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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.

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.

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.

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.

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.

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.

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.

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

• Understand conditional probability.
• Represent events as a subset of a sample space using tables and tree diagrams.
• Communicate their reasoning clearly.

This lesson unit is intended to help you assess how well students understand conditional probability and, in particular, to help you identify and assist students who have the following difficulties:

• Representing events as a subset of a sample space using tables and tree diagrams.
• Understanding when conditional probabilities are equal for particular and general situations.

In particular, the lesson will help you identify and help students who have difficulty:

• Solving problems by determining the lengths of the sides in right triangles.
• Finding the measurements of shapes by decomposing complex shapes into simpler ones.

The lesson unit will also help students to recognize that there may be different approaches to geometrical problems and to understand the relative strengths and weaknesses of those approaches.

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

• Describe in words the transformation that maps an object to a transformed image.
• Given a geometric figure and a rotation, reflection or translation, draw the transformed figure (or the original figure if the image is given.)
• Describe transformations as algebraic functions that take points in the plane as inputs and give other points as outputs.