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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 , we would first add and together, and then multiply the sum by .
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 to "add the sum of and , then multiply 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 as to show that we want to add and together first, before adding .
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 always gives us an odd number, while the pattern 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.(26 votes)
- No, you are wrong. In the first paragraph, the expression is 2 x (3x+1), and like they say, you must first add whatever is in the parentheses and multiply the sum by 2.(1 vote)
- How do I slove the X(7 votes)
- what does X stand for?(4 votes)
- The
x
is a symbol for some value that we don't know (unknown), or a value that we would like to change (variable) to see what happens to another value that is related to it. Think of it like a box containing a hidden value, or maybe a question mark?
It's basically abstraction from arithmetic (the basic operations on numbers). You'll learn more about this in Algebra 1.(4 votes)
- Why 2x(3x+1)? What are the x's for?(4 votes)
- Why is it called Algebraic Thinking?(2 votes)
- what does the x mean after the number?(2 votes)
- How do we find relationships between two patterns.(2 votes)
- what does "x" mean?(2 votes)
- its a random number
like a variable(1 vote)
- What does the x stand for? In most algebraic questions they have you do many equations to find out what the variable is, so I would like to know what the variable, x stands for.(1 vote)
- X stands for... for... Idk but I think that its a random number or its just a variables(1 vote)
- it is -0.833333333333(1 vote)