Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend. Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend. Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend. Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend. Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend. Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend. Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend. Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend. Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend. Mathematical Experiments 1. Simplify the problem. 2. Draw a diagram. 3. Work systematically. 4. Make a table. 5. Look for a pattern (“term-to-term”). 6. Look for a rule (“position-to-term”/”nth term”). 7. Explain or prove rule. 8. Extend.