Scale Factor Projects
Symmetry Projects
Course Summary Review Extra Online Practice
ExamBank Chapter & Course Practice Questions
Math 9 - Section Practice Quizzes
OVERVIEW:
Textbook & Student Workbook Used: Nelson Foundation of Mathematics
Unit 1 - Numbers
A) Rational Numbers
(Interpreting, Comparing, Ordering, Adding, Subtracting, Multiplying & Dividing)
B) Order of Operations
(Calculating with Rational Numbers, Solve Problems Using Guess & Test)
C) Powers, Exponents, and Square Roots
(Modelling Squares & Cubes, Expressing a number as a power, Expressing a number in many ways, Multiplying, Dividing & Combining Powers, Estimating & Calculating Square Roots)
Chapter 1 (Rational Numbers)
PLO's - demonstrate an understanding of rational numbers by comparing and ordering rational numbers; solving problems that involve arithmetic operations on rational numbers; explain and apply the order of operations, including exponents, with and without technology
Section 1.1 - Interpreting Rational Numbers
Section 1.2 - Comparing & Ordering Rational Numbers
Section 1.3 - Adding & Subtracting Rational Numbers
Section 1.4 - Multiplying & Dividing Rational Numbers
Section 1.5 - Order of Operations with Integers & with Rational Numbers
Section 1.6 - Calculating with Rational Numbers
Section 1.7 - Solve Problems Using Guess & Test
Chapter 2 (Powers, Exponents, and Square Roots)
PLO's - demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by representing repeated multiplication using powers, using patterns to show that a power with an exponent of zero is equal to one, and solving problems involving powers; demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents; determine the square root of positive rational numbers that are perfect squares; and determine an approximate square root of positive rational numbers that are non-perfect squares
Section 2.1 - Modelling Squares & Cubes
Section 2.2 - Expressing a number as a power
Section 2.3 - Expressing a number in many ways
Section 2.4 - Multiplying & Dividing Powers
Section 2.5 - Combining Powers
Section 2.6 - Communicate about Calculations with Powers
Section 2.7 - Calculating Square Roots (Perfect squares & Fractions/Decimals)
Section 2.8 - Estimating Square Roots
Unit 2 - Patterns & Relations
A) Patterns
(Describing Relations Algebraically, Graphing Linear Relations, Interpreting the Solution of a Linear Equation, Solving Linear Equations Using Inverse Operations, Equation Solving Strategies, Solve Problems Using Diagrams, Graphing Linear Inequalities, Exploring Operations with Inequalities, Solving a Linear Inequality)
B) Variables and Equations
(Modelling and Exploring with Polynomials, Gathering Like Terms, Adding & Subtracting Polynomials, Multiplying or Dividing a Polynomial by a Monomial)
Chapter 5
PLO's - generalize a pattern arising from a problem-solving context using linear equations and verify by substitution; graph linear relations, analyse the graph, and interpolate or extrapolate to solve problems; model and solve problems using linear equations; explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context;
Section 5.1 - Describing Relations Algebraically
Section 5.2 - Graphing Linear Relations
Section 5.3 - Interpreting the Solution of a Linear Equation
Section 5.4 - Solving Linear Equations Using Inverse Operations
Section 5.5 - Equation Solving Strategies
Section 5.6 - Solve Problems Using Diagrams
Section 5.7 - Graphing Linear Inequalities
Section 5.8 - Exploring Operations with Inequalities
Section 5.9 - Solving a Linear Inequality
Solving & Graph 2-step Linear Inequality
Solve Advanced Linear Inequalities
Solve & Graph Advanced Linear Inequalities
Chapter 6
PLO's - demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2); model, record, and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially, and symbolically (limited to polynomials of degree less than or equal to 2); and model, record, and explain the operations of multiplication and division of polynomial expressions (limited to polynomials of degree less than or equal to 2) by monomials, concretely, pictorially, and symbolically
Section 6.1 - Modelling with Polynomials
Section 6.2 - Exploring Models for Polynomials
Section 6.3 - Gathering Like Terms
Section 6.4 - Adding Polynomials
Section 6.5 - Subtracting Polynomials
Adding & Subtracting Polynomials using tiles
Adding & Subtracting Polynomials
Section 6.6 - Solve Problems using an organized list
Section 6.7 - Multiplying or Dividing a Polynomial by a Monomial
Unit 3 - Shape and Space
A) Measurement
(Relating the Central Angle to an Inscribed Angle, Comparing Inscribed Angles, Chord Properties)
B) 3-D Objects and 2-D Shapes
(Exploring Cube Structures, Composite Objects and their components, Area of Overlap, Calculating Surface area of Composite objects, Solve Problems using Logical reasoning)
C) Similar Polygons
(Enlargements and Reductions, Determining Similarity, Scale Factor, Drawing a similar polygon, Solving Problems Involving Similar Shapes, Communicate about Similarity)
D) Transformations
(Line & Rotation Symmetry, Symmetry in Art & on the Coordinate Plane, Solving Problems Using Diagrams
Chapter 9
PLO's - solve problems and justify the solution strategy using circle properties, including:
-the perpendicular from the centre of a circle to a chord bisects the chord
− the measure of the central angle is equal to twice the measure of the inscribed angle subtended
− by the same arc the inscribed angles subtended by the same arc are congruent
− a tangent to a circle is perpendicular to the radius at the point of tangency
Section 9.1 - Relating the Central Angle to an Inscribed Angle
Section 9.2 - Comparing Inscribed Angles
Section 9.3 - Chord Properties
Chapter 4
PLO's - determine the surface area of composite 3-D objects to solve problems
Section 4.1 - Exploring Cube Structures
Section 4.2 - Composite Objects and their components
Area of Compound Objects
Area between two shapes
Surface Area of Prisms and pyramids
Surface Area of Cones and Cylinders
Surface Area of Spheres
Section 4.3 - Area of Overlap
Section 4.4 - Calculating Surface area of Composite objects
Section 4.5 - Solve Problems using Logical reasoning
Chapter 3
PLO's - demonstrate an understanding of similarity of polygons; draw and interpret scale diagrams of 2-D shapes
Section 3.1 - Enlargements and Reductions
Section 3.2 -Determining Similarity
Similarity Side Lengths & Angle Measures
Congruent Figures Side Lengths & Angle Measures
Congruent Statements & Corresponding Parts
Section 3.3 - Scale Factor
Perimeter, Area, Volume: Changes is scale factor
Section 3.4 - Drawing a similar polygon
Scale Drawings and Scale Factor
Section 3.5 - Solving Problems Involving Similar shapes
Section 3.6 - Communicate about Similarity
Chapter 8
PLO's - demonstrate an understanding of line and rotation symmetry
Section 8.1 - Line Symmetry
Section 8.2 - Rotation Symmetry
Section 8.3 - Symmetry in Art
Section 8.4 - Symmetry on the Coordinate Plane
Reflections and new coordinates
Section 8.5 - Solve Problems Using Diagrams
Unit 4 - Statistics and Probability
A) Data Analysis
(Collecting Data: Asking Appropriate Questions, Bias, Sensitivity, and Method, Selecting a Sample or Population, Communicating about Collected Data
B) Chance & Uncertainty
(Recognizing Probability Situations, Using Probabilities to Make Decisions, Using a Probability to Reach Alternative Conclusions
Chapter 10
PLO's - describe the effect of bias:
− use of language, ethics, cost, time and timing, privacy, cultural sensitivity, on the collection of data
PLO's - select and defend the choice of using either a population or a sample of a population to answer a question
PLO's - develop and implement a project plan for the collection, display, and analysis of data by
--formulating a question for investigation
− choosing a data collection method that includes social considerations
− selecting a population or a sample
− collecting the data
− displaying the collected data in an appropriate manner
− drawing conclusions to answer the question
Section 10.1 - Collecting Data: Asking Appropriate Questions
Section 10.2 - Collecting Data: Bias, Sensitivity, and Method
Section 10.3 - Selecting a Sample or Population
Section 10.4 - Communicating about Collected Data
Chapter 7
PLO's - demonstrate an understanding of the role of probability in society
Identify independent & dependent events
Probability of independent & dependent events
Section 7.1 - Recognizing Probability Situations
Theoretical Probability
Experimental Probability
Compound events: find the number of outcomes
Section 7.2 - Using Probabilities to Make Decisions
Section 7.3 - Communicate about Probability
Section 7.4 - Using a Probability to Reach Alternative Conclusions
This course follows provincial designed curriculum to meet the ministry of education prescribed learning outcomes. Course material is subject to change at the discretion of the teacher.
Course Evaluation:
Classwork/Homework – 40%
Tests – 40%
Quizzes – 20%
Expectations:
1) Students arrive on time and come prepared to each class with textbook, workbook, pencils, paper, and calculator.
2) Students abide by the NO CELL PHONE school policy and leave these at home, in their locker, or in the classroom holding box. If a student is caught with a cell phone the first offense is to have it taken away for the remainder of the class. Second offense the cell phone will be given to administration for the remainder of the day. Third offense the cell phone must be picked up by a parent/guardian.
3) Students are expected to complete homework daily. Students should be spending at least 1-hour daily reviewing assignments in order to be successful in the course.
Textbook & Student Workbook Used: Nelson Foundation of Mathematics
Unit 1 - Numbers
A) Rational Numbers
(Interpreting, Comparing, Ordering, Adding, Subtracting, Multiplying & Dividing)
B) Order of Operations
(Calculating with Rational Numbers, Solve Problems Using Guess & Test)
C) Powers, Exponents, and Square Roots
(Modelling Squares & Cubes, Expressing a number as a power, Expressing a number in many ways, Multiplying, Dividing & Combining Powers, Estimating & Calculating Square Roots)
Chapter 1 (Rational Numbers)
PLO's - demonstrate an understanding of rational numbers by comparing and ordering rational numbers; solving problems that involve arithmetic operations on rational numbers; explain and apply the order of operations, including exponents, with and without technology
Section 1.1 - Interpreting Rational Numbers
Section 1.2 - Comparing & Ordering Rational Numbers
Section 1.3 - Adding & Subtracting Rational Numbers
Section 1.4 - Multiplying & Dividing Rational Numbers
Section 1.5 - Order of Operations with Integers & with Rational Numbers
Section 1.6 - Calculating with Rational Numbers
Section 1.7 - Solve Problems Using Guess & Test
Chapter 2 (Powers, Exponents, and Square Roots)
PLO's - demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by representing repeated multiplication using powers, using patterns to show that a power with an exponent of zero is equal to one, and solving problems involving powers; demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents; determine the square root of positive rational numbers that are perfect squares; and determine an approximate square root of positive rational numbers that are non-perfect squares
Section 2.1 - Modelling Squares & Cubes
Section 2.2 - Expressing a number as a power
Section 2.3 - Expressing a number in many ways
Section 2.4 - Multiplying & Dividing Powers
Section 2.5 - Combining Powers
Section 2.6 - Communicate about Calculations with Powers
Section 2.7 - Calculating Square Roots (Perfect squares & Fractions/Decimals)
Section 2.8 - Estimating Square Roots
Unit 2 - Patterns & Relations
A) Patterns
(Describing Relations Algebraically, Graphing Linear Relations, Interpreting the Solution of a Linear Equation, Solving Linear Equations Using Inverse Operations, Equation Solving Strategies, Solve Problems Using Diagrams, Graphing Linear Inequalities, Exploring Operations with Inequalities, Solving a Linear Inequality)
B) Variables and Equations
(Modelling and Exploring with Polynomials, Gathering Like Terms, Adding & Subtracting Polynomials, Multiplying or Dividing a Polynomial by a Monomial)
Chapter 5
PLO's - generalize a pattern arising from a problem-solving context using linear equations and verify by substitution; graph linear relations, analyse the graph, and interpolate or extrapolate to solve problems; model and solve problems using linear equations; explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context;
Section 5.1 - Describing Relations Algebraically
Section 5.2 - Graphing Linear Relations
Section 5.3 - Interpreting the Solution of a Linear Equation
Section 5.4 - Solving Linear Equations Using Inverse Operations
Section 5.5 - Equation Solving Strategies
Section 5.6 - Solve Problems Using Diagrams
Section 5.7 - Graphing Linear Inequalities
Section 5.8 - Exploring Operations with Inequalities
Section 5.9 - Solving a Linear Inequality
Solving & Graph 2-step Linear Inequality
Solve Advanced Linear Inequalities
Solve & Graph Advanced Linear Inequalities
Chapter 6
PLO's - demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2); model, record, and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially, and symbolically (limited to polynomials of degree less than or equal to 2); and model, record, and explain the operations of multiplication and division of polynomial expressions (limited to polynomials of degree less than or equal to 2) by monomials, concretely, pictorially, and symbolically
Section 6.1 - Modelling with Polynomials
Section 6.2 - Exploring Models for Polynomials
Section 6.3 - Gathering Like Terms
Section 6.4 - Adding Polynomials
Section 6.5 - Subtracting Polynomials
Adding & Subtracting Polynomials using tiles
Adding & Subtracting Polynomials
Section 6.6 - Solve Problems using an organized list
Section 6.7 - Multiplying or Dividing a Polynomial by a Monomial
Unit 3 - Shape and Space
A) Measurement
(Relating the Central Angle to an Inscribed Angle, Comparing Inscribed Angles, Chord Properties)
B) 3-D Objects and 2-D Shapes
(Exploring Cube Structures, Composite Objects and their components, Area of Overlap, Calculating Surface area of Composite objects, Solve Problems using Logical reasoning)
C) Similar Polygons
(Enlargements and Reductions, Determining Similarity, Scale Factor, Drawing a similar polygon, Solving Problems Involving Similar Shapes, Communicate about Similarity)
D) Transformations
(Line & Rotation Symmetry, Symmetry in Art & on the Coordinate Plane, Solving Problems Using Diagrams
Chapter 9
PLO's - solve problems and justify the solution strategy using circle properties, including:
-the perpendicular from the centre of a circle to a chord bisects the chord
− the measure of the central angle is equal to twice the measure of the inscribed angle subtended
− by the same arc the inscribed angles subtended by the same arc are congruent
− a tangent to a circle is perpendicular to the radius at the point of tangency
Section 9.1 - Relating the Central Angle to an Inscribed Angle
Section 9.2 - Comparing Inscribed Angles
Section 9.3 - Chord Properties
Chapter 4
PLO's - determine the surface area of composite 3-D objects to solve problems
Section 4.1 - Exploring Cube Structures
Section 4.2 - Composite Objects and their components
Area of Compound Objects
Area between two shapes
Surface Area of Prisms and pyramids
Surface Area of Cones and Cylinders
Surface Area of Spheres
Section 4.3 - Area of Overlap
Section 4.4 - Calculating Surface area of Composite objects
Section 4.5 - Solve Problems using Logical reasoning
Chapter 3
PLO's - demonstrate an understanding of similarity of polygons; draw and interpret scale diagrams of 2-D shapes
Section 3.1 - Enlargements and Reductions
Section 3.2 -Determining Similarity
Similarity Side Lengths & Angle Measures
Congruent Figures Side Lengths & Angle Measures
Congruent Statements & Corresponding Parts
Section 3.3 - Scale Factor
Perimeter, Area, Volume: Changes is scale factor
Section 3.4 - Drawing a similar polygon
Scale Drawings and Scale Factor
Section 3.5 - Solving Problems Involving Similar shapes
Section 3.6 - Communicate about Similarity
Chapter 8
PLO's - demonstrate an understanding of line and rotation symmetry
Section 8.1 - Line Symmetry
Section 8.2 - Rotation Symmetry
Section 8.3 - Symmetry in Art
Section 8.4 - Symmetry on the Coordinate Plane
Reflections and new coordinates
Section 8.5 - Solve Problems Using Diagrams
Unit 4 - Statistics and Probability
A) Data Analysis
(Collecting Data: Asking Appropriate Questions, Bias, Sensitivity, and Method, Selecting a Sample or Population, Communicating about Collected Data
B) Chance & Uncertainty
(Recognizing Probability Situations, Using Probabilities to Make Decisions, Using a Probability to Reach Alternative Conclusions
Chapter 10
PLO's - describe the effect of bias:
− use of language, ethics, cost, time and timing, privacy, cultural sensitivity, on the collection of data
PLO's - select and defend the choice of using either a population or a sample of a population to answer a question
PLO's - develop and implement a project plan for the collection, display, and analysis of data by
--formulating a question for investigation
− choosing a data collection method that includes social considerations
− selecting a population or a sample
− collecting the data
− displaying the collected data in an appropriate manner
− drawing conclusions to answer the question
Section 10.1 - Collecting Data: Asking Appropriate Questions
Section 10.2 - Collecting Data: Bias, Sensitivity, and Method
Section 10.3 - Selecting a Sample or Population
Section 10.4 - Communicating about Collected Data
Chapter 7
PLO's - demonstrate an understanding of the role of probability in society
Identify independent & dependent events
Probability of independent & dependent events
Section 7.1 - Recognizing Probability Situations
Theoretical Probability
Experimental Probability
Compound events: find the number of outcomes
Section 7.2 - Using Probabilities to Make Decisions
Section 7.3 - Communicate about Probability
Section 7.4 - Using a Probability to Reach Alternative Conclusions
This course follows provincial designed curriculum to meet the ministry of education prescribed learning outcomes. Course material is subject to change at the discretion of the teacher.
Course Evaluation:
Classwork/Homework – 40%
Tests – 40%
Quizzes – 20%
Expectations:
1) Students arrive on time and come prepared to each class with textbook, workbook, pencils, paper, and calculator.
2) Students abide by the NO CELL PHONE school policy and leave these at home, in their locker, or in the classroom holding box. If a student is caught with a cell phone the first offense is to have it taken away for the remainder of the class. Second offense the cell phone will be given to administration for the remainder of the day. Third offense the cell phone must be picked up by a parent/guardian.
3) Students are expected to complete homework daily. Students should be spending at least 1-hour daily reviewing assignments in order to be successful in the course.