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Grade 5 Mathematics Curriculum North Jersey Arts and Science Charter Schools 2014-2015 Unit 2 Summary: Decimals and Decimal Operations Essential Questions 1. 2. 3. 4. 5. 6. What is the relationship between decimals and fractions? How can we read, write, and represent decimal values? How are decimal numbers placed on a number line? How can rounding decimal numbers be helpful? How can you decide if your answer is reasonable? How do we compare decimals? Big Ideas 1. Decimal numbers are simply another way of writing fractions. Both notations have value. Maximum flexibility is gained by understanding how the two symbol systems are related. 2. The base-ten place-value system extends infinitely in two directions: to tiny values as well as to large values. Between any two consecutive place values, the ten-to-one ratio remains the same. 3. The decimal point is a convention that has been developed to indicate the unit’s position. The position to the left of the decimal point is the unit that is being counted as singles or ones. 4. Addition and subtraction with decimals are based on the fundamental concept of adding and subtracting the numbers in like position values---a simple extension from whole numbers. Learning Outcomes (CCSS) Grade 4 Curriculum Unit 4: Division Unit 2 Summary: Decimals and Decimal Operations 5.NBT.A.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.A.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. 5.NBT.A.3 - Read, write, and compare decimals to thousandths. 5.NBT.A.3.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). 5.NBT.A.3.B - Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons 5.NBT.A.4 - Use place value understanding to round decimals to any place. 5.NBT.B.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. Local Standards (LS) #10-17 are taught in this unit. Prior Knowledge Expected • Mastery: add, subtract, multiply, and divide whole numbers • Basic: recognize and explain patterns • Familiarity: Understanding decimals and place value Assessment Summary 1. End-of-Unit Assessment (LS #10-17) (Scope and Sequence on the next page) Grade 4 Curriculum Unit 4: Division Unit 2 Scope and Sequence: Decimals and Decimal Operations Periods* CCSS LS Student Friendly Language Resources Textbook Lesson 1-6 engage NY à https://content.engageny.org/fi le/39281/download/math-g5m1-topic-a-lesson1.docx?token=O_f99kh2UCi WKdG56YFi-F9bhVoqAZUwYbOk3xI7iY or 1 5.NBT.2 S11 Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Links Multiplying decimals by powers of 10 Dividing decimals with powers of 10 1 5.NBT.3 S12 Other engageNY M1 L5 Georgia Unit 2 Assessment Quick Check 1-6 Textbook Lesson 1-2,1-3, and 1-4 http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2014/06/ Check-This-Task-and-RubricModule-1.pdf?ad4c6c Read and write decimals to thousandths. Links Representing Decimals with Base 10 Blocks Grade 4 Curriculum Unit 4: Division 1 1 5.NBT. 3 5.NBT.4 Grade 4 Curriculum S13 S14 Other engageNY M1 L5 Georgia Unit 2 Assessment Quick Check 1-2, 1-3, and 1-4 Textbook Lesson 1-5 Links http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2014/06/ Check-This-Task-and-RubricModule-1.pdf?ad4c6c or Comparing Decimals Compare decimals to thousandths. Use place value understanding to round decimals to any place. Other engageNY M1 L6 Georgia Unit 2 Assessment http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/ Snapshot-Assessment5.NBT_.31.pdf?ad4c6c Quick Unit 1-5 Textbook Lesson 2-2 and 2-3 Links Rounding Decimals Other engageNY M1 L7 and M1 L8 Georgia Unit 2 Assessment http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/ Snapshot-Assessment5.NBT_.4.pdf?ad4c6c Quick Check 2-2 and 2-3 Unit 4: Division Unit 2 Scope and Sequence: Decimals and Operations with Decimals Periods* CCSS LS Student Friendly Language Resources Textbook Links 1 5.NBT.7 S15 Add and subtract decimals to hundredths, with and without models Other 1 5.NBT. 7 S16 Multiply decimals to the hundredths, with and without visual representation. Base 10 Building with Decimals or Decimal Bag Addition or Decimal Bag Subtraction Decimal Subtraction Spin and decimal addition bingo engageNY M1 L9 (add) and M1L10 (subtract) Georgia Unit 2 Assessment http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/5 .NBT_.7_Adding-andSubtracting.pdf?ad4c6c Quick Checks Lesson 2 (all) Textbook Lesson 6 (all) Links Other Grade 4 Curriculum Lesson 2 (all) Decimal Speedway engageNY M1 L2 and M1 L11 and L12 Georgia Unit 3 Quick Check Lesson 6 (all) Unit 4: Division Assessment Textbook Lesson 7 (all) Division Decimals Game Links 1 5.NBT.7 S17 Divide decimals to the hundredths, with and w http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/ Snapshot-Assessment5.NBT_.7_Module_2_Part_1.pdf? ad4c6c or http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2014/06/5 .NBT_.7_Part-2_Module.pdf?ad4c6c Other engageNY M1 L13, 14, 15, 16 Georgia Unit 3 Assessment http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/5 .NBT_.7_Multiply-andDivide.pdf?ad4c6c Lesson 7 Quick Check (all) Textbook 5.NBT.7 S18 Relate the strategy to a written method and explain the reasoning used. How do we proceed with this? Links Other Assessment Grade 4 Curriculum Unit 4: Division