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First Grade Everyday Math – Pacing Guide The World is changing. Meet the future. 1st Quarter Unit Name Colorado Academic Standards Unit 1: Daily Routines Standard: 1. Number Sense, Properties, and Operations (1.1a.i, 1.1a.ii, 1.1b.i, 1.The whole number system describes place value relationships within and beyond 100 and forms 14 days 1.1b.ii, 1.1b.iii 1.1c.v, the foundation for efficient algorithms 1.2a.i, 1.2c.i, 3.1a.i, 3.1a.ii, a. Count to 120 : i. Count starting at any number less than 120. ii. Within 120, read and write numerals and 4.1a, 4.1b) represent a number of objects with a written numeral. Unit 2: Everyday Use of b. Represent and use the digits of a two-digit number. Numbers i. Represent the digits of a two-digit number as tens and ones. (1.1a.i, 1.1a.ii, 1.1b.ii, ii. Compare two two-digit numbers based on meanings of the tens and ones digits, 20 days 1.1c.i, 1.1c.ii,1.1 c.v, 1.2a.i, recording the results of comparisons with the symbols >, =, and <. 1.2c.i, 1.2c.ii, 1.2c.iii, 1.2d.i, iii. Compare two sets of objects, including pennies, up to at least 25 using language such as 3.1ai, 3.1a.ii, 4.2a.ii, "three more or three fewer" (PFL) 4.2b.ii) c. Use place value and properties of operations to add and subtract. Begin Unit 3 Visual i. Add within 100, including adding a two-digit number and a one-digit number and adding a two-digit number and a multiple of ten, using concrete models or drawings, and/or the Patterns, Number Patterns, relationship between addition and subtraction. Counting ii. Identify coins and find the value of a collection of two coins (PFL). v. Relate addition and (1.1a.i, 1.1a.ii, 1.1b.ii, subtraction strategies to a written method and explain the reasoning used. 1.1c.i, 1.1c.ii, 1.1c.iv, 2. Number relationships can be used to solve addition and subtraction problems 1.1c.v, 1.2a.i, 1.2c.i, 1.2c.ii, c. Add and subtract within 20. 1.2c.iii,1.2d.i, 3.1a.i, 3.1a.ii, i. Relate counting to addition and subtraction. 4.1a, 4.2b.i) ii. Add and subtract within 20 using multiple strategies. iii. Demonstrate fluency for addition and subtraction within 10. Standard: 3. Data Analysis, Statistics, and Probability 2 days 1.Visual displays of information can used to answer questions a. Represent and interpret data. i. Organize, represent, and interpret data with up to three categories. ii. 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. Standard: 4. Shape, Dimension, and Geometric Relationships 2.Measurement is used to compare and order objects and events a. Measure lengths indirectly and by iterating length units. i. Express the length of an object as a whole number of length units. b. Tell and write time. i. Tell and write time in hours and half-hours using analog and digital clocks Page 1 District 11 2011-2012 First Grade Everyday Math – Pacing Guide 2nd Quarter Unit Name Colorado Academic Standards Unit 3: Visual Patterns, Standard: 1. Number Sense, Properties, and Operations Number Patterns, Counting 1.The whole number system describes place value relationships within and beyond 100 and forms (1.1a.i, 1.1a.ii, 1.1b.ii, the foundation for efficient algorithms 18 days 1.1c.i, 1.1c.ii, 1.1c.iv, a. Count to 120 : i. Count starting at any number less than 120. 1.1c.v, 1.2a.i, 1.2c.i, 1.2c.ii, ii. Within 120, read and write numerals and represent a number of objects with a written 1.2c.iii,1.2d.i, 3.1a.i, 3.1a.ii, numeral. 4.1a, 4.2b.i) b. Represent and use the digits of a two-digit number. Unit 4: Measurement and i. Represent the digits of a two-digit number as tens and ones. Basic Facts ii. Compare two two-digit numbers based on meanings of the tens and ones digits, (1.1a.i, 1.1a.ii, 1.1c.i, recording the results of comparisons with the symbols >, =, and <. 19 days iii. Compare two sets of objects, including pennies, up to at least 25 using language such as 1.1c.v, 1.2a.ii, 1.2b.i, 1.2c.i, 1.2c.ii, 1.2c.iii, 1.2d.ii, 4.1b, "three more or three fewer" (PFL) 4.1d.i,4.2a.i, 4.2a.ii,) c. Use place value and properties of operations to add and subtract. i. Add within 100, including adding a two-digit number and a one-digit number and adding a two-digit number and a multiple of ten, using concrete models or drawings, and/or the relationship between addition and subtraction. Begin Unit 5 Place Value, ii. Identify coins and find the value of a collection of two coins (PFL). Number Stories, Basic iii. Mentally find 10 more or 10 less than any two-digit number, without counting; explain Facts the reasoning used. (1.1a.i, 1.1a.ii, 1.1b.i, iv. Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 1.1b.ii,1.1b.iii, 1.1c.i, (positive or zero differences), using concrete models or drawings and strategies based on 1.1c.ii, 1.1c.iii, 1.1c.v, place value, properties of operations, and/or the relationship between addition and 1.2a.i, 1.2b.i, 1.2c.i, 1.2c.ii, subtraction. 1.2c.iii, 1.2d.i) v. Relate addition and subtraction strategies to a written method and explain the reasoning 4 day used. 2. Number relationships can be used to solve addition and subtraction problems a. Represent and solve problems involving addition and subtraction. i. Use addition and subtraction within 20 to solve word problems. ii. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20. b. Apply properties of operations and the relationship between addition and subtraction. i. Apply properties of operations as strategies to add and subtract c. Add and subtract within 20. i. Relate counting to addition and subtraction. ii. Add and subtract within 20 using multiple strategies. Page 2 District 11 2011-2012 First Grade Everyday Math – Pacing Guide 2nd Quarter Unit Name Colorado Academic Standards iii. Demonstrate fluency for addition and subtraction within 10. d. Use addition and subtraction equations to show number relationships. ii. Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. Standard: 3. Data Analysis, Statistics, and Probability 1.Visual displays of information can used to answer questions a. Represent and interpret data. i. Organize, represent, and interpret data with up to three categories. ii. 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. Standard: 4. Shape, Dimension, and Geometric Relationships 1.Shapes can be described by defining attributes and created by composing and decomposing i a . Distinguish between defining attributes versus non-defining attributes. b. Build and draw shapes to possess defining attributes. d. Partition circles and rectangles into two and four equal shares. i. Describe shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. 2.Measurement is used to compare and order objects and events a. Measure lengths indirectly and by iterating length units. i. Express the length of an object as a whole number of length units. ii. Express the length of an object as a whole number of length units b. Tell and write time. i. Tell and write time in hours and half-hours using analog and digital clocks. 3rd Quarter Unit Name Colorado Academic Standards Unit 5: Place Value, Standard: 1. Number Sense, Properties, and Operations Number Stories, Basic 1.The whole number system describes place value relationships within and beyond 100 and forms Facts the foundation for efficient algorithms 16 days a. Count to 120 : (1.1a.i, 1.1a.ii, 1.1b.i, i. Count starting at any number less than 120. 1.1b.ii,1.1b.iii, 1.1c.i, ii. Within 120, read and write numerals and represent a number of objects with a written 1.1c.ii, 1.1c.iii, 1.1c.v, Page 3 District 11 2011-2012 First Grade Everyday Math – Pacing Guide 3rd Quarter Unit Name Colorado Academic Standards 1.2a.i, 1.2b.i, 1.2c.i, 1.2c.ii, numeral. 1.2c.iii, 1.2d.i) b. Represent and use the digits of a two-digit number. i. Represent the digits of a two-digit number as tens and ones. ii. Compare two two-digit numbers based on meanings of the tens and ones digits, Unit 6: Developing Fact recording the results of comparisons with the symbols >, =, and <. Power c. Use place value and properties of operations to add and subtract. (1.1c.i, 1.1c.ii, 1.1c.v, i. Add within 100, including adding a two-digit number and a one-digit number and adding 18 days 1.2b.i, 1.2c.i, 1.2c.ii, 1.2c.iii, a two-digit number and a multiple of ten, using concrete models or drawings, and/or the 1.2d.i, 1.2d.ii,3.1a.i, 3.1a.ii, relationship between addition and subtraction. 4.1c, 4.2a.ii) ii. Identify coins and find the value of a collection of two coins (PFL). Unit 7: Geometry & iii. Mentally find 10 more or 10 less than any two-digit number, without counting; explain Attributes the reasoning used. (1.1c.v, 1.2b.i, 3.1a.i, iv. Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 3.1a.ii, 4.1a, 4.1b, 4.1c, (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 4.2a.i) subtraction. 2. Number relationships can be used to solve addition and subtraction problems a. Represent and solve problems involving addition and subtraction. i. Use addition and subtraction within 20 to solve word problems. b. Apply properties of operations and the relationship between addition and subtraction. i. Apply properties of operations as strategies to add and subtract c. Add and subtract within 20. i. Relate counting to addition and subtraction. ii. Add and subtract within 20 using multiple strategies. iii. Demonstrate fluency for 11 days addition and subtraction within 10. d. Use addition and subtraction equations to show number relationships. ii. Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. Standard: 3. Data Analysis, Statistics, and Probability 1.Visual displays of information can used to answer questions a. Represent and interpret data. i. Organize, represent, and interpret data with up to three categories. ii. 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. Standard: 4. Shape, Dimension, and Geometric Relationships 1.Shapes can be described by defining attributes and created by composing and decomposing ii a . Distinguish between defining attributes versus non-defining attributes. Page 4 District 11 2011-2012 First Grade Everyday Math – Pacing Guide 3rd Quarter Unit Name Colorado Academic Standards b. Build and draw shapes to possess defining attributes. 2.Measurement is used to compare and order objects and events a. Measure lengths indirectly and by iterating length units. i. Express the length of an object as a whole number of length units. ii. Express the length of an object as a whole number of length units. 4th Quarter Unit Name Colorado Academic Standards Unit 8: Mental Arithmetic, Standard: 1. Number Sense, Properties, and Operations Money, Fractions 1.The whole number system describes place value relationships within and beyond 100 and forms (1.1a.ii1.1b.i, the foundation for efficient algorithms 14 days 1.1c.i1.1c.ii1.1c.v, 1.2a.i, a. Count to 120 : ii. Within 120, read and write numerals and represent a number of objects with a written 1.2c.i, 1.2c.ii, 1.2c.iii, 3.1a.i, numeral. 3.1a.ii, 4.1d.i, 4.1d.ii) b. Represent and use the digits of a two-digit number. Unit 9: Place Value & i. Represent the digits of a two-digit number as tens and ones. iii. Compare two sets of Fractions objects, including pennies, up to at least 25 using language such as "three more or three (1.1a.ii,1.1b.i, 1.1c.i, fewer" (PFL) 13 days 1.1c.iii, 1.1c.iv, 1.1c.v, c. Use place value and properties of operations to add and subtract. 1.2c.i, 1.2c.ii, 1.2c.iii, 4.1b, i. Add within 100, including adding a two-digit number and a one-digit number and adding 4.1d.i, 4.1d.ii) a two-digit number and a multiple of ten, using concrete models or drawings, and/or the Unit 10: Year-End Review relationship between addition and subtraction. ii. Identify coins and find the value of a collection of two coins (PFL). & Assessment iii. Mentally find 10 more or 10 less than any two-digit number, without counting; explain (1.1a.ii, 1.1b.iii, 1.1c.i, the reasoning used. 1.1c.ii, 1.1c.iv, 1.1c.v, iv. Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 1.2a.i, 3.1a.i, 3.a.ii, 4.1a, (positive or zero differences), using concrete models or drawings and strategies based on 12 days 4.1b,) place value, properties of operations, and/or the relationship between addition and subtraction. v. Relate addition and subtraction strategies to a written method and explain the reasoning used. 2. Number relationships can be used to solve addition and subtraction problems a. Represent and solve problems involving addition and subtraction. Page 5 District 11 2011-2012 First Grade Everyday Math – Pacing Guide 4th Quarter Unit Name Colorado Academic Standards i. Use addition and subtraction within 20 to solve word problems. c. Add and subtract within 20. i. Relate counting to addition and subtraction. ii. Add and subtract within 20 using multiple strategies. iii. Demonstrate fluency for addition and subtraction within 10. Standard: 3. Data Analysis, Statistics, and Probability 1.Visual displays of information can used to answer questions a. Represent and interpret data. i. Organize, represent, and interpret data with up to three categories. ii. 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. Standard: 4. Shape, Dimension, and Geometric Relationships 1.Shapes can be described by defining attributes and created by composing and decomposing a . Distinguish between defining attributes versus non-defining attributes. b. Build and draw shapes to possess defining attributes. d. Partition circles and rectangles into two and four equal shares. i. Describe shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. ii. Describe the whole as two of, or four of the equal shares. 2.Measurement is used to compare and order objects and events a. Measure lengths indirectly and by iterating length units. i. Express the length of an object as a whole number of length units. b. Tell and write time. i. Tell and write time in hours and half-hours using analog and digital clocks. *For each unit there have been days added for small group re-teaching, games, projects, and possible supplemental lessons to meet all Colorado State Math Standards.**Remember that with EDM - Page 6 District 11 2011-2012