Daily Lesson Plans and Instructional Materials in Grade 9 Quarter 3 Mathematics

Note: This is a screenshot, click the image to redirect to the website or find the specific topics in the links provided below. This is a collection of daily lesson plans and instructional materials for Mathematics 9 Quarter 3, which I created during my teaching internship¹.

These are all the lesson plans I made during my teaching internship. I carefully planned each one to meet my students’ needs and learning goals. At the end of each lesson, you’ll also find the instructional materials (PPT) I used to make the lessons exciting and helpful for everyone’s learning. The instructional materials are freely available for use, with the condition of proper acknowledgement.

Lesson Plans

The arrangement of the lessons follow the curriculum guide of K-12 Grade 9 Mathematics.

Conditions for a Parallelogram

• To distinguish parallelograms from other quadrilaterals.
• To identify the conditions that guarantee that a quadrilateral is a parallelogram

Properties of a Parallelogram 1

• To prove the properties of a parallelogram using a two-column proof

Properties of a Parallelogram 2

• To prove the properties of a parallelogram using a two-column proof

Properties of a Parallelogram 3

• To prove the properties of a parallelogram using a two-column proof

Problems on Properties of Parallelogram 1

• To apply the properties of parallelograms in finding unknown quantities in a parallelogram

Problems on Properties of Parallelogram 2

• To apply the first and second properties of parallelograms in finding unknown quantities in a parallelogram
  • Property 1: Any two opposite sides of a parallelogram are congruent
  • Property 2: Any two opposite angles of a parallelogram are congruent.

Problems on Properties of Parallelogram 3

• To apply the properties of parallelograms in finding unknown quantities in a parallelogram
  • Property 3: Any two consecutive angles are supplementary
  • Property 4: Diagonals bisect each other
  • Property 5: Diagonal forms two congruent triangles
• Review
• Practice Exercises
• Summative Assessment

Theorems on Rectangle

• To prove the theorems on rectangle:
  • Theorem 1: If a parallelogram has a right angle, then it has four right angles and the parallelogram is a rectangle.
  • Theorem 2: The diagonals of a rectangle are congruent.

Theorems on Rhombus

• To prove the theorems on rectangle:
  • The diagonals of a rhombus are perpendicular.
  • Each diagonal of a rhombus bisects opposite angles.

Task Design - Especially for You

• To discover the properties of square

Task Design - It’s Paperellelogram

• To discover the midline theorem

Midline Theorem

• To explain the midline theorem
• To solve problems using the midline theorem

Theorems on Trapezoid

• To prove theorems on trapezoids:
  • Midsegment Theorem of Trapezoid
    • The base angles of an isosceles trapezoid are congruent.

Theorems on Isosceles Trapezoid

• To prove theorems on isosceles trapezoids:
  • Opposite angles of an isosceles trapezoid are supplementary.
  • The diagonals of an isosceles trapezoid are congruent.

Theorems on Kite

• To prove theorems on kite:
  • In a kite, the perpendicular bisector of at least one diagonal is the other diagonal.
  • The area of a kite is half the product of the lengths of its diagonals.
• Post Assessment

Problems on Trapezoid

• To solve problems involving theorems on trapezoids
• Summative Assessment

Problems on Kite

• To solve problems involving theorems on kite

Proportion

• To define proportion
• To determine if two ratios are proportional
• To create an example of proportion

Problems on Proportion 1

• To apply the properties of proportion in solving problems

Problems on Proportion 2

• To apply the properties of proportion in solving problems

Similarity of Polygons

• To enumerate the conditions that guarantee two figures are similar.
• To solve for missing sides in a pair of similar figures.

Triangle Similarity

• To prove the triangle similarity theorems:
  • AA similarity theorem
  • SAS similarity theorem
  • SSS similarity theorem

Triangle Angle Bisector Theorem

• To apply the Triangle Angle Bisector Theorem in solving unknown sides of a triangle

Triangle Proportionality Theorem

• To apply the Triangle Proportionality Theorem in solving unknown sides of a triangle

Right Triangle Similarity Theorem and its Proof

• To prove the right triangle similarity theorem

Special Properties of Right Triangle

• To apply the special properties of right triangle in solving unknown sides of a right triangle.
• Activity

Pythagorean Theorem and its Proof

• To explain the Pythagorean theorem
• To determine whether a given triangle is a right triangle

Problems on Pythagorean Theorem

• To solve for missing sides of a right triangle using the Pythagorean Theorem
• To solve word problems involving the Pythagorean Theorem
• Activity

Footnote:

1. I had my teaching internship at Tuba Central National High School in 2023. You can view my teaching internship portfolio here. ↩︎