- Grade 4 Module/UNIT- 1: Place Value, Rounding, and Algorithms for Addition and Subtraction
In this 25-day module/unit of Grade 4, students extend their work with whole numbers. They begin with large numbers using familiar units (hundreds and thousands) and develop their understanding of millions by building knowledge of the pattern of times ten in the base ten system on the place value chart (4.NBT.1). They recognize that each sequence of three digits is read as hundreds, tens, and ones followed by the naming of the corresponding base thousand unit (thousand, million, billion).
Topic A: Place Value of Multi-Digit Whole
Numbers
In Topic A, students build the place value chart to 1 million and learn the relationship between each place
value as 10 times the value of the place to the right. Students manipulate numbers to see this relationship,
such as 30 hundreds composed as 3 thousands. They decompose numbers to see that 7 thousands is the
same as 70 hundreds. As students build the place value chart into thousands and up to 1 million, the
sequence of three digits is emphasized. They become familiar with the base thousand unit names up to 1
billion. Students fluently write numbers in multiple formats: as digits, in unit form, as words, and in
expanded form up to 1 million.
- Grade 3 Module/Unit- 1: Properties of Multiplication and Division and Solving Problems with Units of 2–5 and 10. This 25-day module begins the year by building on students’ fluency with addition and knowledge of arrays
Topic A: Multiplication and the meaning of the Factors
Lessons in Topic A move students toward understanding familiar repeated addition from Grade 2 in the form of array models, which become a cornerstone of the module. Students use the language of multiplication as they understand what factors are and differentiate between the size of groups and the number of groups within a given context. In this module the factors 2, 3, 4, 5, and 10 provide an entry point for moving into more difficult factors in later modules or units.
- Grade 2 Module 1: Sums and Differences to 20
Module/Unit 1 sets the foundation for students to master the sums and differences to 20 and to subsequently apply these skills to fluently add one-digit to two-digit numbers at least through 100 using place value understandings, properties of operations and the relationship between addition and subtraction.
In this first module of Grade 2, students make significant progress towards fluency with sums and differences within 20 (2.OA.2). Fluency, coupled with a fundamental grasp of place value, rests on three essential skills: 1) knowing number bonds of ten, 2) adding ten and some ones, and 3) the number bonds (pairs) of numbers through ten. Topic A energetically revisits this familiar ground from kindergarten (K.OA.3) and Grade 1 (1.OA.6) at a new pace; we move quickly from concrete to pictorial to abstract. All the material included herein can be included in daily fluency work, and should be if students lack fluency with mental strategies. In Lesson 1, students use ten-frames to model number bonds of ten as they generate addition and subtraction number sentences and solve for the missing part by bonding, counting on, or subtracting. Students record and share number bonds of 10 to regain their Grade 1 fluency and understanding. Lesson 2 continues with students revisiting number pairs through 10 and each pair’s related facts. Again, students work with ten-frame cards to create number bonds and to determine a corresponding subtraction number sentence. As students play a part–whole game, they practice finding the missing part and decomposing a given quantity in a variety of ways. The application problems in these earlier lessons follow the concept development to provide students with the opportunity to discover the connection between the one-step story problems (2.OA.1) and the models (i.e., ten-frames, number bonds) and to articulate their observations with classmates
