IB Mathematics Analysis and Approaches Geometry & Trigonometry

Question Type 1: For given 2 points, calculating the distance between the two points

Question Type 2: For given 2 points, calculating the midpoint between the two points

Question Type 3: Calculating the surface area of specific 3D shapes given the parameters

Question Type 4: Calculating the volume of specific 3D shapes given the parameters

Question Type 5: Calculating the surface area of specific complex shapes made by combining two or more shapes

Question Type 6: Calculating the volume of specific complex shapes made by combining two or more shapes

Question Type 1: Using SOH CAH TOA to find one side length given an angle

Question Type 2: Using SOH CAH TOA to find the angle given two sides

Question Type 3: Finding sides and angles using sine rule

Question Type 4: Using cosine rule to find the 3rd side

Question Type 5: Using cosine rule to find all the angles between sides

Question Type 6: Finding the area of a triangle

Question Type 7: Working with sine, cosine and area of triangle rule all together

Question Type 1: Finding angles using bearings

Question Type 2: Exploring more complicated cases

Question Type 3: Applying values of elevation and depression

Question Type 1: Converting from degrees to radians

Question Type 2: Calculating the arc length given a radius and specific angle

Question Type 3: Calculating the area of sector given a radius and specific angle

Question Type 4: Applying both arc length and area of sector in solving equations

Question Type 1: Determining relationship between trigonometric functions using unit circle

Question Type 2: Given an equation of a line, finding the angle of elevation

Question Type 3: Rearranging equations and simplifying equations into either sin or cos only

Question Type 4: Substituting simple values into equations to find exact answers

Question Type 5: Solving simple expressions for the value of x

Question Type 6: Solving more difficult equations that require rearranging to solving for x

Question Type 7: Determining if the triangles suffer from ambiguous case of sine rule

Question Type 8: Given the triangle suffers from ambiguous case, finding both possible angles

Question Type 1: Rewriting values of sin and cos using the golden rule

Question Type 2: Simple proofs with the golden rule

Question Type 3: Rewriting trigonometric equations using the double angle identities and golden rule

Question Type 4: Finding one trigonometric value given another without finding angle

Question Type 1: From graphs of trigonometric functions, finding the amplitude and period of the trigonometric curves

Question Type 2: Given the period and amplitude, finding the trigonometric functions

Question Type 3: Applying and describing transformations applied to trigonometric function

Question Type 4: Applying transformation to trigonometric functions under a specific domain

Question Type 1: Finding solutions to equations using specific equalities and identities

Question Type 2: Solving equations graphically using the GDC under specific domains

Question Type 3: ​​Rewriting equations to be in form of a quadratic

Question Type 1: Solving trigonometric equations using reciprocal functions

Question Type 2: Solving more difficult trigonometric equations using reciprocal functions

Question Type 3: Solving inverse trigonometric functions using the triangle method

Question Type 1: Using the angle identities to find values to difficult angles by breaking them into sums of known trig values

Question Type 2: Using the identities to rewrite trigonometric expressions

Question Type 3: Using identities to solve difficult trigonometric equations

Question Type 1: Writing trigonometric functions in different ways

Question Type 1: Finding a vector given two points in 2D

Question Type 2: Finding a vector given two points in 3D

Question Type 3: Doing simple calculations with vectors

Question Type 4: Finding the magnitude of vectors

Question Type 5: Finding distance between any two simple vectors

Question Type 6: Finding the distance between more difficult position vectors

Question Type 1: Finding the dot product between two vectors using different operations

Question Type 2: Rewriting vector operations

Question Type 3: Finding the angle between vectors

Question Type 4: Determining if combinations of the specific vectors are parallel, perpendicular or neither

Question Type 5: Finding for what value of a parameter are 2 vectors parallel or perpendicular

Question Type 1: Given two points, finding the vector equation of a line

Question Type 2: Verifying if a point lies on a line or not

Question Type 3: Rewriting a line from one form into another

Question Type 4: Finding the angle between two lines using the direction vectors

Question Type 5: Solving basic kinematic questions using vector equations

Question Type 1: Finding the point of intersection for two lines

Question Type 2: Given 2 vectors, classifying what type of lines they are

Question Type 3: Finding the value of parameters for which the two lines would be under a specific classification

Question Type 1: Finding the cross product of two vectors

Question Type 2: Finding the cross product using different operations of vectors

Question Type 3: Simplifying vector operations with dot and cross product

Question Type 4: Finding the area of a parallelogram or triangle given two vectors

Question Type 1: Using three points to write vector equation of a plane

Question Type 2: Finding the vector equation of a line defined by composite vectors

Question Type 3: Finding equation of a plane given the normal and a point

Question Type 4: Given three points on the plane, find the cartesian equation of the plane these points lie on

Question Type 1: Finding the point of intersection for a line and a plane

Question Type 2: Finding the intersection of two planes

Question Type 3: Finding the intersection of three planes

Question Type 4: Calculating the angle between a line and a plane

Question Type 5: Calculating the angle between two planes