Unit 3

Place Value, Counting, and Comparison of Numbers to 1,000

Math

Description: All arithmetic algorithms are manipulations of place value units: ones, tens, hundreds, etc. In Unit 3, students extend and apply their understanding of place value to read and write numbers to 1000 using base-ten numerals, number names, and expanded form. Students will compare numbers to 1000 by using <, >, and = to record the results of comparisons.

Louisiana Student Standards for Mathematics (LSSM)

 Major Cluster: NBT – Number and Operation in Base Ten Understand place value. 2.NBT.1 Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: a. 100 can be thought of as a bundle of ten tens – called a “hundred.” b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones). 2.NBT.2 Count within 1000; skip-count by 5s, 10s and 100s. 2.NBT.3 Read and write numbers to 1000 using base-ten numerals, number names, and expanded form. 2.NBT.4 Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

Enduring Understandings:

·         Place value is based on groups of ten.

·         Place value allows us to use 10 digits to express numbers up to and beyond 1000; the location of a digit in a number determines its value.

·         The value of a digit depends upon its place in a number.

·         Numbers can be represented in many ways, such as with base ten blocks, words, pictures, number lines, and expanded form.

·         Place value determines which numbers are larger or smaller than other numbers.

Essential Questions:

·         How does the position of a digit in a number effect its value?

·         Why do numbers have place value?

·         How can numbers be expressed, ordered and compared?

·         Why should we understand place value?

·         What is the difference between place and value?

·         How does place value help us solve problems?

·         How does the value of a digit change when its position in a number changes?

·         What does “0” represent in a number?