HESD Grade 5 Mathematics Unit 1: Place Value Chapter 1 of 4 KEY Pre-requisite knowledge or skills that should assessed prior to teaching this chapter: Approximate Length: 3 days 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. Tier 3 Vocabulary: ● place value ● digits ● estimate ● expanded form ● numbers ● numerals ● period ● rounding Enduring Understandings (Big Ideas) addressed in this phase: THE BASE TEN NUMERATION SYSTEM — The base ten numeration system is a scheme for recording numbers using digits 0-9, groups of ten, and place value. COMPARISON: Numbers, expressions, and measures can be compared by their relative values. Emphasized Mathematical Practices (which MPs are given extra consideration): 5.MP.1. Make sense of problems and persevere in solving them. 5.MP.2. Reason abstractly and quantitatively. 5.MP.3. Construct viable arguments and critique the reasoning of others. 5.MP.5. Use appropriate tools strategically. 5.MP.6. Attend to precision. HESD Grade 5 Mathematics Unit 1: Place Value Learning Objectives (with Standard code)1 Specific Knowledge or Skill(s) within Standard Criteria for Success2 “What is good enough?” Relevant Essential Questions3 Type(s) of assessments recommended and Possible Instructional Resources ● What is place value? How does the location of a digit determine its value? ● How do we recognize patterns of magnitude? Chapter 2 of 4 Approximate Length: KEY Pre-requisite knowledge or skills that should assessed prior to teaching this chapter: 5 days 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. Enduring Understandings (Big Ideas) addressed in this phase: 1 The Learning Objectives highlight the concepts and skills students should master during this phase of learning. The learning objective may be at a larger grain size than a daily objective, or it may be at the grain size of a daily objective. It is fine for the learning objective to vary in grain size. 2 The Criteria for Success highlight the specific requirements that students need to include, accomplish or demonstrate to be successful at the learning objective. 3 The Enduring Understandings and Essential Questions may be copied and pasted from those written for the unit, or additional Enduring Understandings and Essential Questions may be written. HESD Grade 5 Mathematics Unit 1: Place Value Emphasized Mathematical Practices (which MPs are given extra consideration): 5.MP.1. Make sense of problems and persevere in solving them. 5.MP.2. Reason abstractly and quantitatively. 5.MP.3. Construct viable arguments and critique the reasoning of others. 5.MP.5. Use appropriate tools strategically. 5.MP.6. Attend to precision. Standards, Knowledge, Skills, and Questions Learning Objectives (with Standard code)4 Specific Knowledge or Skill(s) within Standard Criteria for Success5 “What is good enough?” Relevant Essential Questions6 ● What is place value? How does the location of a digit determine its value? ● How do we recognize patterns of magnitude? Type(s) of assessments recommended and Possible Instructional Resources HESD Grade 5 Mathematics Unit 1: Place Value Chapter 3 of 4 Approximate Length: KEY Pre-requisite knowledge or skills that should assessed prior to teaching this chapter: 3 days 5.NBT.3. Read, write, and compare decimals to thousandths. a. 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). b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Enduring Understandings (Big Ideas) addressed in this phase: Emphasized Mathematical Practices (which MPs are given extra consideration): 5.MP.1. Make sense of problems and persevere in solving them. 5.MP.2. Reason abstractly and quantitatively. 5.MP.3. Construct viable arguments and critique the reasoning of others. 5.MP.5. Use appropriate tools strategically. 5.MP.6. Attend to precision. HESD Grade 5 Mathematics Unit 1: Place Value Learning Objectives (with Standard code)7 Specific Knowledge or Skill(s) within Standard Criteria for Success8 “What is good enough?” Relevant Essential Questions9 Type(s) of assessments recommended and Possible Instructional Resources ● What is place value? How does the location of a digit determine its value? ● How do we recognize patterns of magnitude? 4 of: 4 Approximate Length: 4-6 days KEY Pre-requisite knowledge or skills that should assessed prior to teaching this chapter: Supporting Standards These are the standards that will be taught in conjunction with the Essential Standards, but they will not be commonly assessed (although some requirements from some may appear on rubrics). 5.NBT.4. Use place value understanding to round decimals to any place. 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. HESD Grade 5 Mathematics Unit 1: Place Value Enduring Understandings (Big Ideas) addressed in this phase: Emphasized Mathematical Practices (which MPs are given extra consideration): 5.MP.1. Make sense of problems and persevere in solving them. 5.MP.2. Reason abstractly and quantitatively. 5.MP.3. Construct viable arguments and critique the reasoning of others. 5.MP.5. Use appropriate tools strategically. 5.MP.6. Attend to precision. Standards, Knowledge, Skills, and Questions Learning Objectives (with Standard code)10 Specific Knowledge or Skill(s) within Standard Criteria for Success11 “What is good enough?” Relevant Essential Questions12 ● What is place value? How does the location of a digit determine its value? ● How do we recognize patterns of magnitude? Type(s) of assessments recommended and Possible Instructional Resources HESD Grade 5 Mathematics Unit 1: Place Value