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statistics-and-probability-advanced-topics-12th-grade.pptx
- 1. Statistics and Probability: Advanced Topics Here iswhere your presentation begins 12th grade
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- 3. 01 Critical thinkingskills and mathematical reasoning Analyzing and interpreting mathematical models Identifying mathematical concepts in real-world scenarios Integration of technology tools in mathematical exploration 03 02 04 Problem-solving strategies Mathematical modeling Mathematics in everyday life Mathematics and technology Table of contents
- 4. Introduction From mathematical modelingto the integration of technology tools, these lessons empower students to appreciate the versatility and relevance of mathematics across diverse contexts. Through this comprehensive approach, students not only master mathematical concepts but also develop essential skills for navigating the complexities of the modern world In high school and middle school math lessons, students delve into various engaging topics. They explore problem- solving strategies, honing critical thinking and logical reasoning skills. Additionally, at that age, math lessons focus on the practical application of mathematics, revealing its role in everyday life
- 5. Problem-solving strategies 01 Apply problem-solving strategiesin various contexts
- 6. How to solvemath problems In the dynamic landscape of mathematics, honing effective problem-solving skills is paramount â—Ź Analytical thinking â—Ź Strategic planning â—Ź Effective communication In cultivating these problem-solving skills, you will gain not only mathematical proficiency but also tools for addressing challenges across disciplines
- 7. A systematical andlogical approach to mathematical problems is the foundation for many disciplines Cultivate the ability to break down complex problems into several manageable parts Break down complex problems Systematic and logical approach Analytical thinking
- 8. Justification and proof Visual representation Clarity andprecision Logical organization Mastering mathematical communication The importance of articulating mathematical ideas with precision Structure mathematical reasoning coherently in a logical sequence Engage with peers' mathematical explanations and provide feedback Justify mathematical solutions, providing proof to validate conclusions The use of diagrams, graphs, and charts to supplement written explanations Adapt your communication style to different audiences to convey ideas Active listening Adaptability
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- 10. Mathematics is thetool that turns curiosity into discovery
- 11. 123,000 Numbers unfold asa canvas of infinite potential
- 12. Let’s use somepercentages! 25% of the math curriculum is dedicated to theoretical knowledge Theory 50% of the curriculum is spent creating a solid understanding of maths Foundation 75% of the curriculum cultivates advanced analytical skills Exploration 50% 75% 25%
- 13. Milestones in mathematics 300BCE Euclid publishes "Elements" 17th century The development of calculus 1931 Gödel's Incompleteness Theorem 1994 Proof of Fermat's Last Theorem
- 14. Display concepts visually Followthe link in the graph to modify its data and then paste the new one here. For more info, click here Concept 1 Concept 3 Concept 2 Briefly describe the concept here Concept 4 Briefly describe the concept here Briefly describe the concept here Briefly describe the concept here
- 15. Rubric Criteria Exceptional (4)Proficient (3) Basic (2) Limited (1) Conceptual understanding Deep, insightful mastery of concepts Solid understanding and application Basic grasp, occasional struggles Limited understanding, frequent errors Problem-solving skills Exceptional, creative problem-solving Strong skills with various strategies Basic skills, occasional struggles Limited ability, frequent challenges Communication of ideas Clear, precise communication Effective expression of mathematical ideas Adequate but may lack precision Struggles to communicate clearly Accuracy of calculations Exceptional accuracy in computations High accuracy in routine calculations Basic accuracy, occasional errors Frequent errors in calculations
- 16. Short answer questions Thestudents should read the following questions and answer them in their paper. These questions require students to demonstrate their understanding of key concepts How would you write an algebraic expression for "three times the sum of a number and 5"? Can you explain the distinction between the area and perimeter of a shape? Provide an example for each What is the result when you add 1/3 and 1/4? Express your answer as a simplified fraction 1 2 3
- 17. Real-life application Budgeting fora trip Personal finance Architectural design Epidemiology Divide the class into small groups of 3-5 students. Assign each group a real-life application for which they will have to use math concepts to solve Consider transportation, accommodation, meals and other activities Design a floor plan, calculating the area of each room with proper proportions Include expenses like rent, utilities, groceries and entertainment Using statistical methods, analyze data on infection and recovery rates Topics 2 4 3 1
- 18. Mathematical investigation Students will haveto delve into a specific mathematical concept or problem, explore it in-depth, and present their findings 1. Choose a number sequence: Ask each student to select a number sequence that interests them 2. Investigate the pattern: Instruct them to explore the pattern within their chosen number sequence 3. Apply mathematical concepts: They should apply relevant mathematical concepts to their investigation 4. Solve problems: They have to create and solve problems related to their chosen sequence 5. Create a portfolio: Instead of a traditional essay, ask them to compile their findings into a portfolio and present it
- 19. Recap the main mathematicalconcepts covered during the lesson Emphasize the practical relevance of the concepts and skills of the lesson Provide a glimpse into the upcoming lessons for continuity of learning Summarize key concepts Real-world applications Preview next steps Conclusions
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