 Secondary Mathematics II

Strand: ALGEBRA - Seeing Structure in Expression (A.SSE)

Interpret the structure of expressions (Standards A.SSE.1�2). Write expressions in equivalent forms to solve problems, balancing conceptual understanding and procedural fluency in work with equivalent expressions (Standard A.SSE.3).

Standard A.SSE.2

Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).

• A Cubic Identity
This Illustrative Mathematics task presents a challenging exercise in both algebraic manipulations and seeing structure in algebraic expressions.
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
• Adding and Subtracting Polynomials video
This video introduces and explains the topic.
• Adding and Subtracting Rational Expressions
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
• Adding and Subtracting Rational Expressions video
This video introduces and explains the topic.
• ALGEBRA - Seeing Structure in Expression (A.SSE) - Sec Math II Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for the Secondary Mathematics II - Seeing Structure in Expression (A.SSE)
• Animal Populations
This Illustrative Mathematics task students have to interpret expressions involving two variables in the context of a real world situation.
• Equivalent Expressions
This is a standard problem phrased in a non-standard way. Rather than asking students to perform an operation, expanding, it expects them to choose the operation for themselves in response to a question about structure.
• Introduction to the Materials (Math 2)
Introduction to the Materials in the Mathematics Two of the The MVP classroom experience begins by confronting students with an engaging task and then invites them to grapple with solving it. As students ideas emerge, take form, and are shared, the teacher orchestrates the student discussions and explorations towards a focused mathematical goal. As conjectures are made and explored, they evolve into mathematical concepts that the community of learners begins to embrace as effective strategies for analyzing and solving problems.
Math Task Overview: Students will analyze quadratic patterns related to the difference of squares and use patterns with the number line. They will then prove the general rule with a sequence of calculations that model inductive reasoning.
• Multiplying and Dividing Monomials
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
• Multiplying and Dividing Monomials video
This video introduces and explains the topic.
• Multiplying and Dividing Rational Expressions
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
• Multiplying and Dividing Rational Expressions video
This video introduces and explains the topic.
• Multiplying Polynomials
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
• Multiplying Polynomials video
This video introduces and explains the concept.
• Seeing Dots
The purpose of this Illustrative Mathematics task is to identify the structure in the two algebraic expressions by interpreting them in terms of a geometric context.
• Simplifying Expressions with Exponents
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
• Simplifying Expressions with Exponents video
This is a video introduction and explanation of the topic. http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Joleigh Honey and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer Throndsen .