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[C] Communication [CN] Connections [ME] Mental Math and Estimation [PS] Problem Solving [R] Reasoning [T] Technology [V] Visualization CHAPTER 1: Rational Numbers Specific Outcomes: (Number Strand) 3. Demonstrate an understanding of rational numbers by: Comparing and ordering rational numbers Solving problems that involve arithmetic operations on rational numbers [C, CN, PS, R, T, V] 4. Explain and apply the order of operations, including exponents, with and without technology. [PS, T] Getting Fraction Patterns Started 1.1 Interpreting Rational Numbers 1.2 Comparing and Ordering Rational Numbers 1.3 Adding and Subtracting Rational Numbers 1.4 Multiplying and Dividing Rational Numbers Mid-Chapter Review 1.5 Order of Operations with Rational Numbers 1.6 Calculating with Rational Numbers 1.7 Solve Problems Using Guess and Test Chapter Review Chapter Creating a Game Task Math 9 Page 1 [C] Communication [CN] Connections [ME] Mental Math and Estimation [PS] Problem Solving [R] Reasoning [T] Technology [V] Visualization CHAPTER 2: Powers, Exponents, and Square Roots Specific Outcomes: (Number Strand) 1. 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 Solving problems involving powers [C, CN, PS, R] 2. Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents. (am )(an ) amn a m a n a mn , m n (a m )n a mn (ab) m a mb m a an ( )n n , b 0 b b [C, CN, PS, R, T] Determine the square root of positive rational numbers that are perfect squares. [C, CN, PS, R, T] 2. Determine an approximate square root of positive rational numbers that are non-perfect squares. [C, CN, PS, R, T] Getting Product Display all Started 2.1 Modeling Squares and Cubes 4,5,9,10,11,12,15,17 2.2 Expressing a Number as a Power 3,5,6,9,10,13,16,19 Math Super Powers Game 2.3 Expressing a Number in Many Ways all 2.4 Multiplying and Dividing Powers 3,4,7,8,9,10,16 Mid-Chapter Review All SCORE out of 37 2.5 Combining Powers 3,4,8,13,16 2.6 Communicate about Calculations with 3,4,5,6,8,10,11 Powers 2.7 Calculating Square Roots 4,5,10,14,16,21 2.8 Estimating Square Roots 4,5,7,10,14 Chapter Review All SCORE out of 52 Chapter Testing Skills Task 1. Math 9 Page 2 [C] Communication [CN] Connections [ME] Mental Math and Estimation [PS] Problem Solving [R] Reasoning [T] Technology [V] Visualization CHAPTER 3: Similar Polygons Specific Outcomes: (Shape and Space ( #3:3-D Objects and 2-D Shapes, #4: Transformations) Strand) 3. Demonstrate an understanding of similarity of polygons. [C, CN, PS, R, V] 4. Draw and interpret scale diagrams of 2-D shapes. [CN, R, T, V] Getting Sorting Swatches Started 3.1 Enlargements and Reductions 3.2 Determining Similarity 3.3 Scale Factors Curious Similarity in the Human Body Math Mid-Chapter Review 3.4 Drawing a Similar Polygon 3.5 Solving Problems Involving Similar Shapes 3.6 Communicate about Similarity Chapter Review Chapter Painting the School Emblem Task CHAPTER 4: Measurement Specific Outcomes: (Shape and Space (3-D Objects and 2-D Shapes) Strand 2. Determine the surface area of composite 3-D objects to solve problems. [C, CN, PS, R, V] Getting Comparing Surface Areas All Started 4.1 Exploring Cube Structures All 4.2 Composite Objects and Their Components 5,8,11,12 4.3 Area of Overlap 3,6,8 Mid-Chapter Review 1-4 4.4 Calculating the Surface Area of Composite 3,4,5,13,14 Objects Math Greatest Areas Game Curious The Art of Reutersvard Math 4.5 Solve Problems Using Logical Reasoning 2a,4,6 Chapter Review 1,2,4,5,6,8ab,11,12 Chapter Designing a Cat Play Structure Task Math 9 Page 3 [C] Communication [CN] Connections [ME] Mental Math and Estimation [PS] Problem Solving [R] Reasoning [T] Technology [V] Visualization CHAPTER 5: Linear Relations, Equations, and Inequalities Specific Outcomes: (Patterns and Relations (Patterns) Strand) 1. Generalize a pattern arising from a problem-solving context using linear equations and verify by substitution. [C, CN, PS, R, V] 2. Graph linear relations, analyze the graph and interpolate or extrapolate to solve problems. [C, CN, PS, R, T, V] 3. Model and solve problems using linear equations of the form: ax b x b, a 0 a ax b c x b c, a 0 a ax b cx a ( x b) c ax b cx d a(bx c) d (ex f ) a b, x 0 x Where a ,b, c, d, e and f are rational numbers [C, CN, PS, V] 4. Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context. [C, CN, PS, R, V] Getting Started 5.1 Curious Math 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 Chapter Task Math 9 Dragon Boats all Describing Relations Algebraically Crossing the T 1,3,5,8,9,11,12,15,17,18 all Graphing Linear Relations Interpreting the Solution of a Linear Equation Solving Linear Equations Using Inverse Operations Mid-Chapter Review Equation-Solving Strategies Solve Problems Using Diagrams Graphing Linear Inequalities Exploring Operations with Inequalities Solving a Linear Inequality Chapter Review Reducing Your Carbon Footprint 1,3,4,6,8,10,13,14,18 1,4a,c,e,5b,d,6,7,10-13 1,4a,b,f,5,7,8,9c,d,12a,c,15 all 2,4,6,7aa,c,8,11,13,18 1,3,4b,5c,e,6,7,10,11 1,3,5,8,10,11,15 all 1,3a,5,6,8,9b,c,12,14 Page 4 [C] Communication [CN] Connections [ME] Mental Math and Estimation [PS] Problem Solving [R] Reasoning [T] Technology [V] Visualization CHAPTER 6: Polynomials Specific Objectives: (Patterns and Relations (Variables and Equations) Strand 5. Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2) [C, CN, R, V] 6. 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). [C, CN, PS, R, V] 7. 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. [C, CN, R, V] Getting Using Algebra to Describe Perimeters Started 6.1 Modeling with Polynomials 6.2 Exploring Models for Polynomials 6.3 Gathering Like Terms 6.4 Adding Polynomials Mid-Chapter Review 6.5 Subtracting Polynomials 6.6 Solve Problems Using an Organized List Math Target 10 Game 6.7 Multiplying or Dividing a Polynomial by a Monomial Curious Pythagorean Polynomials Math Chapter Review Chapter Algebra Tile Puzzles Task Math 9 Page 5 [C] Communication [CN] Connections [ME] Mental Math and Estimation [PS] Problem Solving [R] Reasoning [T] Technology [V] Visualization CHAPTER 7: Probability Specific Outcomes: (Statistics and Probability (Chance and Uncertainty) Strand) 4. Demonstrate an understanding of the role of probability in society. [C, CN, R, T] Getting Fair or Unfair Game? Started 7.1 Recognizing Probability Situations 7.2 Using Probabilities to Make Decisions 7.3 Communicate about Probability Math Which is Which? Game 7.4 Using a Probability to Reach Alternative Conclusions Chapter Review Chapter Choosing a Menu Task CHAPTER 8: Symmetry Specific Outcomes: (Shape and Space (Transformations) Strand) 5. Demonstrate an understanding of line and rotation symmetry. [C, CN, PS, V] Getting Square Symmetry Started 8.1 Line Symmetry 8.2 Rotation Symmetry 8.3 Symmetry in Art Curious Kaleidoscopes Math Mid-Chapter Review 8.4 Symmetry on the Coordinate Plane Math What’s the Message? Game 8.5 Solve Problems Using Diagrams Chapter Review Chapter Symmetrical T-shirt Designs Task Math 9 Page 6 [C] Communication [CN] Connections [ME] Mental Math and Estimation [PS] Problem Solving [R] Reasoning [T] Technology [V] Visualization CHAPTER 9: Circle Geometry Specific Outcomes: (Shape and Space (Measurement) Strand) 1. 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 [C, CN, PS, R, T, V] Getting Designing Jewellery Started 9.1 Exploring Inscribed Polygons 9.2 Relating the Central Angle to an Inscribed Angle 9.3 Comparing Inscribed Angles 9.4 Chord Properties Mid-Chapter Review 9.5 Applying Chord Properties 9.6 Tangent Properties Curious Lunar Eclipse Math 9.7 Solve Problems by Using an Experiment Math Circo Game Chapter Review Chapter Designing a Circular House Task Math 9 Page 7 [C] Communication [CN] Connections [ME] Mental Math and Estimation [PS] Problem Solving [R] Reasoning [T] Technology [V] Visualization CHAPTER 10: Data Collection and Analysis Specific Outcomes: (Statistics and Probability (Data Analysis) Strand) 1. Describe the effect of: Bias Use of language Ethics Cost Time and timing Privacy Cultural sensitivity On the collection of data. [C, CN, R, T] 2. Select and defend the choice of using either a population or a sample of a population to answer a question. [C, CN, PS, R] 3. 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 [C. PS, R, T, V] Getting Picking a Winner Started 10.1 Collecting Data: Asking Appropriate Questions 10.2 Collecting Data: Bias, Sensitivity, and Method 10.3 Selecting a Sample or Population 10.4 Communicating about Collected Data Curious Weird and Wonderful Maps Math Chapter Review Chapter Data Project Task Math 9 Page 8