity Sessions

This interactive activity prompts learners to work systematically through solving equations in a step-by-step fashion. Each step has them enter their answer to ensure it’s correct before progressing to the next step.

Learn More: Desmos Classroom

17. Lesson Plan With Videos

In this activity, students will learn how to rewrite and solve quadratic equations and properly apply the square root. They will also learn how to use the constant sign to determine the number of solutions to the problem. 

Learn More: Nagwa

18. Algebra 2 Completing The Square

This interactive task will allow your students to practice and perfect their square equation activities. The lesson plan includes vocabulary, objectives, and other related activities.

Learn More: Texas Instruments

19. Real-Time Problem Solving

This fun online activity allows students to complete several completing square activities in real-time. Once they enter their answers, the system will automatically display the correct choice. They can also choose from four levels of varying degrees of difficulty to ensure that they’re constantly improving! 

Learn More: Transum