2015-2016 Curriculum Blueprint Grade: 1 Course: Mathematics Topic 10 – Use Models and Strategies to Add Tens and Ones Flexible Time Line 13 days Topic Overview Students will use place value understanding and properties of operations to add and subtract, including adding a two-digit number to a one-digit number or two-digit number with a sum of less than 100. Vertical Progression Kindergarten: Students use place-value blocks to model numbers to 100 and used a hundred chart to count by ones and tens. Grade 2: Students will add using a hundred chart, an open number line, the strategies of breaking apart one or both addends, and compensation. Learning Goal Essential Question Students will use model and strategies to add within 100. What are ways to use tens and ones to add? Topic 10 Scale Textbook Correlation *Be selective in choosing problems aligned to the standards within the topic. Lessons and problems used for instruction and assessment should be determined through collaborative unit planning. Recommended Instructional Sequence Step 1: Problem-Based Learning “Solve and Share” Problem-Based Learning Lesson Flow Map Conceptual understanding is developed when mathematics is introduced in the context of solving a real problem in which ideas related to the new content are embedded. Conceptual understanding results because the process of solving a problem requires students to connect their prior knowledge with the new concept or procedure (Charles, R., Bay-Williams, J., et al., 2016). Topic 10: Use Models and Strategies to Add Tens and Ones Lesson 10-1: Add Tens using Models Lesson 10-2: Mental Math: Ten More Than a Number Lesson 10-3: Add Tens and Ones Using a Hundred Chart Lesson 10-4: Add Tens and Ones Using an Open Number Line Each lesson in the book begins with a Solve and Share. See the Lesson 10-5: Add Tens and Ones using Models links below for additional tasks to be used as needed: Lesson 10-6: Make a Ten to Add Lesson 10-7: Add Using Place Value Math Formative Assessment System (MFAS) Tasks by Standard Lesson 10-8: Practice Adding Using Strategies Lesson 10-9: Math Practices and Problem Solving: Model with Illustrative Mathematics Tasks by Standard Math Step 2: “Visual Learning Bridge” Enhance student learning by connecting student thinking and solutions from the Solve and Share to the new ideas of the lesson through the use of the worked-out problem in the textbook. Essential Vocabulary Review Vocabulary from Topic 1- Topic 4 Deconstructed Standards MAFS.1.NBT.3.4 (DOK 2) 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. Identify the value of each digit of a number within 100 Decompose any number within one hundred into ten(s) and one (s) Choose an appropriate strategy for solving an addition problem within 100 Relate the chosen strategy (using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction) to written method (equation) and explain the reasoning used Use composition and decompositions of tens when necessary to add within 100 MAFS.1.NBT.3.5 (DOK 2) Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used. Identify the value of each digit in a number within 100 Explain how to mentally find 10 more or 10 less than a given two-digit number Apply knowledge of place value to mentally add or subtract 10 to/from a given two digit number Math Practice Standard(s) Link to Mathematical Practice Standards Rubric MAFS.K12.MP.4.1 Model with mathematics. MAFS.K12.MP.7.1 Look for and make use of structure. Additional Resources & Links Higher Order Questions & Writing Connections Link to Webb’s DOK Guide Georgia Units *Higher order questions should be utilized to foster a deep, conceptual Unit 5 Understanding Place Value understanding of the topic. Encouraging students to express their Task 8 Silly Symbols (pg. 65-72) mathematical thinking in writing helps them solidify their learning. EngageNY - Module 6 Lesson 29 www.pearsonrealize.com Home-School Connection Page Reteaching Pages Marzano Proficiency Scales Bank Math Formative Assessment System (MFAS) Tasks by Standard CPALMS -MFAS includes tasks and rubrics that the teacher can implement with their students. How can large quantities be counted efficiently? How can I represent addition and subtraction? How are the operations of addition and subtraction alike and different? How can different combinations of numbers and operations be used to represent the same quantity? How can we use skip counting to help us solve problems? How can you solve that problem in a different way? How do you know which strategy is best to use with this problem? Write a situation equation to represent the word problem. Generate a word problem to match the equation. Illustrative Mathematics Tasks by Standard The site illustrates standards with impeccably crafted tasks, videos, lesson plans, and curriculum modules Common Core Flip Books: Provides additional information and sample problems for every standard. FSA Test Items Specifications Spiral Review *Consistent review of previously learned standards allows students multiple opportunities to master and build fluency with mathematical concepts and procedures. www.pearsonrealize.com Daily Review 10-1 through 10-9
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