NOTE: While we recognize that a large community of educators continues to access these materials and use them to support students success in secondary mathematics, New Visions is currently unable to revise and update the math curriculum materials on this site.
At New Visions for Public Schools, we believe that Illustrative Mathematics (IM) offers the most accessible, high-quality, vertically-aligned curriculum available for high school math. Since IM is also part of the Core Curriculum for NYC Public Schools, we are transitioning the focus of our math professional learning and coaching on the adoption and implementation of IM. For more information go to Using IM Algebra 1.
Algebra I has two key ideas that are threads throughout the course. The first idea is that we can construct representations of relationships between two sets of quantities and that these representations, which we call functions, have common traits. The second idea is that we can use these relationships between the quantities, which we call variables, to use our knowledge of the value of one variable to predict or determine explicitly the value of the other variable. In our formulation of the course, the first Big Idea is intended to inform students’ ability to use the second Big Idea.
It should be noted that there is a critical important prerequisite idea, which is our abstraction from the idea of a specific set of quantities into a variable reference to these quantities. While this is an expected outcome of the middle school Common Core standards, this key idea is one that many high school students still do not completely understand.
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Here are a few useful resources that support the Algebra I course. Please visit the resource search page to find more!
Algebra I Test & Quiz Generator
Quiz Banker creates student-ready editable quiz and answer documents based on an item bank of over 2500 state exam questions.
Resource:
Algebra I Test & Quiz Generator
Quiz Banker creates student-ready editable quiz and answer documents based on an item bank of over 2500 state exam questions.
Quiz Banker supports New York State secondary teachers in generating quizzes based on past Regents exam items. By drawing on bank of items in Google Docs, this Quiz Banker allows teachers more time for the critical tasks of identifying and analyzing student learning needs and planning responsive day-to-day lessons. Teachers can sort and filter questions by Common Core domain, cluster, and standard to make it easier to understand what the Common Core standards mean. Each question is also aligned to New Visions’ free and open source curriculum, making it even easier for teachers to plan in response to evidence of learning. At present the tool current has items for 3 New York State secondary math courses and 2 New York State secondary science courses.
Teacher Feedback
Please comment below with questions, feedback, suggestions, or descriptions of your experience using this resource with students.
Common Errors in Algebra
This is a description of common understandings and misunderstandings students have in Algebra. This could be a useful read for Algebra teachers before planning a unit.
Resource:
Common Errors in Algebra
This is a description of common understandings and misunderstandings students have in Algebra. This could be a useful read for Algebra teachers before planning a unit.
Teacher Feedback
Please comment below with questions, feedback, suggestions, or descriptions of your experience using this resource with students.
Common Errors in Middle School Math
This is a comprehensive list of errors students make while doing middle school math. This is probably a useful read for middle school and Algebra I teachers as they prepare to teach for the year.
Resource:
Common Errors in Middle School Math
This is a comprehensive list of errors students make while doing middle school math. This is probably a useful read for middle school and Algebra I teachers as they prepare to teach for the year.
Teacher Feedback
Please comment below with questions, feedback, suggestions, or descriptions of your experience using this resource with students.