MATHEMATICS


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TEACHER: Santiago Vasquez Giraldo

INSTITUTIONAL EMAIL: santiago.vasquez.g@liceopinoverde.edu.co

HOURLY INTENSITY BY CYCLE (HIC):  5

GRADE: 8

PERIOD: First and second period

 

  1. INTRODUCTION

We will explore key topics such as laws of exponents, algebra, geometry, and statistics, aimed at strengthening students' mathematical skills and critical thinking.

The course is designed to develop a deep understanding of concepts and their practical application, preparing students for future academic challenges while fostering an appreciation for mathematics in everyday life.

  1. GENERAL OBJECTIVE
  • Develop a solid understanding of fundamental mathematical concepts, including algebra, geometry, and statistics.
  • Strengthen problem-solving and critical-thinking skills through practical and theoretical exercises.
  • Apply mathematical concepts to real-world situations and interdisciplinary contexts.
  • Foster the ability to analyze and interpret data using various tools, such as box-and-whisker plots.
  • Build confidence in mathematical reasoning and prepare for advanced academic challenges.
  • Encourage collaboration and effective communication of mathematical ideas.

 

  1. COMPETENCES / ABILITIES TO DEVELOP

·       Knowing and understanding: Proficiency in mathematics involves selecting and applying appropriate mathematical concepts effectively to solve problems across various contexts with accuracy and adaptability.

 

·       Investigating patterns: Applying mathematical problem-solving techniques involves the recognition of patterns and their description as relationships or general rules consistent with findings. It's essential to verify whether these patterns hold true for other examples, ensuring their reliability and applicability beyond the initial instances.

·       Communicating: Using suitable mathematical language, notation, symbols, and terminology in oral and written statements ensures clarity. Employing appropriate forms of mathematical representation enhances information presentation. Communicating coherent mathematical reasoning promotes understanding and logical flow.

·       Applying mathematics in real-life context: Identifying real-life elements, selecting suitable mathematical strategies, and applying them successfully lead to solutions. Explaining solution accuracy and relevance to the real-life context ensures practicality.

 

  1. METHODOLOGY

1. Talk about the topic of the previous class.

2. Provide the guidelines for the work to be done in the class.

3. Indicate the objectives of the class.

4. Ask questions to generate a debate among students and to explore the concepts.

5. Explain the topic and provide the corresponding examples.

6. Carry out individual or group activities.

7. Conclude reflection on the class.

 

  1. CONTENT AND CONCEPTS (depending on the period)

 

Period/

Year (DP only)

Topic / Unit

Content / subtopics

Length

(hours)

 

1st Period

Unit 1:

Arithmetic

-        Laws of Exponents and Roots

-        Simplification of expressions with exponents.

-        PEMDAS: at an advanced level, including all basic operations.

 

25 class hours

Unit 2:

Algebra

-        Laws of Exponents with Algebraic Expressions

-        The Four Operations with Algebraic Expressions

-        Notable Products and Quotients

-        Factoring: Common Factor and Trinomials

-        Equations with Like Terms

35 class hours

2nd Period

Unit 3: Geometry

-        Pythagorean Theorem

-        Surface Area of Prisms

-        Surface Area of Composite Figures

-        Volume of Polyhedra and Round Solids

25 class hours

Unit 4: Statistics

-        Calculate the Mean, Median, and Mode, and Select the Best Measure of Central Tendency

-        Measures of Dispersion

-        Box-and-Whisker Plots

-        Represent Data Using a Box-and-Whisker Plot

 

25 class hours

 

  1. EVALUATION PROCESS

 

Formative evaluation

- Activity on class: Engaging, hands-on exercises or collaborative tasks in class to reinforce math concepts.

- Worksheet: Independent practice assignments allowing students to apply learned math skills.

- Quiz and exams: Assessments measuring comprehension through various question types on specific math topics.

- Class discussion: Verbal interactions exploring math concepts, sharing insights, and addressing questions among students and the teacher.

Summative evaluation

-        Final exam

-        GRAPS activity

-        Presentations

 

Evaluation Criteria

Percentages

Knowing and Understanding

25%

Investigating Patterns

25%

Communicating

25%

Applying Mathematics in Real-Life Contexts

25%

 

 

  1. RESOURCES

Resources

Technological

- Powerpoint presentation.
- Videos
- Kahoot
- Wheels to select people
- Puzzles
- LiveWorksheets

Bibliographic

- Mathematics - 3 - Weber, Kunkel, Simand and Medved - Second Edition - Oxford 2021

Physical

-        Classrooms

-        Whiteboard

-        Notebook, pen, and pencil

-        Electronic devices

 

Behavioral recommendations for the proper development of the class

-        Use of electronic devices

-        Punctuality

-        Commitment to assignments and course requirements

-        Willingness to work independently

-        Always having class materials