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3. 01 Critical thinking skills 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 modeling to 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
6. How to solve math
problems
In the dynamic landscape of mathematics, honing
effective problem-solving skills is paramount
● Analytical thinking
● Strategic planning
● 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 and logical 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 and precision 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
12. Let’s use some percentages!
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
300 BCE
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
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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
The students 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 for a 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 have to 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
mathematical concepts
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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“Despite being red,
Mars is actually a
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