| 2.1 Understand and apply concepts related
to numbers, number systems, and number relationships |
2.1 Grade 3
(Numbers, number systems, and number relationships) |
2.1 Grade 5
(Numbers, number systems, and number relationships) |
2.1 Grade 8
(Numbers, number systems, and number relationships) |
2.1 Grade 11
(Numbers, number systems, and number relationships) |
| A. Types of numbers (whole, prime, irrational, complex,
etc.) |
A1. Count using whole numbers (to 10,000) and by 2’s, 3’s, 5’s,
10’s, 25’s, and 100’s. |
A1. Use expanded notation to represent whole numbers or decimals. |
A1. Represent and use numbers in equivalent forms (integers,
fractions, decimals, percents, exponents, scientific notation, and square
roots). |
A1. Use operations such as opposite, reciprocal, absolute
value, raising to a power, finding roots, and logarithms. |
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A2. Apply number patterns (even and odd) and compare values
of numbers on the hundred board. |
A2. Develop and apply number theory concepts (e.g., primes,
factors, multiples, and composites) to represent numbers in various ways. |
A2. Simplify numerical expressions involving exponents, scientific
notation, and using order of operations. |
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A3. Use concrete objects to count, order, and group. |
A3. Use simple concepts of negative numbers such as on a number
line, in counting, and temperature. |
A3. Distinguish between and order rational and irrational numbers. |
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A4. Demonstrate understanding of one-to-one correspondence. |
A4. Apply base ten place value concepts to hundred billions. |
A4. Apply ratio and proportion to mathematical problem situations
involving distance, rate, and time. |
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A5. Apply base ten place-value concepts and numeration to counting,
ordering, and grouping. |
A5. Describe and compare quantities by using whole numbers up
to hundred billions. |
A5. Simplify and expand algebraic expressions using exponential
forms. |
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A6. Use the number line model to demonstrate integers and their
applications. |
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A7. Use the inverse relationships between addition, subtraction,
multiplication, division, and exponential and root extraction to determine
unknown quantities in equations. |
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| B. Equivalent forms (fractions, decimals, percents,
etc.) |
B1. Use whole numbers and fractions to represent quantities. |
B1. Apply number theory concepts to rename a number quantity. |
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B2. Represent equivalent forms of the same number through the
use of concrete objects, drawings, word names, and symbols. |
B2. Use models to represent fractions and decimals. |
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B3. Use drawings, diagrams, or models to show the concept of
fraction as part of a whole. |
B3. Describe and compare quantities by using simple decimals. |
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B4. Recognize the relationship between fractions, decimals,
and percents. |
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