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Pennsylvania Math Standards - 3rd Grade
MathScore aligns to the Pennsylvania Math Standards for 3rd Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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Number, Number Systems, and Number Relationships
2.1.3A. Count using whole numbers (to 10,000) and by 2's, 3's, 5's, 10's, 25's and 100's. (Counting Squares , Skip Counting , Skip Counting 2 )2.1.3B. Use whole numbers and fractions to represent quantities. (Counting Squares )
2.1.3C. Represent equivalent forms of the same number through the use of concrete objects, drawings, word names and symbols. (Place Value to 1000 , Place Value )
2.1.3D. Use drawings, diagrams or models to show the concept of fraction as part of a whole. (Fraction Pictures )
2.1.3E. Count, compare and make change using a collection of coins and one-dollar bills. (Making Change 2 , Counting Money )
2.1.3F. Apply number patterns (even and odd) and compare values of numbers on the hundred board. (Odd or Even )
2.1.3G. Use concrete objects to count, order and group. (Requires outside materials )
2.1.3H. Demonstrate an understanding of one-to-one correspondence.
2.1.3I. Apply place-value concepts and numeration to counting, ordering and grouping. (Place Value to 1000 , Place Value , Number Comparison , Order Numbers to 1000 , Order Numbers )
2.1.3J. Estimate, approximate, round or use exact numbers as appropriate. (Rounding Numbers )
2.1.3K. Describe the inverse relationship between addition and subtraction. (Inverse Equations 1 )
2.1.3L. Demonstrate knowledge of basic facts in four basic operations. (Fast Addition , Fast Addition Reverse , Fast Subtraction , Beginner Multiplication , Fast Multiplication , Fast Multiplication Reverse , Multiplication Facts Strategies , Fast Division , Mixed Addition and Subtraction )
Computation and Estimation
2.2.3A. Apply addition and subtraction in everyday situations using concrete objects. (Requires outside materials )2.2.3B. Solve single- and double-digit addition and subtraction problems with regrouping in vertical form. (Addition Grouping , Long Addition to 1000 , Long Subtraction to 1000 )
2.2.3C. Demonstrate the concept of multiplication as repeated addition and arrays. (Understanding Multiplication )
2.2.3D. Demonstrate the concept of division as repeated subtraction and as sharing. (Understanding Division )
2.2.3E. Use estimation skills to arrive at conclusions.
2.2.3F. Determine the reasonableness of calculated answers.
2.2.3G. Explain addition and subtraction algorithms with regrouping. (Addition Grouping , Long Addition to 1000 , Long Subtraction to 1000 )
Measurement and Estimation
2.3.3A. Compare measurable characteristics of different objects on the same dimensions (e.g., time, temperature, area, length, weight, capacity, perimeter).2.3.3B. Determine the measurement of objects with non-standard and standard units (e.g., US customary and metric).
2.3.3C. Determine and compare elapsed times. (Time Intervals )
2.3.3D. Tell time (analog and digital) to the minute. (Telling Time )
2.3.3E. Determine the appropriate unit of measure.
2.3.3F. Use concrete objects to determine area and perimeter. (Requires outside materials )
2.3.3G. Estimate and verify measurements.
2.3.3H. 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).
Mathematical Reasoning and Connections
2.4.3A. Make, check and verify predictions about the quantity, size and shape of objects and groups of objects.2.4.3B. Use measurements in everyday situations (e.g., determine the geography of the school building).
Mathematical Problem Solving and Communication
2.5.3A. Use appropriate problem-solving strategies (e.g., guess and check, working backwards).2.5.3B. Determine when sufficient information is present to solve a problem and explain how to solve a problem.
2.5.3C. Select and use an appropriate method, materials and strategy to solve problems, including mental mathematics, paper and pencil and concrete objects. (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 )
Statistics and Data Analysis
2.6.3A. Gather, organize and display data using pictures, tallies, charts, bar graphs and pictographs.2.6.3B. Formulate and answer questions based on data shown on graphs. (Tally and Pictographs , Bar Graphs )
2.6.3C. Predict the likely number of times a condition will occur based on analyzed data.
2.6.3D. Form and justify an opinion on whether a given statement is reasonable based on a comparison to data.
Probability and Predictions
2.7.3A. Predict and measure the likelihood of events and recognize that the results an experiment may not match predicted outcomes.2.7.3B. Design a fair and an unfair spinner.
2.7.3C. List or graph the possible results of experiment.
2.7.3D. Analyze data using the concepts of largest, smallest, most often, least often and middle. (Tally and Pictographs , Bar Graphs )
Algebra and Functions
2.8.3A. Recognize, describe, extend, create and replicate a variety of patterns including attribute, activity, number and geometric patterns. (Patterns: Numbers , Patterns: Shapes )2.8.3B. Use concrete objects and trial and error to solve number sentences and check if solutions are sensible and accurate. (Requires outside materials )
2.8.3C. Substitute a missing addend in a number sentence. (Missing Term )
2.8.3D. Create a story to match a given combination of symbols and numbers.
2.8.3E. Use concrete objects and symbols to model the concepts of variables, expressions, equations and inequalities. (Algebraic Terms , Requires outside materials )
2.8.3F. Explain the meaning of solutions and symbols.
2.8.3G. Use a table or a chart to display information.
2.8.3H. Describe and interpret the data shown in tables and charts.
2.8.3I. Demonstrate simple function rules. (Function Tables , Function Tables 2 )
2.8.3J. Analyze simple functions and relationships and locate points on a simple grid.
Geometry
2.9.3A. Name and label geometric shapes in two and three dimensions (e.g., circle/sphere, square/cube, triangle/pyramid, rectangle/prism). (Geometric Shapes )2.9.3B. Build geometric shapes using concrete objects (e.g., manipulatives). (Requires outside materials )
2.9.3C. Draw two- and three-dimensional geometric shapes and construct rectangles, squares and triangles on the geoboard and on graph paper satisfying specific criteria. (Requires outside materials )
2.9.3D. Find and describe geometric figures in real life.
2.9.3E. Identify and draw lines of symmetry in geometric figures.
2.9.3F. Identify symmetry in nature.
2.9.3G. Fold paper to demonstrate the reflections about a line. (Requires outside materials )
2.9.3H. Show relationships between and among figures using reflections.
2.9.3I. Predict how shapes can be changed by combining or dividing them.
Trigonometry
2.10.3A. Identify right angles in the environment.2.10.3B. Model right angles and right triangles using concrete objects. (Requires outside materials )
Concepts of Calculus
2.11.3A. Identify whole number quantities and measurements from least to most and greatest value. (Order Numbers to 1000 , Order Numbers )2.11.3B. Identify least and greatest values represented in bar graphs and pictographs. (Tally and Pictographs , Bar Graphs )
2.11.3C. Categorize rates of change as faster and slower.
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