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3.M1
Numbers and Operations
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3.M1a
Use place values to read, model, and interpret whole numbers through thousands and decimals through hundredths; explain the values of the digits;
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3.M1b
Explain the relationship of commonly used fractions to their equivalent forms, and explain their relationship to a whole;
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3.M1c
Identify and describe numbers according to their characteristics such as even, odd, multiples, and/or factors;
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3.M1d
Use mathematical language and symbols to compare and order numbers and objects;
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3.M1e
Explain and use addition, subtraction, multiplication, and division to show equivalent whole numbers;
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3.M1f
Explain the relationship between multiplication and division as inverse operations.
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3.M1g
Use properties of operations on whole numbers, i.e., commutativity and associativity;
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3.M1h
Explain and perform addition and subtraction for two- and three-digit numbers and multiplication of one- and two-digit numbers;
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3.M1i
Model and explain multiplication and division using appropriate symbols and strategies;
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3.M1j
Develop and use strategies to estimate the results of whole number computations and judge the reasonableness of the computed results;
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3.M1k
Solve non-routine multi-step problems using appropriate tools and strategies involving addition, subtraction, and multiplication.
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3.M2
Algebra
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3.M2a
Identify, describe, and extend the rules of multiplicative and growing patterns;
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3.M2b
Make predictions, identify relationships, and solve problems by using the concept of patterns;
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3.M2c
Express mathematical relationships as equations or inequalities with appropriate symbols;
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3.M2d
Solve open sentences by representing an expression in more than one way using the commutative and associative properties for multiplication;
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3.M2e
Organize and order data in labeled tables to discover patterns and rules;
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3.M2f
Represent mathematical situations to solve problems using equations or inequalities;
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3.M2g
Recognize patterns and make predictions based on collected data;
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3.M2h
Describe the difference between qualitative and quantitative changes.
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3.M3
Geometry
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3.M3a
Describe properties of two- and three- dimensional shapes using mathematical terminology;
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3.M3b
Identify and describe the relative size of angles with right angles as a reference;
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3.M3c
Use coordinate systems to specify locations and describe paths;
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3.M3d
Verify symmetry by drawing lines of symmetry in shapes and objects;
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3.M3e
Build and draw geometric shapes.
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3.M4
Measurement
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3.M4a
Explain the need for using standard units when making measurements;
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3.M4b
Explore standard units within the customary and metric systems and describe the relationship of units within each system;
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3.M4c
Use accurate vocabulary to describe measurement, i.e., meters for length, degrees for temperature, minutes to hours, etc.;
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3.M4d
Use counting techniques to explain how to find the area and perimeter of regular shapes;
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3.M4e
Estimate measurements using a personal reference;
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3.M4f
Uses appropriate measurement tools and techniques to construct a figure;
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3.M4g
Select and apply appropriate standard units and tools to compare the measurable attributes of a variety of objects;
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3.M4h
Develop strategies for estimating the perimeter of irregular shapes;
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3.M4i
Read thermometers accurately;
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3.M4j
Use models to estimate perimeter and area;
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3.M4k
Calculate the area and perimeter of regular shapes;
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3.M4l
Tell time to the nearest minute and measure elapsed time using a clock or calendar.
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3.M5
Data Analysis and Probability
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3.M5a
Develop and implement a plan to collect and organize data to address a given question;
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3.M5b
Translate information from one data representation to another, i.e., graph to table;
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3.M5c
Support a conclusion or a prediction with evidence from data;
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3.M5d
Organize and graphically display data using a variety of categories and intervals;
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3.M5e
Describe the characteristics of graphically represented data, i.e., identify the mode;
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3.M5f
Examine graphs and tables that display the same set of data to identify what each representation contributes to the interpretation of data and conclusions drawn;
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3.M5g
Select a question for study, predict possible outcomes, conduct simple experiments, and compare results to predictions.
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