Instructional Alignment Chart (K-2) Domain: Number and Operations in Base Ten A. Cluster for Grade/Course: B. Cluster for Grade/Course: K.NBT.A: Work with numbers 11-19 to gain foundations for place value. 1. Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (such as 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones 1.NBT.B Understand place value. 2. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: a) 10 can be thought of as a bundle of ten ones — called a “ten;” b) The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones; and c) 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 0 ones). 3. Compare two twodigit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. D. Changes C. Cluster for Grade/Course: 2.NBT.A Understand place value (1) Understand that the three digits of a threedigit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: a) 100 can be thought of as a bundle of ten tens — called a “hundred;" and b) The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones)(2) Count within 1000; skip-count by 5s, 10s, and 100s.(3) Read and write numbers to 1000 using baseten numerals, number names, and expanded form.4. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons. E. Changes K-ten and some more; specify how many more in 1st K-no bundling Move from single to two digit numbers 1- bundling of tens 1-using ten and specific one number 1-tens, one ten, two tens, etc. 1-comparing 2-digit numbers F. 2-conceptual language one hundred, two hundred 2-bundling of 100s 2-compare 2-digit to 3-digit 2-number line Skip counting Place value-expanded form Levels of Instruction (Kindergarten) Provide Developmental Activities -Math Journal-problem solving together (modeling, pictures, adding numeral equations) -Tens frames-model numbers with tens frame/double ten frame -Tens frames-numeral-decomposing/composing-using manipulatives -Dice game-rolling dice composing numbers-creating numbers on a ten frame or find number on a number line or graph G. Implications for Instruction and Assessment (Kindergarten) Using tens frame-numeral cards-assessment; student who work Using number line or graph of numbers-using dice and manipulatives to add/subtract Consider students’ learning engagement and use what students know about tens frames and numbers Identify the Standards for Mathematical Practice that will be used to approach the content. Adapted from A Study of the Common Core State Standards developed by the Charles A. Dana Center at the University of Texas at Austin Instructional Alignment Chart (K-2) Domain: Number and Operations in Base Ten A. Cluster for Grade/Course: B. Cluster for Grade/Course: K.NBT.A: Work with numbers 11-19 to gain foundations for place value. 1. Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (such as 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones 1.NBT.B Understand place value. 2. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: a) 10 can be thought of as a bundle of ten ones — called a “ten;” b) The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones; and c) 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 0 ones). 3. Compare two twodigit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. D. Changes C. Cluster for Grade/Course: 2.NBT.A Understand place value (1) Understand that the three digits of a threedigit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: a) 100 can be thought of as a bundle of ten tens — called a “hundred;" and b) The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones)(2) Count within 1000; skip-count by 5s, 10s, and 100s.(3) Read and write numbers to 1000 using baseten numerals, number names, and expanded form.4. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons. E. Changes K-ten and some more; specify how many more in 1st K-no bundling Move from single to two digit numbers 1- bundling of tens 1-using ten and specific one number 1-tens, one ten, two tens, etc. 1-comparing 2-digit numbers F. 2-conceptual language one hundred, two hundred 2-bundling of 100s 2-compare 2-digit to 3-digit 2-number line Skip counting Place value-expanded form Levels of Instruction (First Grade) Provide Reinforcement Activities Understands tens and ones—compose and decompose numbers 11-19 Pictures Tens frames Tens and Ones blocks Provide Developmental Activities <, >, = 100s chart, Number lines Decade numbers G. Implications for Instruction and Assessment (First Grade) Oral counting needs to be fluent Layer cards for place value Recognizing numbers Creating “teen” numbers Math Mountain (number bond) Give students time to explain Relate problems to life Identify the Standards for Mathematical Practice that will be used to approach the content. Adapted from A Study of the Common Core State Standards developed by the Charles A. Dana Center at the University of Texas at Austin Instructional Alignment Chart (K-2) Domain: Number and Operations in Base Ten A. Cluster for Grade/Course: B. Cluster for Grade/Course: K.NBT.A: Work with numbers 11-19 to gain foundations for place value. 1. Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (such as 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones 1.NBT.B Understand place value. 2. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: a) 10 can be thought of as a bundle of ten ones — called a “ten;” b) The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones; and c) 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 0 ones). 3. Compare two twodigit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. D. Changes C. Cluster for Grade/Course: 2.NBT.A Understand place value (1) Understand that the three digits of a threedigit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: a) 100 can be thought of as a bundle of ten tens — called a “hundred;" and b) The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones)(2) Count within 1000; skip-count by 5s, 10s, and 100s.(3) Read and write numbers to 1000 using baseten numerals, number names, and expanded form.4. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons. E. Changes K-ten and some more; specify how many more in 1st K-no bundling Move from single to two digit numbers 1- bundling of tens 1-using ten and specific one number 1-tens, one ten, two tens, etc. 1-comparing 2-digit numbers F. 2-conceptual language one hundred, two hundred 2-bundling of 100s 2-compare 2-digit to 3-digit 2-number line Skip counting Place value-expanded form Levels of Instruction (Second Grade) Provide Reinforcement Activities Understand 3-digit numbers build on understanding of 2-digit numbers Emphasize concrete objects, pictures Work with base 10 blocks, place value charts, numeral expanders Reinforce 2-digit understanding with number line and 100s chart Provide Drill and Practice Activities On building numbers toward the end of the students’ experiences G. Implications for Instruction and Assessment (Second Grade) Use what students know about 2-digit numbers Emphasize repeated bundling, work with different ways to build numbers Use all base 10 models/tools to reinforce quantities Combine and cross reference tool sin practice Identify the Standards for Mathematical Practice that will be used to approach the content. Adapted from A Study of the Common Core State Standards developed by the Charles A. Dana Center at the University of Texas at Austin Instructional Alignment Chart (K-2) Adapted from A Study of the Common Core State Standards developed by the Charles A. Dana Center at the University of Texas at Austin