Cluster/ Standards (MAFS) Unit Suggested Pacing Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 1st Trimester Add and subtract within 20. Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten; decomposing a number leading to a ten; using the relationship between addition and subtraction; and creating equivalent but easier or known sums. 8 Days: August 18 – August 29 OA.2.3 Apply properties of operations as strategies to add and subtract. Unit 1: Addition Concepts OA.1.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions. Understand and apply properties of operations and the relationship between addition and subtraction. OA.3.6 Operations and Algebraic Thinking (OA) Represent and solve problems involving addition and subtraction. Student Targets Lessons The student will: Model Adding To • Model Putting Together Use concrete objects to solve “adding to” addition problems. • Use concrete objects to solve “putting together” addition problems. • Solve adding to and putting together situations using the strategy make a model. • • Model Addition Add in Any Order Addition to 10 Explore the commutative property of addition. Vocabulary add addends addition sentence is equal to (=) order plus (+) sum zero Build fluency for addition within 10. iReady Diagnostic 1 Testing Window: August 22 – September 9 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Cluster/ Standards (MAFS) Unit Suggested Pacing Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 1st Trimester The student will: Work with addition and subtraction equations. 11 Days: September 2 - September 20 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten; decomposing a number leading to a ten; using the relationship between addition and subtraction; and creating equivalent but easier or known sums. Unit 2: Subtraction Concepts OA.1.1 OA.3.6 Add and subtract within 20. OA.4.8 Operations and Algebraic Thinking (OA) Represent and solve problems involving addition and subtraction. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions. Student Targets • Use concrete objects to solve “taking from” subtraction problems. • Use concrete objects to solve “taking apart” subtraction problems. • Solve taking from and taking apart subtraction problems using the strategy make a model. • • Find the missing number in a number sentence. Model and compare pictorial groups to show the meaning of subtraction. • Identify how many are left when subtracting all or 0. • Build fluency for subtraction within 10. Lessons Vocabulary Model Taking From compare Model Taking Apart difference Model Subtraction fewer Supplemental – Finding the Unknown Use Pictures and Subtraction to Compare/Subtract to Compare Subtract All or Zero minus more subtract subtraction sentence Subtraction from 10 or Less Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Cluster/ Standards (MAFS) Unit Suggested Pacing Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 1st Trimester The student will: • Count by ones to extend a counting sequence up to 120. Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral. The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and zero ones). Decompose two-digit numbers in multiple ways (e.g., 64 can be decomposed into 6 tens and 4 ones or into 5 tens and 14 ones). 20 days: September 21 – October 24 NBT.2.2b The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones. Unit 3: Count and Model Numbers NBT.2.2 NBT.2.2a 10 can be thought of as a bundle of ten ones — called a “ten.” NBT.2.2c Understand place value. NBT.2.2d Number and Operations in Base Ten (NBT) NBT.1.1 Extend the counting sequence. Understand that the two digits of a twodigit number represent amounts of tens and ones. Understand the following as special cases: Student Targets • Read and write numerals up to 100. • Read and write numerals up to 120. • Count by tens from any number to extend a counting sequence up to 120. Lessons Count by Ones to 120 Read, Write, and Match Numbers from 20 – 100 Read, Write, and Match Numbers from 100 – 120 • Use objects, pictures, and numbers to represent a ten and some ones. Tens • Use objects, pictures, and numbers to represent tens. • Group objects to show numbers to 50 as tens and ones. Show Numbers in Different Ways • Group objects to show numbers to 100 as tens and ones. Model, Read, and Write Numbers from 100 to 110 • Solve problems using the strategy make a model. Read and write numerals to represent a number of 110 to 120 objects. tens Understand Tens and Ones Make Tens and Ones • hundred Count by Tens to 120 Use models and write to represent equivalent forms of ten and ones. Read and write numerals to represent a number of 100 to 110 objects. digit ones • • Vocabulary Tens and Ones to 50 Tens and Ones to 100 Model, Read, and Write Numbers from 110 to 120 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Cluster/ Standards (MAFS) Unit Suggested Pacing Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 1st Trimester b. Understand the importance of the zero point and end point and that the length measure is the span between two points. c. Recognize that the units marked on a ruler have equal length intervals and fit together with no gaps or overlaps. These equal interval distances can be counted to determine the overall length of an object. 9 Days: October 25 – November 7 a. Recognize that the ruler is a tool that can be used to measure the attribute of length. Unit 4: Length MD.1.1 Order three objects by length; compare the lengths of two objects indirectly by using a third object. Understand how to use a ruler to measure length to the nearest inch. MD.1.a Measurement and Data (MD) Measure lengths indirectly and by iterating length units. Student Targets Lessons Vocabular y The student will: Order Length • Order objects by length. Indirect Measurement • Use the transitivity principle to measure indirectly. Using Indirect Measurement ruler • Practice indirect measurements. Use Inch Models to Measure shortest • Use concrete models to measure the lengths of objects in inches. Make a Ruler with no Gaps • Make an inch ruler and use it to measure the lengths of objects. Use a Ruler / Practice with a • Measure the lengths of objects to the nearest inch using an inch ruler. Measure the lengths of objects to the nearest inch using an inch ruler. inch longest Ruler End of Trimester: November 8, 2016 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Suggested Pacing Cluster/ Standards (MAFS) Unit Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 2nd Trimester Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8. OA.3.5 Add and subtract within 20. Relate counting to addition and subtraction. Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten; decomposing a number leading to a ten; using the relationship between addition and subtraction; and creating equivalent but easier or known sums. 18 days: November 9 – December 9 OA.2.3 Apply properties of operations as strategies to add and subtract. • Unit 5: Addition and Subtraction Strategies OA.1.2 Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20. Understand and apply properties of operations and the relationship between addition and subtraction. OA.2.4 The student will: • Understand and apply the commutative property of addition for sums within 20. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions. OA.3.6 Operations and Algebraic Thinking (OA) OA.1.1 Represent and solve problems involving addition and subtraction. Student Targets Lessons Add in Any Order Count On Use count on 1, 2, or 3, as a strategy to find sums within 20. Count Back • Use count back 1, 2, or 3 as a strategy to subtract. Add Doubles / Use Doubles to • Use doubles as a strategy to solve addition facts with sums within 20. Use doubles to create equivalent but easier sums. Use doubles plus 1 and doubles minus 1 as strategies to find sums within 20. Add / Doubles Plus 1 and Doubles Minus 1 • Use the strategies count on, doubles, doubles plus 1, and doubles minus 1 to practice addition facts within 20. • Recall addition facts to subtract numbers within 20. • Use addition as a strategy to subtract numbers within 20. • Use a ten fame to add 10 and an added less than 10. • Use make a ten as a strategy to find sums within 20. Add 10 and More • Use numbers to show how to use the make a ten strategy to add. Make a 10 to Add • Use make a 10 as a strategy to subtract. • Use Make a 10 to Add Subtract by breaking apart to make a ten. • Solve subtraction problem situations using the strategy act it out. • Use the associative property of addition to add three addends. • Understand and apply the associative property or commutative property of addition to add three addends. • Solve adding to and putting together situations using the strategy draw a picture. Practice the Strategies Vocabulary count back count on digit doubles doubles minus one doubles plus one Think Addition to Subtract make a ten Use Think Addition to Subtract Use 10 to Subtract Break Apart to Subtract Use Subtraction Strategies Add 3 Numbers Use Addition Strategies Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Suggested Pacing Cluster/ Standards (MAFS) Unit Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 2nd Trimester The student will: OA.4.7 Work with addition and subtraction equations. Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. 15 days: December 12 – January 17 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten; decomposing a number leading to a ten; using the relationship between addition and subtraction; and creating equivalent but easier or known sums. Unit 6: Addition and Subtraction Relationships OA.1.1 OA.3.6 Add and subtract within 20. OA.4.8 Operations and Algebraic Thinking (OA) Represent and solve problems involving addition and subtraction. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions. Student Targets Lessons Add or Subtract Vocabulary count back • Solve addition and subtraction problems using the strategy make a model. Record Related Facts equal • Record related facts within 20. Identify Related Facts false • Identify related addition and subtraction facts within 20. • Apply the inverse relationship of addition and subtraction. Missing Numbers • Use related facts to determine unknown numbers. Use Related Facts • Use a related fact to subtract. Choose an Operation • Choose an operation and strategy to solve and addition or subtraction word problem. Ways to Make Numbers to 20 • Represent equivalent forms of numbers using sums and differences within 20. Equal and Not Equal • Determine if an equation is true or false. Basic Facts to 20 • Add and subtract facts within 20 and demonstrate fluency for addition and subtraction within 10. Use Addition to Check Subtraction related facts true iReady Diagnostic 2 Testing Window: January 10 – January 27 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Suggested Pacing Unit Cluster/ Standards (MAFS) Use place value understanding and properties of operations to add and subtract. Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used 9 Days: January 20 – February 2 Compare two two-digit numbers based on meanings of the tens and ones digits, Recording the results of comparisons with the symbols >, =, and <. Unit 7: Compare Numbers NBT.2.3 Understand place value. NBT.3.5 Number and Operations in Base Ten (NBT) Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 2nd Trimester Student Targets Lessons The student will: Greater Than/Less Than • Use Symbols to Compare Model and compare two-digit numbers to determine which is greater or less. • Compare numbers based on place value. • Use symbols for is less than “<”, is greater than “>”, and is equal to “=” to compare numbers. • Solve problems using the strategy make a model. • Identify numbers that are 10 less or 10 more than a given number. • Understand true and false. Vocabulary false > is greater than Compare Numbers 10 Less, 10 More True or False < is less than true Unit 8 starts on February 3 but will be assessed in Trimester 3 End of Trimester: February 20, 2016 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Suggested Pacing Unit Subtract multiples of ten in the range of 10-90 in multiples of 10 in the range of 10-90 (positive or zero differences), 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. 17 Days: February 3 – March 1 Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, 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. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. Unit 8: Two-Digit Addition and Subtraction OA.3.6 NBT.3.4 Use place value understanding and properties of operations to add and subtract. Lessons Vocabulary The student will: Add and subtract within 20. Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). Student Targets • Draw a model to add tens and subtract tens. • Use hundred chart to find sums. • Use concrete models to add ones or tens to a two-digit number. Add Tens/Subtract Tens Use a Hundred Chart to Add Use Models to Add Make Ten to Add • Make a ten to add a two-digit number and a one-digit number. Use Place Value to Add • Use tens, and ones to add two-digit numbers. Addition Word Problems • Solve and explain two-digit addition word problems using the strategy draw a picture. • Add and subtract within 100, including continued practice with facts within 20. Practice Addition and Subtraction Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education No new vocabulary words Cluster/ Standards (MAFS) NBT.3.6 Number and Operations in Base Ten (NBT) Operations and Algebraic Thinking (OA) Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 3rd Trimester July 2016 Cluster/ Standards (MAFS) Unit Suggested Pacing Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 3rd Trimester Student Targets The student will: Relate the value of pennies, dimes, and quarters to the dollar (e.g., There are 100 pennies or ten dimes or four quarters in one dollar.) 10 Days: March 2 – March 15 Compute the value of combinations of coins (pennies and/or dimes). • Unit 9: Exploring Money Concepts MD.2.a MD.2.a(a) Identify the value of coins (pennies, nickels, dimes, and quarters). MD.2.a(b) Identify and combine values of money in cents up to one dollar working with a single unit of currency. ** (Students are not expected to understand the decimal notation for combinations of dollars and cents.) MD.2.a(c) Measurement and Data (MD) Tell and Write Time. Identify coins using attributes. • Identify coins using values. • Count a group of pennies and dimes. Lessons Investigate Pennies, Nickels, Dimes and Quarters Vocabulary coin dime Pennies, Nickels, Dimes and Quarters dollar Count Collections nickel • Compare groups of pennies and dimes. Compare Values penny • Determine how many pennies, dimes, or quarters in a dollar. Problem Solving – One Dollar quarter Spring Break: March 20 – 24, 2016 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Tell and write time in hours and half-hours using analog and digital clocks. Suggested Pacing 8 Days: March 27 – April 5 MD.2.3 Measurement and Data (MD) Tell and write time. Unit Cluster/ Standards (MAFS) Unit 10: Telling and Writing Time Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 3rd Trimester Student Targets Lessons The student will: Time to the Hour • Write times to the hour shown on analog clocks. Time to the Half Hour • Write times to the half hour shown on analog clocks. Tell Time to the Hour and Half • Tell times to the hour and half hour using analog and digital clocks. • Use the hour hand to draw and write times on analog and digital clocks. Hour Practice Time to the Hour and Half Hour Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Vocabulary half half hour hour hour hand minutes minute hand July 2016 Suggested Pacing Cluster/ Standards (MAFS) Unit Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 3rd Trimester 10 Days: April 6 - April 20 Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. Unit 11: Represent Data MD.3.4 Measurement and Data (MD) Represent and interpret data. Student Targets Lessons Vocabulary The student will: Read Picture Graphs bar graph • Analyze and compare data shown in a picture graph where each symbol represents one. Make Picture Graphs graph Read Bar Graphs picture • Make a picture graph where each symbol represents one and interpret the information. Make Bar Graphs tally chart • Read Tally Charts tally mark Analyze and compare data shown in a bar graph. • Make a bar graph and interpret the information. • Analyze and compare data shown in a tally chart. • Make a tally chart and interpret the information. • Solve problem situations using the strategy make a graph. Make Tally Charts Represent Data Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Suggested Pacing Cluster/ Standards (MAFS) Unit Domain The School District of Palm Beach County 1st Grade Mathematics Scope 2016-2017 3rd Trimester Student Targets The student will: Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares. 16 Days: April 24 – May 15 G.1.2 Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quartercircles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. Unit 12: Two and Three -Dimensional Geometry G.1.1 Distinguish between defining attributes versus non-defining attributes; build and draw shapes to possess defining attributes. G.1.3 Geometry (G) Reason with shapes and their attributes. Lessons Sort 2- Dimensional Shapes • Use defining attributes to soft shapes. • Describe attributes of two-dimensional shapes. • Use objects to compose new two-dimensional shapes. • Compose a new shape by combining twodimensional shapes. Make new shapes from composite two-dimensional shapes using the strategy act it out. Find Shapes in Shapes / Take Apart 2- • Decompose combined shapes into shapes. Decompose two-dimensional shapes into parts. Dimensional Shapes • Identify and describe three-dimensional shapes according to defining attributes. 3-Dimensional Shapes • Compose a new shape by combining threedimensional shapes. Combine 3- Dimensional Shapes • Use composite three-dimensional shapes to build new shapes. Identify three-dimensional shapes used to build a composite shape using the strategy act it out. • Identify two-dimensional shapes on threedimensional shapes. Describe 2-Dimensional Shapes Combine 2-Dimensional Shapes Combine More Shapes / Make New Two-Dimensional Shapes Make New 3-Dimensional Shapes / Take Apart 3-Dimensional Shapes Two Dimensional Shapes on 3Dimensional Shapes Equal or Unequal Parts • Identify equal and unequal parts (or shares) in two-dimensional shapes. Halves • Partition circles and rectangles into two equal shares. Fourths • Partition circles and rectangles into four equal shares. Vocabulary circles cone cube curved surface cylinder equal parts equal shares flat surface fourth of fourths half of halves hexagon quarter of quarters rectangles rectangular prism sides sphere square trapezoid triangle unequal parts unequal shares vertices iReady Diagnostic 3 Testing Window: May 8 – May 26 Finalizing Mastery of 1st Grade MAFS: May 16 – June 2, 2016 Last Day of School: June 2, 2016 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education July 2016
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