Term
| variables used as quantities that vary |
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Definition
can represent more than one missing value.
-represents a relationship between the two.
ex y= 3x + 5 |
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Term
| why is the equal sign misunderstood |
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Definition
Students often relate the equal sign to a problem on one side and a solution on the other.
they need to see that both sides are equivalent
(conceptualize as a balance) |
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Term
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Definition
1. variables used as unknown values
2. simplifying expressions and equations
3. variables as quantiites that vary |
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Term
| Variables used as unknown values |
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Definition
First experience with variables!
ex. n+n+7 = n+17
n=10
10+10+7=10+17
27=27 |
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Term
| Simplifying Expressions and Equations (variables) |
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Definition
Solving a problem for x.
(essential to algebra)
* a place holder in a generalized expression or formula |
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Term
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Definition
-almost all involve some form of physical materials
-always provide at least two cores (complete)
-challange students to focus on relationships of repeated patterns and translate patterns from one medium to another. |
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Term
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Definition
| in a repeating pattern; it is the shortest string of elements that repeats |
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Term
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Definition
| Skip counding or along diagonals (number patterns) |
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Term
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Definition
evens, odds, perfect squares, double the # and add one, etc
-not only should students be able to extend the pattern, but they should also be able to figure out the "rule" |
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Term
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Definition
1,1,2,3,5,8,13,21,...
examples in real world:
sets of spirals that go in opposite directions on a pineapple, pinecone, or seeds of a sunflower.
*2 numbers will be adjacent numbers |
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Term
| Growing patterns (sequence) |
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Definition
| involves a progression from step to step; can be used to introduce a function |
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Term
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Definition
made up of any growing pattern.
one row is always "step" and the other is for recording how many elements are in the step |
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Term
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Definition
the progression from one frame to the next
-or step to step
can be observed in the physical pattern |
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