Mrs. Ami Hawkins' Professional Portfolio

Teaching Math

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         In teaching Math we gained experience in presenting Math lessons in several different ways so that different learners have a better chance to learn the concepts taught. We learned how to present math lessons to students of all grades, ages, and skill levels. There is more than one way to break an egg. The same is true with solving math problems. In this class we worked on scaffolding and differentiating instruction so that the same concept was taught many different ways. This was helpful because we learned how to reach all students from struggling, to advanced, to disinterested students. We worked with manipulative and used creative hands on activities to present abstract information in a tangible form. We familiarized ourselves with Geometers Sketch Pad. And, we had the opportunity to work with and teach children of different ages new concepts and how to do math in different ways.

        In addition to presenting lessons we also gained some excellent resources. We spent a lot of time finding the NM standards and benchmarks for all of the lessons available on the illuminations web site. This is a fantastic site that has more than 549 math lessons available, along with new, fun ideas to teach concepts and make learning math fun and easy.  

To get to the Illuminations site.....

click here

The Illuminations site is not the only resource that we were given in math, but it is by far the most helpful and we spent a large amount of our time exploring and familiarizing ourselves with it.  Below is an example of some lesson notes we created for this site so that we could add it to our resource folders. We did this for every single lesson that is on the site.

Illuminations grade 6-8 

 

Name of lesson and web address

Benchmarks 

Barbie Bungee

 

http://illuminations.nctm.org/LessonDetail.aspx?id=L646

Algebra 6-8 

1.        Use graphs to analyze the nature of changes in quantities in linear relationships. NM- 8.a.1.1, 8.a.1.2, 8.a.2.5, 8.a.2.6, 8.a.3.1, 8.a.4.1, 8.a.4.2, 8.a.4.3, 8.a.4.6.

2.        Explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope.  NM-6.A.1.2, 2.4, 3.1, 3.2, 4.4, 7.A.1.2, 1.5, 2.5, 2.6, 3.2, 4.3.

Data Analysis & Probability 6-8

1.        Select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots. NM- 6.D.1.2, 1.4, 1.10, 2.1, 2.8, 3.2, 7.D.1.1, 1.2, 1.6, 1.7, 1.13, 2.2, 3.2, 3.3, 8.D.1.2, 1.3, 2.3, 2.4, 2.8.

2.        Make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit. NM- S.1.2, 1.6, 1.7, 2.4, 2.5, 7.D.1.1, 1.8, 1.9, 2.2, 2.3, 2.5, 2.6, 3.1, 3.3, 8.D. 2.8, 4.3.

 

Building A Box http://illuminations.nctm.org/LessonDetail.aspx?id=L570

Geometry 6-8

1.        Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties. NM-6.G.1.1, 1.3, 4.1, 7.G.1.5, 4.2, 8.G.1.1, 3.1, 4.3, 4.4, 4.5.

2.        Use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area and volume. NM-6.G.1.1, 4.1, 7.G.3.1, 4.1, 8.G.3.1, 4.3, 4.5.

Constant Dimens-ions

http://illuminations.nctm.org/LessonDetail.aspx?id=L572

Algebra 6-8

1.        Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules. NM-6.A.1.5, 3.2, 7.A.1.1, 1.2, 8.A.1.2, 4.1, 4.5, 4.6, 4.7.

2.        Explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope.  NM-6.A.1.2, 2.4, 3.1, 3.2, 4.4, 7.A.1.2, 1.5, 2.5, 2.6, 3.2, 4.3.

3.        Use graphs to analyze the nature of changes in quantities in linear relationships. NM- 8.a.1.1, 8.a.1.2, 8.a.2.5, 8.a.2.6, 8.a.3.1, 8.a.4.1, 8.a.4.2, 8.a.4.3, 8.a.4.6.

Measurement 6-8

1.        Use common benchmarks to select appropriate methods for estimating measurements. NM- 6.M.1.2, 1.3, 1.4, 2.3, 2.4, 7.M.1.1, 1.2, 8.M.2.2.

2.        Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision. 6.M.2.1, 2.2, 2.3, 2.4, 7.M.1.2, 2.1, 8.M.1.1, 2.1.