The School District of Palm Beach County 1 st Grade Mathematics Scope st Trimester. Unit 1: Addition Concepts. 8 Days: August 18 August 29

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1 1 st Trimester Operations and Algebraic Thinking (OA) Represent and solve problems involving addition and subtraction. 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.2.3 OA.3.6 Apply properties of operations as strategies to add and subtract. 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. 1: Addition Concepts 8 Days: August 18 August 29 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. Explore the commutative property of addition. Build fluency for addition within 10. Model Adding To Model Putting Together Model Addition Add in Any Order Addition to 10 iready Diagnostic 1 Testing Window: August 22 September 9 add addends addition sentence is equal to (=) order plus (+) sum zero

2 1 st Trimester Operations and Algebraic Thinking (OA) Represent and solve problems involving addition and subtraction. OA.1.1 OA.3.6 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. 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. Work with addition and subtraction equations. 2: Subtraction Concepts 11 Days: September 2 - September 20 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. Model Taking From Model Taking Apart Model Subtraction Supplemental Finding the Unknown Use Pictures and Subtraction to Compare/Subtract to Compare Subtract All or Zero Subtraction from 10 or Less compare difference fewer minus more subtract subtraction sentence OA.4.8 Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.

3 1 st Trimester Number and Operations in Base Ten (NBT) NBT.2.2d NBT.2.2c NBT.2.2b NBT.2.2a NBT.2.2 NBT.1.1 Extend the counting sequence. 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. Understand place value. Understand that the two digits of a twodigit number represent amounts of tens and ones. Understand the following as special cases: 10 can be thought of as a bundle of ten ones called a ten. The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones. 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). 3: Count and Model Numbers 20 days: September 21 October 24 Count by ones to extend a counting sequence up to 120. 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. Use models and write to represent equivalent forms of ten and ones. Use objects, pictures, and numbers to represent a ten and some ones. Use objects, pictures, and numbers to represent tens. Group objects to show numbers to 50 as tens and ones. Group objects to show numbers to 100 as tens and ones. Solve problems using the strategy make a model. Read and write numerals to represent a number of 100 to 110 objects. Read and write numerals to represent a number of 110 to 120 objects. Count by Ones to 120 Read, Write, and Match Numbers from Read, Write, and Match Numbers from Count by Tens to 120 Understand Tens and Ones Make Tens and Ones Tens Tens and Ones to 50 Tens and Ones to 100 Show Numbers in Different Ways Model, Read, and Write Numbers from 100 to 110 Model, Read, and Write Numbers from 110 to 120 digit hundred ones tens

4 1 st Trimester Student Targets Lessons Vocabular y Measurement and Data (MD) Measure lengths indirectly and by iterating length units. MD.1.1 MD.1.a 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. a. Recognize that the ruler is a tool that can be used to measure the attribute of length. 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. 4: Length 9 Days: October 25 November 7 Order objects by length. Use the transitivity principle to measure indirectly. Practice indirect measurements. Use concrete models to measure the lengths of objects in inches. Make an inch ruler and use it to measure the lengths of objects. 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. Order Length Indirect Measurement Using Indirect Measurement Use Inch Models to Measure Make a Ruler with no Gaps Use a Ruler / Practice with a Ruler inch longest ruler shortest End of Trimester: November 8, 2016

5 2nd Trimester Operations and Algebraic Thinking (OA) Represent and solve problems involving addition and subtraction. OA.1.1 OA.1.2 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. 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.2.3 OA.2.4 OA.3.5 OA.3.6 Apply properties of operations as strategies to add and subtract. Understand subtraction as an unknown-addend problem. For example, subtract 10 8 by finding the number that makes 10 when added to 8. 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. 5: Addition and Subtraction Strategies 18 days: November 9 December 9 Understand and apply the commutative property of addition for sums within 20. Use count on 1, 2, or 3, as a strategy to find sums within 20. Use count back 1, 2, or 3 as a strategy to subtract. 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. 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. Use numbers to show how to use the make a ten strategy to add. Use make a 10 as a strategy to subtract. 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. Add in Any Order Count On Count Back Add Doubles / Use Doubles to Add / Doubles Plus 1 and Doubles Minus 1 Practice the Strategies Think Addition to Subtract Use Think Addition to Subtract Add 10 and More Make a 10 to Add Use Make a 10 to Add Use 10 to Subtract Break Apart to Subtract Use Subtraction Strategies Add 3 Numbers Use Addition Strategies count back count on digit doubles doubles minus one doubles plus one make a ten

6 2 nd Trimester Operations and Algebraic Thinking (OA) Represent and solve problems involving addition and subtraction. OA.1.1 OA.3.6 OA.4.7 OA.4.8 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. 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. 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. 6: Addition and Subtraction Relationships 15 days: December 12 January 17 Solve addition and subtraction problems using the strategy make a model. Record related facts within 20. Identify related addition and subtraction facts within 20. Apply the inverse relationship of addition and subtraction. Use related facts to determine unknown numbers. Use a related fact to subtract. Choose an operation and strategy to solve and addition or subtraction word problem. Represent equivalent forms of numbers using sums and differences within 20. Determine if an equation is true or false. Add and subtract facts within 20 and demonstrate fluency for addition and subtraction within 10. Add or Subtract Record Related Facts Identify Related Facts Use Addition to Check Subtraction Missing Numbers Use Related Facts Choose an Operation Ways to Make Numbers to 20 Equal and Not Equal Basic Facts to 20 count back equal false related facts true iready Diagnostic 2 Testing Window: January 10 January 27

7 2 nd Trimester Number and Operations in Base Ten (NBT) NBT.2.3 Understand place value. Compare two two-digit numbers based on meanings of the tens and ones digits, Recording the results of comparisons with the symbols >, =, and <. Use place value understanding and properties of operations to add and subtract. NBT.3.5 Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used 7: Compare Numbers 9 Days: January 20 February 2 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. Greater Than/Less Than Use Symbols to Compare Compare Numbers 10 Less, 10 More True or False false > is greater than < is less than true 8 starts on February 3 but will be assessed in Trimester 3 End of Trimester: February 20, 2016

8 3 rd Trimester Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) OA.3.6 NBT.3.4 NBT.3.6 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., = = = 14); decomposing a number leading to a ten (e.g., 13 4 = = 10 1 = 9); using the relationship between addition and subtraction (e.g., knowing that = 12, one knows 12 8 = 4); and creating equivalent but easier or known sums (e.g., adding by creating the known equivalent = = 13). Use place value understanding and properties of operations to add and subtract. 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. Subtract multiples of ten in the range of in multiples of 10 in the range of (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. 8: Two-Digit Addition and Subtraction 17 Days: February 3 March 1 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. Make a ten to add a two-digit number and a one-digit number. Use tens, and ones to add two-digit numbers. 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. Add Tens/Subtract Tens Use a Hundred Chart to Add Use Models to Add Make Ten to Add Use Place Value to Add Addition Word Problems Practice Addition and Subtraction No new vocabulary words

9 3 rd Trimester Measurement and Data (MD) MD.2.a(c) MD.2.a(b) MD.2.a(a) MD.2.a Tell and Write Time. 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.) Identify the value of coins (pennies, nickels, dimes, and quarters). Compute the value of combinations of coins (pennies and/or dimes). 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.) 9: Exploring Money Concepts 10 Days: March 2 March 15 Identify coins using attributes. Identify coins using values. Count a group of pennies and dimes. Compare groups of pennies and dimes. Determine how many pennies, dimes, or quarters in a dollar. Investigate Pennies, Nickels, Dimes and Quarters Pennies, Nickels, Dimes and Quarters Count Collections Compare Values Problem Solving One Dollar coin dime dollar nickel penny quarter Spring Break: March 20 24, 2016

10 3 rd Trimester Measurement and Data (MD) MD.2.3 Tell and write time. Tell and write time in hours and half-hours using analog and digital clocks. 10: Telling and Writing Time 8 Days: March 27 April 5 Write times to the hour shown on analog clocks. Write times to the half hour shown on analog clocks. 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. Time to the Hour Time to the Half Hour Tell Time to the Hour and Half Hour Practice Time to the Hour and Half Hour half half hour hour hour hand minutes minute hand

11 3 rd Trimester Measurement and Data (MD) MD.3.4 Represent and interpret data. 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. 11: Represent Data 10 Days: April 6 - April 20 Analyze and compare data shown in a picture graph where each symbol represents one. Make a picture graph where each symbol represents one and interpret the information. 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. Read Picture Graphs Make Picture Graphs Read Bar Graphs Make Bar Graphs Read Tally Charts Make Tally Charts Represent Data bar graph graph picture tally chart tally mark Solve problem situations using the strategy make a graph.

12 3 rd Trimester Geometry (G) Reason with shapes and their attributes. G.1.1 G.1.2 G.1.3 Distinguish between defining attributes versus non-defining attributes; build and draw shapes to possess defining attributes. 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. 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. 12: Two and Three -Dimensional Geometry 16 Days: April 24 May 15 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. Decompose combined shapes into shapes. Decompose two-dimensional shapes into parts. Identify and describe three-dimensional shapes according to defining attributes. Compose a new shape by combining threedimensional 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. Identify equal and unequal parts (or shares) in two-dimensional shapes. Partition circles and rectangles into two equal shares. Partition circles and rectangles into four equal shares. Sort 2- Dimensional Shapes Describe 2-Dimensional Shapes Combine 2-Dimensional Shapes Combine More Shapes / Make New Two-Dimensional Shapes Find Shapes in Shapes / Take Apart 2- Dimensional Shapes 3-Dimensional Shapes Combine 3- Dimensional Shapes Make New 3-Dimensional Shapes / Take Apart 3-Dimensional Shapes Two Dimensional Shapes on 3- Dimensional Shapes Equal or Unequal Parts Halves Fourths iready Diagnostic 3 Testing Window: May 8 May 26 Finalizing Mastery of 1 st Grade MAFS: May 16 June 2, 2016 Last Day of School: June 2, 2016 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

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