Colorado Academic Standards (CAS)
CO.4.1. Number Sense, Properties, and Operations
4.1.3. Formulate, represent, and use algorithms to compute with flexibility, accuracy, and efficiency. Students can:
4.1.3.a. Use place value understanding and properties of operations to perform multi-digit arithmetic. (CCSS: 4.NBT)
4.1.3.a.i. Fluently add and subtract multi-digit whole numbers using standard algorithms. (CCSS: 4.NBT.4)
4.1.3.a.ii. Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. (CCSS: 4.NBT.5)
4.1.3.a.iv. Illustrate and explain multiplication and division calculation by using equations, rectangular arrays, and/or area models. (CCSS: 4.NBT.6)
4.1.3.b. Use the four operations with whole numbers to solve problems. (CCSS: 4.OA)
4.1.3.b.iv. Solve multistep word problems posed with whole numbers and having whole number answers using the four operations, including problems in which remainders must be interpreted. (CCSS: 4.OA.3)
4.1.3.b.vii. Using the four operations analyze the relationship between choice and opportunity cost (PFL).
CO.4.2. Patterns, Functions, and Algebraic Structures
4.2.1. Number patterns and relationships can be represented by symbols. Students can:
4.2.1.a. Generate and analyze patterns and identify apparent features of the pattern that were not explicit in the rule itself. (CCSS: 4.OA.5)
4.2.1.a.ii. Use a symbol to represent and find an unknown quantity in a problem situation.
4.2.1.a.iv. Find the unknown in simple equations.