What is expanded notation??? Then what is expanded form?...
Every year I encounter confusion when it comes to collaboratively planning lessons for TEKS 4.2B- the Place Value TEKS. It specifically says “expanded notation” in the TEKS, but when you begin looking at resources to help the students practice and learn, you’ll notice that expanded notation seems to look two very different ways!
When you get technical about the two different options, you’ll notice that the two forms are very much related. Expanded Notation is the more complete, formal form. It offers up a more concrete depiction of what is happening as we expand the number into the values of the digits that make up the number. It shows the digit multiplied by the place value that the digit represents.
Expanded form cuts out the middle man, so to speak. Instead of showing the digit, it just shows the value of the digit. It shows the digit already multiplied by the place value. No parenthesis, no multiplication signs- a quicker way to expand.
When I’m teaching expanded notation, I always teach the formal version first. By using the longer method, the students gain a better understanding of the quicker method. But remember, both methods deserve the attention needed to help kids internalize the representation.
Click here for a digital resource you can use during whole group or small group instruction to help your students start building a deep understanding of expanded notation. You can show the Google Slides on your projector and work together to represent the value of each digit found in the number. Afterward, on scratch paper or on dry erase boards, have students write the expanded version of the number. You can type a new number over and over. Start with simpler numbers and work up to difficult ones that include decimals and lots of zeros. Be sure and use small digits so you don't waste time dragging too many value cards onto the work space. I suggest using digits that are 5 or below!
Here is an example of the work space found on the free digital download. Notice how each digit now has cards representing the place value of each digit.
Have the students first represent the number in expanded notation.
The first digit, 3, is in the 1,000s place. Since there are three 1,000 cards, that portion of the expanded notation will be (3x1,000). The next digit, 2, is in the hundreds place. Since there are two 100 cards, that portion of the expanded notation will be (2x100). So far we have (3X1,000)+(2x100). Continue this way until all of the digits have been considered. In the end you have (3x1,000)+(2x100)+(4x10)+(5x1)+(2x.01). Once this part is completed, it's easy to recognize the expanded form. Just replace the parenthesis with the answer to the multiplication problem. Expanded form is just a shortcut of expanded notation.
Check out these tutorial videos! They are designed to accompany my Lotsa Math Spiraled Math Program, but they can be used in any way that will help your students!
Math Kit TEKS 4.2B - Place Value, Number Forms, Introduction to Decimals
Imagine a classroom where the learning is owned by the students, data from purposeful assessment drives the instruction,and activities are meaningful and fun! This is the classroom every teacher wants, but let’s face- who has the time to gather the materials, create the activities, differentiate the instruction, and TEACH?
That’s where we come into help! Check out how this product can help you build student success without the stress! QUICK, EASY, & COMPREHENSIVE
TEKS 4.2(B) goes deep and wide and is one of the most foundational set of skills that fourth graders in Texas will encounter. These activities will help build understanding of number forms, including expanded form, word form, and expanded notation. They will also introduce decimals into the students' undersatnding of our place value system. These easy to implement lesson ideas are great tools to add to your teaching arsenal when it comes to TEKS 4.2B.
➱ Student Resource Notebook pages
➱ Student Punchlist/ Data tracker / Reflection
➱ Exit Tickets
➱ 3 Practice Sheets
➱ Digital (Google Slides) Activity (and paper version of the same activity)
➱ Easy Prep Hands-on Activity
➱ Decimals Bingo Game
➱ Half page Task Cards
➱ I can statement
➱ Answer Keys
➱ Class Tracker
THIS PRODUCT IS CREATED BY EXPERIENCED FOURTH GRADE TEXAS TEACHERS!
Lotsa Math- Part 1
These 45 spiraled math worksheets provide your fourth grader lots of opportunity to learn and practice their math skills.
A little over five years ago, I discovered Pinterest. (Yes, a pivotal moment in life by which you later use to measure time- “this was before I knew about Pinterest…”) I was hanging out with my sister, a first grade teacher, and she was showing me her new classroom and the cutting-edge technologies that she was soon to be receiving. She wanted to show me a website she had discovered. I could see amazement in her eyes as she searched for anchor charts for various reading skills. Thus began my love affair with Pinterest.
Pinterest quickly became my largest catalyst for implementing new and exciting teaching strategies. Not surprisingly, the first time I was able to connect my understanding of how extensively multiples are intertwined with equivalent fractions happened while scrolling through pages of matches to my search “4th grade teaching ideas.” I saw a multiples chart being used to simplify fractions. MIND BLOWN! It became a fun strategy for me to show my students.
Yesterday I got tagged on Facebook by a former parent. I got a good laugh because I could totally picture my student in this situation! The last sentence of this comment inspired today’s blog post! I want to show the world this cool mathematical pattern, just in case they have somehow missed it on Pinterest.
↝ This strategy starts with filling out a multiples chart.
↝ Next, find your fraction on the multiples chart. The numerator and the denominator must be found within the same column.
↝ Now, keeping the numerator and denominator in the same column, slide them along the rows they are in. Every new column represents an equivalent fraction.
↝ When you slide to the right, you are creating equivalent fractions. When you slide to the left, you are creating equivalent fractions in a simpler form.
↝ To find the simplest form, you slide along the row as far to the left as possible.
Here’s a free digital activity that you can download to use with your students!
There are many different opinions surrounding homework. Should we give it, should we not give it, does it even make a difference? You can find research to support all sides if you go looking, but in the end, my school requires it, and I've found a way to make sure that the time we spend doing it is meaningful.
So, how do I ensure that my students' homework is beneficial?