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2D Representations of 3D Objects

2D Representations of 3D Objects

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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.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Analyzing Congruence Proofs

Analyzing Congruence Proofs

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This lesson unit is intended to help teachers assess how well students are able to: work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles; Identify and understand the significance of a counter-example; Prove, and evaluate proofs in a geometric context.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Applying Angle Theorems

Applying Angle Theorems

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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.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Building and Solving Equations 1

Building and Solving Equations 1

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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.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Calculating Volumes of Compound Objects

Calculating Volumes of Compound Objects

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This lesson unit is intended to help teahcers assess how well students solve problems involving measurement, and in particular, to identify and help students who have the following difficulties; computing measurements using formulas; decomposing compound shapes into simpler ones; using right triangles and their properties to solve real-world problems.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Classifying Solutions to Systems of Equations

Classifying Solutions to Systems of Equations

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This lesson unit is intended to help teachers assess how well students are able to classify solutions to a pair of linear equations by considering their graphical representations. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using substitution to complete a table of values for a linear equation; identifying a linear equation from a given table of values; and graphing and solving linear equations.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Comparing Investments

Comparing Investments

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This lesson unit is intended to help teachers 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 intervale; and to achieve these goals students work on simple and compound interest problems.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Defining Regions Using Inequalities

Defining Regions Using Inequalities

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This lesson unit is intended to help teachers assess how well students are able to use linear inequalities to create a set of solutions. In particular, the lesson will help teachers identify and assist students who have difficulties in: representing a constraint by shading the correct side of the inequality line; and understanding how combining inequalities affects a solution space.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Designing: Candy Cartons

Designing: Candy Cartons

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This lesson unit is intended to help teachers assess how well students are able to: Select appropriate mathematical methods to use for an unstructured problem; interpret a problem situation, identifying constraints and variables, and specify assumptions; work with 2- and 3-dimensional shapes to solve a problem involving capacity and surface area; and communicate their reasoning clearly.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Developing a Sense of Scale

Developing a Sense of Scale

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This lesson unit is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who: use inappropriate additive strategies in scaling problems, which have a multiplicative structure; rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition, and have not developed a single multiplier strategy for solving proportionality problems; and see multiplication as making numbers bigger, and division as making numbers smaller.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Devising a Measure for Correlation

Devising a Measure for Correlation

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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.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Drawing to Scale: Designing a Garden

Drawing to Scale: Designing a Garden

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This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Equations of Circles 1

Equations of Circles 1

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This lesson unit is intended to help teachers assess how well students are able to: use the Pythagorean theorem to derive the equation of a circle; and translate between the geometric features of circles and their equations.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Equations of Circles 2

Equations of Circles 2

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This lesson unit is intended to help teachers assess how well students are able to: translate between the equations of circles and their geometric features; and sketch a circle from its equation.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Estimating: Counting Trees

Estimating: Counting Trees

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This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

Material Type:: Assessment; Lecture Notes; Lesson Plan; Teaching/Learning Strategy
Provider:: Florida Center for Research in Science, Technology, Engineering, and Mathematics; Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: iCPALMS: A Standards-based K-12 Resources and Tools Pathway; Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Author:: http://map.mathshell.org/
Date Added:: 04/26/2013

Estimating Length Using Scientific Notation

Estimating Length Using Scientific Notation

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This lesson unit is intended to help teachers assess how well students are able to: estimate lengths of everyday objects; convert between decimal and scientific notation; and make comparisons of the size of numbers expressed in both decimal and scientific notation.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Estimations and Approximations: The Money Munchers

Estimations and Approximations: The Money Munchers

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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.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Evaluating Statements About Enlargements (2D and 3D)

Evaluating Statements About Enlargements (2D and 3D)

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This lesson unit is intended to help teachers 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 the following: computing perimeters, areas and volumes using formulas; and finding the relationships between perimeters, areas, and volumes of shapes after scaling.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Evaluating Statements About Length and Area

Evaluating Statements About Length and Area

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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.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Evaluating Statements About Probability

Evaluating Statements About Probability

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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.

Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013