algebra and functions

This lesson unit is intended to help you 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
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This lesson unit is intended to help you assess how well students are able to solve quadratics in one variable. In particular, the lesson will help you identify and help students who have the following difficulties:

• Making sense of a real life situation and deciding on the math to
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This lesson unit is intended to help you 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.
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This lesson unit is intended to help you assess how well students are able to:

• Model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions.
• Interpret the constants a, b, c in the formula h = a + b cos ct
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This lesson unit is intended to help you assess how well students are able to understand what the different algebraic forms of a quadratic function reveal about the properties of its graphical representation. In particular, the lesson will help you identify and help students who have the...

This lesson unit is intended to help you assess how well students are able to translate between graphs and algebraic representations of polynomials. In particular, this unit aims to help you identify and assist students who have difficulties:

• Recognizing the connection between the
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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, tabular, and graphical
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This lesson unit is intended to help you assess how well students are able to use linear inequalities to create a set of solutions. In particular, the lesson will help you identify and assist students who have difficulties in:

• Representing a constraint by shading the correct side of
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This lesson unit is intended to help you assess how well students are able to:

• Articulate verbally the relationships between variables arising in everyday contexts.
• Translate between everyday situations and sketch graphs of relationships between variables.
• Interpret
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This lesson unit is intended to help you assess how well students are able to:

• Interpret a situation and represent the constraints and variables mathematically.
• Select appropriate mathematical methods to use.
• Explore the effects of systematically varying the
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This lesson unit is intended to help you assess how well students are able to translate between words, symbols, tables, and area representations of algebraic expressions. It will help you to identify and support students who have difficulty:

• Recognizing the order of algebraic
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This lesson unit is intended to help you assess how well students are able to manipulate and calculate with polynomials. In particular, it aims to identify and help students who have difficulties in:

• Switching between visual and algebraic representations of polynomial expressions.
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This lesson unit is intended to help you assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types needed for a range of square tabletops. In particular, this unit aims to identify and help students who have...

This lesson unit is intended to help you assess how well students understand the relationship between the slopes of parallel and perpendicular lines and in particular, to help identify students who find it difficult to:

• Find, from their equations, lines that are parallel and
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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
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This lesson unit is intended to help you 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.
• Categorize linear equations in
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This lesson unit is intended to help you assess how well students use algebra to:

• Explore relationships between variables in everyday situations.
• Find unknown values from known values.
• Find relationships between pairs of unknowns and express these as tables and
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This lesson unit is intended to help you assess how well students are able to interpret distance–time graphs and, in particular, to help you identify students who:

• Interpret distance–time graphs as if they are pictures of situations rather than abstract representations of them.
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This lesson unit is intended to help you assess how well students working with square numbers are able to:

• Choose an appropriate, systematic way to collect and organize data, examining the data for patterns.
• Describe and explain findings clearly and effectively.
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This lesson unit is intended to help you 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
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