Web Resources Math-Grade 4 Problem solving MST3.E.PS.04.01 Explore, examine, and make observations about a social problem or mathematical situation MST3.E.PS.04.02 Understand that some ways of representing a problem are more helpful than others MST3.E.PS.04.03 Interpret information correctly, identify that problem, and generate possible solutions MST3.E.PS.04.04 Act out or model with manipulatives activities involving mathematical content from literature MST3.E.PS.04.05 Formulate problems and solutions from everyday situations MST3.E.PS.04.06 Translate from a picture/diagram to a numeric expression MST3.E.PS.04.07 Represent problem situations in oral, written, concrete, pictorial, and graphical forms MST3.E.PS.04.08 Select an appropriate representation of a problem MST3.E.PS.04.09 Use trial and error to solve problems MST3.E.PS.04.10 Use process of elimination to solve problem MST3.E.PS.04.11 Make pictures/diagrams of problems MST3.E.PS.04.12 Use physical objects to model problems MST3.E.PS.04.13 Work in collaboration with others to solve problems MST3.E.PS.04.14 Make organized lists to solve numerical problems MST3.E.PS.04.15 Make charts to solve numerical problems MST3.E.PS.04.16 Analyze problems by identifying relationships MST3.E.PS.04.17 Analyze problems by identifying relevant versus irrelevant information MST3.E.PS.04.18 Analyze problems by observing patterns MST3.E.PS.04.19 State a problem in their own words MST3.E.PS.04.20 Determine what information is needed to solve a problem MST3.E.PS.04.21 Discuss with peers to understand a problem situation MST3.E.PS.04.22 Discuss the efficiency of different representations of a problem MST3.E.PS.04.23 Verify results of a problem MST3.E.PS.04.24 Recognize invalid approaches MST3.E.PS.04.25 Determine whether a solution is reasonable in the context of the original problem Reasoning and Proof/Communication MST3.E.RP.04.01 Use representations to support mathematical ideas MST3.E.RP.04.02 Determine whether a mathematical statement is true or false and explain why MST3.E.RP.04.03 Investigate the use of knowledgeable guessing by generalizing mathematical ideas MST3.E.RP.04.04 Make conjecture from a variety of representations MST3.E.RP.04.05 Justify general claims or conjectures, using manipulatives, models, and expressions MST3.E.RP.04.06 Develop and explain an argument using oral, written, concrete, pictorial, and/or graphical forms MST3.E.RP.04.07 Discuss, listen, and make comments that support or reject claims made by other students MST3.E.RP.04.08 Support an argument by trying many cases MST3.E.RP.04.09 Disprove an argument by finding counterexamples MST3.E.CM.04.01 Understand and explain how to organize their thought process MST3.E.CM.04.02 Verbally explain their rationale for strategy selection MST3.E.CM.04.03 Provide reasoning both in written and verbal form MST3.E.CM.04.04 Organize and accurately label work MST3.E.CM.04.05 Share organized mathematical ideas through the manipulation of objects, drawings, pictures, charts, graphs, tables, diagrams, models, symbols and expressions in written and verbal form MST3.E.CM.04.06 Answer clarifying questions from others Oswego City School District Page 1 Julie Burger MST3.E.CM.04.07 Restate mathematical solutions shared by other students MST3.E.CM.04.08 Consider strategies used and solutions found in relation to their own work MST3.E.CM.04.09 Increase their use of mathematical vocabulary and language when communicating with others MST3.E.CM.04.10 Describe objects, relationships, solutions and rationale using appropriate vocabulary MST3.E.CM.04.11 Decode and comprehend mathematical visuals and symbols to construct meaning Connections/Representation MST3.E.CN.04.01 Recognize, understand, and make connections in their everyday experiences to mathematical ideas MST3.E.CN.04.02 Compare and contrast mathematical ideas MST3.E.CN.04.03 Connect and apply mathematical information to solve problems MST3.E.CN.04.04 Understand multiple representations and how they are related MST3.E.CN.04.05 Model situations with objects and representations and be able to make observations MST3.E.CN.04.06 Recognize the presence of mathematics in their daily lives MST3.E.CN.04.07 Apply mathematics to solve problems that develop outside of mathematics MST3.E.CN.04.08 Recognize and apply mathematics to other disciplines MST3.E.R.04.01 Use verbal and written language, physical models, drawing charts, graphs, tables, symbols, and equations as representations MST3.E.R.04.02 Share mental images of mathematical ideas and understandings MST3.E.R.04.03 Recognize and use external mathematical representations MST3.E.R.04.04 Use standard and nonstandard representations with accuracy and detail MST3.E.R.04.05 Understand similarities and differences in representations MST3.E.R.04.06 Connect mathematical representations with problem solving MST3.E.R.04.07 Construct effective representations to solve problems MST3.E.R.04.08 Use mathematics to show and understand physical phenomena (e.g., estimate and represent the number of apples in a tree) MST3.E.R.04.09 Use mathematics to show and understand social phenomena (e.g., determine the number of buses required for a field trip) MST3.E.R.04.10 Use mathematics to show and understand mathematical phenomena (e.g., use a multiplication grid to solve odd and even number problems) Number Sense and Operations/Algebra MST3.E.N.04.01 Skip count by 1000’s MST3.E.N.04.02 Read and write whole numbers to 10,000 MST3.E.N.04.03 Compare and order numbers to 10,000 MST3.E.N.04.04 Understand the place value structure of the base ten number system: 10 ones = 1 ten 10 tens = 1 hundred 10 hundreds = 1 thousand 10 thousands = 1 ten thousand MST3.E.N.04.05 Recognize equivalent representations for numbers up to four digits and generate them by decomposing and composing numbers MST3.E.N.04.06 Understand, use, and explain the associative property of multiplication MST3.E.N.04.07 Understand fractions are locations on number lines and fractions are also divisions of whole numbers MST3.E.N.04.08 Recognize and generate equivalent fractions (halves, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visuals models, and illustrations Oswego City School District Page 2 Julie Burger MST3.E.N.04.09 Use concrete materials and visual models to compare and order unit fractions or fractions with the same denominator (with and without the use of the number line) MST3.E.N.04.10 Understand decimals are part of a whole MST3.E.N.04.11 Read and write decimals to hundredths, using money as a context MST3.E.N.04.12 Use concrete materials and visual models to compare and order decimals (less than 1) to the hundredths place in the context of money MST3.E.N.04.13 Understand the properties of odd/even numbers as a result of multiplication MST3.E.N.04.14 Use a variety of strategies to add and subtract numbers up to 10,000 MST3.E.N.04.15 Select appropriate computational and operational methods to solve problems MST3.E.N.04.16A Understand various meanings of multiplication MST3.E.N.04.16B Understand various meanings of division MST3.E.N.04.17 Use multiplication and division as inverse operations to solve problems MST3.E.N.04.18 Use a variety of strategies to multiply two-digit numbers by onedigit numbers (with and without regrouping) MST3.E.N.04.19 Use a variety of strategies to multiply two-digit numbers by twodigit numbers (with and without regrouping) MST3.E.N.04.20A Develop fluency in multiplying multiples of 10 and 100 up to 1,000 MST3.E.N.04.20B Develop fluency in dividing multiples of 10 and 100 up to 1,000 MST3.E.N.04.21 Use a variety of strategies to divide two-digit dividends by onedigit divisors (with and without remainders) MST3.E.N.04.22 Interpret the meaning of remainders MST3.E.N.04.23 Add and subtract proper fractions with common denominators MST3.E.N.04.24 Express decimals as an equivalent form of fractions to tenths and hundredths MST3.E.N.04.25 Add and subtract decimals to tenths and hundredths using a hundreds chart MST3.E.N.04.26 Round numbers less than 1000 to the nearest tens and hundreds MST3.E.N.04.27 Check reasonableness of an answer by using estimation MST3.E.A.04.01 Evaluate and express relationships using open sentences with one operation MST3.E.A.04.02A Use the symbols <, >, = and ≠ (with and without the use of a number line) to compare whole numbers MST3.E.A.04.02B Use the symbols <, >, = and ≠ (with and without the use of a number line) to compare whole numbers and unit fractions and decimals (up to hundredths) MST3.E.A.04.03 Find the value or values that will make an open sentence true, if it contains < or > MST3.E.A.04.04 Describe and extend and make generalizations about numeric (+, -, x, ÷ ) and geometric patterns MST3.E.A.04.05 Analyze a pattern or whole-number function and state the rule, given a table or an input/output box Geometry MST3.E.G.04.01 Identify and name polygons, recognizing that their names are related to the number of sides and angles (triangle, quadrilateral, pentagon, hexagon, and octagon) MST3.E.G.04.02 Identify points and line segments when drawing a plane figure Find perimeter of polygons by adding sides MST3.E.G.04.03 Find the area of a rectangle by counting the number of squares needed to cover the rectangle Define and identify vertices, faces, and edges of three-dimensional shapes MST3.E.G.04.04 MST3.E.G.04.05 Draw and identify intersecting, perpendicular, and parallel lines MST3.E.G.04.06 Identify points and rays when drawing angles MST3.E.G.04.07 Classify angles as acute, obtuse, right, and straight Oswego City School District Page 3 Julie Burger Measurement MST3.E.M.04.01 Select tools and units (customary and metric) appropriate length being measured MST3.E.M.04.02 Use a ruler to measure to the nearest standard unit (whole, ½ and ¼ inches, whole feet, whole yards, whole centimeters, and whole meters) MST3.E.M.04.03 Know and understand equivalent standard units of length: 12 inches = 1 foot 3 feet = 1 yard MST3.E.M.04.04 Select tools and units appropriate to the object being weighed (grams and kilograms) MST3.E.M.04.05 Measure mass, using grams MST3.E.M.04.06 Select tools and units appropriate to the capacity being measured (milliliters and liters) MST3.E.M.04.07 Measure capacity, using milliliters and liters MST3.E.M.04.08 Make change, using combined coins and dollar amounts MST3.E.M.04.09 Calculate elapsed time in hours and half hours, not crossing A.M./P.M MST3.E.M.04.10 Calculate elapsed time in days and weeks, using a calendar Statistics and Probability MST3.E.S.04.01 Design investigations to address a question from given data MST3.E.S.04.02 Collect data using observations, surveys, and experiments and record appropriately MST3.E.S.04.03 Represent data using tables, bar graphs, and pictographs MST3.E.S.04.04 Read and interpret line graphs MST3.E.S.04.05 Develop and make predictions that are based on data MST3.E.S.04.06 Formulate conclusions and make predictions from graphs Oswego City School District Page 4 Julie Burger