# Pennsylvania Math Expectations

• Standards for Mathematical Practice

• Make sense of problems and persevere in solving them.
• Reason abstractly and quantitatively.
• Construct viable arguments and critique the reasoning of others.
• Model with mathematics.
• Use appropriate tools strategically.
• Attend to precision.
• Look for and make use of structure.
• Look for and make sense of regularity in repeated reasoning.

Numbers and Operations:  Base Ten and Fractions

• Apply place‐value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals.
• Extend an understanding of operations with whole numbers to perform operations including decimals.
• Use the understanding of equivalency to add and subtract fractions.
• Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Operations and Algebraic Thinking

• Interpret and evaluate numerical expressions using order of operations.
• Analyze patterns and relationships using two rules.

Geometry

• Graph points in the first quadrant on the coordinate plane and interpret these points when solving real world and mathematical problems.
• Classify two‐dimensional figures into categories based on an understanding of their properties.

Measurement and Data

• Solve problems using conversions within a given measurement system.
• Represent and interpret data using appropriate scale.
• Solve problems involving computation of fractions using information provided in a line plot.
• Apply concepts of volume to solve problems and relate volume to multiplication and to addition.

Pennsylvania Department of Education.  Academic Standards for Mathematics.  March, 2014.