# Pennsylvania State Standards for Mathematics: Grade 3

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PA.2.1.3. Numbers, Number Systems and Number Relationships: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.1.3.A. Apply one-to-one correspondence and number patterns to count up and count back and to compare values of whole numbers and values of money.

2.1.3.B. Represent equivalent forms of the same number through the use of concrete objects, drawings, word names, and symbols.

2.1.3.C. Use drawings, diagrams or models to show the concept of fraction as part of a whole.

2.1.3.D. Apply place value concepts and base-ten numeration to order and compare whole numbers.

2.1.3.E. Apply number patterns even and odd, factors and multiples to represent numbers in various ways.

2.1.3.F. Understand the concepts of addition and subtraction and use the inverse relationships between addition and subtraction to determine unknown quantities in equations.

2.1.3.G. Use concrete objects to count, order and group.

2.1.3.H. Demonstrate an understanding of one-to-one correspondence.

2.1.3.I. Apply place-value concepts and numeration to counting, ordering and grouping.

2.1.3.J. Estimate, approximate, round or use exact numbers as appropriate.

2.1.3.K. Describe the inverse relationship between addition and subtraction.

2.1.3.L. Demonstrate knowledge of basic facts in four basic operations.

PA.2.2.3. Computation and Estimation: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.2.3.A. Develop fluency in the use of basic facts for the four operations.

2.2.3.B. Add and subtract single- and double-digit numbers with regrouping and triple-digit numbers, without regrouping including problems with money.

2.2.3.C. Intentionally Blank

2.2.3.D. Estimate values, sums, and differences of quantities and conclude the reasonableness of those estimates.

2.2.3.E. Use estimation skills to arrive at conclusions.

2.2.3.F. Determine the reasonableness of calculated answers.

2.2.3.G. Explain addition and subtraction algorithms with regrouping.

PA.2.3.3. Measurement and Estimation: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.3.3.A. Demonstrate an understanding of measurable characteristics and the need to quantify those characteristics.

2.3.3.B. Identify a measurable characteristic of an object, select an appropriate standard or non-standard unit of measure and tool, and determine the measurement to a specified level of accuracy.

2.3.3.C. Tell time on an analog and digital clock, identify times of day and night as a.m. and p.m., and calculate elapsed time.

2.3.3.D. Identify equivalent measurements within the same system.

2.3.3.E. Intentionally Blank

2.3.3.F. Estimate and verify measurements of length, area, weight, and capacity.

2.3.3.G. Estimate and verify measurements.

2.3.3.H. Demonstrate that a single object has different attributes that can be measured in different ways (e.g., length, mass, weight, time, area, temperature, capacity, perimeter).

PA.2.4.3. Mathematical Reasoning and Connections: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.4.3.A. Use models and number facts to draw conclusions and explain reasons for conclusions.

2.4.3.B. Interpret statements made with precise language of logic (e.g., all, or, every, none, some, or, many.)

PA.2.5.3. Mathematical Problem Solving and Communication: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.5.3.A. Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense, and explain how the problem was solved in grade appropriate contexts.

2.5.3.B. Use appropriate mathematical vocabulary when explaining how to solve a problem.

2.5.3.C. Select and use an appropriate method, materials and strategy to solve problems, including mental mathematics, paper and pencil and concrete objects.

PA.2.6.3. Statistics and Data Analysis: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.6.3.A. Gather data from surveys and observations within the classroom or homes.

2.6.3.B. Organize and display data using pictures, tallies, charts, bar graphs and pictographs.

2.6.3.C. Describe data displayed in a diagram (e.g., Venn) a graph or a table.

2.6.3.D. Analyze data shown in tables, charts, diagrams, and graphs; compare the data from two categories displayed in a graph and compare representations of a set of data in different graphs.

PA.2.7.3. Probability and Predictions: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.7.3.A. Determine the chance of an event occurring by performing simulations with concrete devices (e.g., dice, spinner).

2.7.3.B. Determine whether different outcomes of the same event are equally likely or not equally likely.

2.7.3.C. Write the likelihood of an event as a fraction.

2.7.3.D. List or graph the possible results of an experiment.

PA.2.8.3. Algebra and Functions: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.8.3.A. Use the concept of equality and concrete objects to demonstrate understanding of commutative, associative, and identity properties.

2.8.3.B. Use concrete objects and trial and error to solve number sentences (equations and inequalities).

2.8.3.C. Recognize, describe, extend, create, and replicate a variety of patterns including attribute, activity, number, and geometric patterns.

2.8.3.D. Use a rule to find a missing value and determine a rule for a given pattern.

2.8.3.E. Use concrete objects or combinations of symbols and numbers to represent expressions, equations, and inequalities that model mathematical situations.

2.8.3.F. Describe data represented in a table, chart, or number sentence and/or create a story that matches that data.

2.8.3.G. Use a table or a chart to display information.

2.8.3.H. Describe and interpret the data shown in tables and charts.

2.8.3.I. Demonstrate simple function rules.

2.8.3.J. Analyze simple functions and relationships and locate points on a simple grid.

PA.2.9.3. Geometry: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.9.3.A. Name, describe and draw/build 2- and 3- dimensional shapes

2.9.3.B. Identify and draw lines of symmetry.

2.9.3.C. Identify locations of points with whole number coordinates on a number line or on a 2- dimensional coordinate system.

2.9.3.D. Find and describe geometric figures in real life.

2.9.3.E. Identify and draw lines of symmetry in geometric figures.

2.9.3.F. Identify symmetry in nature.

2.9.3.G. Fold paper to demonstrate the reflections about a line.

2.9.3.H. Show relationships between and among figures using reflections.

2.9.3.I. Predict how shapes can be changed by combining or dividing them.

PA.2.10.3. Trigonometry: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.10.3.A. Identify right angles in the environment.

2.10.3.B. Intentionally Blank

PA.2.11.3. Concepts of Calculus: Pennsylvania's public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:

2.11.3.A. Identify whole number quantities and measurements from least to most and greatest value.

2.11.3.B. Intentionally Blank

2.11.3.C. Intentionally Blank

2.11.3.D. Continue a pattern of numbers or objects that could be extended infinitely.

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