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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?
- How do I slove the X(7 votes)
- what does X stand for?(3 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.(2 votes)
- Why 2x(3x+1)? What are the x's for?(2 votes)
- how come dividing by a fraction gives you more?
ex: 6/0.5=12 How does that work?(1 vote)- Dividing by less than one gives you more.
We can review the 'number of additions' definition of division, where we count up by the denominator some number of times to the numerator.
In 6/0.5, we find how many times 0.5 fits into 6. It just so happens that 0.5 is 1/2, so 2 of these fit into 1, which makes 12 0.5s fit into 6.
If you count up by less than 1, it will take more counts to get to the number!
Hope this helped.(0 votes)
- yeah the equation in the first paragraph is 2 x (3x+1)not 2 + (3x + 1(0 votes)
- Why is it called Algebraic Thinking?(0 votes)
- way to times a nummber by0(0 votes)
- it is -0.833333333333(0 votes)
- How do we find relationships between two patterns.(0 votes)
- that was easy not to brag to some certain people(0 votes)
- can u please explain this to a 7th grader?(0 votes)