| 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. Describe rational, whole, integer number systems. 2. Demonstrate an understanding and application of prime and composite numbers, squares, percents, powers, square roots, exponents, ratios. 3. Demonstrate an understanding of place value to the millionth. 4. Demonstrate number-connectedness by converting fractions to decimals and decimals to percents. 5. Explain in writing the reasons for mathematical computations/solutions. 6. Demonstrate competency in the use of scientific calculator, including order of operations. 7. Formulate strategies to eliminate multiple choice solutions through estimations skills. 8. Mentally estimate percent, whole number, powers of ten problems. 9. Multiply and divide fractions. 1. Demonstrate an understanding and application of the properties of 2-D and 3-D geometric figures. 2. Demonstrate estimate area, perimeter, circumference formulas through experiment and manipulatives. 3. Use appropriate measuring devices/units to measure length, capacity, volume, area, angles, etc. Patterns, Relations, & Functions: 1. Use variables in written equations/problems. 2. Graph ordered pairs and relationships. 3. Identify and develop patterns in tables, graphs, rules, etc., to solve problems. 4. Use variables to symbolize relationships between the 4 fundamental operations. 5. Identify mathematical relationships occurring in other curricular areas. 1. Demonstrate an understanding and application of range, mode, frequency tables, mean, median. 2. Use creative graphing and diagramming techniques to interpret data (written and orally). 3. Demonstrate an understanding of probability. |
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. |
