### Schedule

Sunday Monday Wednesday
8:25 14:00 11:25

### Resources

#### DPMath2020 Review for final exam 2019

Cool review

Hi, everyone. Sorrry I can’t be with you today, use this time to work on your IAs.

Ch 2

Ch 2 MS

Exp, Log, Trig review

Exp, Log, Trig review MS

Double angle 1

Double angle 2

Double angle 3

Calculus Review

Calculus Review MS

#### DPMath2020 Kinematics

Integration Summative

#### DPMath2020 Optimization

Optimization worksheet

Optimization worksheet MS

#### DPMath2020 Graphs and derivatives

Last Derivatives

Derivatives IB questions *Caution, the exercises above may contain integrals. Ex: qs 1, 4,6 ,9 , 13, 14, 15

Calculus Formative

What variables would you have to consider when choosing your path down a mountain?

#### DPMath2020 Early derivatives

Limits and derivatives

#### DPMath2020 Double angle solutions

Dear all,

Unfortunately, I can’t be with you today. Please find the markscheme for last classes list. Also, some introductory videos for limits.

Have fun,

Mr. Pacios

PatrickJMT

Even more Patrick

More Patrick

3Blue1Brown

Markscheme

#### DPMath2020 Double angle

Double angle list

#### Math SL Trigonometry

Learning objective: -I can describe the lenghts of an arc with radians -I can convert radians to degree and likewise -I can calculate the arclength and the area of a sector

Explanation

Easy

Trickier

Areas

Learning objective: -I can define sin, cos, tan, cot, sec, csc on the unit circle -I can define sin, cos and tan in a triangle -I know specific values of sin, cos and tan

Explanation

Explanation in a triangle

Special values

Learning objective: -I know how a,b,c and influence the appearance of any given trigonometric function f(x) = asin (b(x + c) ) + d

Explanation

Transformation of graphs

Trickier

More

#### Math SL Exponential word problems and equations

Learning objective: -I can solve exponential and logarithmic word problems”

Worksheet

Learning objective: -I can solve exponential and logarithmic equations

Explanation

Simple

Medium

Tricky

Question Bank

Question Bank MS

Summative

#### Math SL Functions Prep

Functions Prep

Functions PrepMS

##### Date posted: 10/12/2018

Learning objective:

``````-I can analyse quadratic function (Vertices, axis of symmetry, intecepts, …)
``````

Worksheet 1

Worksheet 2

Worksheet 3

Worksheet 4

Learning objective:

``````-I can analsye quadratic equations (Discriminant, roots, …)
``````

Worksheet 1

Worksheet 2

Worksheet 3

#### Math SL Functions exercises

Learning Objective: -I can distuingish between relations and functions -I can determine Domain and Range of a function

Worksheet 1

Worksheet 2

Worksheet 3

Worksheet 4

Learning objective: -I understand how to calculate composition of functions -I know how to composite two or even more functions

Worksheet 1

Worksheet 2

Worksheet 3

Learning objective: -I can determine inverse functions -I can graph inverse functions

Worksheet 1

Worksheet 2

Worksheet 3

Learning objective: -I can graph any type of function

Worksheet 1

Worksheet 2

Worksheet 3

Worksheet 4

#### Math SL Functions 1

16/09/2018 Functions 1

Learning Objectives:

``````-Understand the definition and role of functions
``````

Assessment Criteria:

``````-I can distinguish between relations aand functions

-I can determine Domain and Range of a function
``````

Injective, surjective, bijective

#### Math SL Logs 2

09/09/2018 Logs 2 and Intro to functions

Learning Objectives:

``````-Understand the change of base rule
``````

Assessment Criteria:

``````-I can apply the change of base formula
``````

Change of base exs

Functions

Learning Objectives:

``````-I can distinguish between functions and relations

-I can recognize the domain and range of functions
``````

#### Math SL Logs 1

09/09/2018 Logs 1

Learning Objectives:

``````-Perform elementary algebra of exponents and logarithms
``````

Assessment Criteria:

``````-I can apply the laws of exponents
-I can apply the laws of logarithms
-I can change the base of a logarithm
``````

Log worksheet 1

Log worksheet 2

Log worksheet 3

Log worksheet 4

Log worksheet 5

Logs 2:

LO: -I can simplify logarithmic expressions into exponential expressions and likewise

Worksheet Simplification

#### Math SL Algebra of Exponents and Logs

04/09/2018 Algebra of exponents and logarithms

Learning Objectives:

``````-Perform elementary algebra of exponents and logarithms
``````

Assessment Criteria:

``````-I can apply the laws of exponents
-I can apply the laws of logarithms
-I can change the base of a logarithm
``````

Class discussion: -Is Math invented or discovered?

Solving the first formative:

Review: Laws of exponents

Now solve the rest of the exercises