Grade 10 Academic Course Outline - Revised Feb Unit 1: Linear Systems (15 days)
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1 Grade 10 Academic Course Outline - Revised Feb Unit 1: Linear Systems (15 days) TOPICS METHODOLOGY 1 Communication Activity Activities in pairs Overhead diagrams Or Preparedness formative Quiz 2 Modelling Real Life Problems - Review of Linear Equations and Independent/Dependent Variables 3 Review Graphing Linear Equations (This is not a ministry expectation. But it is important enough to review) Investigation Part#1 Answer questions #1-7 Mini-Lesson on Ind/dep Review: Slope & y- intercept and then Investigation P Solving Systems of Equations using Substitution overheads: P Solving Systems of Equations using Elimination (simple form) 6 Solving Systems of Equations using Elimination (advanced form) 7 Translating English to Math "Who Wants to be a Mathematician?" (game) TEXT INFORMATION / Homework Activity and Communication Journal P.50 #1ac,2c,4abdf P.5 #5ad,6ad,7ad,8cd P. 26 #1ab,2ab,3,4ab,5a,12,13 overheads P.40 #1a,2b,3a,4a,5ad,7b,10,19b P overheads P.40 #12ac,13,18,20 P Booklet: P.1 P.17 #1-3 8 Word Problems*- Investments+Money *Solve problems that arise from realistic situations described in words or represented by linear systems of two equations involving two variables by overhead Investment Booklet: P.2 #7 (set up only), P.46 #4 Money Booklet: P.3 #13 (set up only), P.27 #9,10,16 choosing an appropriate algebraic or graphical method 9 Word Problems*- Mixture overhead P.47 #9,10,13,14 Booklet: P.3 #11,12 10 Word Problems*- Distance overhead Booklet: P.3 #13,10 (set up only), P.2 #8,9 (set up only) P.46 #7,8 11 Word Problems*- Overview Complete Booklet 12 Review (day 1) Worksheets P.48 #2,3,4ab,6,7,9b,10ab,12d,13,14,16, Summative Quiz 14 Review (day 2) Game (rally math) P.50 #1,3,4ac,5,6ac,7bd,8,11,12,13,15, 16ac,17,18,19 15 Test Day
2 Unit 2: Analytic Geometry (13 days) 1 Distance Formula Performance Task/Assessment: Helicopter Assignment P.77 #1ac,2ac,4,5,6,10,12,19,25* 2 Develop the Equation for a Circle with the Centre of (0,0) and radius r by applying the length of a line formula Activity- Full Service : x 2 +y 2 =r 2 P.96 #1acd,2ab,3ac,4ac,6,7 3 Develop the formula for the midpoint of a line segment and use it to solve problems Define: Median and Perpendicular (Right) Bisector (Use glossary page Develop the formula for the length of a Lesson P.55 #5-8 line segment and use this formula to solve problems (Part 1) P.66: 1ac, 2ab, 5, 6, 12, 13, 22, 28ad 5 Develop the formula for the length of a line segment and use this formula to solve problems (Part 2) Worksheet Worksheet 6 Properties of a Line Segment Performance Assessment P.67 #8,16,17,19 7 Triangle Properties Definitions: Types of Triangles: scalene, isosceles, equilateral, right angled, median, altitude, perpendicular bisector Complete Investigation (Method #1 only) on page 80. P.89 #1-6,9,10,18,20,21 8 Quadrilaterals Properties Lesson P.124 #3,7,9 P.143 # 4, 7, 9, 12, 14 9 Verify Characteristics of Quadrilaterals, Triangles & Circle given Vertices (Ex: Given coordinates of the vertices P.126 #14ac verify that the line segment joining the P.152 #4,5,8 midpoints of two sides is parallel to the P.150 #5 third side and what s its length. Given coordinates of a rectangle, verify that the diagonals of the rectangle bisect each other) 10 Review P.100 #1-5,6a,7af,8,9abc,10,11,12,13 (shortest distance is the perpendicular distance), 14,15ac,16,17,18 P.152 #1a,4,5,8,9a,10,11 11 Summative Quiz 12 Review P.104 #1-7,8abcd,9,10,11,12ab,14 P.154 #6,7a,8,12 13 Test Day
3 Unit 3A: Quadratics Factoring (9 days) 1 Expand & Simplify second degree polynomial expressions Algetiles P.217 #1, 2ab, 3ae, 4ab, 6adh, 7ab, 8bc, 10 P.225 #1a, 2ad, 3a, 6bd, 12 2 Common Factoring - Review P.234 #1bf, 2a, 3afh, 4, 5ad, 7ad, 8, 10, 11, 14, 15a, 16 3 Factor Simple Trinomials Algetiles P.240 #1a, 3ab, 4, 5, 7abef, 8a, 9ac, 11ab, 12, 15, 16ab 4 Difference of Squares Perfect Square Trinomials P.253 #1abcf, 2, 3abd, 4abd, 6ab, 8abd, 9ab, 10bc, 15, 20abc 5 Complex Trinomials- Decomposition Algetiles P.246 #2eoo, 3eoo, 4eoo, 6eoo, 7a, 11, 17a, 18a 6 Review Worksheets P.256 #1eoo,2eoo,3,7adf,8-12,13c,14-16, Summative Quiz 8 Review Game P.258 #1-3, 5-16, 18 9 Unit 3A Test Unit 3B: Zeros of a Quadratics (10 Days) 1 Quadratic Relations Differences Between Linear and Non-Linear 2 Discovering First and Second Differences Graphing Linear and Non- Linear Worksheet - Oil's Not Well P.254 #2(ii) P.280 #1 3 Solve Quadratics by Factoring P.279 #1adeg,2acfg,3abde,5abef, 6ac,7,9a,11,13,14,21bi*,ii 4 Quadratic Formula P.300 #1bd, 2ac, 6, 9ade, 11, *21 5 Problem Solving P.312 #3,6,9,11,12,18 Discuss the Difference Between Real and Non-real Roots Use Examples P.312 #1 and P.313 #2 6 Problem Solving Take-up Take up Full Solutions to the Homework Questions P.313 #19,20,21,22,24,27a 7 Review Worksheets P.316 #4,5,6,10,11,13 P.318 #2,5,6,10,13,16b,17,18 8 Summative Quiz 9 Review P.320 #1,13,16,19,20 P.441 #34,35ac P.444 #56,57,59,60,62 10 Unit 3B Test (50 minutes) (includes expectations from unit 3A)
4 Unit 3C: Quadratics and Completing the Square (12 days) 1 Transformations of a Quadratic: Part 1 Introduce/Review: vertex, equation of axis of symmetry, roots, directions of opening Discovery Worksheets P.178 #1,3ab,4aceh,6,8,13 2 Transformations of a Quadratic: Part 2 Discovery Worksheets P.178 #4adf,5d,7ab,12a 3 Graphing and Analyzing: y=a(x-h) 2 +k P.185 #1eoo, 3, 4, 6, 8, 10, 11 4 Maximum and Minimum Values of a Quadratic Relation Sketch y=ax 2 +bx+c using a graphing calculator Investigation - Graphing Calculators P Do Practice 270:1-5ace (include sketch) P.271 #9 (Include a sketch of the graphs and indicate the max and min points on each graph) 5 Using Zeros to Find the Vertex-Midvalue P.289 #3,4,5ae,6b,7b Method & Sketch y=ax 2 +bx+c:using Example #1 on P P.288 #1,2 (Extra practice) x & y intercepts and symmetry 6 Completing the Square (no fractions) (y=x 2 +bx+c) P.270 #2adf, 3eoo,4bc,5,6 7 Completing the Square (Day 2) (y=ax 2 +bx+c) *Read "Did you know?" bottom of P.270#7,10,11eoo,17ab*,19ab* Develop Quadratic Formula with students page 273 using completing the square (students are not responsible to prove the Quad. Formula) Sketch y=ax 2 +bx+c using the method of completing the square 8 Max/Min problems-solve problems represented by a graph or a quadratic equation with and without the use of technology P.271 #14,23,24, P.311 #2a,17abcd 9 Review Worksheet P.316 #2ac,3a,7acdf,8,9,14 10 Summative Quiz 11 Review Game P.318 #1b,3,4ab,8,9,12,16 12 Test Day (includes expectations from units 3A & 3B)
5 Unit 4: Trigonometry (12 days) 1 Review: P.326 #1, 3, 5 P.328 #9 1. Rates, Ratios & Proportion 2. Angle Theorems 3. Congruent/Similarity 2 Comparing Congruent & Similar Triangles Investigation P.336 (ruler and protractor required) P.333 #1,2,4-8,13,16 Journal: Page 333 (top of page) C1a,b 3 Modeling Similar Triangles P.347 #1, 3, 5, 6,a,b,e, 9, 11, 14, *20 4 Trigonometric Ratios (SOH CAH TOA) 5 Solving Right Angled Triangles Using Trig Ratios ( SOH CAH TOA) 6 Solving Right Angled Triangles Using Trig Ratios ( SOH CAH TOA): Part 2 P.362 #1eoo, 3eoo P.372 #1eoo, 2eoo, 3ab, 4ab P.362 #4abc, 5ab, 6ab, 8, 10, 12, 15 P.372 #6ac, 7ac, 8a, 9a, 10a,f, 15, 16, 21, *29, *33 P.374 #12 P.380 #5, 6, 11, 15 7 Sine Law P.402 #1a, 2a, 3a, 4a, 5a, 7a, 10, 11, 12, 20 8 Cosine Law P.409 #1a, 2a, 3a, 4, 5a, 7, 8, 15, 16 P.418 #1a, 2a, 3a 9 Review P.386 #1ab,2,3,5,6,8,9,10,11,14,15ac,16 ad,17,19,21ac,27,28,29 10 Summative Quiz P.430 # Review P.390 #1-3,4ace,5ace,6,7,8,10,13 P. 432 #1-10,13,14,16 12 Test Day P.434#1,3ab,4ac,5a,6,8-11,14,15,16
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