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### Course: 5th grade > Unit 13

Lesson 2: Number patterns- Graphing patterns on coordinate plane
- Interpreting patterns on coordinate plane
- Interpreting relationships in ordered pairs
- Graphing sequence relationships
- Rules that relate 2 variables
- Tables from rules that relate 2 variables
- Graphs of rules that relate 2 variables
- Extend patterns
- Relationships between 2 patterns
- Algebraic thinking: FAQ

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# Algebraic thinking: FAQ

Frequently asked questions about algebraic thinking.

## What are parentheses used for in algebraic expressions?

Parentheses help us group terms together and clarify the order of operations. For example, in the expression $2\times (3x+1)$ , we would first add $3x$ and $1$ together, and then multiply the sum by $2$ .

Try it yourself with this exercise:

## Why do we need to translate expressions with parentheses?

Translating expressions with parentheses helps us understand what the expression is trying to communicate. For example, we might translate $2x\times (3x+1)$ to "add the sum of $3x$ and $1$ , then multiply $2x$ by the sum".

Try it yourself with this exercise:

## How do we create expressions with parentheses?

It's all about grouping terms together. For example, we might write $5x+7x+4$ as $5x+(7x+4)$ to show that we want to add $7x$ and $4$ together first, before adding $5x$ .

Try it yourself with this exercise:

## How do we find relationships between two patterns?

To find relationships between two patterns, we look for similarities or differences. For example, we might notice that the pattern $2x+1$ always gives us an odd number, while the pattern $2x$ always gives us an even number.

Try it yourself with these exercises:

## Is algebraic thinking useful in the real world?

Absolutely! Algebraic thinking helps us understand relationships between quantities, which is useful in a wide range of fields, from engineering to finance.

## Want to join the conversation?

- There is a mistake in the first paragraph. In the expression 2x+(3x+1) we would first add 3x and 1 together, but then you would add 2x, not multiply by 2.(19 votes)
- How? They are referring to 2 times 3x plus 1 parentheses. You do 3 plus 1 then times 2(2 votes)

- what does the x mean in 3x(5 votes)
- x is a varible and 3x means 3*x(7 votes)

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- Why is it called Algebraic Thinking?(2 votes)
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- idk how khan makes this so hard to do(2 votes)