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Building and Solving Complex Equations

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Building and Solving Complex Equations

This lesson unit is intended to help you assess how well students are able to create and solve linear and non-linear equations. In particular, the lesson will help identify and help students who have the following difficulties:

  • Solving equations where the unknown appears once or more than once.
  • Solving equations in more than one way.
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Choosing a Formative Assessment Lesson for Geometry, Unit 5
Resource:
Choosing a Formative Assessment Lesson for Geometry, Unit 5

This document supports teachers in choosing a formative assessment lesson for Unit 5 in Geometry.

Deducting Relationships - Floodlight Shadows

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Deducting Relationships - Floodlight Shadows

This lesson unit is intended to help you assess how well students are able to identify and use geometrical knowledge to solve a problem. In particular, it 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.
  • Tracking and reviewing strategic decisions when problem-solving.
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Devising a Measure - Correlation

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Devising a Measure - Correlation

This lesson unit is intended to help you assess how well students understand the notion of positive correlation. In particular this unit aims to identify and help students who have difficulty in:

  • Understanding correlation as the degree of fit between two variables.
  • Making a mathematical model of a situation.
  • Testing and improving the model.
  • Communicating their reasoning clearly.
  • Evaluating alternative models of the situation.
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Evaluating Statements About Length and Area

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Evaluating Statements About Length and Area

This lesson unit is intended to help you assess how well students can:

  • Understand the concepts of length and area.
  • Use the concept of area in proving why two areas are or are not equal.
  • Construct their own examples and counterexamples to help justify or refute conjectures.
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Evaluating Statements about Radicals

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Evaluating Statements about Radicals

This lesson unit is intended to help you assess how well students are able to:

  • Use the properties of exponents, including rational exponents and manipulate algebraic statements involving radicals.
  • Discriminate between equations and identities.

In this lesson there is also the (optional) opportunity to consider the role of the imaginary number.

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Forming Quadratics

Resource:
Forming Quadratics

A Classroom Challenge (aka formative assessment lesson) is a classroom-ready lesson that supports formative assessment. The lesson’s approach first allows students to demonstrate their prior understandings and abilities in employing the mathematical practices, and then involves students in resolving their own difficulties and misconceptions through structured discussion.

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Functions and Situations (Algebra I)

Resource:
Functions and Situations (Algebra I)

A Classroom Challenge (aka formative assessment lesson) is a classroom-ready lesson that supports formative assessment. The lesson’s approach first allows students to demonstrate their prior understandings and abilities in employing the mathematical practices, and then involves students in resolving their own difficulties and misconceptions through structured discussion.

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Generating Polynomials from Patterns

Resource:
Generating Polynomials from Patterns

This lesson unit is intended to help you assess how well students are able to manipulate and calculate with polynomials.

  • Switching between visual and algebraic representations of polynomial expressions.
  • Performing arithmetic operations on algebraic representations of polynomials, factorizing and expanding appropriately when it helps to make the operations easier.
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How to Enact a Formative Assessment Lesson

Regents Readiness
Resource: Formative Assessment Lessons
Resource:
How to Enact a Formative Assessment Lesson

This resource is intended to support teachers using the Classroom Challenges (formerly called Formative Assessment Lessons) from the Mathematics Assessment Project in their class. Classroom Challenges are intended to support teachers in understanding what students understand, and provide feedback to students on their own understanding.

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Lines and Linear Equations - Student Materials

Resource:
Lines and Linear Equations - Student Materials

A Formative Assessment Lesson (also known as a Classroom Challenge) is a carefully designed lesson that both supports teachers in understanding how students make sense of the unit's mathematics and offers students opportunities to revisit and deepen their understanding of that mathematics.

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Lines and Linear Equations - Teacher Materials

Algebra I Archive
A1 U2: Linear and Exponential Functions
Resource:
Lines and Linear Equations - Teacher Materials

A Classroom Challenge (aka formative assessment lesson) is a classroom-ready lesson that supports formative assessment. The lesson’s approach first allows students to demonstrate their prior understandings and abilities in employing the mathematical practices, and then involves students in resolving their own difficulties and misconceptions through structured discussion.

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