Primary Standards:
MAFS.4.NBT.1.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷70 = 10 by applying concepts of place value and division.
MAFS.4.NBT.1.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
MAFS.4.NBT.1.3: Use place value understanding to round multi-digit whole numbers to any place.
Content Knowledge:
Our number system is a base-ten system, students explore the place value system with greater complexity each year. 4th grade students will recognize that the value of each digit in a multi-digit number depends on the place in which it appears. In this Unit, students will also explore the relationship between the value of digits in different places and find that a digit represents a value ten times greater than that same digit would have in the place directly to its right. (e.g. in 48,772 the 7 in the hundreds place has a value 10 times the 7 in the tens place, 70 × 10 = 700)
4th graders will also realize that numbers are arranged into groups of three place values called periods, and learn to read the three digits as they would any three-digit number and then add the name of the period (e.g. 172 can be read one hundred seventy-two, so 172,000 can be read one hundred seventy two thousand). They will apply their place value knowledge to represent numbers in different ways including standard form, expanded form, and word form. Students will apply their place value understanding to compare multi-digit numbers, using comparison symbols (<, =, >). They will also continue their exploration of rounding multi-digit numbers, now rounding to any place, including using line diagrams to model midpoints, benchmark numbers, and to visualize the comparison process.
GCG 1 – Learning Goal: As a mathematician, I will be able to read and write numbers through 1,000,000 in various forms MAFS.4.NBT.1.2
- Step 1: Identify and explain the place value periods/families in numbers through 1,000,000
- Step 2: Read and write number names through 1,000,000
- Step 3: Write numbers through 1,000,000 in various forms
GCG 2 – Learning Goal: As a mathematician, I will be able to explain the pattern of a digit’s value as it increases by multiples of ten MAFS.4.NBT.1.1
- Step 1: Use models and patterns to demonstrate increases in values when multiplying by 10
- Step 2: Reason about what is happening to the value of a digit when moving one place to the left
GCG 3 – Learning Goal: As a mathematician, I will be able to compare multi-digit numbers MAFS.4.NBT.1.2
- Step 1: Use place value understanding to compare two multi-digit numbers (using <, >, and = symbols)
- Step 2: Create the greatest or least possible number given a set of digits
GCG 4 – Learning Goal: As a mathematician, I will be able to use strategies to round multi-digit numbers MAFS.4.NBT.1.3