CST 504 Syllabus 2016 2017
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This document is a syllabus for a grade 11 mathematics course taught by Mr. MacIntosh. It outlines the course overview, required materials, evaluation breakdown, schedule of topics to be covered each month, and competencies to be evaluated. The course will build on prior math knowledge and cover topics like linear functions, systems of equations, probability, graphs, geometric transformations, trigonometry, and powers and logarithms. Students will be evaluated on their ability to solve situational problems and use mathematical reasoning. Their final grade will be calculated from term and exam marks in these two competencies.
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This document provides information about moles, molar mass, and stoichiometry calculations. It defines a mole as the amount of substance containing 6.02 x 1023 particles and molar mass as the mass of one mole of a substance. Formulas are given for calculating molar mass from elemental compositions and for converting between mass and moles using molar mass. Examples show calculations of molar mass for compounds and conversions between grams and moles for different substances.
Periodic Table
The document discusses key concepts about the periodic table including:
- Locating metals, nonmetals, and metalloids and identifying families such as alkali metals, alkaline earth metals, halogens, and inert gases.
- Describing properties of metals, nonmetals, and metalloids and how they differ.
- Explaining that periods indicate the number of electron shells an element has and families indicate the number of valence electrons.
- Identifying important families on the periodic table including alkali metals, alkaline earth metals, halogens, and inert gases.
Isotopes
Isotopes are atoms of the same element that have different numbers of neutrons. They have the same number of protons and electrons, so they have the same chemical properties. Some isotopes are stable while others are unstable and radioactive. Both stable and radioactive isotopes occur naturally, but radioisotopes are also produced artificially. Radioisotopes have important applications in medicine, industry, research and other areas due to their radioactive properties.
Atomic Structure Radioactivity
Rutherford's gold foil experiment led to a new atomic model. When alpha particles were fired at a thin gold foil, most passed through without deflection, showing atoms are mostly empty space. Some particles bounced straight back, indicating a small, dense nucleus. Others were slightly deflected, proving the nucleus has a positive charge and is the location of an atom's mass. This led Rutherford to propose an atomic model with a small, dense, positively charged nucleus surrounded by orbiting electrons.
Bohr Rutherford Atomic Model
The document describes the Bohr-Rutherford atomic model. It states that the atom consists of a small, dense nucleus containing protons and neutrons, surrounded by electrons in shells. The atomic number equals the number of protons, and a neutral atom has the same number of protons and electrons. Electrons are located in shells outside the nucleus, with the first shell holding 2 electrons and subsequent shells able to hold more. Diagrams illustrate atoms showing their arrangement of subatomic particles. Examples are provided of looking up atomic properties and drawing Bohr-Rutherford diagrams for different elements.
Thompson & Rutherford
This document discusses J.J. Thomson and Ernest Rutherford's atomic models. It summarizes Thomson's cathode ray experiments that discovered the electron. Thomson believed atoms were a uniform positive sphere with electrons embedded in it. The document also describes Rutherford's model with a small, dense positive nucleus surrounded by electrons in orbit. It lists the key properties of cathode rays that revealed electrons are negatively charged and have mass.
Atomic Structure
This document discusses early atomic theories and models of matter. It describes the theories of Aristotle, who believed that matter was continuous with no empty spaces, and Democritus, who proposed that matter was discontinuous and could be divided into smaller particles called atoms. The document then focuses on John Dalton's atomic model from the early 1800s, which proposed that all matter is composed of atoms, atoms of the same element are identical, atoms of different elements differ, and atoms combine in chemical reactions. Dalton's model helped establish the foundations of modern atomic theory.
Vectors Victor
- A vector is a quantity that has both magnitude and direction, represented by an arrow.
- The magnitude (length) of a vector AB is written as ||AB|| and can be calculated as √((x2-x1)2 + (y2-y1)2) for vectors in the Cartesian plane.
- Common vector operations include addition, subtraction, scalar multiplication, and determining the resultant. Chasles' Rule states that AB + BC = AC.
- Vectors can be equal, opposite, collinear, orthogonal, or the zero vector (with magnitude 0 and no direction).
Unit circle
The document discusses the unit circle and trigonometric functions. It provides information on:
- The initial and terminal sides of angles on the unit circle
- The values of sine, cosine, and tangent in each quadrant of the unit circle
- Using Pythagorean theorem to determine values on the unit circle
- Definitions of sine, cosine, and tangent in terms of the x- and y-coordinates on the unit circle
- Rules for transforming basic sine and cosine functions
- Steps for solving trigonometric equations by taking the inverse sine or cosine of both sides.
Trig cheat sheet
The document defines trigonometric functions using right triangles and the unit circle. It lists properties of the trig functions including domain, range, period, formulas, and identities. It also covers inverse trig functions, the laws of sines, cosines, and tangents, and the unit circle.
Trig identities
This document discusses trigonometric identities and how to prove trigonometric statements. It covers basic trigonometric ratios and inverse ratios. It then presents three important trigonometric identities: 1) sin^2(θ) + cos^2(θ) = 1, 2) 1 + tan^2(θ) = sec^2(θ), and 3) 1 + cot^2(θ) = csc^2(θ). It provides examples of proving identities by simplifying expressions using basic identities, operations, and factoring. It also includes sample exam questions on proving an identity and determining an equivalent expression for tan(A) + cot(A).
Trig functions
This document covers trigonometric functions including ratios, identities, and tables of trig values. It introduces radians as another way to measure angles and compares radians to degrees. Formulas are provided for converting between radians and degrees as well as calculating arc length. Examples demonstrate using radians with trig functions and finding arc lengths. The document concludes with activities involving solving problems related to trig ratios, arc measures, and conversions between radians and degrees.
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Chapter-1
Introduction to objective, scope and outcome the subject
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Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
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- 1. PHS Syllabus Mathematics 504 2016 - 2017 Teacher: Mr. MacIntosh T: 819-647-2244 E: nmacintosh@wqsb.qc.ca Course Overview: Math 11 CST is a continuation of the concepts learned in previous years; especially the Grade 9 curriculum content. We will be building on prior knowledge while learning new and interesting topics. Math plays an important role in a person’s social, political and cultural development. Students are responsible for work missed during absences. C1: Solves a situational problem (30%) – be able to relate math concepts to real life scenarios C2: Uses mathematical reasoning (70%) – be able to analyze a situation and solve it using the most effective math methods Required Materials Agenda 3 ring binder Pencil & eraser – for all work Pens – for notes ONLY Lined paper Graph paper Geometry set Positive attitude Scientific calculator Highlighters Resources: Visions textbooks – volume 1 and volume 2 LearnQuebec Website My Advisory Evaluation: Competency Term 1 (20% of year) Term 2 (20% of year) Term 3 (60% of year) Final Year Mark C1: Solves a situational problem. 30% Not formally evaluated 30% 30% 30% 50% Term + 50% Exam Situational Problem 2 x 10% 2 x 10% 4 x 5% C1 Exam 1 x 10% 1 x 10% 1 x 10% C2: Uses mathematical reasoning. 70% 70% 70% 70% 50 % Term + 50 % Exam Tests 3 x 10% 2 x 10% 4 x 5% Quizzes, ICONAs, Assignments 5 x 5% 4 x 5% 3 x 5% C2 Exam 1 x 15% 1 x 30% - Total % per term 100% 100% 100% 100%
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