Computation & Algebraic Reasoning

5.CAR.1Use computational fluency to multiply multi-digit whole numbers by using strategies and algorithms, including the standard algorithm, with mastery by the end of fifth grade.5.CAR.10Solve real-world problems involving the division of natural numbers leading to answers in the form of fractions or mixed numbers using visual models and equations.5.CAR.11Solve real-world problems involving the division of unit fractions by whole numbers and whole numbers by unit fractions, using visual fraction models and equations.5.CAR.12Evaluate numerical expressions with parentheses or brackets and exponents with the base of ten, using the Order of Operations.5.CAR.13Write simple expressions that record calculations with numbers, interpreting numerical expressions without evaluating them.5.CAR.14Generate two numerical patterns given two rules, identifying the relationship between the corresponding terms by graphing the terms in the first quadrant of the coordinate grid.5.CAR.2Calculate whole number quotients of whole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value, properties of operations, divisibility rules, and the relationship between multiplication and division.5.CAR.3Add and subtract decimals to the hundredths using concrete models or drawings and strategies based on place value, properties of operations, or the relationship between addition and subtraction.5.CAR.4Multiply and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, or the relationship between multiplication and division.5.CAR.5Add and subtract fractions with like and unlike denominators by using equivalent fractions {๐‘Ž/๐‘ = (๐‘› โˆ™ ๐‘Ž)/(๐‘› โˆ™ ๐‘)} to create common denominators; include real-world problems. Fractions include: mixed numbers5.CAR.6Interpret and solve fractions as division problems, (๐‘Ž/๐‘ = ๐‘Ž รท ๐‘), where ๐‘Ž and ๐‘ are natural numbers.5.CAR.7Use visual models and equations to multiply whole numbers by fractions and fractions by fractions, including mixed numbers and fractions greater than one.5.CAR.8Apply previous understanding of division to divide unit fractions by whole numbers and whole numbers by unit fractions.5.CAR.9Solve and create real-world problems involving multiplication of fractions and mixed numbers.
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