Standard+2

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**Standard 2** ** Teachers know how children grow. ** // The teacher understands how children with broad ranges of ability learn and provides instruction that supports their intellectual, social, and personal development. //


 * Evidence**: Graphing Calculator lab on Slope-Intercept Form

Investigation for students:


 * Rationale:** I developed an investigation using a graphing calculator for my Algebra class. In this investigation, students must use a graphing calculator to explore different parts of a linear equation. Students will be working with a partner to find two points from five different lines using the table on the calculator. From there, students are using their prior knowledge to find the slope between those two points. Every pair of students will be able to complete the investigation up to that point. Students will have an opportunity to make connections between the slope and the equation of the line. If they are able to make this connection on their own, it becomes more meaningful for them. This investigation was added into the curriculum to give students more ownership of this information and discover it on their own. This is the students’ first introduction to slope-intercept form.

I developed this investigation with a colleague of mine. We have worked together to create some self-discovery lessons for our classes. It is important for me as a teacher for students to make some connections with the mathematics and to find patterns on their own. An investigation like this allows me to monitor the students and help out where I am needed.


 * KSD**
 * 2.K.1 The teacher understands how learning occurs -- how students construct knowledge, acquire skills, and develop habits of mind – and how to use instructional strategies that promote student learning for a wide range of student abilities.**

Students see the connection between slope-intercept form and its’ graph to develop a better understanding. Students are creating a foundation for knowledge and will be able to recall it easier in the future.


 * 2.S.3 The teacher assesses students’ thinking and experiences as a basis for instructional activities (i.e., encouraging discussion, listening and responding to group interaction, and eliciting samples of student thinking orally and in writing).**

I am able to look at the responses to the investigation to know where future instruction needs to go. I am able to see how many students were able to make a connection and how many will need more guidance.


 * 2.D.1 The teacher appreciates individual variation at each developmental level and shows respect for the diverse talents of all learners, and is committed to help them develop self-confidence and competence.**

There are steps throughout the investigation that all students can find success and feel proud of their accomplishments. Students are given praise and feedback as they continue to achieve success at various levels.