Grade 4: Common Core Standards for Mathematical Practice 5-8 (#282)


A Year in the Life: Ambient Math Wins the Race to the Top!
Day 282

For one year, 365 days, this blog will address the Common Core Standards from the perspective of creating an alternate, ambient learning environment for math. Ambient is defined as “existing or present on all sides, an all-encompassing atmosphere.”

And ambient music is defined as: “Quiet and relaxing with melodies that repeat many times. Why ambient? A math teaching style that’s whole and all encompassing, with themes that repeat many times through the years, is most likely to be effective and successful.

The CCSS Standards for Mathematical Practice are meant to be used throughout the year, applied to all lessons and skills practices. The wording is pretty dense and unapproachable, certainly not child friendly and possibly not even teacher friendly. There have been attempts at translation, but the examples I’ve seen still tend to be somewhat dry. Well, I guess I’ve temporarily run out of steam here. You’ll find the CCSS standards listed in blue below, but not followed by their ambient counterparts, not today.

I came across an article called Common Core and the Death of Reading. Many of the points listed are similar to what I’m experiencing now. Here’s an excerpt that I found to be most compelling: “The Common Core approach to reading is like breaking a molecule down into individual elements. But as any science teacher can explain, once you break the molecular bonds that tie the atoms together, you lose all the properties of the original chemical. You now have hydrogen and oxygen, but you no longer have water. In Common Core students may learn skills, but they do not learn to love reading or to really understand sophisticated written material.”

I must echo this: in Common Core students may learn skills, but they do not learn to love math or to really understand its sophisticated, complicated beauty. Read the article here, and please allow me to simply say that true math is more than disjointed Common Core parts, along with endless testing to make sure that all parts are present and accounted for, but always sans math’s amazing, indomitable spirit. Here are the standards, along with the picture from the article that today expresses my sentiments, exactly.

5. Use appropriate tools strategically.
Mathematically proficient fourth graders consider the available tools (including estimation) when solving a mathematical problem and decide when certain tools might be helpful.  For instance, they may use graph paper or a number line to represent and compare decimals and protractors to measure angles.  They use other measurement tools to understand the relative size of units within a system and express measurements given in larger units in terms of smaller units. 

6. Attend to precision.
As fourth graders develop their mathematical communication skills, they try to use clear and precise language in their discussions with others and in their own reasoning.  They are careful about specifying units of measure and state the meaning of the symbols they choose.  For instance, they use appropriate labels when creating a line plot..

7. Look for and make use of structure.
In fourth grade, mathematically proficient students look closely to discover a pattern or structure.  For instance, students use properties of operations to explain calculations (partial products model).  They relate representations of counting problems such as tree diagrams and arrays to the multiplication principal of counting.  They generate number of shape patterns that follow a given rule.

8. Look for and express regularity in repeated reasoning.
Students in fourth grade should notice repetitive actions in computation to make generalizations.  Students use models to explain calculations and understand how algorithms work.  They also use models to examine patterns and generate their own algorithms.  For example, students use visual fraction models to write equivalent fractions.


Jelani Guzman

Knowledge ensues in an environment dedicated to imaginative, creative knowing, where student and teacher alike surrender to the ensuing of knowledge as a worthy goal. Tune in tomorrow as we launch into Grade 4 Common Core Language Arts standards and their ambient counterparts.


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