Maryland State Standards for Mathematics: Grade 3

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.a. Represent and analyze numeric patterns using skip counting (Assessment limit: Use 2, 5, 10, or 100 starting with any whole number (0 - 1000).

1.A.1.b. Represent and analyze numeric patterns using skip counting (Assessment limit: Use 3 or 4 starting with 0, 1, 2, 3, or 4 (0 - 30).

1.A.1.c. Represent and analyze numeric patterns using skip counting backward (Assessment limit: Use 10 or 100 starting with any whole number (0 - 1000).

1.A.1.d. Complete a function table using a given addition or subtraction rule.

1.A.2. Patterns and Functions: Identify, describe, extend, and create non-numeric patterns or repeating..

1.A.2.a. Represent and analyze growing patterns using symbols, shapes, designs, or pictures (Assessment limit: Start at the beginning, show at least 3 levels but no more than 5 levels, and ask for the next level).

1.A.2.b. Represent and analyze repeating patterns using symbols, shapes, designs, or pictures (Assessment limit: Use no more than 4 objects in the core of the pattern).

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

1.B.1.a. Represent numeric quantities using operational symbols (+, -, x, /) (Assessment limit: Use operational symbols (+ or -) and whole numbers (0 - 50)).

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

1.B.2.a. Represent relationships using appropriate relational symbols (<, >, or =) and operational symbols (+, -, x, /) on either side (Assessment limit: Use operations symbols (+ or -) and whole numbers (0 - 1000)).

1.B.2.b. Find the missing number (unknown in a number sentence (equation using operational symbols (+, -, x, /) (Assessment limit: Use one operational symbol (+ or -) and whole numbers (0 - 100)).

1.B.2.c. Find the missing number(s) (unknown on one or both sides of a number sentence (equation).

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

1.C.1.a. Represent whole numbers on a number line (Assessment limit: Use whole numbers (0-500)).

1.C.1.b. Represent proper fractions on a number line (Assessment limit: Use fractions that have denominators of 2, 3, or 4).

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 points, lines, line segments, rays, and angles.

2.A.1.b. Identify and describe polygons (Assessment limit: Use triangles, quadrilaterals, pentagons, hexagons, or octagons and the number of sides or vertices).

2.A.1.c. Identify and describe quadrilaterals (Assessment limit: Use squares, rectangles, rhombi, parallelograms, and trapezoids and the length of sides).

2.A.1.d. Identify triangles, rectangles, or squares as part of a composite figure (Assessment limit: Use a combination of 2 of the stated polygons).

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

2.A.2.a. Identify right angles.

2.B.1. Solid Geometric Figures: Analyze the properties of solid geometric figures.

2.B.1.a. Identify and describe cubes, rectangular prisms, and triangular prisms (Assessment limit: Use cubes and the number of edges, faces, vertices, or shape of each face).

2.C.1. Representation of Geometric Figures: Represent plane geometric figures.

2.C.1.a. Sketch triangles, quadrilaterals, pentagons, hexagons, octagons, and circles.

2.D.1. Congruence: Analyze congruent figures.

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

2.E.1. Transformations: Analyze a transformation.

2.E.1.a. Identify and describe the results of a slide, flip, and turn (Assessment limit: Use horizontal slide, flip over a vertical line, or turn of 900 clockwise around a given point of a geometric figure or picture).

2.E.2. Transformations: Analyze geometric figures and pictures.

2.E.2.a. Identify and describe symmetry (Assessment limit: Use no more than 4 lines of symmetry).

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 length (Assessment limit: Use the nearest centimeter or 1/2 inch).

3.A.1.b. Tell time in days, hours, minutes, and seconds (Assessment limit: Use the nearest minute and an analog clock).

3.A.1.c. Estimate and read temperature (Assessment limit: Use the nearest degree (degrees F or degrees C).

3.A.1.d. Estimate and determine weight of objects (Assessment limit: Use the nearest pound or ounce).

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

3.B.1.a. Measure length of objects and pictures of objects using a ruler, a tape measure, a yardstick, or a meter stick (Assessment limit: Use a ruler and the nearest centimeter or 1/2 inch).

3.B.1.b. Measure capacity of containers to the nearest cup, pint, quart, gallon, milliliter, and liter using graduated containers.

3.B.1.c. Measure weight of objects to the nearest ounce and pound and mass of objects to the nearest gram and kilogram.

3.C.1. Applications in Measurement: Apply measurement concepts.

3.C.1.a. Estimate and determine the perimeter of geometric figures and pictures on a grid (Assessment limit: Use counting and whole numbers (0 - 50)).

3.C.1.b. Estimate and determine the area of geometric figures and pictures on a grid (Assessment limit: Use counting and whole numbers (0 - 50)).

3.C.1.c. Estimate and find the volume of rectangular prisms.

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

3.C.2.a. Determine equivalent units of length (Assessment limit: Use 12 inches = 1 foot and 3 feet = 1 yard and whole numbers (0 - 30)).

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

4.A.1. Data Displays: Collect, organize, and display data.

4.A.1.a. Collect data by conducting surveys.

4.A.1.b. Organize and display data to make tables using a variety of categories and sets of data (Assessment limit: Use no more than 4 categories of one set of data and whole numbers (0 - 1000)).

4.A.1.c. Organize and display data to make pictographs using a variety of scales (Assessment limit: Use scales of 2:1, 4:1, or 10:1 and whole numbers (0 - 100)).

4.A.1.d. Organize and display data to make single bar graphs using a variety of categories and intervals (Assessment limit: Use no more than 4 categories of data with intervals of 1, 2, 5, or 10 and whole numbers (0 - 100)).

4.A.1.e. Organize and display data to make line plots using a variety of intervals.

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

4.B.1.a. Interpret data contained in tables using a variety of categories and intervals (Assessment limit: Use no more than 4 categories from one set of data and whole numbers (0 - 1000)).

4.B.1.b. Interpret data contained in pictographs using a variety of categories and intervals (Assessment limit: Use scales of 2:1, 4:1, or 10:1 and whole numbers (0 - 100)).

4.B.1.c. Interpret data contained in single bar graphs using a variety of categories and intervals (Assessment limit: Use no more than 4 categories of data, intervals of 1, 2, 5, or 10 and whole numbers (0 - 100)).

4.B.1.d. Interpret data contained in line plots using a variety of intervals.

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.A.1. Sample Space: Identify possible outcomes.

5.A.1.a. Identify possible outcomes that make up the sample space for a given real life situation.

5.A.1.b. Identify possible outcomes that make up the sample space for a given experiment such as: flipping a coin, spinning a spinner, rolling a number cube.

5.B.1. Theoretical Probability: Identify the probability of an event.

5.B.1.a. Describe the probability of an event using words (Assessment limit: Use probability terms of more (or most) likely, less (or least) likely, or equally likely).

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 whole numbers and place value.

6.A.1.a. Read, write, and represent whole numbers using symbols, words, and models (Assessment limit: Use whole numbers (0 - 10,000)).

6.A.1.b. Express whole numbers in expanded form (Assessment limit: Use whole numbers (0 - 10,000)).

6.A.1.c. Identify the place value of a digit in a whole number (Assessment limit: Use whole numbers (0 - 9,999)).

6.A.1.d. Compare, order, and describe whole numbers with or without using relational symbols (<, >, =) (Assessment limit: Use no more than four whole numbers (0 - 10,000)).

6.A.2. Knowledge of Number and Place Value: Apply knowledge of fractions.

6.A.2.a. Read, write, and represent fractions as parts of a single region using symbols, words, and models (Assessment limit: Use fractions with denominators of 2, 3, or 4).

6.A.2.b. Read, write, and represent fractions as parts of a set using symbols, words, and models (Assessment limit: Use fractions with denominators of 2, 3, or 4, and use sets of 2, 3, 4 items, respectively).

6.A.3. Knowledge of Number and Place Value: Apply knowledge of money.

6.A.3.a. Represent money amounts in different ways (Assessment limit: Use money amounts ($0 - $100)).

6.A.3.b. Determine the value of a given set of mixed currency (Assessment limit: Use coins and bills ($0 - $100)).

6.A.3.c. Compare the value of two sets of mixed currency.

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

6.B.1.a. Identify and describe whole numbers as even or odd (Assessment limit: Use whole numbers (0 - 100)).

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

6.C.1.a. Add numbers using a variety of strategies (Assessment limit: Use no more than 3 addends, with no more than 3 digits in each addend and whole numbers (0 - 1000)).

6.C.1.b. Subtract numbers using a variety of strategies (Assessment limit: Use no more than 3 digits in the minuend or subtrahend and whole numbers (0 - 999)).

6.C.1.c. Solve addition and subtraction word problems.

6.C.1.d. Add and subtract money amounts.

6.C.1.e. Identify and apply the concept of inverse operations to addition and subtraction.

6.C.1.f. Represent multiplication and division basic facts using number sentences, picture, and drawings (Assessment limit: Use basic facts of no more than 9 x 9 = 81).

6.C.1.g. Identify and use properties of multiplication (Assessment limit: Use the properties of commutative, identity, or zero and whole numbers (0 - 20)).

6.C.1.h. Multiply a one-digit factor by a two-digit factor using models, pictures, and drawings.

6.C.1.i. Divide a two-digit dividend by a one-digit divisor using models, pictures, and drawings.

6.C.1.j. Identify and apply the concept of inverse operations to multiplication and division.

6.C.1.k. Write a word problem based on multiplication or division number sentences.

6.C.2. Number Computation: Estimation.

6.C.2.a. Determine the reasonableness of sums and differences.

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.a. Identify the question in the problem

7.A.1.b. Decide if enough information is present to solve the problem

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.A.1.g. Show that a problem might have multiple solutions or no solution

7.A.1.h. Extend the solution of a problem to a new problem situation

7.B.1. Reasoning: Justify ideas or solutions with mathematical concepts or proofs

7.B.1.a. Use inductive or deductive reasoning

7.B.1.b. Make or test generalizations

7.B.1.c. Support or refute mathematical statements or solutions

7.B.1.d. Use methods of proof, i.e., direct, indirect, paragraph, or contradiction

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

7.C.1.b. Express mathematical ideas orally

7.C.1.c. Explain mathematically ideas in written form

7.C.1.d. Express solutions using concrete materials

7.C.1.e. Express solutions using pictorial, tabular, graphical, or algebraic methods

7.C.1.f. Explain solutions in written form

7.C.1.g. Ask questions about mathematical ideas or problems

7.C.1.h. Give or use feedback to revise mathematical thinking

7.D.1. Connections: Relate or apply mathematics within the discipline, to other disciplines, and to life

7.D.1.a. Identify mathematical concepts in relationship to other mathematical concepts

7.D.1.b. Identify mathematical concepts in relationship to other disciplines

7.D.1.c. Identify mathematical concepts in relationship to life

7.D.1.d. Use the relationship among mathematical concepts to learn other mathematical concepts