-"First Impressions" about the standards:
My first impression when looking at the standards was that the wording was somewhat confusing to me. I feel like there was a lot of unnecessary wording. When looking at the standards I feel like they were missing important qualities and that the word usage was too much and not to the point. I also was surprised at what was expected from the children at each grade level. I feel like the standards have been raised quite a bit from what I remember learning in school.
-How do concepts progress through the grades?
The concepts progress through the grades by working as a building block method. What a student was to learn in kindergarten in geometry would be elaborated on more in first grade, second grade, and so on. In geometry in kindergarten students are learning how to identify shapes and in first grade they start being able to reason with the shapes. The higher the grade level goes the more intricate each part of the subject of math becomes.-How do concepts change and increase in rigor and complexity for the students?
As expected, as the grade gets higher so does the level of complexity and rigor involved for each grade level. Students learn their basic math skills in kindergarten and those same skills are built upon and added to throughout their years in school.
-Common Core and NCTM Standards:
- Does the common core standards align with what the NCTM states students should be able to know and do within the different grade level bands?
- When looking at the common core standards and the NCTM I would have to say that they align pretty well with each other. As stated on the module checklist a big difference visually would be that the NCTM is structured in grade level bands instead of individual grade levels. The common core standards seemed to be written in a little more detailed way but then again I do think (as I mentioned earlier) the common core can be to wordy.
- Give examples of which standards align as well as examples of what is missing from the Common Core but is emphasized in the NCTM standards and vice versa:
- In the NCTM students were to: Discuss events related to students’ experiences as likely or unlikely and using personal experience and the terms likely and unlikely is not something that I saw used in the Common Core.
- In first grade common core standards want the students to be able to sort data in up to three categories. In the NCTM it said that data should be sorted into categories but it does not give the number of categories students should be able to do.
- Common Core in Kindergarten says: "classify objects into given categories" and NCTM says: "sort and classify objects according to their attributes and organize data about the objects". These two seemed to align to me. I understand not word for word but I saw them as being pretty similar.
Curriculum Resources:
I chose to do: "Data Day: Standing Jumps and Arm Spans" for grade 2.
In this lesson children measure the length of a standing long jump in centimeters and the length of an arm span in inches.
-What mathematical ideas would you want your students to work through?
The mathematical idea I would want my students to work through would be:
- Comparing inches and centimeters
- Collecting data
- Compare numbers and record data
- Measuring distances and lengths to the nearest inch or centimeter
To bring the mathematical ideas out during this lesson I would need to make sure:
- Students knew what inches and centimeters were
- Students knew how to measure both inches and centimeters
- Students knew how to collect data
- Make data collection fun for them (such as measuring arm spans)
- Students understood the numbers that they were comparing
- Students knew how to round numbers to the nearest inch or centimeter
- A way to make this lesson more accessible or easier for the students would be to let them write down the exact number that their distances was instead of having the students to round their numbers to the nearest centimeter or inch.
- A way to make this lesson more challenging for the students would be to have students to find 3 objects in the classroom that are closely related to the distances that they have recorded in their journals.
- Do you think your line judge is judging fair?
- Who has the longest distances on arm span?
- Why do we use inches for arm span instead of centimeters?
- Which form of measurement would we use when judging how wide the classroom is?
In listening to the students and observing them it allows for the teacher to know if the students understand how to use centimeters and inches as well as to know if they are able to collect, analyze, and compare data.
-How do the concepts taught in this lesson align to the common core?
The common core in grade 2 says that students will "generate measurement data by measuring lengths of several objects to the nearest whole number..." which is what is going on in this in this lesson. This activity in my opinion aligns very well with this standard from the Common Core.
Box Plots:
-Three Questions to ask the class:
1. Which class has the highest number of trash collected by only one student?
Our class because our highest outlier is past 110 and theirs is just past 90.

2. Which class appears to have collected the most trash? How did you get your answer?
Our class seems to have collected the most trash because the median of our class is higher than the German class and the majority the majority of our data falls past 70 where theirs stops beside for the outlying number.
3. Do you believe that this data collection is fair being that the German class is based off of 42 students and ours is based off of 18?
(This would be an opinion question but I am going to give my answer)
I do not believe this study could be considered completely accurate because there is such a drastic difference in the number of students used in each set. If the number of students in our class was around 30-42 I would think that we could get a better understanding from this study.



















