SN Mathematics - Secondary 5

Remedial at DDO every day in room 34 except day 2 and 6 from 11:18 to 11:45
(or online in the channel Questions and Answers):

NOTE: I am only working at 80% so I am off on Day 2 and Day 6.


To get help outside of class: 

Success checker


September - Review 

When a mathematician dances


Graph the story: Height of Waist Off Ground answer

More stories to graph  answer

Algebra tiles activities or Algebra tiles (click on Manipulatives -> Algebra Tiles)

Turtle journey - Desmos Activity


Desmos Activity: Polygraph lines or Marbleslides parabolas


Class Marker

Secondary 3: 

- Algebra and Algebraic Expressions

- Exponents and Scientific Notation

- Function 2 (also Function 1 or Function 3)

- Systems of equations


Secondary SN 4 : 

- Algebraic Expressions

- Equations and Systems of Equations

- Greatest Integer Function

- Inequalities and Systems of Inequalities

- Properties of Second-Degree Functions

- Second-Degree Polynomial Functions



Vision 1: Functions


Piecewise Function: 

Notes from Math is fun

Video from Khan Academy


Using Desmos: explore the first function we will learn this year: 

Step 1: click on Desmos

Step 2: start typing : f(x) = a

Step 3: click on a to "add a slider"

Step 4: type "sqrt" for the squareroot to appear

Step 5: continue typing the rest and adding sliders for b, h, k

Step 6: move the sliders to find the role of a, b, h, k


Using Geogebra to understand the role of a,b,h,k :

- get the file "functions_en.ggb" or "material-154651" in the shared folder or go online to check the following sites:

Review radicals


The inverse of a function: Desmos activity in French


Squareroot Function, Miss Lebel's lessons:

Radicals


Absolute Value Function, Miss Lebel's lessons:

Solving equalities and inequalities

Function

Graph and rule


Rational function, Miss Lebel's lessons:

Long division

Solve a rational equation

Rational expressions

Intro to rational functions

Properties of rational functions

Find the rule

Solve a rational inequality


Gizmos:

Addition and subtraction of functions

Simplifying radical expressions

Operations with radical expressions

Functions involving square roots

Absolute value equalities and inequalities

Rational Function


Desmos activities:  

Absolute value function transformations

Absolute value review

Explore the rational function


From Allo-prof, "Propriétés de la fonction racine carrée"


Class Marker Math SN Secondary 5 :

- Introduction to Functions

- Piecewise Functions

- Squareroot Function

- Absolute Value Function

- Rational Function


Vision 3: Exponential and Logarithmic Functions


Review exponents


Exponents review - miss Lebel's Lesson

Introduction to logarithms - miss Lebel's Lesson

What is a logarithm?


Logathmic calculations

Exponential functions

Logarithmic functions

Application  of exponential and logarithmic functions


Khan Academy "Exponential and logarithmic functions"


in French: solve equations using log with M. Roll


Vision 2: Systems of equations and inequalities


Prerequisites for this chapter: 

Word problems for systems of linear equations   or   Systems of equations word problems + solutions

Khan Academy videos: Systems of equations 

Desmos: Solutions to Systems of Linear Equations

Gizmos: Solving Linear Systems



Ms Lebel's lessons:

Systems of inequalities

Polygons of constraints

Optimizing


Gizmos: Systems of Linear Inequalities  or Linear programming


Khan Academy video: Systems of inequalities


Mathocean - written explanations: Solving inequalities


Desmos: Solutions to Systems of Linear Equations or Polygraph System of Linear Inequalities


Class Marker Math SN Secondary 5 : Optimization


Mid-year Evaluations


Desmos Review Activity 

from Meggie Blanchette : Associe la règle au graphique


For C2 : review Vision 1 and 2

For C1 : review Vision 1, 2, 3 and also : 

- step-functions

- piece-wise functions 


Vision 4: Vectors


Review how to solve triangles

Gizmos:

Review of sin, cos, tan

Vectors, other way to see it

Adding vectors



Characteristics of vectors

Vector mazes challenge - Desmos activity

Operations on vectors

Linear Combination and Scalar Product

Class Marker Math SN Secondary 5 : Vectors


Vision 5: Trigonometric Functions


Very good lesson to read online from Lumen Learning on Trigonometric Functions and the Unit Circle 


Trig Tour from PhetInteractive Simulations


Gizmos (you have 5 minutes per activity per day): 

Sine Function

Cosine Function

Translating Sine and Cosine Functions

Tangent Function

Simplifying Trigonometric Expressions

Radian definition and practice to convert degrees to radian

Introduction to the unit circle video - Khan Academy


Interactive Unit Circle to see how to create sin, cos and tan graphs


Desmos: Burning Daylight or Sinusoidale Function Polygraph


To graph a transformed cosine function from PatrickJMT


Allo-prof: la fonction sinus


Sinusoidal Function video - NSCC


Open Middle Problem on Geogebra for sinusoidal function


Tangent Function video - Khan Academy - Arcsin  Arccos  Arctan


Finding the zeros


Solving Trigonometric Equations Video


Trigonometric Identities notes

Proof of Trigonometric Identities video - Khan Academy

Trigonometric Identities on ChallengeU


Watch the videos I made for you on :


5_1: Trigonometric circle    Periodic functions     Sin and cos graphs


5_2: Sinusoidal function   Using Desmos (sinusoidal function)   Finding the rule of the Sinusoidal Function   Tangent function 


5_3: Solving simple trigonometric equations   Solving trigonometric equations   Solving trigonometric inequalities


5_4: Simplifying trigonometric expressions   Solving trigonometric expressions and a word problem   Solving trigonometric expressions using sums and differences


Class Marker Math SN Secondary 5 : Trigonometric Function 1 and Trigonometric Function 2


Can you create a better Easter Egg than this one using Desmos?  answer

                           



Vision 6: Conics


Les coniques à la plage


Creating conic


Video from Khan Academy on circle (in SN5, only centered at the origin!)


Video of Ms Lebel drawing an ellipse with a string and a paper 


Construction of ellipse with Geogebra


Watch the video I recorded on ellipse  or hyperbola (sorry about the sound, it's not great!) or parabolas


Construction of hyperbola with Geogebra


Construction of parabola with Geogebra


Class Marker Math SN Secondary 5 : Conics


END-OF-YEAR REVIEW


Allo-prof: Aide-mémoire or Vidéos (en français) pour expliquer les concepts (choose sec. 5 in the left column) or Préparation pour examens de fin d'année


Review twelve functions - Desmos Activity


Genially - révision finale (en français) de Guy Locas




Other sites:


Mathamaze

AQJM

Geogebra : Download the program or work online using the graphic calculator (or geometry or 3d calculator)

Desmos  (ideas of projects for sec 5 SN) 

University of Waterloo : past contests

AlgebraLAB Lessons

Guy Gervais's website

Jocelyn's Geogebras' activities

Help to find the right career: Tout pour réussir ou Academos

Site de Jean-Michel Panais pour capsules et pratique (en français, mais les maths, c'est des maths!)

Fractal cutout cards or Make fractals with Scratch or Watch this video to show you how to do it quickly

Resource en français : Leçons de Stéphanie Boyer sur tous les sujets de l'année


Socrative: click here (my room code is "misslebel")


To prepare for exams: 

From York University: preparing for tests and exams

Ten study tips or Best ways to prepare for final exams

Alloprof Exam Survial Checklist