Grade 2 Unit 8 Developing Multiplication Mathematics

Transcription

1 Unit Goals Stage 1 Number of Days: 31 Traditional: May 4 June 15 Track B: June 15 July 26, 2017 Unit Description: Students finish the year in Unit 8 by extending their understanding of a unit to build the foundation for multiplication and division. Making equal groups of four apples each establishes the unit four apples (or just four) that can then be counted: 1 four, 2 fours, 3 fours, etc. Relating the new unit to the one used to create it develops the idea of multiplication: 3 groups of 4 apples equals 12 apples (or 3 fours is 12). Materials: square tiles, coins, graph paper, colored pencils, hundreds chart, number line Standards for Mathematical Practice Transfer Goals Students will be able to independently use their learning to SMP.1 Make sense of problems and Make sense of never-before-seen problems and persevere in solving them. persevere in solving them. Construct viable arguments and critique the reasoning of others. SMP.2 Reason abstractly and Making Meaning quantitatively. UNDERSTANDINGS ESSENTIAL QUESTIONS SMP.3 Construct viable arguments and Students will understand that Students will keep considering critique the reasoning of others. Even numbers can be broken into pairs and How can you determine if a number is even SMP.4 Model with mathematics. odd numbers will have pairs with one left or odd? SMP.5 Use appropriate tools strategically. over. How can building a rectangular array help SMP.6 Attend to precision. A rectangular array will have rows with an determine the total number? SMP.7 Look for and make use of structure. equal number in each row. SMP.8 Look for and express regularity in repeated reasoning.. Standards for Mathematical Content Clusters Addressed Operations and Algebraic Thinking [s] 2.OA.C Work with equal groups of objects to gain foundations for multiplication. Geometry [m] 2.G.A Reason with shapes and their attributes. KNOWLEDGE Students will know The definition of the academic vocabulary words such as: even, equal groups, odd, and rectangular array. Acquisition SKILLS Students will be skilled at and/or be able to Determine whether a group of objects (up to 20) has an odd or even number of members. Write an equation to express an even number as a sum of two equal addends. Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns. Write an equation to express the total as a sum of equal addends. Partition a rectangle into rows and columns of same size squares and count to find the total number of them. LONG BEACH UNIFIED SCHOOL DISTRICT 1 Reposted 4/24/17

2 Standards for Mathematical Practice Assessed Grade Level Standards SMP.1 SMP.2 SMP.3 SMP.4 SMP.5 SMP.6 SMP.7 SMP.8 Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Standards for Mathematical Content Operations and Algebraic Thinking [s] 2.OA.C Work with equal groups of objects to gain foundations for multiplication. 2.OA.3 2.OA.4 Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s: write an equation to express an even number as a sum of two equal addends. Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends. [m] 2.G.A Reason with shapes and their attributes. 2.G.2 Partition a rectangle into rows and columns of same size squares and count to find the total number of them. Key: [m] = major clusters; [s] = supporting clusters; [a] = additional clusters LONG BEACH UNIFIED SCHOOL DISTRICT 2 Reposted 4/24/17

3 Evidence of Learning Stage 2 Assessment Evidence Unit Assessment Students will complete selected response and constructed response items to indicate level of mastery/understanding of the unit standards as outlined in this guide. [s] 2.OA.C Students can determine if a number is even or odd. Students will use patterns to find equal amounts. Students will identify repeated addition sentences for given arrays. Students will create arrays given a specific number. Student can solve word problems using arrays and number sentences. [m] 2.G.A Students can find the total number of same-size squares in a rectangular array. For selected content, students will need to Solve complex problems in pure and applied mathematics, making productive use of knowledge and problem solving strategies. Clearly and precisely construct viable arguments to support their own reasoning and critique the reasoning of others. Other Evidence Formative Assessment Opportunities Opening Tasks Go Math! Show What You Know Classroom Challenges Go Math! Performance Task Go Math! Chapter Assessment Review/Test Go Math! Getting Ready for SBAC Go Math! Standards Practice Book (Homework) Quizzes Extension Menus It s All About the Facts Supplemental materials In-class projects Exit slips Recorded Teacher Observations Writing activities Access Using Formative Assessment for Differentiation for suggestions. Located on the LBUSD website M Mathematics Curriculum Documents. LONG BEACH UNIFIED SCHOOL DISTRICT 3 Reposted 4/24/17

4 Days Daily Daily 90 minutes per week (Schools/ grades with ST Math) Metas de Aprendizaje Sabré las operaciones básicas de sumas y restas hasta 20 al... Usaré las estrategias matemáticas mentales para sumar y restar al Perseveraré en la resolución de problemas al practicar juegos interactivos para ayudarme a entender las matemáticas al 1 Puedo investigar una variedad al Learning Plan Stage 3 Suggested Sequence of Key Learning Events and Instruction Core Resources: Success Criteria Go Math! (Universal Access for SPED, Struggling Students, ELL, GATE) Saying them orally. Writing Fact Families. Using multiple strategies. Participating in daily Number Talks. Communicating my reasoning. Developing long term problem solving skills. Visualizing math concepts. Making connections between concepts and across grades. OPENING TASK Color Tiles Building a rectangle. Using color tiles. Determining the total number of tiles. Using manipulatives to find pairs. Discovering patterns. Skip Counting. Communicating my reasoning. It s All About the Facts and/or Maintaining Fluency Through Fact Families pgs. 2 6 Daily Routines: Fluency Builder Lessons:3.10, 3.11 Go Math! Strategies and Practice for Skills and Facts Fluency Number Talks Strategies and Problem Sets Grs. 2-5 ST Math Objectives Equal Groups Rows and Columns Partitioning Supplemental Resources: Books, Internet, Curriculum Intranet (LBUSD Math Intranet/ Instructional Tools/Elementary Gr. 2) It s All About the Facts Supplemental Materials o Facts Games ST Math Tips Celebrate JiJi success. Access trs.stmath.com (keyword search certificates recognition ) Color Tiles Engage, Explore and Evaluate Problems 2 3 Puedo determinar **Review lesson from Unit 2 Read A Remainder of One si un número es par Lesson 1.1: Hands On: Tiling Is the pattern even o non al Algebra- Even and Odd or odd Numbers pgs.113a 16 Early Mathematics: Session 6 Even and Odd Exit Ticket Question: I have written a secret number between 50 and 70. LONG BEACH UNIFIED SCHOOL DISTRICT 4 Reposted 4/24/17

5 Days Metas de Aprendizaje 4 6 Puedo crear grupos iguales para encontrar cuántos hay en total al 7 8 Puedo comparar dos opciones de premios al Learning Plan Stage 3 Suggested Sequence of Key Learning Events and Instruction Core Resources: Success Criteria Go Math! (Universal Access for SPED, Struggling Students, ELL, GATE) Determining how many groups and the equal number in each group. Using counters (manipulatives). Skip counting. FORMATIVE ASSESSMENT LESSON You Won! Pick Your Prize Determining their values. Working with equal groups. Finding the sum of equal addends. Communicating my Reasoning. Lesson 3.10: Problem Solving Equal Groups pgs. 157A 160 FAL- You Won! Pick Your Prize Supplemental Resources: Books, Internet, Curriculum Intranet (LBUSD Math Intranet/ Instructional Tools/Elementary Gr. 2) It is an even number. What number might I be? Exit Ticket: Write down some odd numbers between 0 and 100. Exit Ticket Question: Count by twos until you land on twenty. What other numbers can you count by and still land on twenty? *Repeat by increasing the goal number from twenty to fifty, then one hundred. You Won! Pick Your Prize, Teacher Guide Differentiated Activities 9 10 Puedo determinar la suma del sumando al Building arrays. Partitioning a rectangle into rows and columns of same-sized squares. Creating equal groups of objects Pairing objects into 2 s. Writing repeated addition sentences. Problem Solving using real world application. Lesson 3.11: Algebra Repeated Addition pgs. 161A 164 ** Use the math vocabulary: array: an arrangement of objects in equal rows. Writing Activity - Rectangular Arrays Early Mathematics, Session 7 Reasoning about Quantities (arrays) Maria s Fruit Stand Puedo dividir por igual un rectángulo Using a square tiles to cover the rectangle. Recognizing what a row is and a column is. Lesson 11.7: Partition Rectangles pgs. 545A 547 LONG BEACH UNIFIED SCHOOL DISTRICT 5 Reposted 4/24/17

6 Days Metas de Aprendizaje en hileras y columnas al Learning Plan Stage 3 Suggested Sequence of Key Learning Events and Instruction Core Resources: Success Criteria Go Math! (Universal Access for SPED, Struggling Students, ELL, GATE) Finding the total number of square tiles used to cover the whole rectangle. Supplemental Resources: Books, Internet, Curriculum Intranet (LBUSD Math Intranet/ Instructional Tools/Elementary Gr. 2) 13 Unit Assessment Review from Unit 1 - Ch. 3 Performance Task At the Zoo (Assessment Guide) End of Course (EOC) Review and Test Traditional: May 24 to June 3 Track B:July 6 to July 15 The Grade 2 Math End of Course (EOC) exam will be administered online only via the Synergy online assessment platform. The assessment will consist of 20 items and is recommended to be administered over two sittings. Directions for online EOC administration will be delivered to principals and counselors with the K-1 paper-pencil EOC exams, approximately two weeks prior to the opening of the EOC window Students will get ready for Grade 3 by completing various tasks. Traditional: June 6 to June 15 Track B: July 19 to July 26 We would appreciate feedback on the following: Unit Guide Unit Assessment and FAL - Planning Guide pgs. PG50 PG93 Standards Practice Book Getting Ready for Grade 2 pp P247 P292 Critical Area Review Project: Plan a Trip to the Zoo, Planning Guide pgs. PG44 PG45 LONG BEACH UNIFIED SCHOOL DISTRICT 6 Reposted 4/24/17