4.1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
4.1.1.b: recognize the place value of a given digit from hundredths to hundred-thousands;
4.1.1.c: compare and order whole numbers using the appropriate symbols (i.e., >, <, =);
4.1.1.d: model fractions as parts of unit wholes, as part of a set, as locations on number lines, and as divisions of whole numbers;
4.1.1.e: recognize and generate equivalent forms of whole numbers and commonly used fractions and decimals;
4.1.1.f: use models to compare and order commonly used fractions;
4.1.1.g: use concrete and pictorial representations to compare decimals;
4.1.1.h: use various models to represent, order, and compare whole numbers and commonly used fractions and mixed numbers (e.g., number lines, base ten blocks, Venn diagrams, hundreds boards);
4.1.2: Understand meanings of operations and how they relate to one another.
4.1.2.a: explain the relationship between addition and subtraction;
4.1.2.b: explain the relationship between multiplication and division;
4.1.2.c: communicate the effects of addition, subtraction, multiplication, and division on size and order of numbers.
4.1.3: Solve problems, compute fluently, and make reasonable estimates.
4.1.3.c: add and subtract fractions with like denominators;
4.1.3.e: add, subtract, and multiply decimals (includes monetary units);
4.1.3.g: solve real-world problems involving one-step addition, subtraction, and multiplication;
4.2.1: Understand patterns, relations, and functions.
4.2.1.a: generalize and extend geometric and numerical patterns;
4.2.1.b: represent and analyze patterns and functions using words, tables, and graphs;
4.2.2: Represent and analyze mathematical situations and structures using algebraic symbols.
4.2.2.a: interpret and solve open sentences that involve addition, subtraction, multiplication, and division;
4.2.3: Illustrate general properties of operations.
4.2.3.a: apply commutative, associative, zero, and identity properties.
4.2.4: Analyze change in various contexts.
4.2.4.a: investigate how a change in one variable relates to a change in a second variable.
4.3.1: Analyze characteristics and properties of two- and three-dimensional shapes.
4.3.1.h: draw lines of symmetry for two-dimensional geometric figures.
4.3.2: Specify locations and describe spatial relationships using coordinate geometry.
4.3.2.a: use appropriate mathematical language to find and specify points on a grid using whole number coordinates.
4.3.3: Apply transformations and use symmetry to analyze mathematical situations.
4.3.3.a: investigate, predict, and describe the results of transformations of two-dimensional geometric figures (i.e., slides, flips, turns);
4.3.4: Use visualization, spatial reasoning, and geometric modeling to solve problems.
4.3.4.b: create and describe mental images of objects, patterns, and paths;
4.4.1: Understand measurable attributes of objects and the units, systems, and processes of measurement.
4.4.1.a: demonstrate understanding of the concepts of length, perimeter, area, weight, capacity, volume, time, and angle measure;
4.4.1.b: apply appropriate estimation strategies using standard units of measure;
4.4.1.e: explore perimeter and area using a variety of models (e.g., geoboards, graph paper).
4.4.2: Apply appropriate techniques, tools, and formulas to determine measurements.
4.4.2.e: develop strategies for estimating the perimeters and areas of geometric figures;
4.5.1: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer questions.
4.5.1.a: collect data using observations, surveys, and experiments;
4.5.1.c: represent data using tables, pictographs, line graphs, and bar graphs;
4.5.1.d: interpret data displayed in tables, pictographs, line graphs, and bar graphs;
4.5.2: Select and use appropriate statistical methods to analyze data.
4.5.2.a: explore measures of central tendency (i.e., mean, median, mode).
4.5.4: Understand and apply basic concepts of probability.
4.5.4.a: describe the likelihood or chance of events as certain, possible, or impossible;
4.5.4.b: explain whether an event is likely or unlikely;
4.5.4.c: predict the probability of outcomes of simple experiments.
Correlation last revised: 7/7/2009