This video is part of the Learn and Grow with WHRO TV series. Watch Nicole Neice teach about place value with smaller numbers.

This video is part of the Learn and Grow with WHRO TV series. Watch Mary Mathias teach about place value with large numbers.

This video is part of the Learn and Grow with WHRO TV series. Watch Nicole Neice teach about place value with large numbers.

This video is part of the Learn and Grow with WHRO TV series. Watch Shantel Davis teach about place value.

I created this game to use in a place value lesson.  This activity supports sol 3.1a, read, write, and identify the value of each digit in a six-digit whole number, with and without models.  Before this lesson, my students identified digits, placement of commas to form large numbers, and read numbers written in standard form. The focus of this lesson is to read numbers written in standard form and word form.  The teacher gives the students a card with a standard form or word form number.  They travel the room to find their partner.  Then, students tell the class how they know they are partners.  Student talk is incorporated into the lesson.  This is vital and allows students to develop thoughts and convey ideas about what they are learning.

This is a remix of an lesson created by Tina Fuller: https://goopenva.org/courseware/lesson/1467This remix incorporates a mobile activity for the students as they play the game.

In the first unit of Grade 3, students will build on their understanding of the structure of the place value system from Grade 2 (MP.7), start to use rounding as a way to estimate quantities (3.NBT.1), as well as develop fluency with the standard algorithm of addition and subtraction (3.NBT.2). Throughout the unit, students attend to the precision of their calculations (MP.6) and use them to solve real-world problems (MP.4).

In Grade 2, students developed an understanding of the structure of the base-ten system as based in repeated bundling in groups of 10. With this deepened understanding of the place value system, Grade 2 students “add and subtract within 1000, with composing and decomposing, and they understand and explain the reasoning of the processes they use” (NBT Progressions, p. 8). These processes and strategies include concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction (2.NBT.7). As such, at the end of Grade 2, students are able to add and subtract within 1,000 but often aren’t relying on the standard algorithm to solve.

Thus, Unit 1 starts off with reinforcing some of this place value understanding of thousands, hundreds, tens, and ones being made up of 10 of the unit to its right that students learned in Grade 2. Students use this sense of magnitude and the idea of benchmark numbers to first place numbers on number lines of various endpoints and intervals, and next use those number lines as a model to help students round two-digit numbers to the tens place as well as three-digit numbers to the hundreds and tens place (3.NBT.1). Next, students focus on developing their fluency with the addition and subtraction algorithms up to 1,000, making connections to the place value understandings and other models they learned in Grade 2 (3.NBT.2). Last, the unit culminates in a synthesis of all learning thus far in the unit, in which students solve one- and two-step word problems involving addition and subtraction and use rounding to assess the reasonableness of their answer (3.OA.8), connecting the NBT and OA domains. These skills are developed further and built upon in subsequent units in which multiplication and division are added to the types of word problems students estimate and solve.

The original module, created by Eureka Math, consisted of 19 lessons. It has been altered to include the first 10 lessons involving place value of multi-digit whole numbers, comparing multi-digit whole numbers, and rounding multi-digit whole numbers.  Students work with large numbers using familiar units (hundreds and thousands) and develop their understanding of millions by building their knowledge of the pattern of times ten in the base ten system on the place value chart. They learn to 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, and million). 

In the first unit of Grade 5, students will build on their understanding of the structure of the place value system from Grade 4 (MP.7) by extending that understanding to decimals. By the end of the unit, students will have a deep understanding of the base-ten structure of our number system, as well as how to read, write, compare, and round those numbers.

In Grade 4, students developed the understanding that a digit in any place represents ten times as much as it represents in the place to its right (4.NBT.1). With this deepened understanding of the place value system, students read and wrote multi-digit whole numbers in various forms, compared them, and rounded them (4.NBT.2—3).

Thus, Unit 1 starts off with reinforcing some of this place value understanding of multi-digit whole numbers to 1 million, building up to that number by multiplying 10 by itself repeatedly. After this repeated multiplication, students are introduced to exponents to denote powers of 10. Then, students review the relationship in a whole number between a place value and the place to its left (4.NBT.1) and learn about the reciprocal relationship of a place value and the place to its right (5.NBT.1). Students also extend their work from Grade 4 on multiplying whole numbers by 10 to multiplying and dividing them by powers of 10 (5.NBT.2). After extensive practice with whole numbers, students then divide by 10 repeatedly to extend their place value system in the other direction, to decimals. They then apply these rules and perform these operations with powers of 10 to decimal numbers. Lastly, after deepening their understanding of the base-ten structure of our place value system, students read, write, compare, and round numbers in various forms (5.NBT.3—4).

As mentioned earlier, students will look for and make use of structure throughout the unit (MP.7). Students will also have an opportunity to look for and express regularity in repeated reasoning (MP.8), such as “when students explain patterns in the number of zeros of the product when multiplying a number by powers of 10 (5.NBT.2)” (PARCC Model Content Frameworks, p. 24).

This content represents the culmination of many years’ worth of work to deeply understand the structure of our place value system, starting all the way back in Kindergarten with the understanding of teen numbers as “10 ones and some ones” (K.NBT.1). Moving forward, students will rely on this knowledge later in the Grade 5 year to multiply and divide whole numbers (5.NBT.5—6) and perform all four operations with decimals (5.NBT.7). Students will also use their introduction to exponents to evaluate more complex expressions involving them (6.EE.1). Perhaps the most obvious future grade-level connection exists in Grade 8, when students will represent very large and very small numbers using scientific notation and perform operations on numbers written in scientific notation (8.EE.3—4). Thus, this unit represents an important conclusion to the underlying structure of our number system and opens the door to more complex mathematics with very large and very small numbers.

This series of slides uses pictures of base ten blocks to represent numbers from the millions place value to those in the thousandths place value. Each slide changes the value of the base ten blocks by stating the value of either a unit, rod, flat, or large cube. Students are challenged to determine value of a representation or to create a given representation.

This video is part of the Learn and Grow with WHRO TV series. Watch Meghan Dmytriw teach about rounding.

This video is part of the Learn and Grow with WHRO TV series. Watch Meghan Dmytriw teach about comparing numbers up to four digits.

This video is part of the Learn and Grow with WHRO TV series. Watch Xenia Clare teach about ordering and comparing whole numbers.

This video is part of the Continue to Know with WHRO TV series. Watch Kyle Snyder teach about ordering whole numbers.