NC.4.NBT.5
Multiply a whole number of up to three digits by a one-digit whole number, and multiply up to two two-digit numbers with place value understanding using area models, partial products, and the properties of operations. Use models to make connections and to develop the algorithm.
NC.4.NBT.6
Find whole number quotients and remainders with up to three-digit dividends and one-digit divisors with place value understanding using rectangular arrays, area models, repeated subtraction, partial quotients, properties of operations, and/or the relationship between multiplication and division.
NC.4.MD.3
Solve problems with area and perimeter.
Find areas of rectilinear figures with known side lengths.
Solve problems involving a fixed area and varying perimeters with a fixed perimeter and varying areas.
Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
NC.4.OA.3 Solve two-step word problems involving the four operations with whole numbers.
Use estimation strategies to assess reasonableness of answers.
Interpret remainders in word problems.
Represent problems using equations with a letter standing for the unknown quantity.
NC.4.NF.1 Explain why a fraction is equivalent to another fraction by using area and length fraction models, with attention to how the numbers and size of the parts differ even though the two fractions themselves are the same size.
NC.4.NF.2 Compare two fractions with different numerators and different denominators, using the denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or < and justify the conclusions by:
reasoning about their size and using area and length models
using benchmark fractions 0, ½, and a whole
comparing common numerator or common denominators