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➗ Math Enrichment Packets ➗

Weekly Assignment Schedule

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📥 Download Topic 6 Family Letter (PDF)

📘 Topic 6: Place Value — Numbers to 10,000

Overview

Topic 6 focuses on building an understanding of place value as your child works with 4-digit numbers. There is an emphasis on thinking flexibly about numbers so that they can be broken apart and combined in different ways. This ability to think flexibly will help your child with later mathematical work, especially computation.

Numbers in the Thousands

Your child will learn to read and write numbers from 0 to 10,000 using standard form, expanded form, and word form.

Word form: one thousand, three hundred fifty
Standard form: 1,350
Expanded form: 1,000 + 300 + 50

Compose and Decompose Numbers

Your child will combine and break apart place-value blocks to show the same number in different ways — for example, showing 2,931 by breaking 1 thousand into 10 hundreds, or breaking 1 ten into 10 ones.

Plot, Order, and Compare Numbers

Using understanding of place value, your child will plot numbers on a number line to compare them. A key concept is that to compare numbers, you start at the place farthest left and move right to the place where the digits differ, then compare the values of those digits.

3,482 > 3,456 > 3,395
3,482 is greater than 3,456 because 8 tens are greater than 5 tens.

Round to the Nearest Ten or Hundred

Your child will learn that to round to the nearest ten or hundred, find the closest multiple of ten or one hundred for a given number. A number line is a helpful tool for rounding. If a number is exactly halfway between the numbers being rounded to, round to the greater number.

394 rounds to 390 (nearest ten)
350 rounds to 400 (nearest hundred — halfway rounds up)

Connect the Math at Home

Look for numbers in the thousands in your daily activities with your child. If you can't find numbers around you, create 4-digit numbers using a deck of playing cards. Have your child read the number, then "play" with it — compare it to another number, break it apart, or round it to the nearest ten or hundred. Try asking:

  • "Which is greater: 3,950 or 3,860?"
  • "How could you show 3,950 with only two thousands?" (2 thousands, 19 hundreds, 5 tens)
  • "What is 3,950 rounded to the nearest hundred?"

Topic 6 Lessons

  • 6-1Read and Write Numbers in the Thousands
  • 6-2Place-Value Relationships
  • 6-3Plot, Order, and Compare Numbers
  • 6-4Round Whole Numbers to the Nearest 10 or 100
  • 6-5Math Thinking and Reasoning: Use Patterns and Structure to Make Connections

📅 Homework

Homework for this week is STAR from Ms. Feinberg