| Addendum to Content Area | ||
Problem-Solving
Students will: 1. Use multiple approaches to investigate and understand mathematical content. 2. Formulate problems from everyday and mathematical situations. 3. Develop and apply strategies to solve a wide variety of problems, including multi-step and non-routine problems. 4. Verify and interpret results with respect to the original problem. 5. Generalize solutions and strategies to new problem situations. 6. Acquire confidence in using mathematics meaningfully. 7. Recognize and formulate problems from within and outside mathematics. 8. Apply the process of mathematical modeling to real-world problem situations. Connections
Students will: 1. Link conceptual and procedural knowledge. 2. Relate various representations of concepts or procedures to one another. 3. Recognize and value the relationships among the different topics in mathematics. 4. Use mathematics in other curriculum areas and in daily living. 5. Explore problems and describe results by using graphical, numerical, physical, algebraic, and verbal mathematical models or representations. 6. Apply mathematical thinking and modeling to solve problems that arise in other disciplines. 7. Recognize equivalent representations of the same concept. 8. Relate procedures in one representation to procedures in an equivalent representation. |
Content
Number Sense, Estimation, & Computation: 1. Demonstrate an understanding and application of numbers to 10,000, including place value. 2. Demonstrate number sense through calculator problem-solving activities. 3. Multiply/divide two-digit numbers without remainders and relate to each other. 4. Add, subtract, order fractions using manipulatives. 5. Demonstrate numerator and denominator, numbers greater than 1 with manipulatives. 6. Demonstrate rounding to tens, hundreds, etc. 7. Estimate for reasonableness in problem-solving solutions. 8. Estimate products and quotients; compare with calculator products or quotients. 9. Add, subtract, and order decimals using manipulatives. 1. Identify geometric concepts, such as points, parallel, perpendicular lines, and right angles in everyday surroundings. 2. Demonstrate application of perimeter by measuring using common objects. 3. Identify time and time-lapsed, leap years. 4. Measure length, capacity, and weight in metric or standard units. 5. Identify key benchmarks on Fahrenheit and Celsius scales. Patterns, Relations, & Functions: 1. Demonstrate an understanding of variables. 2. Use calculator sequencing to extend patterns and relationships. 3. Demonstrate an understanding and application of sequence: rules and missing numbers, etc. 1. Graph simple coordinates. 2. Demonstrate an understanding and application of tables, charts, graphs, and timelines. 3. Make predictions based on chance given events. |
Communications
Students will: 1. Relate physical materials, pictures, and diagrams to mathematical ideas. 2. Reflect on and clarify thinking about mathematical ideas and situations. 3. Relate everyday language to mathematical language and symbols. 4. Use the skills of reading, listening, and viewing to interpret and evaluate mathematical ideas. 5. Model situations by using oral, written, concrete, pictorial, graphical, and algebraic methods. 6. Develop mathematical ideas, formulate mathematical definitions, and express generalizations discovered through investigations. 7. Ask clarifying and extending questions related to mathematics which students have read or heard about. 8. Appreciate the economy, power, and elegance of mathematical notation and its role in the development of mathematical ideas. Reasoning
Students will: 1. Draw logical conclusions about mathematics. 2. Use models, known facts, properties, and relationships to explain mathematical thinking. 3. Justify solutions and explain solutions' processes. 4. Use patterns and relationships to analyze mathematical situations. 5. Believe that mathematics makes sense. 6. Recognize and apply deductive and inductive reasoning. 7. Make and evaluate mathematical conjectures and arguments. 8. Make and test conjectures. 9. Follow logical arguments. 10. Judge the validity of arguments. 11. Appreciate the pervasive use and power of reasoning as a part of mathematics. |
