• Use models to understand the relationship between factors and products (e.g., number lines, arrays) MST3.E.MR1A.04.01
• Understand statements that use and, or, and not MST3.E.MR1A.04.02
• Represent problems in a variety of forms ( e.g., pictures, diagrams, charts) MST3.E.MR1A.04.03

     Analyze Mathematical Situations Using Patterns and Relationships

• Recognize number patterns involving addition, subtraction, and multiplication MST3.E.MR1B.04.01
• Recognize patterns in sequences of numbers such as triangular and square numbers MST3.E.MR1B.04.02
• Understand symmetry and patterns in number tables MST3.E.MR1B.04.03
• Understand money as related to fractions and decimals MST3.E.MR1B.04.04

• Verify an answer to a problem ( mathematical checks) MST3.E.MR1C.04.01
• Explain in writing how to solve numerical problems MST3.E.MR1C.04.02
• Use estimation, number relationships, and mathematical checks to justify answers MST3.E.MR1C.04.03

     Reach Simple Conclusions Using Logical Reasoning

• Solve problems using models (e.g., concrete objects, diagrams, charts, tables, and number lines) MST3.E.MR1D.04.01
• Use a variety of strategies (e.g., open sentences, patterns, relationships, estimation) to solve problems MST3.E.MR1D.04.02
• Know if information is missing in a story  MST3.E.MR1D.04.03                             

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• Read and write whole numbers to hundred millions MST3.E.NN2A.04.01
• Understand ordinal numbers from 100th to 500th MST3.E.NN2A.04.02
• Use manipulatives (e.g., base 10 blocks, abaci, chips) to trade for place value in whole numbers MST3.E.NN2B.04.02
• Understand the effects of addition, subtraction, and multiplication on odd and even properties of numbers MST3.E.NN2B.04.03
• Understand the concept of prime numbers MST3.E.NN2B.04.04
• Skip count MST3.E.NN2B.04.01
• Represent positive and negative numbers using models (e.g., number line, coordinates) MST3.E.NN2B.04.08

     Fractions

• Understand place value from millions to hundredths MST3.E.NN2C.04.01
• Order unit fractions using signs (< and >) and concrete materials MST3.E.NN2B.04.06
• Know fractions with denominators 2,3,4,5,6,8,10,12 MST3.E.NN2D.04.02
• Use the terms numerator and denominator when dividing a figure into equal parts MST3.E.NN2B.04.05
• Understand equivalent fractions/factors/simplest form MST3.E.NN2B.04.07
• Understand the use of fractions and decimal in daily life (e.g., monetary system, metric system)

     Decimals

• Know decimals to hundredths MST3.E.NN2D.04.03
• Order decimals to hundredths
• Use of manipulatives to trade for place value (base ten blocks) MST3.E.NN2B.04.02

     Ratio and Percent

• Know percents that are multiples of 5 MST3.E.NN2E.04.01
• Understand the concept of ratio in real-world situations MST3.E.NN2E.04.02

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• Add whole numbers less than one million MST3.E.OP3A.04.01
• Subtract whole numbers less than one million MST3.E.OP3A.04.02
• Subtract with zeros in the minuend MST3.E.OP3A.04.03
• Multiply three-digit numbers by one and two-digit numbers MST3.E.OP3A.04.04
• Multiply by multiples of 10 MST3.E.OP3A.04.05
• Divide two and three-digit dividends by one and two-digit divisors (quotient and remainder) MST3.E.OP3A.04.06

   Problem Solving Strategies

• Use diagrams charts, tables to help understand problem information MST3.E.OP3B.04.01
• Use open sentences to model problems MST3.E.OP3B.04.02
• Understand commutative, associative, distributive, and inverse properties MST3.E.OP3B.04.03
• Recognize patterns MST3.E.OP3B.04.04
• Understand how to break a problem into simpler parts  MST3.E.OP3B.04.05

     Single Digit Basic Number Facts

• Understand the inverse relationship between operations MST3.E.OP3C.04.01
• Understand the properties of zero MST3.E.OP3C.04.02
• Know multiplication facts through 100 and 144 MST3.E.OP3C.04.03
• Know division facts through 100 and 144 MST3.E.OP3C.04.03
• Understand identity properties of addition and multiplication MST3.E.OP3C.04.04

     Properties

• Understand the commutative property of addition and multiplication MST3.E.OP3D.04.01
• Understand the associative property of addition and multiplication MST3.E.OP3D.04.01

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• Understand the properties of plane figures MST3.E.MM4A.04.01
• Understand properties of solid figures (e.g., vertices, line segments, edges, and angles) MST3.E.MM4A.04.02
• Know that designs and patterns can be created with geometric figures MST3.E.MM4A.04.03

     Display and Analyze Data

• Use ordered pairs on a grid (coordinate plane) to represent data points MST3.E.MM4B.04.01
• Organize real-world data in graphs, tables, and charts MST3.E.MM4B.04.02
• Draw conclusions and make predications from graphs MST3.E.MM4B.04.03

     Use Multiple Representations (simulations, manipulative materials, pictures, and diagrams) as Tools to Explain the Operation of Everyday Procedures

• Measure perimeter, area, and volume by counting units MST3.E.MM4C.04.01
• Measure circumference of a circle (e.g., using string) MST3.E.MM4C.04.02
• Measure area of circles by counting units in a grid MST3.E.MM4C.04.03
• Understand the concept of volume (e.g. by "filling space" with standard-size objects) MST3.E.MM4C.04.04

     Predict and Measure Change Over Time

• Understand that change can be predicted and measured over time (e.g., in terms of height, weight, temperature) MST3.E.MM4D.04.01

     Use Physical Materials, Pictures and Diagrams to Explain Mathematical Ideas and Processes and to Demonstrate Geometric Concepts

• Understand the properties of figures (e.g., polygon, chord, radius, face, edge, vertex, angle, line segment, point, parallel,  perpendicular, and lines of symmetry) MST3.E.MM4E.04.01
• Understand that geometric shapes are useful for representing and describing real-world situations MST3.E.MM4E.04.02
• Use straightedge rulers, protractors, and compasses to construct shapes (e.g., circles, squares) MST3.E.MM4E.04.03

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• Know the appropriate metric units for measuring area, perimeter, and volume of objects MST3.E.ME5A.04.01
• Know the appropriate customary units for measuring area, perimeter, and volume of objects MST3.E.ME5A.04.01

     Select Appropriate Standard and Nonstandard Measure Tools in Measurement  Activities

• Understand the equivalent measures within the metric system of measure (grade 3 e.g. 100=1m) (Grade 4 e.g. 3.0 cm=0.3 dm) MST3.E.ME5B.04.01
• Understand the relationship between decimal concept and metric measurement tools MST3.E.ME5B.04.02

   Attributes of Area, Length, Capacity, Weight, volume, Time, Money, Temperature, and Angles

• Understand the relationship of the clock face to fractions of a circle MST3.E.ME5B.04.03
• Measure time to 5 minute, 1 minute, 1 second intervals MST3.E.ME5C.04.01
• Find the area and volume of specific figures by counting units MST3.E.ME5C.04.02
• Understand the relationship between factors and multiplication facts; and area and volume MST3.E.ME5C.04.03
• Know that measurements problems can be related to other area such as literature, science, and social studies MST3.E.ME5C.04.04

          Estimate and Find Measures Such as Length, Perimeter, Area, and Volume  Using Both Nonstandard and Standard Units

• Select and use appropriate metric and customary measurement tools MST3.E.ME5D.04.01
• Compare equivalent measures within the metric and English systems MST3.E.ME5D.04.02
• Find perimeter of polygons MST3.E.ME5D.04.03
• Find area using square units MST3.E.ME5D.04.04
• Find volume in terms of  cubic units MST3.E.ME5D.04.05
• Find the circumference of circles by measuring with string MST3.E.ME5D.04.06

          Collect, Display, and Interpret  Data

• Graph statistical data drawn from a variety of sources (e.g., newspapers, magazines, polls, charts, surveys) MST3.E.ME5E.04.01
• Organize and display tallied data in a variety of forms (graphs, models, pictures, lists, frequency tables) MST3.E.ME5E.04.02
• Find the range and the average (mean) in a collection of organized data MST3.E.ME5F.04.02

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• Estimate large numbers of objects (e.g., rice in a coffee can, the number of letters on a page, ways that newspapers report large numbers) MST3.E.UN6C.04.01
• Know when it is appropriate to make estimates MST3.E.UN6C.04.02
• Understand the concept of large number (million) using real-world examples (grains of sand, stars) MST3.E.UN6C.04.03

     Estimation Strategies

• Round numbers to nearest tenth, whole number, hundred, and thousand MST3.E.UN6D.04.01
• Use a variety of strategies to estimate computations, quantities, and measurements MST3.E.UN6D.04.02

     Predict Experimental Probabilities

• Conduct and predict outcomes of various experiments, using unequally as well as equally likely outcomes MST3.E.UN6F.04.01
• Know that events that are certain and events that have no chance of occurring MST3.E.UN6F.04.02
• Understand why a game is fair and unfair MST3.E.UN6F.04.03

     Make Estimates to Compare to Actual Results

• Round numbers using number lines and metric or customary measuring instruments MST3.E.UN6A.04.01
• Estimate measurements before measuring MST3.E.UN6A.04.02
• Estimate the outcomes of problems/experiments and compare the results with prediction MST3.E.UN6B.04.01

     Determine the Reasonableness of Results

• Estimate the result of computations before using  a calculator MST3.E.UN6E.04.01
• Use systematic ways to determine the number of possible arrangements and combinations (e.g., tree diagrams) MST3.E.UN6E.04.02
• Make generalizations about the difference between products of numbers greater than one and when one number is less than one MST3.E.UN6E.04.03
• Use estimation strategies for multiplication MST3.E.UN6E.04.04
• Use estimation strategies for division (e.g., when the divisor is greater or less than one, quotient is less than the dividend, the quotient is greater than the dividend) MST3.E.UN6E.04.04

     Make Predications, Using Unbiased Random Samples

• Collect and analyze statistical data from newspapers, magazines, and polls MST3.E.UN6G.04.01
• Make predictions based on experiments with spinner, drawing colored blocks from a bag, etc. MST3.E.UN6G.04.02
• Understand the concept of an unbiased random sample (i.e., a set in which every member has an equal chance of being chosen) and how it is used (i.e., television rating, opinion polls, marketing surveys MST3.E.UN6G.04.03

     Determine Probabilities of Simple Events

• Determine the number of ways an event can occur MST3.E.UN6H.04.01
• Determine the number of outcomes for an event MST3.E.UN6H.04.02
• Use fractional notation to express the probability of an occurrence MST3.E.UN6H.04.03
• Understand problems involving ordered arrangements MST3.E.UN6H.04.04

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• Recognize and create a variety of patterns (e.g., numeric, repeating) MST3.E.PF7A.04.01

     Represent and Describe Mathematical Relationships

• Use symbols <,> less than or equal to and greater than or equal to MST3.E.PF7B.04.01
• Understand the concepts "at most" and "at least" MST3.E.PF7B.04.02
• Know division facts can be written in more than one way MST3.E.PF7B.04.03
• Understand number sequences MST3.E.PF7B.04.04
• Understand relationships between addition and subtraction; addition and multiplication; subtraction and division; and multiplication and division MST3.E.PF7B.04.05
• Understand the equivalent forms of decimals and fractions (tenth, hundredth, and thousandth) MST3.E.PF7B.04.06
• Know whether the sum, difference, or product of two numbers is odd or even MST3.E.PF7B.04.07
• Understand that the area and volume formulas relate to counting squares or blocks MST3.E.PF7B.04.08

     Use of Manipulatives and Technology to Solve Patterns

• Use manipulatives or computer programs to manipulate geometric shapes such as tangrams and pattern blocks MST3.E.PF7E.04.01
• Use manipulatives or calculators to skip count and relate to multiplication MST3.E.PF7E.04.02
• Use manipulative materials and relevant computer software to understand symmetry MST3.E.PF7E.04.03
• Use manipulatives or relevant computer software to understand linear patterns MST3.E.PF7E.04.04

      Interpret Graphs

• Compare frequencies within a bar graph and histogram MST3.E.PF7F.04.02
• Find mode, median, mean, and range of a set of data MST3.E.PF7F.04.01
• Understand trends in bar graphs and line graphs MST3.E.PF7F.04.03

      2D and 3D Geometric Shapes

• Know the geometric shapes of faces of prisms, pyramids, cones, and cylinders MST3.E.PF7G.04.01
• Know the different types of prisms and pyramids MST3.E.PF7G.04.02

      Patterns in Nature, Art, Music, and Literature

• Recognize two and three dimensional shapes in nature, art, and human made environment MST3.E.PF7H.04.01
• Recognize tessellations in the real world MST3.E.PF7H.04.02
• Recognize symmetry in nature, art, and music MST3.E.PF7H.04.03

     Variable and Open Sentences

• Solve open sentences MST3.E.PF7C.04.01
• Use open multiplication and division sentences in situations of equality and inequality MST3.E.PF7C.04.02
• Use formulas to find perimeter and area of geometric shapes MST3.E.PF7C.04.03

     Use Manipulatives to Solve for an Unknown

• Use counters to solve division problems MST3.E.PF7D.04.01
• Use counters to understand number patterns (e.g., triangular numbers, square numbers) MST3.E.PF7D.04.02
• Use counters to help solve problems that can be summarized with open sentences MST3.E.PF7D.04.03
• Use counters to explore or explain commutative and associative properties of addition and multiplication MST3.E.PF7D..04.04

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