- Recognize, describe, extend, and create patterns.
- Descriptions using words, number sentences/expressions,
graphs, tables, variables (e.g., shape, blank, or letter)
- Sequences that stop or that continue infinitely
- Whole number patterns that grow or shrink as a result
of repeatedly adding, subtracting, multiplying by, or dividing
by a fixed number (e.g., 5, 8, 11, . . . or 800, 400, 200,
. . .)
- Sequences can often be extended in more than one way (e.g.,
the next term after 1, 2, 4, . . . could be 8, or 7, or
… )
| B. Functions
and Relationships [4.3.4.B] |
|
- Use concrete and pictorial models to explore the basic concept
of a function.
- Input/output tables, T-charts
- Combining two function machines
- Reversing a function machine
- Recognize and describe change in quantities.
- Graphs representing change over time (e.g., temperature,
height)
- How change in one physical quantity can produce a corresponding
change in another (e.g., pitch of a sound depends on the
rate of vibration)
- Construct and solve simple open sentences involving any one
operation (e.g., 3 x 6 = __,
n = 15 ¸ 3, 3 x __ = 0, 16 - c = 7).
- Understand, name, and apply the properties of operations and
numbers.
- Commutative (e.g., 3 x 7 = 7 x 3)
- Identity element for multiplication is 1 (e.g., 1 x 8
= 8)
- Associative (e.g., 2 x 4 x 25 can be found by first multiplying
either 2 x 4 or 4 x 25)
- Division by zero is undefined
- Any number multiplied by zero is zero.
- Understand and use the concepts of equals, less than, and
greater than in simple number sentences.
|
