# 4th Grade Math

**Module 3**

Multi-Digit Multiplication and Division

Standards 4.MD.A.3 | 4.OA.A.1 | 4.OA.A.2 4.NBT.A.1 | 4.NBT.B.5

**Lesson 1:**Investigate and use the formulas for area and perimeter of rectangles.**Lesson 2:**Solve multiplicative comparison word problems by applying the area and perimeter formulas.**Lesson 3:**Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems.**Lesson 4:**Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.**Lesson 5:**Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns.**Lesson 6:**Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.**Lesson 7:**Use place value disks to represent two-digit by one-digit multiplication.**Lesson 8:**Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.**Lesson 9:**Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.**Lesson 10:**Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.**Lesson 11:**Connect the area model and the partial products method to the standard algorithm.**Lesson 12:**Solve two-step word problems, including multiplicative comparison.**Lesson 13:**Use multiplication, addition, or subtraction to solve multi-step word problems.

**Module 2**

Unit Conversions and Problem Solving with Metric Measurement

The idea of a mixed unit shows up in varied contexts. For instance, students have become accustomed to thinking of 250 as the mixed units of 2 hundreds 5 tens. Mixed units are also used in the context of 2 hr 5 min, $2.50, 2 km 5 m, 2′ 5″, and 258258 (hours and minutes, dollars and cents, kilometers and meters, feet and inches, ones and eighths). While the context and the units may vary greatly, there are many common threads present in any mixed unit calculation.

In order to explore the process of working with mixed units, Module 2 focuses on length, mass, and capacity in the metric system^{[1]} where place value serves as a natural guide for moving between larger and smaller units.

- Measurement & Data

4.MD.A.1 | 4.MD.A.2 - Solve problems involving measurement and conversion of measurements.
- 4.MD.A.1 | 4.MD.A.2

**Module 1**

In this 25-day Grade 4 module, 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.A.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).[1]

Module 1 Review is available for lessons 11-18.

Review Answer Key below.

Mid-Module Review is available for lessons 1-10.