Operations & Algebraic Thinking

 Common Core Standard © AASL Learning Standard(s) 5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 2.1.6 - Use the writing process, media and visual literacy, and technology skills to create products that express new understandings. 5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. 2.1.6 - Use the writing process, media and visual literacy, and technology skills to create products that express new understandings. 5.OA.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. 2.1.1 - Continue an inquiry-based research process by applying critical-thinking skills (analysis, synthesis, evaluation, organization) to information and knowledge in order to construct new understandings, draw conclusions, and create new knowledge.

Number & Operations in Base Ten

 Common Core Standard © AASL Learning Standard(s) 5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. 1.1.6 - Read, view, and listen for information presented in any format (e.g., textual, visual, media, digital) in order to make inferences and gather meaning. 5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. 3.1.3 - Use writing and speaking skills to communicate new understandings effectively. 5.NBT.3.a. Read, write, and compare decimals to thousandths: Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). 2.1.3 - Use strategies to draw conclusions from information and apply knowledge to curricular areas, real-world situations, and further investigations. 3.1.3 - Use writing and speaking skills to communicate new understandings effectively. 5.NBT.3.b. Read, write, and compare decimals to thousandths: Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 2.1.3 - Use strategies to draw conclusions from information and apply knowledge to curricular areas, real-world situations, and further investigations. 5.NBT.4. Use place value understanding to round decimals to any place. 2.1.3 - Use strategies to draw conclusions from information and apply knowledge to curricular areas, real-world situations, and further investigations. 5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm. 2.1.6 - Use the writing process, media and visual literacy, and technology skills to create products that express new understandings. 5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 2.1.3 - Use strategies to draw conclusions from information and apply knowledge to curricular areas, real-world situations, and further investigations. 2.1.6 - Use the writing process, media and visual literacy, and technology skills to create products that express new understandings. 5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. 2.1.3 - Use strategies to draw conclusions from information and apply knowledge to curricular areas, real-world situations, and further investigations. 3.1.3 - Use writing and speaking skills to communicate new understandings effectively.