Fourth Grade Math Standards and Benchmarks

PerformanceObjective 4Use strategies to estimate computations involving fractions and decimals.Fourth Grade Standards and Benchmarks Page 2

Standard #2: AlgebraDefinition: Students will understand algebraic concepts and applications.Benchmark #1:Understand patterns,relations, andfunctionsBenchmark #2:Represent andanalyze mathematicalsituations andstructures usingalgebraic symbolsBenchmark #3:Use mathematicalmodels to representand understandquantitativerelationshipsBenchmark #4:Analyze changes invarious contextsPerformanceObjective 1PerformanceObjective 2PerformanceObjective 3PerformanceObjective 4PerformanceObjective 1PerformanceObjective 2PerformanceObjective 3PerformanceObjective 4PerformanceObjective 5PerformanceObjective 1PerformanceObjective 2PerformanceObjective 3PerformanceObjective 1PerformanceObjective 2PerformanceObjective 3PerformanceObjective 4Represent and analyze patterns and simple functions using words, tables, andgraphs.Create and describe numeric and geometric patterns including multiplication anddivision patterns.Express mathematical relationships using equations.Use and interpret variables, mathematical symbols, and properties to write andsimplify expressions and sentences:use letters, boxes, or other symbols to stand for any number in simpleexpressions or equations (e.g., demonstrate an understanding of the conceptof a variable)interpret and evaluate mathematical expressions using parenthesesuse and interpret formulas (e.g., Area = Length x Width or A = L x W) toanswer questions about quantities and their relationshipsIdentify symbols and letters that represent the concept of a variable as an unknownquantity.Explore the uses of properties (commutative, distributive, associative) in thecomputation of whole numbers.Express mathematical relationships using equations.Determine the value of variables in simple equations (e.g., 80 x 15 = 40 x ?).Develop simple formulas in exploring quantities and their relationships (e.g., A = Lx W).Solve problems involving proportional relationships (including unit pricing and mapinterpretations; e.g., one inch = five miles; therefore, five inches = _ miles).Model problem situations and use graphs, tables, pictures, and equations to drawconclusions (e.g., different patterns of change).Use and interpret formulas (e.g., Area = Length x Width or A = L x W) to answerquestions about quantities and their relationships.Identify and describe situations with constant or varying rates of change andcompare them.Determine how a change in one variable relates to a change in a second variable(e.g., data tables, input-output machines).Find and analyze patterns using data tables (e.g., T tables).Demonstrate and describe varying rates of change in relation to real-worldsituations (e.g., plant growth, students’ heights).Fourth Grade Standards and Benchmarks Page 3

Standard #4: MeasurementDefinition: Students will understand measurement systems and applications.Benchmark #1:Understandmeasurable attributesof objects and theunits, systems, andprocess ofmeasurementBenchmark #2:Apply appropriatetechniques, tools, andformulas to determinemeasurementsPerformanceObjective 1PerformanceObjective 2PerformanceObjective 3PerformanceObjective 4PerformanceObjective 5PerformanceObjective 6PerformanceObjective 1PerformanceObjective 2PerformanceObjective 3PerformanceObjective 4PerformanceObjective 5PerformanceObjective 6Select the appropriate type of unit for measuring perimeter and size of an angle.Understand the need for measuring with standard units and become familiar withthe standard units in customary and metric system.Identify the inverse relationship between the size of the units and the number ofunits.Develop formulas to determine the surface areas of rectangular solids.Develop, understand, and use formulas to find the area of rectangles and relatedtriangles and parallelograms.Carry out simple conversions within a system of measurement (e.g., hours tominutes, meters to centimeters).Estimate perimeters, areas of rectangles, triangles, and irregular shapes.Find the area of rectangles, related triangles, and parallelograms.Estimate, measure, and solve problems involving length, area, mass, time, andtemperature using appropriate standard units and tools.Identify common measurements of turns (e.g., 360 degrees in one turn, 90degrees in a quarter-turn).Compute elapsed time and make and interpret schedules.Use tools to measure angles (e.g., protractor, compass).Fourth Grade Standards and Benchmarks Page 5

Standard #5: Data Analysis and ProbabilityDefinition: Students will understand how to formulate questions, analyze data, and determine probabilities.Benchmark #1:Formulate questionsthat can be addressedwith data and collect,organize, and displayrelevant data toanswer themBenchmark #2:Select and useappropriate statisticalmethods to analyzedataBenchmark #3:Develop and evaluateinferences andpredictions that arebased on dataBenchmark #4:Understand and applybasic concepts ofprobabilityPerformanceObjective 1PerformanceObjective 2PerformanceObjective 1PerformanceObjective 2PerformanceObjective 3PerformanceObjective 1PerformanceObjective 2PerformanceObjective 1Organize, represent, and interpret numerical and categorical data and clearlycommunicate findings:choose and construct representations that are appropriate for the data setrecognize the differences in representing categorical and numerical dataDesign investigations and represent data using tables and graphs (e.g., line plots,bar graphs, line graphs).Compare and describe related data sets.Use the concepts of median, mode, maximum, minimum, and range and drawconclusions about a data set.Use data analysis to make reasonable inferences/predictions and to developconvincing arguments from data described in a variety of formats (e.g. bar graphs,Venn diagrams, charts, tables, line graphs, and pictographs).Propose and justify conclusions and predictions based on data.Develop convincing arguments from data displayed in a variety of formats.Describe events as “likely,” “unlikely,” or “impossible” and quantify simpleprobability situations:represent all possible outcomes for a simple probability situation in anorganized way (e.g., tables, grids, tree diagrams)express outcomes of experimental probability situations verbally andnumerically (e.g., three out of four, _)PerformanceObjective 2List all the possible combinations of objects from three sets (e.g., spinners, numberof outfits from three different shirts, two skirts, and two hats).Fourth Grade Standards and Benchmarks Page 6