# Vertical Learning Trajectory

Problem Solving Strand

3.5 solve practical problems that involve addition and subtraction with proper fractions having like denominators of 12 or less

4.5c solve single-step practical problems involving addition and subtraction with fractions and mixed numbers

4.6b solve single-step and multistep practical problems involving addition and subtraction with decimals

5.4 create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of whole numbers

5.5b create and solve single-step and multistep practical problems involving addition, subtraction, and multiplication of decimals, and create and solve single-step practical problems involving division of decimals

5.6a solve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers

5.6b solve single-step practical problems involving multiplication of a whole number, limited to 12 or less, and a proper fraction, with models*

6.5b solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers

6.5c solve multistep practical problems involving addition, subtraction, multiplication, and division of decimals

6.6b solve practical problems involving operations with integers

7.2 solve practical problems involving operations with rational numbers

7.3 solve single-step and multistep practical problems, using proportional reasoning

8.4 solve practical problems involving consumer applications