It involves generating two numerical terms according to the given rules and then finding out apparent relationships between the two terms. Thes two terms can form an ordered pair. This ordered pair can then be represented on the co-ordinate axis.

For example, given the rule “add 5” and starting number 2 and given the rule “add 3” and starting number 11.

1. 2+5=7

2. 11+3=14

Observe the relationship that the term in the second sequence is twice of the term in first one.

**Examples**

Let’s solve some practice example questions that will help us to learn concepts better.

1. Evaluate the expression 4(9+6-2)

**Solution **

Let’s first evaluate the expression inside the parentheses. You should always solve the expression in parentheses first and then gradually move out. Here,

9+6-2=15-2

= 13

Now, multiply 4 to the evaluated term from the parentheses.

2. Record the expression: Three times the sum of 68 and 28

**Solution **

Let’s focus on the latter part of the expression. You need the sum of 68 and 28. It can be written as 68+28.

Now, you know that this is not the final answer so you should put pare theses around this, i.e., (68+28).

According to the question, you need three times the sum of 68 and 28. So, the final recorded expression is

3. Evaluate the two patterns and find the relationship between them.

Pattern x : Starting number = 5, Rule = Add 5.

Pattern y : Starting number = 10, Rule = Multiply 2.

**Solution **

Pattern x: You have to add 5 to the starting number 5.

5+5=10

Pattern y : You have to multiply 2 with the starting number 10.

102=20

Pattern x evaluates to 10 and pattern y evaluates to 20. What is the apparent relationship between the two?

Yes, y is two times of x! |

**Summary**

In this article, you learned what algebraic thinking is and how to apply it in problems. Then you learned about the concepts of algebraic thinking in grade 5 through the help of some examples and questions.

Operations and algebraic thinking of grade 5 is easy if you have the basic functions of mathematics clear in your head. You can get better by practicing more and solving more algebraic thinking worksheets.

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**FAQs on Algebraic thinking**

**What is algebraic thinking?**

Algebraic thinking is about recognizing and analyzing patterns, studying and representing relationships, making generalizations, and analyzing how things change. A good foundation of algebraic thinking helps in further formal studies in algebra and higher mathematics.

**How to learn algebraic thinking?**

The best way to learn algebraic thinking is to practice the basic operations of mathematics and solving practice problems related to it from your textbooks and homework assignments. You can also take the help of resources such as youtube videos, blogs etc. to understand algebraic expressions better.