Title What ItCovers / Why It’s Useful Link
Lesson 1 Teaching Math in
‒
the Intermediate Grades
Discusses the mathematics
curriculum in intermediate
grades (the five content areas:
number sense, geometry, etc.),
nature/purpose of
mathematics, etc. Good for
Week 2 foundations.
www.slideshare.net
Slideshare Download PPTX
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Teaching Math in the
Intermediate Grades
Strategies, teaching cycle, etc.
Useful for methodology
portions. www.slideshare.net
Slideshare / PPTX
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Lesson 2 Mathematics
‒
Curriculum in the
Intermediate Grades
Covers the content, scope &
sequence, learning standards
for Grades 4-6. Great for Weeks
3-4. www.slideshare.net
Slideshare Download PPTX
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Teaching Mathematics through
Problem Solving in the
Primary and Intermediate
Grades
Focused on using problem-
solving approaches. Good for
integrating problem solving into
lessons. SlideServe
Slideserve Presentation
SlideServe
Free Math PowerPoint
Templates & Google Slides
Themes
If you want good slide designs /
layout for your own content,
you can use ready‐made
templates and then fill in your
course content. Slidesgo
Slidesgo Math Templates
Slidesgo
3.
Week 2Lecture
Topic: Foundations of Mathematics Teaching and Learning
Intended Learning Outcomes (ILOs):
Identify and discuss the nature of mathematics and its implications for teaching.
Explain the need for a modern Mathematics program in elementary education.
Lecture Content
1. The Nature of Mathematics
Mathematics as a Science of Patterns and Relationships
Numbers, shapes, and logical structures.
Real-life applications in daily decision-making (e.g., budgeting, time management).
Mathematics as a Language
Symbols and equations used to communicate ideas.
Precision and clarity in expressing concepts.
Mathematics as a Tool
Problem-solving and critical thinking.
Foundation of technology, science, engineering, and everyday problem-solving.
Mathematics as a Human Endeavor
A product of human curiosity and creativity.
Evolving through history to meet new societal needs.
Implications for Teaching:
Teachers should emphasize understanding over memorization.
Encourage real-world connections in lessons.
Foster a classroom culture that values exploration, mistakes, and collaboration.
2. The Need for a Modern Mathematics Program
From rote learning to meaningful understanding
Old approach: drill and practice.
New approach: conceptual understanding + application.
Learner-Centered Approach
Active participation in discovery and problem-solving.
Catering to diverse learning styles and needs.
Integration of Technology
Use of calculators, educational apps, and interactive simulations.
Digital literacy as part of mathematics learning.
Preparation for Lifelong Learning
Equipping learners with skills in reasoning, decision-making, and adaptability.
Mathematics as a foundation for higher education and workforce readiness.
Values Connection:
Cooperation: working in groups for problem-solving.
Empathy: recognizing and helping classmates who struggle with math concepts.
Learning Activity (Week 2)
Group discussion: “Why do many students fear Mathematics? How can teachers change this perception?”
Reflective writing: “How do I personally see mathematics—as a tool, a language, or a burden? Why?”
Weeks 3–4 Lecture
Topic: Goals and Objectives of Mathematics in the K-12 BEC for the Intermediate Grades
Intended Learning Outcomes (ILOs):
Explain and discuss the goals and objectives of Key Stage 2 Mathematics in the K-12 BEC.
Identify and discuss the content, scope, and sequence of Mathematics in the intermediate grades.
Lecture Content
1. Overview of K-12 Mathematics Program
Vision: Develop mathematically literate Filipinos who can contribute to society.
Philosophy: Mathematics learning is developmental, spiral, and integrative.
2. Goals of Mathematics in Key Stage 2 (Grades 4–6)
Conceptual Understanding
Building foundations in numbers, operations, measurement, geometry, patterns, algebra, statistics, and probability.
Critical Thinking and Problem-Solving
Applying concepts to real-life situations.
Encouraging creativity and reasoning.
Mathematical Communication
Explaining solutions using correct terms and representations.
Connection and Representation
Relating math to other disciplines (science, economics, daily life).
3. Content, Scope, and Sequence of Mathematics (Grades 4–6)
Numbers and Number Sense
Whole numbers, fractions, decimals, integers, ratios, and percents.
Measurement
Length, area, volume, perimeter, temperature, time, and speed.
Geometry
Lines, angles, polygons, circles, solid figures.
Patterns and Algebra
Sequences, number sentences, simple equations.
Statistics and Probability
Data collection, representation (bar, line, pie graphs), and simple experiments.
Spiral Progression Approach:
Concepts are revisited and deepened at each grade level.
Example: Fractions operations with fractions applications of fractions in real-life contexts.
→ →
Values Connection:
Cooperation: solving group activities in measurement and geometry.
Empathy: supporting peers with different mathematical abilities.
Learning Activity (Weeks 3–4)
Analyze the Mathematics Curriculum Guide for Grades 4–6 (K-12 BEC). Identify key competencies for each grade level.
In groups: create a lesson plan matrix showing the spiral progression of one topic (e.g., Fractions from Grade 4 to Grade 6).
4.
Week 2Lecture
Topic: Foundations of Mathematics Teaching and Learning
Intended Learning Outcomes (ILOs):
Identify and discuss the nature of mathematics and its implications for teaching.
Explain the need for a modern Mathematics program in elementary education.
Lecture Content
1. The Nature of Mathematics
Mathematics as a Science of Patterns and Relationships
Numbers, shapes, and logical structures.
Real-life applications in daily decision-making (e.g., budgeting, time management).
Mathematics as a Language
Symbols and equations used to communicate ideas.
Precision and clarity in expressing concepts.
Mathematics as a Tool
Problem-solving and critical thinking.
Foundation of technology, science, engineering, and everyday problem-solving.
Mathematics as a Human Endeavor
A product of human curiosity and creativity.
Evolving through history to meet new societal needs.
Implications for Teaching:
Teachers should emphasize understanding over memorization.
Encourage real-world connections in lessons.
Foster a classroom culture that values exploration, mistakes, and collaboration.
2. The Need for a Modern Mathematics Program
From rote learning to meaningful understanding
Old approach: drill and practice.
New approach: conceptual understanding + application.
Learner-Centered Approach
Active participation in discovery and problem-solving.
Catering to diverse learning styles and needs.
Integration of Technology
Use of calculators, educational apps, and interactive simulations.
Digital literacy as part of mathematics learning.
Preparation for Lifelong Learning
Equipping learners with skills in reasoning, decision-making, and adaptability.
Mathematics as a foundation for higher education and workforce readiness.
Values Connection:
Cooperation: working in groups for problem-solving.
Empathy: recognizing and helping classmates who struggle with math concepts.
Learning Activity (Week 2)
Group discussion: “Why do many students fear Mathematics? How can teachers change this perception?”
Reflective writing: “How do I personally see mathematics—as a tool, a language, or a burden? Why?”
Weeks 3–4 Lecture
Topic: Goals and Objectives of Mathematics in the K-12 BEC for the Intermediate Grades
Intended Learning Outcomes (ILOs):
Explain and discuss the goals and objectives of Key Stage 2 Mathematics in the K-12 BEC.
Identify and discuss the content, scope, and sequence of Mathematics in the intermediate grades.
Lecture Content
1. Overview of K-12 Mathematics Program
Vision: Develop mathematically literate Filipinos who can contribute to society.
Philosophy: Mathematics learning is developmental, spiral, and integrative.
2. Goals of Mathematics in Key Stage 2 (Grades 4–6)
Conceptual Understanding
Building foundations in numbers, operations, measurement, geometry, patterns, algebra, statistics, and probability.
Critical Thinking and Problem-Solving
Applying concepts to real-life situations.
Encouraging creativity and reasoning.
Mathematical Communication
Explaining solutions using correct terms and representations.
Connection and Representation
Relating math to other disciplines (science, economics, daily life).
3. Content, Scope, and Sequence of Mathematics (Grades 4–6)
Numbers and Number Sense
Whole numbers, fractions, decimals, integers, ratios, and percents.
Measurement
Length, area, volume, perimeter, temperature, time, and speed.
Geometry
Lines, angles, polygons, circles, solid figures.
Patterns and Algebra
Sequences, number sentences, simple equations.
Statistics and Probability
Data collection, representation (bar, line, pie graphs), and simple experiments.
Spiral Progression Approach:
Concepts are revisited and deepened at each grade level.
Example: Fractions operations with fractions applications of fractions in real-life contexts.
→ →
Values Connection:
Cooperation: solving group activities in measurement and geometry.
Empathy: supporting peers with different mathematical abilities.
Learning Activity (Weeks 3–4)
Analyze the Mathematics Curriculum Guide for Grades 4–6 (K-12 BEC). Identify key competencies for each grade level.
In groups: create a lesson plan matrix showing the spiral progression of one topic (e.g., Fractions from Grade 4 to Grade 6).