School Administrative District #4
Unity of purpose
CORE CURRICULUM: SCOPE AND SEQUENCE
Department: Mathematics
CONTENT STANDARD: NUMBERS AND NUMBER SENSE
Students will understand and demonstrate a sense of what numbers mean and how they are used. Numbers are used to describe and interpret phenomena. Building a sense of number relationships is essential for developing the ability to deal with any set of numbers. Number sense involves understanding the meaning of numbers, relationships among numbers, relative number magnitudes, and the effects of operations on numbers. Skilled estimation is also an important component of number sense.
Performance Indicators: The learner will·
|
Kindergarten |
1. Review and extend prior learning
2. Demonstrate an understanding of what numbers mean, e.g. that the number 7 stands for a group of objects
3. Understand that numbers have many uses (e.g., prices, recipes, measurement)
4. Recognize numbers for sets of 20 or more objects
5. Read, write, order, and compare numbers from 0 to 20
6. Identify fractions of a region or a set
á Halves
|
Grade 1 |
1. Review and extend prior learning
2. Demonstrate an understanding of place value
3. Read and write numbers through 50 for objects grouped by tens and ones
4. Read, write, order, and compare numbers through 99
5. Recognize and use ordinal numbers to tenths
6. Count by two's, five's, and ten's
7. Identify fractions of a region or a set
á Thirds
á Fourths
|
Grade 2 |
1. Review and extend prior learning
2. Read and write three-digit numbers for objects grouped by hundreds, tens, and ones
3. Read, write, count, order, and compare numbers through 999
4. Read and write money notation through three digits
á Count a collection of currency and coins through $9.99
5. Recognize even and odd numbers
6. Count by three's
7. Write fractions of a region or a set
á Halves
á Thirds
á Fourths
á Fifths
á Sixths
8. Recognize and use ordinal numbers through twenty-fifth
|
Grade 3 |
1. Review and extend prior learning
2. Read, write, order, compare, and explain numbers through four digits
3. Read and write money notation through four digits
4. Recognize and use ordinal numbers through fortieth
5. Read, write, and explain simple fractions through tenths
6. Demonstrate an initial understanding of decimals through tenths
|
Grade 4 |
1. Review and extend prior learning
2. Read, write, order, compare, and explain numbers through six digits
3. Read, write, and use Roman numerals involving combinations of
á I
á V
á X
4. Compare and order simple fractions through tenths
5. Read, write, compare, order, and explain decimals through tenths
6. Demonstrate knowledge of the meaning and use of whole numbers, fractions, and decimals
|
Grade 5 |
1. Review and extend prior learning
2. Read, write, order, compare, and explain numbers through nine digits
3. Read, write, and use Roman numerals involving combinations of
á L
á C
4. Read, write, compare, order, and explain decimals through hundredths
5. Recognize and use
á Factors
á Multiples
6. Demonstrate an initial understanding of the concept
á Percent
|
Grade 6 |
1. Review and extend prior learning
2. Read, write, order, compare, and explain numbers through twelve digits
3. Analyze algorithms
4. Read, write, compare, order, and explain decimals through thousandths
5. Use numbers in a variety of equivalent and interchangeable forms
á Fractions
á Decimals
á Percents
6. Read, write, and use Roman numerals involving combinations of
á D
á M
7. Recognize and use
á Prime numbers
á Composite numbers
8. Demonstrate an initial understanding of the concept
á Integers
á Ratio
á Proportion
á Exponents
á Square roots
|
Grade 7 |
1. Review and extend prior learning
2. Use numbers in a variety of equivalent and interchangeable forms in problem solving
á Integers
á Exponents
3. Demonstrate an initial understanding of the concept
á Absolute value
á Scientific notation
4. Apply concepts of ratios, proportions, percents, and number theory (e.g., primes, factors, and multiples) in practical and other mathematical situations
|
Grade 8 |
1. Review and extend prior learning
2. Use numbers in a variety of equivalent and interchangeable forms
á Scientific notation
3. Demonstrate an initial understanding of how to use numbers in a variety of equivalent and interchangeable forms in problem solving
á Integers
á Fractions
á Decimals
á Percents
|
Grade 9 |
1. Review and extend prior learning
2. Describe the structure of the real number system and identify its appropriate applications and limitations
3. Use numbers in a variety of equivalent and interchangeable forms in problem solving
á Integers
á Fractions
á Decimals
á Percents
á Exponents
á Scientific notation
á Irrational numbers
|
Grade 10 |
1. Review and extend prior learning
|
Grade 11 |
1. Review and extend prior learning
2. Explain what complex numbers (real and imaginary) mean and describe some of their many uses
|
Grade 12 |
1. Review and extend prior learning