1st GRADE MATHEMATICS Primary 1 Mathematics The National Council of Teachers of Mathematics (NCTM) has provided the educational community with a foundation of mathematical content and processes from which to build appropriate curricular opportunities for all students. The Mathematics subtest is an assessment of student proficiency that builds on this foundation while integrating problem solving. Each item is classified first by its mathematics content, then according to the mathematics process it assesses. SAT 10 Cluster Common Core Standard Clusters provide mathematical content that measures student competency. These standards define what students should understand and be able to do in their study of 1st grade mathematics. Number Sense and Operations Demonstrate understanding of the meaning and use of numbers, the various representations of numbers, number systems, and the relationships between and among numbers. Demonstrate understanding of the meanings of operations, the relationship between operations, and the practical settings in which specific operation or a set of operations is appropriate. Operations and Algebraic Expressions (1.OA) Represent and solve problems involving addition and subtraction. Understand and apply properties of operations and the relationship between addition and subtraction. Add and subtract within 20. Work with addition and subtraction equations. Number and Operations in Base Ten (1.NBT) Extend the counting sequence. Understand place value. Use place value understanding and properties of operations to add and subtract. Operations and Algebraic Expressions (1.OA) Understand and apply properties of operations and the relationship between addition and subtraction. Work with addition and subtraction equations. Number and Operations in Base Ten (1.NBT) Extend the counting sequence. Understand place value. Use place value understanding and properties of operations to add and subtract. Patterns, Relationships, and Algebra Describe, complete, continue, and demonstrate understanding of patterns involving numbers, symbols, and geometric figures. Patterns with numbers include those found in lists, tables, etc. Demonstrate understanding of elementary algebraic principles as found in relationships between mathematical situations and algebraic symbolism. Data, Statistics, and Probability Describe, interpret, and make predictions based on the analysis of data presented in a variety of ways, including graphs, plots, tables, and lists. Demonstrate understanding of basic probability concepts. Geometry and Measurement Demonstrate understanding of the characteristics and properties of plane and solid figures, coordinate geometry, and spatial reasoning. Demonstrate understanding of the meaning and use of various measurement systems, the tools of measurement, and the integral role of estimation in measurement. SAT 10 Process Measurement and Data (1.MD) Represent and interpret data. Processes provide criteria for problem solving and students’ ability to apply mathematics in different situations. The practice standards define skills that mathematically proficient students should develop. Communication and Representation Demonstrate an understanding of the symbols and terms utilized in mathematics, and correctly interpret alternative representations of numbers, expressions, and data. 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. Look for and make use of structure. Look for and express regularity in repeated reasoning. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Attend to precision. Reason abstractly and quantitatively. Model with mathematics. Look for and make use of structure. Estimation Apply estimation strategies in problem solving and determine the reasonableness of results. Mathematical Connections Demonstrate an understanding of the interrelatedness of mathematical concepts, procedures, and processes both among different mathematical topics and with other content areas. Reasoning and Problem Solving Demonstrate the ability to apply, inductive, deductive, or spatial reasoning and to make valid inferences and draw valid conclusions. Demonstrate the ability to apply strategies to solve conventional and non-routine problems. Measurement and Data (1.MD) Measure lengths indirectly and by iterating length units. Tell and write time. Geometry (1.G) Reason with shapes and their attributes. Mathematical Practice Standards Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Model with mathematics. Use appropriate tools strategically. Attend to precision.