## 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

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

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

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

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

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-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

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

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

Section 3.3 - Scale Factor

*Perimeter, Area, Volume: Changes is scale factor*

Section 3.4 - Drawing a similar polygon

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

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

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

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− 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

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

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.