Preview Coordinate Geometry, Vectors, & Transformations

Cartesian Plane

Coordinates of Points in a Cartesian Plane

Finding x-coordinate

Finding y-coordinate

Finding the coordinates

Understanding Quadrants in a Cartesian Plane

Identifying the Quadrant from the point (diagram)

Identifying the Quadrant from the point (without diagram)

Basic Translation of Points

Coordinate Geometry

Distance between 2 points

Distances involving using unknowns or variables

Distance between 2 points – Using Variables

Using Unknowns

Equidistant Points

Equidistant points

Equidistant points from x/y axes

Identifying geometrical shapes

Proving Geometrical Shapes

Finding the Midpoint

Finding the midpoint when points are given

Finding the midpoint when points are in terms of variables

Finding the midpoint from the given diagram

Finding points from midpoint

Finding points when the midpoint is given

Application in parallelogram

Application - Parallelogram

Application in parallelogram

Application – Miscellaneous

Application for Centroid

Centroid

Test on Co-ordinate Geometry (Non Calculator)

Straight Lines

Gradient

Finding gradient from two points

Gradients - Finding the value of an unknown

Gradient from a Diagram

Finding the gradient of a line

Parallel and Perpendicular Gradients

Gradients of parallel and perpendicular lines

Involving Unknowns in the gradients of parallel and perpendicular lines

Collinear Points

Checking for Collinear Points

Determining Unknowns in Collinear points

Determining the Gradient and y-intercept

Determining the gradient and y-intercept

Determining the form

Determining the form – General or gradient-intercept

Determining the equation with gradient and y-intercept

Determining the equation of a line when the gradient and y-intercept are given

Determining the equation with gradient and x-intercept

Determining the equation of a line when the gradient and x-intercept/point are given

Determining the equation when two points are given

Determining the equation of a line when two points are given or a point and x/y-intercept are given

Determining x and y intercepts

Determining x & y intercepts

Finding the values of coordinates

Finding values of coordinates

Determining the equation from graphgiven points

Equation of a line – From a graph

Equation of a line from diagram (when the points are given)

Determining unknowns in parallel and perpendicular gradients

Parallel Gradients

Perpendicular Gradients

Combination of Parallel and Perpendicular Lines

Horizontal and Vertical Lines

Determining the equation of lines parallel/perpendicular to the axes

Equation of a Line with a point and determination of gradient

Equation of a line with a point and determination of gradient

Drawing Graphs

Test on Straight Lines - I (Non Calculator)

Test on Straight Lines - II (Non Calculator)

Equations of Perpendicular Bisectors

Finding midpoint and slope of perpendicular

Finding the equation of the perpendicular bisector

Vectors

Concept of a Vector

Identifying a vector quantity

Concept of Equal Vectors

Identifying equal vectors

Concept of Negative Vectors

Identifying negative vectors

Mixed Bag identification of Vectors

Vector Expressions

Component Form

Writing Vectors in Component Form

Vectors in component form

Addition of Vectors using a Diagram

Addition of Vectors – using a diagram

Addition of Vectors - Writing as Single Vectors

Addition of Vectors – writing a single vector

Addition of Vectors Involving Vector Expressions

Addition of Vectors – Vector Expressions

Word Problems on Addition of Vectors

Addition of Vectors – Word Problems

Subtraction of Vectors using a Diagram

Subtraction of Vectors – using a diagram

Subtraction of Vectors - Writing as a Single Vector

Subtraction of Vectors – writing a single vector

Subtraction of Vectors involving Vector Expressions

Subtraction of Vectors – Vector Expressions

Subtraction of Vectors - Word Problems

Subtraction of Vectors – Word Problems

Magnitude of a Vector

Writing Vectors Using Coordinates

Writing Vector from coordinates with respect to the origin

Writing Component forms from coordinates

Finding Coordinates from a Vector

Finding coordinates from a vector

Addition and Subtraction of Vectors in Component Form

Addition and Subtraction of Vectors in Component form

Value of Unknowns in Component Form

Finding the value of unknowns in component vectors

Mixed Bag – Vectors and their magnitudes

Determining Vectors from given Vectors

Determining vectors from given vectors

Application of Vectors

Determining Unknowns while finding the Magnitude

Determining unknowns while finding the modulus

Scalar Multiplication

Parallel Vectors

Using Coordinates in Parallel Vectors

Using coordinates in parallel vectors

Vector Geometry Involving Midpoints

Vector Geometry involving Midpoints

Vector Geometry Involving Ratios

Vector Geometry involving Ratios

Transformations

Translations

Determining the image of a point after a Translation

Determining the image of a point

Determining the original point

Determining the Translation Vector

Determining the translation vector

Determining Translation from Diagrams

Determining translation from diagrams

Equivalent Translations

Translation of Equations

Reflections

Reflection in the x-axis

Reflections in x-axis

Reflection in the y-axis

Reflection in y-axis

Reflection in the origin

Mixed bag

Double and Equivalent Reflections

Double Reflection

Equivalent Reflections

Reflection of a Geometric Shape

Reflection in the line y = x

Reflection in the line y =-x

Reflection in the line y = -x

Reflection in Specific Lines

Reflection in specific lines

Combination of Reflections

Combination of Reflection and Translation

Reflection of a line

Combination of reflection and translation of a line

Transformations - Rotation

Rotation by 90° clockwise about origin

Rotation by 90° anticlockwise about origin

Rotation by 180° about origin

Rotation about different points

Rotation - Mixed Bag

Rotation of a figure

Centre of Rotation

Combination of Transformations

Equivalent Transformations

Rotation of a Line

Combination of Double Transformations involving a line

Combination of Triple Transformations involving a line

Transformations - Enlargements and Reduction

Image of a point involving Enlargement/ Reduction about Origin

Image of a point involving Enlargement/ Reduction about Different Points

Image of a point involving Negative Scale Factors

Enlargement/Reduction of a figure

Enlargement/Reduction of a line

Determining the transformation

Transformations - Stretch

Stretching a point with invariant x- axis

Stretching a point with invariant y- axis

Stretching a point with invariant y = x or y = -x

Mixed Bag – Stretching

Stretching a shape

Stretching an equation

Determining the stretch

Transformations - Inverse

Inverse Transformations involving reflections

Inverse Transformations involving translations

Inverse Transformations involving rotations

Inverse Transformations involving enlargement/reduction

Inverse Transformations involving stretches

Combined Transformations

Combined Transformations of a Point

Combined Transformations of a Figure

Preview - Coordinate Geometry, Vectors, & Transformations