Learning Progression with Modeling – Creating Equations

This is a learning progression with modeling that is aligned to the Common Core and a textbook. The learning progression addresses the domain “Creating Equations.” It contains 4 standards. The learning progression has activities and benchmark assessments for each standard. In addition, there is a modeling activity for two of the standards. A lesson plan is attached for this modeling activity for an even better example.

Modeling Learning Progression2

LessonPlanForModelingLP1

Learning Progression “Circles”

This is a learning progression aligned to the Common Core State Standards Math. The domain is “Circles G-C.” There are a total of 4 standards in this cluster. The learning progression contains example activities and benchmark assessments for each standard, and they are aligned with the Common Core as well as the textbook indicated in the document. In addition, a lesson plan is attached for one of the activities for you to further see what an example might look like.

Learning Progression

Learning Progression LP

Using iPad to Teach Long Division

In today’s classroom, every student from Kindergarten on knows what an iPad is and how to work it to some degree. Incorporating the use of iPads, when available, can really enhance the learning environment. In addition to this, teachers can motivate their students to create a personal need to achieve the learning outcome, because students will not actually realize they are actively learning, but rather just playing games. Using an iPad is fun! Students will want to keep using it for as long as possible. This is practice, and practice leads to the outcome being learned.

featured_2An example of incorporating the use of iPads into the classroom is using the app called “Long Division Touch – Classroom Edition.” This app will help you   teach the math standards:

CCSS.Math.Content.6.NS.B.2 Fluently divide multi-digit numbers using the standard algorithm.

CCSS.Math.Content.6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

The app contains an introduction, which explains to the student how to use the app. They must go through the motions with the app to complete it. In addition, the app contains five “lessons,” which include “Zero Up Top,” “Remainders,” “Decimals,” “Repeating Decimals,” and “Decimal in Divisor.” Each of these lessons contains an “Explain” button that will show the student how to solve the problem using the standard algorithm. They also have a “Practice” button, which gives the student random problems to practice.

The app also allows for teachers to create “Activities,” which are assignments that the student must complete. In this section, the teacher can name the activity or assignment, choose the total number of problems and what kinds of problems from seven categories. These include one digit divisor, zeroes in answer, decimals, decimal in divisor, two-digit divisor, remainders, and repeating decimals. A great thing about this is that a teacher is not limited to just one category, but can choose as many of the seven categories as desired to complement the class.xlarge

You might be asking yourself how can I actually see that each student is completing the activity/assignment that I made without physically monitoring each and every student in the class? Well this is an easy solution! This app also has the feature of Kodiak reporting. Kodiak reporting is a free educational tool that lets teachers monitor their students’ progress and usage on educational apps. Kodiak can be accessed anywhere with an Internet connection, and the work that students do on the “Long Division Touch” app will automatically be sent to Kodiak. Another great feature of Kodiak is the “Dashboard,” which allows the teacher to see every iPad screen in the classroom from his/her own device. This makes it easy to monitor every student as they work from the app, which gives you the added bonus of being able to see who is struggling so that you can offer help.

The app is available through the App Store and is only available for the iPad. Unfortunately there is a cost for this particular app – $1.99. However, there is in fact a free version of the app but the practice problems given are very limited and Kodiak reporting is not a feature. I suggest purchasing the app if possible in order to provide each student with adequate practice to achieve the learning outcome and allow you to monitor progress.