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Analyzing Congruency Proofs

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Analyzing Congruency Proofs

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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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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Calculating Arcs and Areas of Sectors of Circles

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Calculating Arcs and Areas of Sectors of Circles

This lesson unit is intended to help you assess how well students are able to solve problems involving area and arc length of a sector of a circle using radians. It assumes familiarity with radians and should not be treated as an introduction to the topic. This lesson is intended to help you identify and assist students who have difficulties in:

  • Computing perimeters, areas, and arc lengths of sectors using formulas.
  • Finding the relationships between arc lengths, and areas of sectors after scaling.
Calculating Volumes of Compound Objects

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Calculating Volumes of Compound Objects

This lesson unit is intended to help you assess how well students solve problems involving measurement and in particular, to identify and help students who have difficulty:
Computing measurements using formulas.
Decomposing compound shapes into simpler ones.
Using right triangles and their properties to solve real-world problems.

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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.

Comparing Investments

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Comparing Investments

This lesson unit is intended to help you assess how well students are able to interpret exponential and linear functions and in particular to identify and help students who have the following difficulties:

* Translating between descriptive, algebraic and tabular data, and graphical representation of the functions.
* Recognizing how, and why, a quantity changes per unit interval.

To achieve these goals students work on simple and compound interest problems.

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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 Enlargements (2D & 3D)

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Evaluating Statements about Enlargements (2D & 3D)

This lesson unit is intended to help you assess how well students are able to solve problems involving area and volume, and in particular, to help you identify and assist students who have difficulties with:

  • Computing perimeters, areas, and volumes using formulas.
  • Finding the relationships between perimeters, areas, and volumes of shapes after scaling.
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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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Ferris Wheel

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Ferris Wheel

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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