# DIY Activity Ideas for Teaching and Demonstrating Algebra and Factorization

## Are you a high school teacher or a homeschooling parent looking for creative ways to teach algebra and factorization? Here are three engaging activities that will make learning these concepts fun and interactive for your students or children. Let's dive in!

Where is algebra used in real life?

A business person makes use of algebraic operations to calculate the profits or losses incurred.

Also, the business person needs to calculate the lowest price at which an item can be sold to still cover the expenses.

Physical and chemical sciences employ the  basics of algebraic equations. In The case of computer sciences, the algorithms are based on the algebraic operations only. Moreover, algebra is involved in the field of art and architecture to calculate correct proportions so as to put forth a masterpiece.

In real life algebra factorisation is mostly used in encryption and decryption of data, secret
messages. It is also used in computer science for coding.

Why is Algebra Important?
If I run an online toy store, why is algebra important to me as a business owner? I need to be able to calculate my profit margin on any given item and decide whether it is worthwhile to stock it in my store.  I also need to calculate what’s the lowest price I can sell an item for and still make enough money to cover expenses. Algebra makes the day to day things much simpler and less time-consuming.

# Activity 1: Factorization Game

## Materials Required:

• Foam pieces marked as -x, +x, -x^2, +x^2, +1, -1 (sizes should vary based on the value indicated on the sheet),
• a set of expression challenges, a large flat surface.
##### Procedure:
• Begin by explaining the concept of factorization to the students or children. Discuss the importance of breaking down algebraic expressions into their factors.
• Introduce the foam pieces representing different algebraic terms.
• Divide the participants into groups and provide each group with a set of expression challenges ranging from easy to difficult (Level 1 to Level 3).
• Instruct the students or children to arrange the foam pieces into a square or rectangle shape to represent the given expression challenge.
• Encourage them to discuss and collaborate within their groups to determine the correct arrangement of foam pieces.
• Once they have completed a challenge, review their solutions and provide feedback.
• Progress to higher levels of difficulty as the participants gain confidence and understanding.

## Materials Required:

• Play money,
• a variety of small items for trading (e.g., toys, stationary items, snacks),
##### Procedure:
• Explain the concept of buying and selling for profit in a simplified manner.
• Set up a trading area where participants can display their items for trade.
• Distribute play money equally among the participants.
• Instruct them to negotiate trades with each other using the play money and items they have.
• Encourage the participants to consider factors such as value, demand, and scarcity when making trading decisions.
• Monitor the trading activities, ensuring fairness and guiding the participants if needed.
• Conclude the activity by discussing the strategies employed by the participants and the importance of considering factors in trading

# Activity 3: DIY Multiplication Tool for Algebra Expressions

## Materials Required:

##### Procedure:
• Introduce the concept of algebraic multiplication and the need for simplification.
• Distribute index cards to the participants.
• Instruct them to divide each index card into four equal sections using a marker.
• Ask the participants to write different algebraic expressions on each section, focusing on multiplication.
• Once they have written expressions on all the sections, guide them to simplify each expression using factorization.
• Assist the participants in cutting the index cards along the lines to separate the sections.
• Discuss the simplified expressions and emphasize the importance of factorization in algebra.

# Instruction Video on Algebra and Factorization

## Quick understanding on Algebra and Factorization

Conclusion:
These DIY activities provide hands-on experiences that make learning algebra and factorization more enjoyable and accessible. By engaging in these interactive exercises, high school students and homeschooling children will develop a solid understanding of these fundamental concepts in mathematics. Have fun exploring the world of algebra!