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Maryland Standards for Fifth Grade Math

MD.1.0. Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.

1.A.1. Patterns and Functions: Identify, describe, extend, and create numeric patterns and functions.

1.A.1.d. Apply a given two operation rule for a pattern (Assessment limit: Use two operations (+, -, x) and whole numbers (0 - 100)).

1.B.1. Expressions, Equations, and Inequalities: Write and identify expressions.

1.B.1.a. Represent unknown quantities with one unknown and one operation (+, -, x, / with no remainders) (Assessment limit: Use whole numbers (0 - 100) or money ($0 - $100)).
1.B.1.b. Determine the value of algebraic expressions with one unknown and one-operation (Assessment limit: Use +, - with whole numbers (0 - 1000) or x, / (with no remainders) with whole numbers (0 - 100) and the number for the unknown is no more than 9).
1.B.1.c. Use parenthesis to evaluate a numeric expression.

1.B.2. Expressions, Equations, and Inequalities: Identify, write, solve, and apply equations and inequalities.

1.B.2.a. Represent relationships using the appropriate relational symbols (>, <, =) and one operational symbol (+, -, x, / with no remainders) on either side (Assessment limit: Use whole numbers (0 - 400)).
1.B.2.b. Find the unknown in an equation use one operation (+, -, x, / with no remainders) (Assessment limit: Use whole numbers (0 - 2000)).

1.C.1. Numeric and Graphic Representations of Relationships: Locate points on a number line and in a coordinate grid.

1.C.1.a. Represent decimals and mixed numbers on a number line (Assessment limit: Use decimals with no more than two decimal places (0 - 100) or mixed numbers with denominators of 2, 3, 4, 5, 6, 8, or 10 (0 - 10)).
1.C.1.b. Create a graph in a coordinate plane (Assessment limit: Use the first quadrant and ordered pairs of whole numbers (0 - 50)).

MD.2.0. Knowledge Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.

2.A.1. Plane Geometric Figures: Analyze the properties of plane geometric figures.

2.A.1.a. Identify and describe relationships of lines and line segments in geometric figures or pictures (Assessment limit: Use parallel or perpendicular lines and line segments).
2.A.1.c. Identify and describe the radius and diameter of a circle.

2.A.2. Plane Geometric Figures: Analyze geometric relationships.

2.A.2.a. Compare and classify quadrilaterals by length of sides and types of angles (Include the angle symbol

2.D.1. Congruence and Similarity: Analyze similar figures to.

2.D.1.a. Identify or describe geometric figures as similar (Assessment limit: Use same shape and different size).

MD.3.0. Knowledge of Measurement: Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools, or technology for determining measurements.

3.A.1. Measurement Units: Read customary and metric measurement units.

3.A.1.a. Estimate and determine weight or mass (Assessment limit: Use the nearest ounce for weight and the nearest gram for mass).

3.B.1. Measurement Tools: Measure in customary and metric units.

3.B.1.a. Select and use appropriate tools and units (Assessment limit; Measure length to 1/8 inch with a ruler).

3.B.2. Measurement Units: Measure angles.

3.B.2.a. Measure a single angle and angles in regular polygons (Assessment limit: Measure an angle between 0 and 180 to the nearest degree).

3.C.1. Applications in Measurement: Estimate and apply measurement formulas.

3.C.1.a. Determine perimeter (Assessment limit: Use polygons with no more than 8 sides and whole numbers (0 -500)).
3.C.1.b. Determine area (Assessment limit: Use rectangles and whole numbers (0 - 200)).
3.C.1.c. Find the area and perimeter of any closed figure on a grid (Assessment limit: Use whole and partial units (0-50)).
3.C.1.d. Estimate and determine volume by counting.

3.C.2. Applications in Measurement: Calculate equivalent measurements.

3.C.2.a. Determine start, elapsed, and end time (Assessment limit: Use the nearest minute).
3.C.2.b. Determine equivalent units of measurement (Assessment limit: Use seconds, minutes, and hours or pints, quarts, and gallons).

MD.4.0. Knowledge of Statistics: Students will collect, organize, display, analyze, or interpret data to make decisions or predictions.

4.B.1. Data Analysis: Analyze data.

4.B.1.a. Interpret and compare data in stem & leaf plot (Assessment limit: Use no more than 20 data points and whole numbers (0 - 100)).
4.B.1.c. Interpret and compare data in double bar graphs (Assessment limit: Use no more than 4 categories and intervals of 1, 2, 5, or 10 and whole numbers (0 - 1000)).
4.B.1.d. Interpret and compare data in double line graphs (Assessment limit: Use y-axis with intervals of 1, 2, 5, or 10 and x-axis with no more than 10 time intervals and whole numbers (0 - 100)).
4.B.1.e. Read circle graphs (Assessment limit: Use no more than 4 categories and data in whole numbers or percents which are multiples of 5 and whole numbers (0 - 100)).

4.B.2. Data Analysis: Describe a set of data (mean, median, mode.

4.B.2.a. Determine the mean of a given data set or data display (Assessment limit: Use no more than 8 pieces of data and whole numbers without remainders (0 - 1000)).
4.B.2.b. Apply the range and measures of central tendency to solve a problem or answer a question.

MD.5.0. Knowledge of Probability: Students will use experimental methods or theoretical reasoning to determine probabilities to make predictions or solve problems about events whose outcomes involve random variation.

5.B.1. Theoretical Probability: Determine the probability of one simple event comprised of equally likely outcomes.

5.B.1.a. Make predictions and express the probability as a fraction (Assessment limit: Use a sample space of no more than 20 outcomes).

MD.6.0. Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil, or technology.

6.A.1. Knowledge of Number and Place Value: Apply knowledge of fractions, decimals, and place value.

6.A.1.a. Read, write, and represent fractions or mixed numbers using symbols, models, and words (Assessment limit: Use denominators that are factors of 24 and numbers (0 - 200)).
6.A.1.b. Read, write, and represent decimals using symbols, words, or models (Assessment limit: Use no more than 3 decimal places (0 - 100)).
6.A.1.c. Identify and determine equivalent forms of proper fractions (Assessment limit: Use denominators that are factors of 100, decimals, or percents (0 - 200)).
6.A.1.d. Compare and order fractions with or without using the symbols (<, >, or =) (Assessment limit: Use no more than 4 fractions or mixed numbers with denominators that are factors of 100 and numbers (0 - 100)).
6.A.1.e. Compare, order, and describe decimals with or without using the symbols (<, >, or =) (Assessment limit: Use no more than 4 decimals with no more than 3 decimal places and numbers (0 - 100)).

6.B.1. Number Theory: Apply number relationships.

6.B.1.b. Identify and use rules of divisibility (Assessment limit: Use rules for 2, 3, 5, 9, or 10 and whole numbers (0 - 10,000)).
6.B.1.c. Identify the greatest common factor (Assessment limit: Use 2 numbers whose GCF is no more than 10 and whole numbers (0 - 100)).

6.C.1. Number Computation: Analyze number relations and compute.

6.C.1.a. Multiply whole numbers (Assessment limit: Use a 3-digit factor by another factor with no more than 2-digits and whole numbers (0 - 10,000)).
6.C.1.b. Divide whole numbers (Assessment limit: Use a dividend with no more than a 4-digits by a 2-digit divisor and whole numbers (0 - 9,999)).
6.C.1.c. Interpret quotients and remainders mathematically and in the context of a problem (Assessment limit: Use dividend with no more than a 3-digits by a 1 or 2 digit divisor and whole numbers (0 - 999)).
6.C.1.d. Add and subtract proper fractions and mixed numbers with answers in simplest form (Assessment limit: Use denominators as factors of 24 and numbers (0 - 20)).
6.C.1.e. Add decimals including money (Assessment limit: Use no more than 4 addends and no more than 3 decimal places in each addend and numbers (0 - 1000)).
6.C.1.f. Subtract decimals including money (Assessment limit: Use a minuend and subtrahend with no more than 3 decimal places and numbers (0 - 1000)).
6.C.1.g. Multiply decimals (Assessment limit: Use a decimal in monetary notation by a single digit whole number and numbers (0 - 100)).

6.C.2. Number Computation: Estimation.

6.C.2.a. Determine the approximate sum and difference of decimals (Assessment limit: Use no more than 3 addends with no more than 3 decimal places in each addend or the difference of a minuend and subtrahend with no more than 3 decimal places and numbers (0 - 1000)).
6.C.2.b. Determine approximate product and quotient of whole numbers (Assessment limit: Use a 1-digit factor with the other factor having no more than 3 digits or a dividend having no more than 3 digits and a 1-digit divisor and whole numbers (0 - 5000)).
6.C.2.c. Determine the approximate product of decimals (Assessment limit: Use a decimal in monetary notation and a single digit whole number (0 - 100)).

MD.7.0. Processes of Mathematics: Students demonstrate the processes of mathematics by making connections and applying reasoning to solve problems and to communicate their findings.

7.A.1. Problem Solving: Apply a variety of concepts, processes, and skills to solve problems

7.A.1.c. Make a plan to solve a problem
7.A.1.d. Apply a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
7.A.1.e. Select a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
7.A.1.f. Identify alternative ways to solve a problem

7.C.1. Communications: Present mathematical ideas using words, symbols, visual displays, or technology

7.C.1.a. Use multiple representations to express concepts or solutions
MultiplicationWorksheets :3Study Guides :1Exponents to Repeated MultiplicationWorksheets :3Study Guides :1Add/Subtract DecimalsWorksheets :4Study Guides :1MultiplicationWorksheets :6Study Guides :1Add/Subtract FractionsFreeWorksheets :3Study Guides :1Simplify FractionsWorksheets :3Study Guides :1Place ValueWorksheets :6Study Guides :1Proportions/Equivalent FractionsWorksheets :3Study Guides :1Distributive PropertyWorksheets :3Study Guides :1Fractions/DecimalsWorksheets :3Study Guides :1Exponential & Scientific NotationWorksheets :6Study Guides :1Evaluate Open SentencesWorksheets :3Study Guides :1AlgebraWorksheets :3Study Guides :1Ordering DecimalsWorksheets :6Study Guides :1Compare and Order FractionsWorksheets :3Study Guides :1Common FactorsWorksheets :3Study Guides :1PercentsWorksheets :6Study Guides :1Whole Numbers to MillionsWorksheets :3Study Guides :1Equivalent FractionsWorksheets :3Study Guides :1Compare and Order NumbersWorksheets :3Study Guides :1Whole Numbers to TrillionsWorksheets :3Study Guides :1Commutative/Associative PropertiesWorksheets :4Study Guides :1Order of OperationsWorksheets :7Study Guides :1Percent, Rate, BaseWorksheets :3Study Guides :1Evaluate ExponentsWorksheets :3Study Guides :1Repeated Multiplication to ExponentsWorksheets :3Study Guides :1Add/Subtract FractionsWorksheets :3Study Guides :1Ordering FractionsWorksheets :6Study Guides :1Mixed NumbersWorksheets :4Study Guides :1Multiply/Divide FractionsWorksheets :4Study Guides :1EstimationWorksheets :3Study Guides :1ExponentsWorksheets :3Study Guides :1Simplify FractionsWorksheets :3Study Guides :1EstimationWorksheets :3Study Guides :1RoundingWorksheets :3Study Guides :1RatioWorksheets :7Study Guides :1Adding FractionsWorksheets :3Study Guides :1Multiply FractionsWorksheets :3Study Guides :1Number PatternsWorksheets :3Study Guides :1DivisionWorksheets :3Study Guides :1ProbabilityWorksheets :4Study Guides :1ProbabilityWorksheets :3Study Guides :1PatternsWorksheets :3Study Guides :1Positive & Negative IntegersWorksheets :4Study Guides :1Ordering FractionsWorksheets :3Study Guides :1Subtracting FractionsWorksheets :3Study Guides :1Fractions/DecimalsWorksheets :3Study Guides :1Odd/EvenWorksheets :3Study Guides :1MoneyWorksheets :6Study Guides :1RatioWorksheets :3Study Guides :1Multi-step Word ProblemsWorksheets :3Study Guides :1Number LineWorksheets :3Study Guides :1Greater Than/Less ThanWorksheets :3Study Guides :1EstimationWorksheets :3Study Guides :1DivisionWorksheets :6Study Guides :1PercentageWorksheets :6Study Guides :1Commutative/Associative PropertiesWorksheets :3Study Guides :14 Digit AdditionFreeWorksheets :3Study Guides :1Pattern BlocksWorksheets :3Study Guides :1Simple ProportionsWorksheets :3Study Guides :1DecimalsWorksheets :3Study Guides :1Add/Subtract/Multiply/Divide DecimalsWorksheets :4Study Guides :1PatternsWorksheets :3Study Guides :1Word ProblemsWorksheets :3Study Guides :1Less Than, Greater ThanWorksheets :3Study Guides :1Compare and Order NumbersWorksheets :3Study Guides :1Decimals/FractionsWorksheets :4Study Guides :1PercentsWorksheets :3Study Guides :1Multiple Representation of Rational NumbersWorksheets :3Study Guides :1Rounding NumbersWorksheets :3Study Guides :1Place ValueWorksheets :4Study Guides :1More MultiplicationWorksheets :3Study Guides :1MultiplicationWorksheets :7Study Guides :1Add/Subtract FractionsWorksheets :4Study Guides :1Addition/SubtractionWorksheets :3Study Guides :1DivisionWorksheets :4Study Guides :1Division/MultiplicationWorksheets :6Study Guides :1FractionsWorksheets :4Study Guides :1Number Words and Place ValueWorksheets :3Study Guides :1Adding FractionsWorksheets :3Study Guides :1Order of OperationsWorksheets :3Study Guides :1
7.C.1.d. Express solutions using concrete materials
MultiplicationWorksheets :3Study Guides :1Exponents to Repeated MultiplicationWorksheets :3Study Guides :1Add/Subtract DecimalsWorksheets :4Study Guides :1MultiplicationWorksheets :6Study Guides :1Add/Subtract FractionsFreeWorksheets :3Study Guides :1Simplify FractionsWorksheets :3Study Guides :1Place ValueWorksheets :6Study Guides :1Proportions/Equivalent FractionsWorksheets :3Study Guides :1Distributive PropertyWorksheets :3Study Guides :1Fractions/DecimalsWorksheets :3Study Guides :1Exponential & Scientific NotationWorksheets :6Study Guides :1Evaluate Open SentencesWorksheets :3Study Guides :1AlgebraWorksheets :3Study Guides :1Ordering DecimalsWorksheets :6Study Guides :1Compare and Order FractionsWorksheets :3Study Guides :1Common FactorsWorksheets :3Study Guides :1PercentsWorksheets :6Study Guides :1Whole Numbers to MillionsWorksheets :3Study Guides :1Equivalent FractionsWorksheets :3Study Guides :1Compare and Order NumbersWorksheets :3Study Guides :1Whole Numbers to TrillionsWorksheets :3Study Guides :1Commutative/Associative PropertiesWorksheets :4Study Guides :1Order of OperationsWorksheets :7Study Guides :1Percent, Rate, BaseWorksheets :3Study Guides :1Evaluate ExponentsWorksheets :3Study Guides :1Repeated Multiplication to ExponentsWorksheets :3Study Guides :1Add/Subtract FractionsWorksheets :3Study Guides :1Ordering FractionsWorksheets :6Study Guides :1Mixed NumbersWorksheets :4Study Guides :1Multiply/Divide FractionsWorksheets :4Study Guides :1EstimationWorksheets :3Study Guides :1ExponentsWorksheets :3Study Guides :1Simplify FractionsWorksheets :3Study Guides :1EstimationWorksheets :3Study Guides :1RoundingWorksheets :3Study Guides :1RatioWorksheets :7Study Guides :1Adding FractionsWorksheets :3Study Guides :1Multiply FractionsWorksheets :3Study Guides :1Number PatternsWorksheets :3Study Guides :1DivisionWorksheets :3Study Guides :1ProbabilityWorksheets :4Study Guides :1ProbabilityWorksheets :3Study Guides :1PatternsWorksheets :3Study Guides :1Positive & Negative IntegersWorksheets :4Study Guides :1Ordering FractionsWorksheets :3Study Guides :1Subtracting FractionsWorksheets :3Study Guides :1Fractions/DecimalsWorksheets :3Study Guides :1Odd/EvenWorksheets :3Study Guides :1MoneyWorksheets :6Study Guides :1RatioWorksheets :3Study Guides :1Multi-step Word ProblemsWorksheets :3Study Guides :1Number LineWorksheets :3Study Guides :1Greater Than/Less ThanWorksheets :3Study Guides :1EstimationWorksheets :3Study Guides :1DivisionWorksheets :6Study Guides :1PercentageWorksheets :6Study Guides :1Commutative/Associative PropertiesWorksheets :3Study Guides :14 Digit AdditionFreeWorksheets :3Study Guides :1Pattern BlocksWorksheets :3Study Guides :1Simple ProportionsWorksheets :3Study Guides :1DecimalsWorksheets :3Study Guides :1Add/Subtract/Multiply/Divide DecimalsWorksheets :4Study Guides :1PatternsWorksheets :3Study Guides :1Word ProblemsWorksheets :3Study Guides :1Less Than, Greater ThanWorksheets :3Study Guides :1Compare and Order NumbersWorksheets :3Study Guides :1Decimals/FractionsWorksheets :4Study Guides :1PercentsWorksheets :3Study Guides :1Multiple Representation of Rational NumbersWorksheets :3Study Guides :1Rounding NumbersWorksheets :3Study Guides :1Place ValueWorksheets :4Study Guides :1More MultiplicationWorksheets :3Study Guides :1MultiplicationWorksheets :7Study Guides :1Add/Subtract FractionsWorksheets :4Study Guides :1Addition/SubtractionWorksheets :3Study Guides :1DivisionWorksheets :4Study Guides :1Division/MultiplicationWorksheets :6Study Guides :1FractionsWorksheets :4Study Guides :1Number Words and Place ValueWorksheets :3Study Guides :1Adding FractionsWorksheets :3Study Guides :1Order of OperationsWorksheets :3Study Guides :1
7.C.1.e. Express solutions using pictorial, tabular, graphical, or algebraic methods

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