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; interpret and evaluate the data generated; and communicate their reasoning clearly.

# Search Results (67)

This lesson unit is intended to help teachers assess whether students are able to: identify when two quantities vary in direct proportion to each other; distinguish between direct proportion and other functional relationships; and solve proportionality problems using efficient methods.

- Subject:
- Ratios and Proportions
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help you assess how well students use algebra in context, and in particular, how well students: 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 graphs; and find general relationships between several variables, and express these in different ways by rearranging formulae.

- Subject:
- Algebra
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

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; generalize using numerical, geometrical, graphical and/or algebraic structure; and explain why certain results are possible/impossible, moving towards a proof.

This lesson unit is intended to help teachers assess how well students are able to: interpret a situation and represent the constraints and variables mathematically; select appropriate mathematical methods to use; make sensible estimates and assumptions; investigate an exponentially increasing sequence; and communicate their reasoning clearly.

This lesson unit is intended to help teachers assess how well students are able to visualize two-dimensional cross-sections of representations of three-dimensional objects. In particular, the lesson will help you identify and help students who have difficulties recognizing and drawing two-dimensional cross-sections at different points along a plane of a representation of a three-dimensional object.

- Subject:
- Geometry
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help teachers 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; and construct their own examples and counterexamples to help justify or refute conjectures.

- Subject:
- Geometry
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help teachers assess how well students are able to translate between words, symbols, tables, and area representations of algebraic expressions. It will help teachers to identify and support students who have difficulty in: recognizing the order of algebraic operations; recognizing equivalent expressions; and understanding the distributive laws of multiplication and division over addition (expansion of parentheses).

- Subject:
- Algebra
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons.

- Subject:
- Geometry
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help teachers assess how well students: are able to use frequency graphs to identify a range of measures and make sense of this data in a real-world context; and understand that a large number of data points allow a frequency graph to be approximated by a continuous distribution.

This lesson unit is intended to help teachers assess how well students are able to create and solve linear equations. In particular, the lesson will help you identify and help students who have the following difficulties: solving equations with one variable and solving linear equations in more than one way.

- Subject:
- Algebra
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help teachers assess how well students are able to interpret distanceĐtime graphs and, in particular, to help you identify students who: interpret distanceĐtime graphs as if they are pictures of situations rather than abstract representations of them; and have difficulty relating speeds to slopes of these graphs.

This lesson unit is intended to help teachers 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 in: recognizing the connection between the zeros of polynomials when suitable factorizations are available, and graphs of the functions defined by polynomials; and recognizing the connection between transformations of the graphs and transformations of the functions obtained by replacing f(x) by f(x + k), f(x) + k, -f(x), f(-x).

This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, it will help you identify and help students who have difficulty: decomposing complex shapes into simpler ones in order to solve a problem; bringing together several geometric concepts to solve a problem; and finding the relationship between radii of inscribed and circumscribed circles of right triangles.

- Subject:
- Geometry
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help you assess how well students are able to: Model a situation; make sensible, realistic assumptions and estimates; and use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.

- Subject:
- Geometry
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help teachers assess how well students are able to: model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions; and interpret the constants a, b, c in the formula h = a + b cos ct in terms of the physical situation, where h is the height of the person above the ground and t is the elapsed time.

- Subject:
- Functions
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help teachers assess how well students understand the notion of 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; and evaluating alternative models of the situation.

This lesson unit addresses common misconceptions relating to probability of simple and compound events. The lesson will help you assess how well students understand concepts of: Equally likely events; randomness; and sample sizes.

- Subject:
- Statistics and Probability
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)

This lesson unit is intended to help teachers assess how well students are able to interpret data using frequency graphs and box plots. In particular this unit aims to identify and help students who have difficulty figuring out the data points and spread of data from frequency graphs and box plots. It is advisable to use the lesson: Representing Data 1: Frequency Graphs, before this one.

This lesson unit is intended to help sixth grade teachers assess how well students are able to: Analyze a realistic situation mathematically; construct sight lines to decide which areas of a room are visible or hidden from a camera; find and compare areas of triangles and quadrilaterals; and calculate and compare percentages and/or fractions of areas.

- Subject:
- Geometry
- Ratios and Proportions
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- U.C. Berkeley
- Provider Set:
- Mathematics Assessment Project (MAP)
- Mathematics Assessment Project (MAP)