5.1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

5.1.1.b: name the place value of a given digit from thousandths to millions;

5.1.1.c: use various models to show relationships among whole numbers, fractions, mixed numbers, and decimals (e.g., number lines, base ten blocks, Venn diagrams, hundreds boards);

5.1.1.e: model proper fractions, improper fractions, and mixed numbers;

5.1.1.f: show the relationship between improper fractions and mixed numbers;

5.1.1.h: recognize relationships among commonly used fractions and decimals.

5.1.2: Understand meanings of operations and how they relate to one another.

5.1.2.a: use commutative, associative, and identity properties;

5.1.2.b: explain and demonstrate the inverse nature of addition and subtraction;

5.1.2.c: explain and demonstrate the inverse nature of multiplication and division;

5.1.2.d: communicate the effects of addition, subtraction, multiplication, and division on size and order of numbers.

5.1.3: Solve problems, compute fluently, and make reasonable estimates.

5.1.3.c: recognize reasonable estimates for operations;

5.1.3.d: add, subtract, multiply, and divide whole numbers and decimals;

5.1.3.e: use models, benchmarks, and equivalent forms to add and subtract commonly used fractions with like and unlike denominators;

5.2.1: Represent and analyze patterns, relations, and functions.

5.2.1.a: generalize and extend geometric and numerical patterns;

5.2.1.b: represent and analyze patterns and functions using words, tables, and graphs;

5.2.2: Represent and analyze mathematical situations and structures using algebraic symbols.

5.2.2.a: demonstrate understanding that an equation is a number sentence stating two quantities are equal;

5.2.2.d: express mathematical relationships using equations.

5.2.3: Illustrate general properties of operations.

5.2.3.a: apply commutative, associative, zero, distributive, and identity properties;

5.2.4: Analyze change in various contexts.

5.2.4.b: use a variety of methods to compare and describe situations involving constant and/or varying rates of change.

5.3.1: Analyze characteristics and properties of two- and three-dimensional shapes.

5.3.1.g: compare and contrast congruent and symmetrical geometric figures;

5.3.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

5.3.2.a: describe location and movement using appropriate mathematical language;

5.3.3: Apply transformations and use symmetry to analyze mathematical situations.

5.3.3.a: investigate, predict, and describe the results of transformations of two-dimensional figures (i.e., slides, flips, turns);

5.3.3.b: describe line and rotational symmetry in two-dimensional figures;

5.3.3.c: describe a motion or a series of motions that will show that two shapes are congruent.

5.3.4: Use visualization, spatial reasoning, and geometric modeling to solve problems.

5.3.4.b: create and describe mental images of objects, patterns, and paths;

5.4.1: Understand measurable attributes of objects and the units, systems, and processes of measurement.

5.4.1.a: demonstrate understanding of the concepts of length, perimeter, circumference, area, weight, capacity, volume, elapsed time, and angle measure;

5.4.2: Apply appropriate techniques, tools, and formulas to determine measurements.

5.4.2.a: apply and explain appropriate estimation strategies using standard units of measure;

5.4.2.b: select and apply appropriate standard units to measure length, perimeter, area, capacity, volume, weight, time, temperature, and angles;

5.5.1: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer questions.

5.5.1.a: collect data using observations, surveys, and experiments;

5.5.1.b: understand how data-collection methods affect the nature of the data set;

5.5.1.c: represent data using pictographs, bar graphs, tables, circle graphs, and line graphs;

5.5.1.d: interpret data displayed in pictographs, bar graphs, tables, circle graphs, and line graphs.

5.5.2: Select and use appropriate statistical methods to analyze data.

5.5.2.a: use measures of central tendency (i.e., mean, median, mode);

5.5.2.b: relate mean, median, and mode to a visual representation of a data set;

5.5.2.c: find the range of a data set.

5.5.4: Understand and apply basic concepts of probability.

5.5.4.a: describe the likelihood or chance of events as likely, unlikely, certain, equally likely, or impossible;

5.5.4.b: use a sample space to predict the probability of an event;

5.5.4.c: understand that the measure of the likelihood of an event can be represented as a number from 0-1.

Correlation last revised: 7/7/2009

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.