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M4.A
Numbers and Operations
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M4.A.1
Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.
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M4.A.1.1
Use models and/or words to represent quantities as decimals, fractions or mixed numbers.
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M4.A.1.1.1
Write the fraction or decimal, including mixed numbers, which corresponds to a drawing or set - no simplification necessary.
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M4.A.1.1.2
Create a drawing or set that represents a given fraction or decimal, including mixed numbers (through the tenths).
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M4.A.1.1.3
Match the standard number form to the word form of decimal numbers (through the tenths place).
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M4.A.1.1.4
Write whole numbers in expanded, standard and/or word form through 6 digits (example of standard to expanded form: 43,076 = 40,000+3000+70+6).
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M4.A.1.2
Compare quantities and magnitudes of numbers.
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M4.A.1.2.1
Locate/identify fractions or decimals on a number line (decimals and fractions through the tenths - do not mix fractions and decimals).
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M4.A.1.2.2
Compare and/or order whole numbers through 6 digits and amounts of money to $100 (limit sets for ordering, to no more than 4 numbers).
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M4.A.1.3
Develop and/or apply number theory concepts to represent numbers in various ways
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M4.A.1.3.1
Find/list/identify all factors through 10 of any given number.
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M4.A.1.3.2
Find/list/identify multiples of a number, where the multiples do not exceed 100.
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M4.A.2
Understand the meanings of operations, use operations and understand how they relate to each other.
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M4.A.2.1
Use operations to solve problems (may include word problems).
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M4.A.2.1.1
Solve problems involving all operations with whole numbers, and/or explain the solution (limit to two-step problems; e.g., multiply then add - single digit multipliers and divisors).
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M4.A.2.1.2
Solve problems involving addition or subtraction with decimals through the tenths or money to the cent and/or explain the solution. Limit to two-step problems.
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M4.A.3
Compute accurately and fluently and make reasonable estimates.
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M4.A.3.1
Apply rounding and/or estimation strategies to solve problems.
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M4.A.3.1.1
Round whole numbers to the nearest ten, hundred, thousand, ten-thousand or hundred-thousand.
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M4.A.3.1.2
Round amounts of money to the nearest dollar.
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M4.A.3.1.3
Estimate the answer to addition, subtraction and multiplication problems using whole numbers through 6 digits (for multiplication, no more than 2 digits X 1 digit, excluding powers of 10).
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M4.A.3.2
Compute using fractions or decimals (written vertically or horizontally - straight computation only).
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M4.A.3.2.1
Solve addition or subtraction problems involving decimals through hundredths (decimal numbers must have the same number of places).
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M4.A.3.2.2
Solve addition or subtraction problems with fractions with like denominators (denominators to 10, no simplifying necessary).
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M4.B
Measurement
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M4.B.1
Demonstrate an understanding of measurable attributes of objects and figures, and the units, systems and processes of measurement.
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M4.B.1.1
Determine time and/or calculate elapsed time.
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M4.B.1.1.1
Match/construct analog time (a picture of a clock), to the same time written in digital.
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M4.B.1.1.2
Identify time (analog or digital) as the amount of minutes before and/or after the hour (e.g., 2:50 is the same as 10 minutes before 3:00; quarter past six is the same as 6:15).
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M4.B.1.1.3
Calculate the elapsed time, to the minute, in a given situation (limited to 2 adjacent hours).
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M4.B.1.1.4
Determine the beginning or ending time, given the elapsed time (limited to 2 adjacent hours).
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M4.B.2
Apply appropriate techniques, tools and formulas to determine measurements.
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M4.B.2.1
Select and/or use appropriate tools and/or attributes for measuring quantities.
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M4.B.2.1.1
Use or read a ruler (provided) to measure to the nearest 1/4 inch or centimeter.
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M4.B.2.2
Estimate measurements of figures.
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M4.B.2.2.1
Make reasonable estimates of weights, lengths and capacities of familiar objects (measurements in the same system).
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M4.C
Geometry
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M4.C.1
Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.
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M4.C.1.1
Identify/describe the basic properties of geometric figures in two or three dimensions.
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M4.C.1.1.1
Identify, classify and/or compare two-dimensional figures (circle, triangle, square, parallelogram, trapezoid, rhombus, rectangle, pentagon, hexagon, octagon).
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M4.C.1.1.2
Identify or classify three-dimensional figures (cube, sphere, rectangular prism and pyramid).
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M4.C.1.2
Represent and/or use properties or relationships of points, lines, line segments, rays and angles.
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M4.C.1.2.1
Identify points, lines, line segments or rays.
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M4.C.1.2.2
Identify parallel and perpendicular lines.
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M4.C.2
Identify and/or apply concepts of transformations or symmetry.
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M4.C.2.1
Apply the concepts of reflection and symmetry.
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M4.C.2.1.1
Identify or create figures that have one, two or no lines of symmetry.
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M4.C.3
Locate and describe relationships using the coordinate plane.
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M4.C.3.1
Locate points on a simple grid.
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M4.C.3.1.1
Match or plot the ordered pair with the appropriate point (or object) on a simple grid.
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M4.D
Algebraic Concepts
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M4.D.1
Demonstrate an understanding of patterns, relations and functions.
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M4.D.1.1
Recognize, describe, extend, create and/or replicate a variety of patterns.
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M4.D.1.1.1
Extend or find a missing element in a numerical or geometric pattern (+, - or x may be used - numerical patterns must be whole numbers).
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M4.D.1.1.2
Identify/describe the rule for a numerical or geometric pattern shown (+, - or x may be used - numerical patterns must be whole numbers).
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M4.D.1.1.3
Create or replicate a numerical or geometric pattern showing 3 repetitions (+, - or x may be used - numerical patterns must be whole numbers or money).
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M4.D.1.2
Apply simple function rules.
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M4.D.1.2.1
Determine the missing elements in a function table (functions may use +, - or x and whole numbers or money).
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M4.D.1.2.2
Determine the rule for a function given a table (functions may use +, - or x and whole numbers).
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M4.D.2
Represent and/or analyze mathematical situations and structures using algebraic symbols, words, tables and graphs.
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M4.D.2.1
Use numbers and symbols to model the concepts of expressions and/or equations.
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M4.D.2.1.1
Correlate story situations with expressions or equations (may use numbers and one operation +, - or x; no variables).
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M4.D.2.2
Determine the missing number or symbol in a number sentence.
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M4.D.2.2.1
Solve for a missing number in an equation (using estimation, guess & check, etc.). May use +, - or single digit x or ÷.
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M4.D.2.2.2
Identify the missing symbol (+, -, x, ÷, =, <, >) that makes a number sentence true (single digit x or ÷ only).
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M4.E
Data Analysis and Probability
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M4.E.1
Formulate questions that can be addressed with data and/or collect, organize, display and analyze data.
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M4.E.1.1
Interpret data shown on tables, charts, line graphs, bar graphs or pictographs.
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M4.E.1.1.1
Describe, interpret and/or answer questions based on data shown in tables, charts, bar graphs or pictographs.
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M4.E.1.2
Organize or display data using tables, bar graphs, line graphs or pictographs.
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M4.E.1.2.1
Graph data or complete a graph given the data (bar graph or pictograph - grid is provided).
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M4.E.1.2.2
Translate information from one type of display to another (table, chart, bar graph, or pictograph).
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M4.E.3
Understand and apply basic concepts of probability or outcomes.
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M4.E.3.1
Predict and/or measure the likelihood of events.
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M4.E.3.1.1
Make a prediction based on data or chance (data may be shown in tables, charts, line graphs, bar graphs or pictographs).
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