Grade 1:
Students will discuss and model (concretely, pictorially, and symbolically) problem situations involving basic addition to sums of 18 and basic subtraction (takeaway, counting on/missing addend, comparison).
Grade 2:
Students will discuss and model (concretely, pictorially, and symbolically) problem situations involving 2- digit addition with and without carrying and 2- digit subtraction with and without regrouping.
Grade 3:
Students will discuss and model (concretely, pictorially, and symbolically) problem situations involving: 3- or more digit addition and subtraction; basic multiplication to 10 (repeated addition, array/area, combinations/ Cartesian products) and division to 10 (measurement, partitioning); multiplication of a multi-digit number by a single-digit number with and without regrouping; and dividing a multi-digit number by single-digit number with and without a remainder.
Grade 4:
Students will discuss and model (concretely, pictorially, symbolically) problem situations involving 2- and 3-digit multiplication and long division with dividends up to four digits and divisors of one and two digits.
Grade 5:
The student will: add and subtract fractions and/or mixed numbers with and without like denominators using manipulatives; multiply a whole number by a fraction; divide numbers with a decimal in the dividend (e.g., $4.25 5 = $0.85); use appropriate software technology to demonstrate competence with rational number computations.
Grade 6:
The student will: divide numbers with a decimal in the divisor and the dividend (e.g., $4.25 $0.50 = 8.5); add and subtract fractions without like denominators; multiply fractions and decimals using manipulatives, pictures, and technology to develop the concepts symbolically; use appropriate technology (i.e., software, calculators with fraction capabilities, etc.) to explore rational number computations.
Grade 7:
The student will: add, subtract, and multiply decimals, fractions, and mixed numbers; use manipulatives, pictures, and technology to develop the symbolic concepts of addition, subtraction, multiplication, and division of positive and negative integers.
Grade 8:
The student will: use manipulatives, pictures, symbols and technology to add, subtract, multiply, and divide decimals, integers, fractions, and mixed numbers with and without variables to investigate real-world situations; identify and use rational number properties.
|
