This lesson unit is intended to help teachers assess how well students are able to solve a real-world modeling problem. There are several correct approaches to the problem, including some that involve proportional relationships.

Algebra students need practice determining equations of lines given a pair of points, or the line parallel or perpendicular to a given line through a given point. This Demonstration, along with guiding worksheets or a teacher presentation, gives students a chance to see the relationships between these lines and points.

This lesson unit is intended to help teachers assess how well students are able to identify and use geometrical knowledge to solve a problem. In particular, this unit aims to identify and help students who have difficulty in: making a mathematical model of a geometrical situation; drawing diagrams to help with solving a problem; identifying similar triangles and using their properties to solve problems; and tracking and reviewing strategic decisions when problem-solving.

This lesson unit is intended to help teachers assess how well students are able to: solve linear equations in one variable with rational number coefficients; collect like terms; expand expressions using the distributive property; and categorize linear equations in one variable as having one, none, or infinitely many solutions. It also aims to encourage discussion on some common misconceptions about algebra.

This lesson unit is intended to help teachers assess how well students are able to formulate and solve problems using algebra and, in particular, to identify and help students who have the following difficulties: solving a problem using two linear equations with two variables; and interpreting the meaning of algebraic expressions.

This lesson unit is intended to help teachers assess how well students are able to solve quadratics in one variable. In particular, the lesson will help teachers identify and help students who have the following difficulties: making sense of a real life situation and deciding on the math to apply to the problem; solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring; and interpreting results in the context of a real life situation.

This lesson unit is intended to help teachers assess how well students are able to: interpret a situation and represent the variables mathematically; select appropriate mathematical methods to use; explore the effects of systematically varying the constraints; interpret and evaluate the data generated and identify the break-even point, checking it for confirmation; and communicate their reasoning clearly.

This lesson unit is intended to help teachers assess how well students are able to: recognize the differences between equations and identities; substitute numbers into algebraic statements in order to test their validity in special cases; resist common errors when manipulating expressions such as 2(x Đ 3) = 2x Đ 3; (x + 3)_ = x_ + 3_; and carry out correct algebraic manipulations. It also aims to encourage discussion on some common misconceptions about algebra.

This lesson unit is intended to help teachers assess how well students are able to: form and solve linear equations involving factorizing and using the distributive law. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using variables to represent quantities in a real-world or mathematical problem and solving word problems leading to equations of the form px + q = r and p(x + q) = r.

Even among educators who have been successful at educating ELLs under traditional supports and programs, the level of knowledge required to do the job successfully has increased. This paper considers more aggressive and creative capacity-building initiatives that strengthen and integrate the disciplinary teaching strategies with literacy and language development strategies. The authors discuss the value and implications of new partnerships, of structures for collaboration, and of time dedicated to engaging experts from different fields in the design and delivery of teacher preparation and professional development.

Jen Saul combines think time, partner discussions, and an emphasis on students' personal strategies to build confidence through mental math. Students use and discuss the strategies of "decomposing," "splitting," and "jumps of ten."

Educators identify a standard, deconstruct its elements, and share understanding with other educators. They then suggest a design for instruction and create a educational resource to support the teaching and learning of the standard.

This lesson unit is intended to help you assess how well students are able to: recognize and use common 2D representations of 3D objects and identify and use the appropriate formula for finding the circumference of a circle.

This lesson unit is intended to help teachers assess how well students are able to understand and use directed numbers in context. It is intended to help identify and aid students who have difficulties in ordering, comparing, adding, and subtracting positive and negative integers. Particular attention is paid to the use of negative numbers on number lines to explore the structures: starting temperature + change in temperature = final temperature final temperature Đ change in temperature = starting temperature final temperature Đ starting temperature = change in temperature.

Ms. Whicker uses similar figures, 3D views and cross-sectional views to have her students construct figures using manipulatives.

This paper addresses the implications, for ELLs, of the new standard's requirement that students be able to read and understand complex, informationally dense texts. The authors discuss the types of supports that learners need in order to work with complex texts. They also provide a sample of what academic discourse involves, using an excerpt from Martin Luther King, Jr.'s Letter from Birmingham Jail. They demonstrate how English learners can be provided with strategies for accessing complex texts, such as closely examining one sentence at a time. The authors argue that instruction must go beyond vocabulary and should begin with an examination of our beliefs about language, literacy and learning.

The wraparound learning experience is demonstrated by Sandi Silbernagel as she teaches her students about Cajun Tall Tales. Instructional expert Jim Knight discusses strategies and activities that can affect learning outcomes.