MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 1 Unit Unit 1 Description Decimal Place Value Suggested Length: 2-3 weeks Big Idea(s) What enduring understandin gs are essential for application to new situations within or beyond this content? Enduring Understanding Develop understanding of decimal numbers and operations (to 1/100’s) Enduring Skills Rubric measures competency of the following skills: Essential Question(s) What questions will provoke and sustain student engagement while focusing learning? In any multi-digit number, recognizes 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 Reads and writes decimals to the thousandths using numeral, number names, and expanded form Compares decimals to the thousandths using symbols (<, >, =) Can round decimals to any place using place value understanding Adds, subtracts, multiplies, or divides decimals to hundredths, accurately using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction Fluently multiply and divide by 10 and powers of 10 Explains patterns in the number of zeros of the product when multiplying a number by powers of 10 and placement of the decimal point when a decimal is multiplied or divided by a power of 10; uses whole number exponents to denote powers of 10 Constructs and communicates a well-organized and complete written response using a logical progression of steps What patterns occur in our number system? How do we compare decimals? How do we round decimals? Standards Standards for Mathematical Practice 1 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 1 1. Make sense of problems and persevere in solving them. Students seek the meaning of a problem and look for efficient ways to solve it. They determine situations when decimal numbers should be rounded and when they need to be exact. 2. Reason abstractly and quantitatively. Students demonstrate abstract reasoning to connect decimal quantities to fractions, and to compare relative values of decimal numbers. Students round decimal numbers using place value concepts. Students write simple expressions that record calculations with numbers and represent numbers using place value concepts. 3. Construct viable arguments and critique the reasoning of others. Students construct arguments using concrete referents, such as objects, pictures, and drawings. They explain comparisons with decimals based upon models and rules that generate patterns. They explain their thinking to others and respond to others’ thinking. 4. Model with mathematics. Students use base ten blocks, drawings, number lines, and equations to represent decimal place value and powers of ten. They determine which models are most efficient for solving problems. They interpret expressions and connect them to representations. 5. Use appropriate tools strategically. Students select and use tools such as graph paper, base ten blocks, and number lines to accurately solve problems with decimals. 6. Attend to precision. Students use clear and precise language, (math talk) in their discussions with others and in their own reasoning. Students use appropriate terminology when referring to decimal place value, powers of ten, and use decimal points correctly. 7. Look for and make use of structure. Students utilize patterns in place value and powers of ten and relate them to rules and graphical representations. Students also use structure to read, write, and compare decimals. Students utilize patterns in place value and powers of ten. Standards for Mathematical Content 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.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). 2 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 1 b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Supporting Standard(s ) Which related standards will be incorporated to support and enhance the enduring standards? Instruction al Outcomes What must students learn and be able to by the end of the unit to demonstrate mastery? Vocabular y What vocabulary must students know to understand and 5.NBT.4 Use place value understanding to round decimals to any place. 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. I am learning to… Recognize and explain 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. Read and write decimal to thousandths using base-ten numerals (standard form), number names (word form), and expanded form. Use >, =, and < symbols to record the results of comparisons between decimals up to the thousandths based on the place value of each digit. Use knowledge of base ten and place value to round decimals to any place up to the hundredths place. Order decimal numbers and/or place them on a number line. Essential Vocabulary base ten base ten numerals decimals expanded form number names place value names (tenths, hundredths, thousandths) word form 3 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 1 communicat e effectively about this content? Resources & Activities What resources could we use to best teach this unit? Supporting Vocabulary Compare Estimation equal to exponents greater than less than powers of ten product Round Stepping Stones (www.origoeducation.com) 5.NBT.1 o Module 1: Lessons 1-2 5.NBT.2 o Module 1: Lesson 2 o Module 8: Lesson 4 5.NBT.3 o Module 2: Lessons 7- 12 o Module 5: Lessons 1-2 5.NBT.4 o Module 5: Lessons 3-4 Engage NY (https://www.engageny.org/resource/grade-5-mathematics) 5.NBT.1 o o Module 1: Topic A Module 2: Topics A, E 5.NBT.2 o o Module 1: Topics A, D Module 2: Topics A, E, G 5.NBT.3 4 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 1 o Module 1: Topics B, D, F 5.NBT.4 o Module 1: Topic C Howard County Website (https://grade5commoncoremath.wikispaces.hcpss.org/) o o o o https://grade5commoncoremath.wikispaces.hcpss.org/Assessing+5 .NBT.1 https://grade5commoncoremath.wikispaces.hcpss.org/Assessing+5 .NBT.2 https://grade5commoncoremath.wikispaces.hcpss.org/Assessing+5 .NBT.3 https://grade5commoncoremath.wikispaces.hcpss.org/Assessing+5 .NBT.4 K-5 Math Teaching Resources 5.NBT.1 o http://www.k-5mathteachingresources.com/supportfiles/comparing-digits.pdf 5.NBT.2 o http://www.k-5mathteachingresources.com/supportfiles/multiplying-a-whole-number-by-a-power-of-10.pdf o http://www.k-5mathteachingresources.com/supportfiles/multiplying-a-decimal-by-a-power-of-10.pdf o http://www.k-5mathteachingresources.com/support-files/dividinga-whole-number-by-a-power-of-10.pdf o http://www.k-5mathteachingresources.com/support-files/dividinga-decimal-by-a-power-of-10.pdf 5.NBT.3 o http://www.k-5mathteachingresources.com/supportfiles/representing-decimals.pdf o http://www.k-5mathteachingresources.com/support-files/placevalue-chart-to-thousandths.pdf o http://www.k-5mathteachingresources.com/support-files/hunt-fordecimals.pdf o http://www.k-5mathteachingresources.com/supportfiles/comparing-decimals.pdf 5.NBT.4 o http://www.k-5mathteachingresources.com/support-files/roundingdecimals.pdf 5 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 1 Illustrative Mathematics 5.NBT.1 o https://www.illustrativemathematics.org/contentstandards/5/NBT/A/1/tasks/1562 o https://www.illustrativemathematics.org/contentstandards/5/NBT/A/1/tasks/1931 o https://www.illustrativemathematics.org/contentstandards/5/NBT/A/1/tasks/1800 o https://www.illustrativemathematics.org/contentstandards/5/NBT/A/1/tasks/1799 o 5.NBT.2 o https://www.illustrativemathematics.org/contentstandards/5/NBT/A/2/tasks/1620 o https://www.illustrativemathematics.org/contentstandards/5/NBT/A/3/tasks/1802 o https://www.illustrativemathematics.org/contentstandards/5/NBT/A/3/tasks/1803 5.NBT.3 5.NBT.4 Illuminations o http://illuminations.nctm.org/Search.aspx?view=search&cc=1973_1 983 Created by Beth Richardson ([email protected]): o Decimal of the Day (NBT.1-4) o Decimal Number QR Task Cards o Decimal exit slips (Free from TPT: http://www.teacherspayteachers.com/Product/FREE-Decimals Exit-Slips-5th-Grade-596898) Teachers Pay Teachers Numbers and Operations in Base Ten 2.1-3.1a Math Worksheet (Free on TPT): o http://www.teacherspayteachers.com/Product/Grade-5Common-Core-Numbers-and-Operations-in-Base-Ten-21-3a1-MathWorksheet-315115 6 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 1 Decimal place value cards for expanded form ($3 from TPT: o http://www.teacherspayteachers.com/Product/Place-ValueManipulatives-Decimals-312205) Decimals and Fractions: City Cruisers ($5 on TPT) o http://www.teacherspayteachers.com/Product/Decimals-andFractions-City-Cruisers-1139085 From Common Core Sheets (http://www.commoncoresheets.com/) http://commoncoresheets.com/SortedByGrade.php?Sorted=5nbt1, http://commoncoresheets.com/SortedByGrade.php?Sorted=5nbt2, http://commoncoresheets.com/SortedByGrade.php?Sorted=5nbt3a, http://commoncoresheets.com/SortedByGrade.php?Sorted=5nbt3b, http://commoncoresheets.com/SortedByGrade.php?Sorted=5nbt4 www.rundesroom.com Illustrative Mathematics o https://www.illustrativemathematics.org/content-standards/5 Illuminations o http://illuminations.nctm.org/Search.aspx?view=search&cc=2014_2 024 Remember there are other sources in your school that may not be listed on this common resources list due to variation in each individual school. Examples of other great resources your school may have access to include: Everyday Math Games, Investigations, Everyday Partner Games, AVMR file folders, Ongoing Assessment Project, etc. 7

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# Unit 1 Decimal Place Value