Preview Geometry & Trigonometry

Symmetry

MYP 3 Unit Plan - Geometry and Trigonometry- Symmetry

Symmetry in Triangles

Symmetry in Quadrilaterals

Symmetry in Polygons

Symmetry in Alphabets and Digits

Symmetry in Miscellaneous Figures

Lines and Angles

MYP 3 Unit Plan - Geometry and Trigonometry-Lines & Angles

Complementary and Supplementary Angles

Complementary and Supplementary Angles - With Variables

Complementary and Supplementary Angles – With Variables

Complementary and Supplementary Angles -Challenging

Complementary and Supplementary Angles – Challenging

Complementary and Supplementary Angles -Involving Ratios

Complementary and Supplementary Angles – Involving Ratios

Complementary and Supplementary Angles -Involving Linear Equations

Complementary and Supplementary Angles – Requiring Formation of Linear Equations

Two Angles on a Straight Line

Angle Properties – Two angles on a straight Line

Angles on a Straight Line – Without Diagram

Three Angles on a Straight Line

Angle Properties – Three angles on a straight Line

Angles around a Point

Angles around a point – Two or three angles

Multiple Angles around a Point

Angles around a point – four angles

Multiple Angles around a point

Parallel Lines

Lines cut by a Transversal

Unknown Angles in Parallel Lines

Determining the value of angles in parallel lines

Determining the value of angles in parallel lines – Two unknowns

Unknown Angles in Parallel Lines - Forming Linear Equations

Determining the value of angles in parallel lines – Involving Equations

Determining the value of angles in parallel lines – without diagram

Determination of Parallel Lines

Determination of whether the lines are parallel

Finding Unknown Angles in Geometric Figures

Determining values in geometric figures

Triangles

MYP 3 Unit Plan - Geometry and Trigonometry-Triangles

Classification of Triangles

Classification of triangles based on sides

Classification of triangles based on angles

Triangle Inequalities

Identification of triangle properties

Angle Sum Property

Angle Sum Property – from diagram

Angle Sum property – Without Diagram

Angle Sum Property - Involving Linear Equations

Angle Sum Property – Without Diagram - Using Linear Equations with Repeated unknowns

Exterior Angle property

Exterior Angle Property

Finding missing angles involving linear equations

Finding missing angles – Involving Linear Equations

Angles of an Isosceles Triangle

Using Parallel Lines in a Triangle

Using Parallel Lines in Triangles

Quadrilaterals

MYP 3 Unit Plan - Geometry and Trigonometry-Quadrilaterals

Properties of Quadrilaterals

Angle Sum Property - With Diagram

Angle Sum Property in a Quadrilateral – With Diagram

Angle Sum Property - Without diagram

Angle Sum Property in a Quadrilateral – Without Diagram

Polygons

MYP 3 Unit Plan - Geometry and Trigonometry-Polygons

Sum of Angles of a Polygon

Sum of angles of a regular polygon

Finding number of sides of a regular polygon

Sum of Interior angles of an Irregular polygon

Sum of interior angles with diagram

Interior angles of an irregular polygon

Interior angles of an Irregular polygon involving ratio

Interior angles of an irregular polygon involving ratio

Interior angles of an Irregular polygon involving Variables

Interior angles of an irregular polygon involving variables

Number of Sides of an Irregular Polygon

Number of sides of an irregular polygon

Exterior Angle and Number of Sides

Relation between number of sides and exterior angle

Interior Angle and Number of Sides

Relation between number of sides and interior angle

Relation Between Interior And Exterior Angle

Relation between Interior and Exterior angles

Relation between Interior and Exterior angles involving ratios

Congruency of Triangles

MYP 3 Unit Plan - Geometry and Trigonometry-Congruency of Triangles

Congruency of Triangles - Introduction

Identify the test

Congruency - Proving Triangles Congruent

Congruency in Triangles

Congruency Of Triangles In Quadrilaterals

Congruency of Triangles in Quadrilaterals

Similarity of Triangles

MYP 3 Unit Plan - Geometry and Trigonometry-Similarity of Triangles

Introduction to Similarity

Finding missing dimensions

Finding Missing Dimensions in Similar Shapes

Proving triangles similar & finding missing Dimensions

Proving Triangles Similar – Basic

Finding missing dimensions

Word problems on similarity

Word Problems

Basic Conversions

Conversion of Lengths

Conversions for Length

Conversion of Area

Conversions for Area

Handling Surds

MYP 3 Unit Plan - Surds, Rational & Irrational numbers

Concept of Surds

Writing in simplest form (Non GDC)

Finding Unknown Values

Multiplication Involving Surds

Multiplying single surds

Multiplying two surds

Pythagoras Theorem

MYP 3 Unit Plan - Geometry and Trigonometry-Pythagoras Theorem

Pythagoras Theorem - Basics

Finding Hypotenuse Length

Finding the length of the sides

Pythagoras Theorem - Using Unknowns

Finding the value of the unknown

Pythagoras Theorem - Combined Triangles

Pythagoras Theorem in Combined Triangles

Pythagoras Theorem - Converse

Converse of Pythagoras Theorem

Pythagoras Theorem - Pythagorean Triplets

Pythagorean Triplets

Unknowns in the Pythagorean Triplets

Pythagoras Theorem - Word Problems

Word Problems Using Pythagoras Theorem

Pythagoras Theorem - Non-Right Angled Triangles

Pythagoras Theorem in Non Right-Angled Triangles

Pythagoras Theorem - Quadrilaterals

Pythagoras Theorem in Quadrilaterals

Pythagoras Theorem - Involving Directions

Pythagoras Theorem involving directions

Area of Triangle

MYP 3 Unit Plan - Geometry and Trigonometry-Area of Triangle

Area of triangle - Basics

Area of Triangle when base and height are given

Finding base/height when the area is given

Area of triangle - Using Ratios

Finding the Area when Ratios are given

Area of an Equilateral triangle

Area of an equilateral Triangle

Area of an Isosceles triangle

Area of an Isosceles Triangle

Area of A scalene triangle

Area of Scalene Triangle

Area of Combined TriangleS

Area of a Quadrilateral (as sum of 2 triangles)

Area of Squares/Rectangles

MYP 3 Unit Plan - Geometry and Trigonometry-Area of Square and Rectangle

Area:perimeter of square - basics

Area/Perimeter of Square using Side

Area:perimeter of square - Using diagonal

Area/Perimeter of Square using Diagonal

Area:perimeter of a rectangle- basics

Area/Perimeter of Rectangle

Area:perimeter of rectangles using ratios

Dimensions involving Ratios

Area of Paths Outside the Rectangle

Sums involving Paths Outside the field

Area of paths inside the rectangle

Sums involving Paths Inside the field

Area of Crossroads

Sums involving Crossroads

Area of Quadrilaterals

MYP 3 Unit Plan - Geometry and Trigonometry-Area of Quadrilateral

Area of trapezium

Area of Trapezium

Area of Parallelogram

Area of Rhombus

Area of a Rhombus

Area and Perimeter of Circles

MYP 3 Unit Plan - Geometry and Trigonometry-Area of Circles

Parts of a Circle

Area and Circumference of circle

Area of ring

Circle - Shape Transformations

Shape Transformations

Combining Areas

Area Involving Smaller Circle & Larger Sheet

Areas involving smaller circles and larger sheets

Basic Terms

Basic Conversions - Volume

Volume Conversions

Capacity Conversions

Surface Area and Volume of Cube/Cuboid

MYP 3 Unit Plan - Geometry and Trigonometry-Surface Area and Volume of Cube and Cuboid

Volume and Surface Area of a Cube

Volume and Surface Area of a Cuboid

Volume and Surface Area of a Cuboid Involving Ratios

Surface Area and Volume of Cube and Cuboid Involving Ratios

Area of Walls and Ceiling

Area of Walls and Ceilings

Closed and Open Boxes without Thickness

Closed and Open Boxes without thickness

Objects that Fit

Finding the number of objects that can fit

Cylinder - Volume & Surface Area

MYP 3 Unit Plan - Geometry and Trigonometry-Surface Area and Volume of Cylinder

Volume of a Cylinder

Volume of a Solid Cylinder

Surface Area of a Cylinder

Surface Area of a Solid Cylinder

Application of surface area & Volume

Application of Surface Area/Volume

Volume & Surface area of a Cylinder involving ratios

Surface Area and Volume of Cylinders Involving Ratios

Finding Volume based on Surface Area

Cone - Volume & Surface Area

MYP 3 Unit Plan - Geometry and Trigonometry-Surface Area and Volume of Cone

Volume of a Cone

Surface Area of a Cone - Basics

Pyramids - Volume and Surface Area

MYP 3 Unit Plan - Geometry and Trigonometry-Surface Area and Volume of Pyramids

Volume of a triangular based pyramid

Surface area of a triangular based pyramid

Triangular Based Pyramid - Surface Area

Square Based Pyramid - Volume

Rectangular Based Pyramid - Volume

Square based and rectangular based pyramid - volume

Prisms

MYP 3 Unit Plan - Geometry and Trigonometry-Prisms

Triangular prism Volume

Triangular Prism (Equilateral and Isosceles)

Right-Angled Triangular Prism Volume

Triangular Prism (Right Angled Triangle)

Trapezoidal Prism

Trapezoidal prism Volume

Right-Angled Trigonometry Basics

MYP 3 Unit Plan - Geometry and Trigonometry-Right Angled Trigonometry Basics

Identify the Sides

Identifying the hypotenuse, adjacent, and opposite sides

Identifying the Ratio

Identifying the trigonometric ratio

Finding the Value of Ratio

Finding the values of trigonometric ratios when the sides are given

Finding Side Lengths

Finding unknown side lengths

Finding Angle Values

Finding the value of the angle

Trigonometry in Combined Triangles

Combination of two triangles

Right-Angled Trigonometry in Geometric Figures

MYP 3 Unit Plan - Geometry and Trigonometry-Right Angled Trigonometry in Geometric Figures

Trigonometry in Triangles

Trigonometry in Rectangles

Trigonometry in Rhombus

Trigonometry in Kites

Trigonometry in Trapezia

Trigonometry in Circles

Trigonometry in Polygons

Word Problems

Preview - Geometry & Trigonometry - MYP 3