Math: Quarter 1

Curriculum

Module 1:  Place Value, Rounding, And Algorithms for Addition and Subtraction 

Students will 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. 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).  They will continue to use place value as a basis for comparing whole numbers, which will lead to rounding to any place value.  Further, students will become fluent with adding and subtracting whole numbers.  The module ends with multi-step word problems.

 

Topic A: Place Value of Multi-Digit Whole Numbers (Lessons 1-4) 

Topic B: Comparing Multi-Digit Whole Numbers (Lessons 5-6) 

Topic C: Rounding Multi-Digit Whole Numbers (Lessons 7-10) 

*Mid-Module Assessment*

Topic D: Multi-Digit Whole Number Addition (Lessons 11-12) 

Topic E: Multi-Digit Whole Number Subtraction (Lessons 13-16) 

Topic F: Addition and Subtraction Word Problems (Lessons 17-19) 

*End of Module Assessment*

 

Module 2:  Unit Conversions and Problem-Solving with Metric Measurement 

Module 2 is very short and focuses on length, mass, and capacity in the metric system where place value serves as a natural guide for moving between larger and smaller units.  Students review place value concepts while building fluency with decomposing or converting from larger to smaller units.  They learn the relative sizes of measurement units. Conversions between units are recorded in a two-column table and applied in single- and multi-step word problems involving addition and subtraction of metric units.  As students solve these word problems, their ability to reason in part and wholes is taken to the next level in order to prepare them for multi-digit operations and manipulating fractional units in future modules. 

 

Topic A: Metric Unit Conversions (Lessons 1-3) 

Topic B: Application of Metric Unit Conversions (Lessons 4-5) 

          *End-of-Module Assessment*

 

Module 3:  Multi-Digit Multiplication and Division 

Students will use place value understanding and visuals to solve multiplication and division problems.  We start by investigating area and perimeter and take it further with multiplicative comparisons for scaling.  We move further by using place value disks to multiply single digit numbers by 10, 100, and 1,000 and two-digit multiples of 10 by two-digit multiples of ten.  Strategies will be modeled and practiced: the associative property, area model, partial products, and algorithm.  From there, we will move into division using single-digit divisors (with and without remainders). Topic F explores factors, multiples, prime, and composite numbers within 100.  Topic G extends the practice of division with three and four- digit dividends using place value understanding. 

 

Topic A: Multiplicative Comparison Word Problems (Lessons 1-3) 

Topic B: Multiplication by 10, 100, and 1,000 (Lessons 4-6) 

Topic C: Multiplication of up to Four Digits by Single-Digit Numbers (Lessons 7-11) 

Topic D: Multiplication Word Problems  (Lessons 12-13) 

            *Mid-Module Assessment*

Topic E: Division of Tens and Ones with Successive Remainders (Lessons 14-21) 

Topic F: Reasoning with Divisibility  (Lessons 22-25) 

Topic G: Division of Thousands, Hundreds, Tens, and Ones  (Lessons 26-33) 

Topic H: Multiplication of Two-Digit by Two-Digit Numbers  (Lessons 34-38) 

           *End-of-Module Assessment*