What are your thoughts on Next Steps Document… Number and Operations in Base Ten Understand the place value system. 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. 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. Number and Operations in Base Ten Not Yet (possible gaps in learning) Standard Instructional Support Task: Where am I now? How much farther? 4.NF.6 Task 1 4.NF.6 Use decimal notation for fractions with denominators 10 or 100. Task: Is the Tire Full Yet? 4.NF.6 Task 2 Lesson: Show What You Know: Multiple Representations of Decimals and Fractions… page 59 CCSS 4th Lessons for Learning Task: Who Jumped Farther? 4.NF.7 Task 1 4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. Task: Making Punch 4.NF.7 Task 2 Lesson: Running the Race… page 64 CCSS Lessons for Learning Games: Deci-Mill Dunk… page 63 Deci-Moves… page 64 Corn Shucks… page 65 4th Grade Games DRAFT…North Carolina Department of Public Instruction (Nov. 2015) Feedback to Kitty Rutherford kitty.rutherford@dpi.nc.gov 1 What are your thoughts on Next Steps Document… Number and Operations in Base Ten Number and Operations in Base Ten Understand the place value system. 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. 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. Progressing (additional practice with standard needed) Standard Tasks or Lessons Task: Value of a Digit 5.NBT.1 Task 1 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. Task: Danny & Delilah 5.NBT.1 Task 2 Task: Value of a Digit 5.NBT.1 Task 3 Task: Comparing Digits 5.NBT.1 Task 4 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. Task: Veronica’s Statement 5.NBT.2 Task 1 Task: Distance from the Sun 5.NBT.2 Task 2 Lesson: Building Powers of Ten… page 5 CCSS Lessons for Learning DRAFT…North Carolina Department of Public Instruction (Nov. 2015) Feedback to Kitty Rutherford kitty.rutherford@dpi.nc.gov 2 What are your thoughts on Next Steps Document… Number and Operations in Base Ten Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm. Not Yet (possible gaps in learning) Standard Tasks or Lessons Number and Operations in Base Ten Task: Multiplication Strategies 4.NBT.5 Task 1 4.NBT.5 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. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and onedigit 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. Task: Who Has a Bigger Garden? 4.NBT.5 Task 2 Task: College Basketball Attendance 4.NBT.5 Task 3 Lesson: Strategies for Multiplying Multi-digit Numbers… page 23 CCSS 4th Lessons for Learning Task: Dividing by Multiples of Ten 4.NBT.6 Task 1 Task: Packaging Cupcakes 4.NBT.6 Task 2 Task: Dividing Resources 4.NBT.6 Task 3 Task: Remainders 4.OA.3 Task 1 Task: How Many Teams? 4.OA.3 Task 2 4.OA.3 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. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. Task: Making Gift Bags 4.OA.3 Task 3 Task: Enlarging the Yard 4.OA.3 Task 4 Task: How Many Cookies Do We Have? 4.OA.3 Task 5 Lesson: Multi-Step Multiplication page 1 CCSS 4th Lessons for Learning DRAFT…North Carolina Department of Public Instruction (Nov. 2015) Feedback to Kitty Rutherford kitty.rutherford@dpi.nc.gov 3 What are your thoughts on Next Steps Document… Number and Operations in Base Ten Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm. Progressing (additional practice with standard needed) Number and Operations in Base Ten Task: Number of Pages? 5.NBT.5 Task 1 Task: Field Trip Funds 5.NBT.5 Task 2 Lesson: Multiplying Multi-Digit Whole Numbers Using the Standard Algorithm #1: Background… page 30 CCSS Lessons for Learning 5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm. Lesson: Multiplying Multi-Digit Whole Numbers Using the Standard Algorithm #2: Background–Decomposing Numbers… page 34 CCSS Lessons for Learning Lesson: Multiplying Multi-Digit Whole Numbers Using the Standard Algorithm #3: Developing the Standard Algorithm… Page 37 CCSS Lessons for Learning Lesson: Multiplying Multi-Digit Whole Numbers Using the Standard Algorithm #4: Estimation… Page 45 CCSS Lessons for Learning Game: Multiplication Mix-up…page 21 Double Dutch Treat… page 23 5th Grade Games DRAFT…North Carolina Department of Public Instruction (Nov. 2015) Feedback to Kitty Rutherford kitty.rutherford@dpi.nc.gov 4