School Administrative District #4
Unity of purpose
CORE CURRICULUM: SCOPE AND SEQUENCE
Department: Mathematics
CONTENT STANDARD: COMPUTATION
Students will understand and demonstrate computation skills. Computation involves understanding the fundamental operations of and relationships between and among addition, subtraction, multiplication, and division. Proficiency in computational skills requires that students learn to evaluate the reasonableness of an answer and to obtain accuracy in calculations with ever-increasing ease and confidence, with and without technological tools.
Performance Indicators: The learner will·
|
Kindergarten |
1. Review and extend prior learning
2. Demonstrate an understanding of the processes of addition and subtraction
3. Use a variety of materials, strategies, and symbols to manipulate and communicate
á Whole numbers
á Addition of the number 1 or the number 2 to a one-digit positive number
á Subtraction of the number 1 or the number 2 from a one-digit positive number
|
Grade 1 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate and communicate
á Whole numbers
á Addition of one-digit positive numbers with sums less than or equal to 12
á Subtraction of one-digit positive numbers with minuends less than or equal to 12
á Addition of two-digit positive numbers without trading
á Subtraction of two-digit positive numbers without trading
3. Use and apply estimations with
á Quantities
á Computations
|
Grade 2 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate and communicate
á Whole numbers
á Addition of one-digit positive numbers with sums less than or equal to 18
á Subtraction of one-digit positive numbers with minuends less than or equal to 18
á Addition of three or more one-digit positive numbers
á Addition of two three-digit positive numbers
á Subtraction of two-digit positive numbers
á Multiplication of one-digit positive numbers less than or equal to 5
á Money notation
á Addition, e.g., $1.25 + $2.30 = $3.55
3. Use and apply estimations with
á Measurements
á Problem-solving
|
Grade 3 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate and communicate
á Whole numbers
á Addition of three or more two-digit positive numbers
á Addition of two four-digit positive numbers
á Subtraction of three-digit positive numbers
á Subtraction of four-digit positive numbers
á Multiplication of one-digit positive numbers from 6 to 10
á Multiplication of two-digit positive numbers by one-digit positive numbers
á Division with quotients and divisors less than or equal to 9 without remainders
á Division by one-digit positive numbers with and without remainders
á Money notation
á Subtraction, e.g., $3.55 - $2.30 = $1.25
3. Memorize basic facts related to
á Addition up to 9 + 9
á Subtraction up to 18 - 9
4. Demonstrate an initial understanding of rounding numbers
5. Demonstrate and explain computations
á Using appropriate tools and technology
6. Solve real-life problems involving
á Addition of whole numbers
á Subtraction of whole numbers
|
Grade 4 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate and communicate
á Whole numbers
á Multiplication of three-or-more-digit positive numbers by two-digit positive numbers
á Division by two-digit positive numbers
á Fractions
á Addition with like denominators
á Subtraction with like denominators
3. Memorize basic facts related to
á Multiplication up to 5 x 10
4. Round numbers to the nearest
á Ten
á Hundred
5. Demonstrate an initial understanding of rounding numbers to the nearest
á Thousand
6. Demonstrate an initial understanding of the order of operations
7. Demonstrate and explain computations
á Defending the reasonableness of a result/answer
8. Use estimation to determine the reasonableness of a result/answer
9. Solve real-life problems involving
á Addition and subtraction of simple fractions with like denominators
á Multiplication of whole numbers
á Division of whole numbers
|
Grade 5 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate and communicate
á Fractions
á Multiplication
3. Memorize basic facts related to
á Multiplication up to 10 x 10
á Division up to 50 ü 5
4. Round numbers to the nearest
á Thousand
á Million
5. Apply estimation to real life situations
6. Apply the order of operations to problem solving
á Parentheses
7. Solve multi-step, real-life problems involving
á Addition and subtraction of simple fractions with like denominators
á Multiplication of fractions
8. Create, solve, and justify the solution to multi-step, real-life word problems, using
á Whole numbers
|
Grade 6 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate
á Whole numbers
á Division by three-or-more-digit positive numbers
á Fractions
á Addition with unlike denominators
á Subtraction with unlike denominators
á Division
3. Memorize basic facts related to
á Multiplication up to 12 x 12
á Division up to 100 ü 10
4. Round decimal numbers to the nearest thousandth
5. Apply the order of operations to problems involving
á Multiple parentheses
6. Solve multi-step, real-life problems involving
á Addition and subtraction of simple fractions with unlike denominators
7. Recognize when a solution to a problem needs to be simplified and simplify it
8. Use a variety of materials, strategies, and symbols to manipulate operations with number systems other than base ten
á Adding and subtracting
á Time
á Seconds
á Minutes
á Hours
á Days
á Months
á Years
á Distance
á Inches
á Feet
á Yards
á Miles
á Volume
á Cups
á Pints
á Quarts
á Gallons
á Mass
á Ounces
á Pounds
á Tons
9. Create, solve, and justify the solution to multi-step, real-life problems, using
á Fractions
|
Grade 7 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate and communicate
á Whole numbers
á Ratio
á Proportion
á Exponents
á Square roots
3. Memorize basic facts related to
á Division up to 144 ü 12
4. Using correct terminology, compute and model all four operations with
á Decimals
á Percents
á Integers
5. Apply the order of operations to problems involving
á Multiple operations
6. Use a variety of materials, strategies, and symbols to manipulate operations with number systems other than base ten
á Adding and subtracting
á Volume
á Fluid ounces
á Teaspoons
á Tablespoons
á Multiplying and dividing
á Time
á Seconds
á Minutes
á Hours
á Days
á Months
á Years
á Distance
á Inches
á Feet
á Yards
á Miles
á Volume
á Cups
á Pints
á Quarts
á Gallons
á Fluid ounces
á Teaspoons
á Tablespoons
á Mass
á Ounces
á Pounds
á Tons
7. Solve multi-step, real-life problems involving
á Division of fractions
8. Create, solve, and justify the solution to multi-step, real-life problems, using
á Decimals
á Percents
|
Grade 8 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate and communicate
á Scientific notation
3. Apply the order of operations to problems involving
á Exponents
á Square roots
á Absolute value
4. Create, solve, and justify the solution to multi-step, real-life problems, using
á Ratio
á Proportion
|
Grade 9 |
1. Review and extend prior learning
2. Use a variety of materials, strategies, and symbols to manipulate and communicate
á Real numbers
3. Create, solve, and justify the solution to multi-step, real-life problems, using
á Inverse proportion
|
Grade 10 |
1. Review and extend prior learning
2. Use various techniques to approximate solutions to real-life and abstract problems, determine the reasonableness of answers to those problems, and justify the results
|
Grade 11 |
1. Review and extend prior learning
|
Grade 12 |
1. Review and extend prior learning