Department of Mathematics St. Edmund Campion Secondary School MAT2L1 Course Outline Primary Textbook: Math Essentials 10 (Workbook) Evaluation Structure: Knowledge/Understanding Application: Communication: Thinking/Inquiry: 30% 30% 20% 20% The above is reflected both in the term work (worth 70% of the final mark) and the summative work (work 30% of the final mark). Summative work consists of the Final Exam (30%). Unit 0: Prerequisite Skills Days 1 (8 days) Topic/Expectations Reference Practice Number Translations handout Number Sense Number Diagnostic B (indiv) Place Value/Write in Numerals (Draw big place value chart on chart paper, do ex’s on board – naming numbers, writing numbers) PRIME Number Diagnostic B 2 Number Sense Rounding numbers Add/Subtract p. 6 (gr 9 ess wb – Skills Practice 2) p. 10 (Skills Practice 3) 3-4 Money Review Importance of learning about money (Discussion with class) Rounding to the nearest cent Making change (Est. and Exact) Total cost of several items p. 14 (9 ess wb – Skills Practice 3), do p. 16 #2 -3 on board Making Change Worksheet Real life Problems Worksheet 5 Proportional Reasoning Review Difference btw Ratio/Decimal/Percent (Discussion, write def’ns) Convert btw Fraction and Decimal Frac <-> Dec <-> Percent handout (gr 9 Applied stuff) p. 188 (gr 9 ess wb – Skills Practice 17) p.12 (Skills Practice 4) 6 Proportional Reasoning Review Convert btw metric measurements (Draw metric conversion chart on chart paper, p. 110 (gr 9 ess wb – Tech Tip)? Spectrum p.81 do ex’s on board – convert m cm, cm mm, etc.) Multiplying fractions by a whole number (if time permits) 7 Review/Practice Test 8 Diagnostic Test Find Someone Who… TOPIC #1: Money Unit 1: Working With Money Day 1 2 Topic/Expectations 1.1 – Looking for Work (Investigating part time jobs, amts of time, Warm Up (In Pairs) Skills Practice 1 Skills Practice 2 – Working with Large Numbers (12 days) Reference/ Class Work p. 1 – 5 p. 5 (#1 – 2) 3 1.2 – Rates of Pay (Calc. weekly, monthly, yearly earnings) p. 8 – 9, 11 4 1.3 – Take Home Pay (Solve problems using percents and commission earnings) 1.4 – You Deserve a Pay Raise (Interpret graphs, calc pay) 1.5 – Can You Afford It? (Budgeting, Creating Graphs, Interpreting Diff Types of Graphs) Oprah’s Debt Diet Video: Episodes 1, 2 (Optional) Oprah’s Debt Diet Video: Rest of 2, 4 p. 12 – 15 Grp Activity: Find out how much your favourite sports/ entertainment personality makes and what could be done for charity with that money. Write a proposal, best proposal wins a prize. p.11 (Check) Math Journal (build on day before): How long would you have to work at your job to make as much money as your favourite celebrity? Are they worth it? p. 15 (#1 -2) p. 16 – 19 p. 19 (#1 – 2) p. 20 – 23 p. 23 (#1 – 2) 5 6 7 8 p. 6 - 7 Practice 9 (Optional) Tech Tip: Creating Bar and Circle Graphs 10 11 12 Review Task: Saving Up (Use as APP mark for test) TEST p. 24 - 27 p. 28 – 29 p.30 Unit 2: Extending Money Concepts Day 1 Topic/Expectations (10 days) Reference Practice 2.1 – Tuning Your Estimating Skills (Estimating Taxes) 2.2 – Clothing Sale (Estimating/Calculating Discount Prices) Skills Practice 6: Writing Cheques p. 32 – 35 p. 35 (#1 – 2) p. 36 – 39 p. 39 (Check) p. 40 – 41 Handout p. 42 - 45 p. 45 (#1 -2) p.46 – 49 p. 49 (Check) p. 50 – 53 p. 53 (#1 - 2) 8 2.3 – What Do I Owe? (Estimating, rounding, calculating percents) 2.4 – The Price of Getting Fit (Estimating and calculating total prices) Quiz/Task: Buying an outfit (discount, taxes, total price and change to buy an outfit – maybe try American Eagle website – build an outfit?) 2.5 – Graphs Can Be Misleading (identifying misleading graphs) Review 9 Task: Party On! (Used as APP mark for Test) 10 TEST 2 3 4 5 6 7 p. 54 - 55 TOPIC #2: Measurement Unit 3: Metric Measurement Days 1 2 Topic/Expectation 3.1 – Introduction to Metric Measure (Number sense, approximation, measurement) 3.2 – Metric Lengths (Personal references, approximation, measurement) (9 days) Reference Practice p. 58 – 61 p. 61 (Check) p. 62 – 65 p. 65 (Check) -Grp Activity: Measure length, width and height of classroom, with each grp using diff. referents 3 4 5 6 Measure/Estimate Capacity and Mass using Metric System Skills Practice 8: Ratios -see grade 9 ess. notes 3.3 – A Matter of Scale (using ratios and measurement, scales) 3.4 – From Here to There (using scale, ratio, measurement) p. 68 – 71 p. 71 (Check) p. 72 – 75 p. 75 (Check) -Pairs Activity: Use a map of Brampton to find the actual distance from Campion to your house, the mall, etc. p. 76 - 77 7 Review 8 Task: Hiking the Bruce Trail (Used as APP mark for test) TEST 9 p. 78 Unit 4: Imperial Measurement Days 1 2 3 4 5 6 7 8 9 10 Topic/Expectation (10 days) Reference 4.1 – We Still Use Imperial (Identify imperial measures; equivalent fractions) 4.2 – Reading Imperial Measure (Measuring fractions of an inch, ordering fractions, rounding measurements) Skills Practice 9: Rounding Imperial Measures p. 79 – 83 4.3 – Measuring Imperial Lengths (measuring using Imperial units, converting btw imp. Units) Skills Practice 10: Converting Among Imperial Units 4.4 – What’s the Distance? (estimating, using personal references) 4.5 – Floor Plans (Interpreting and creating scale drawings using imp. System) Review p. 88 - 89 Task: Create a 3D scale model of something you use at school (workbook, pencil, calculator, etc) (used as APP mark for test) TEST Practice p. 83 (Check) p. 84 – 85 p. 86 - 87 p. 87 (Check) -Pairs Activity: Measure your partners’ height in inches and in feet and inches p. 90 – 91 p. 91 (#1 – 2) p. 92 – 95 p. 95 (Check) p. 96 – 99 p. 99 (Check) p. 100 – 101 TOPIC #3: Circles Unit 5: Circles Days 1 Topic/Expectations (7 days) Reference Practice 5.1 – Measuring Circles (Identifying parts of a circle, measuring lengths) 5.2 – How Are Circumference and Diameter Related? (Find approx. value for pi, est. circumference) 5.3 – More About Pi (Calc. circumference of a circle) p. 104 – 107 p. 107 (Check) p. 108 - 111 p. 111 (Check) p. 112 – 114 4 5.4 – Formulas for Circumference (Circumference formulas, perimeter of semi and quarter circles) p. 116 – 119 5 p. 120 – 123 6 5.5 – Perimeters of Composite Shapes (calc. perimeter of composite shapes w/ semi or quarter circles) Review p. 114 (#1 – 2) p. 115 (Skills Practice 11) p. 119 (#1 – 2) Grp Activity: Measure circumference of diff cans (one per group) and compare measurement to calculation p. 123 (#1 – 3) 7 TEST 2 3 p. 124 - 125 Unit 6: Circles and Angles Days 1 2 3 4 5 Topic/Expectations (7 days) Reference 6.1 – Fractions of Circles p. 127 – (identify equivalent fractions, calc. decimal and percent equivalents) -Start with Introduction (p. 127) 6.2 – Measures of Angles p. 132 – (identify common angles and est. measure of angles) -Introduce protractor! (Monina Handout) 6.3 – Drawing Circle Graphs p. 136 – (create circle graphs) 6.4 – Reading Circle Graphs p. 140 – (interpret graphs) Review Practice 130 p. 131 (Skills Practice 12 and Check) 135 Protractor practice 139 p. 139 (Check) 143 p. 143 (Check) Pairs Activity: Find a (circle) graph in a news article and explain it to class p. 148 – 149 6 7 Task: Sports Survey (used as APP mark on test) -Visit other math classes and ask to complete survey -Complete in pairs (each person submits copy of work) TEST p. 150 Summative Evaluation Days 1 Topic/Expectations 2 Introduction to Culminating Activity Activity 1 Day 1 Activity 1 Day 2 3 Activity 2 Day 1 4 Activity 2 Day 2 5 Activity 3 Day 1 6 Activity 3 Day 2 7 Presentations 8 Presentations (8 days) Reference Practice Subtotal – approximately 63 days (not including optional units – see below) Summative Assessment Allow approximately 8 days for Summative Activity (as described above) Allow approximately 3 days for review time prior to the formal final examination. Total – approximately 74 days Unit 7: Circles and Cylinders (*If time permits) Days Topic/Expectations Reference 1 9.1 – Area of a Circle (calc. the area of a circle) p. 244 – 247 2 9.2 – Area of Sectors (find area of fractions of circles) 9.3 – Volume of a Cylinder (calc. volume of cylinder) p. 248 – 251 9.4 – Working With Volume Units -May not complete all (kind of difficult) Review p. 258 – 261 Task: Packing Drums (Used as APP mark for test) TEST p. 264 3 4 5 6 7 (7 days) p. 252 – 255 Practice p. 247 (Check) – HW Check Grp activity: Measure area of circular lids using concrete materials (i.e. # of smarties) and calculate area using formula, then compare p. 251 (Check) – Math Journal p. 255 (#1 – 3) p. 256 – 257 (Skills Practice 23) p. 262 - 263 Unit 8: Ratio, Proportion and Percent (*If time permits) (12 days) Day 1 2 3 4 5 6 7 8 Topic/Expectations Reference Practice 7.1 – Talk Ratio and Rate (Using ratios and rates) -Review: Fractions <->Decimals<->Percents (5 min) -Introduction to Proportions (p. 151) Skills Practice 13: Equivalent Ratios p.152 – 155 7.2 – Party Mixes (Working with ratios as part of a whole) 7.3 – The Artist in You (Increasing area and mixes in proportion, equivalent ratios) Skills Practice 14: Working With Line Graphs Tech Tip: Line Graphs 7.6 – Personal Spaces (Finding unit rates) 7.7 – Take a Number (Finding unit rates, comparing rates in diff. units) 7.8 – Where Will It All Go? (Solving problems involving rates, decimals, p.158 – 161 p. 161 (Check) p.162 – 165 p.165 (Check) p.155 (#1-3) p.156-157 p.166 – 167 p.192 – 193 p.176 – 179 p. 179 (#1-3) p.180 – 183 p. 183 (#1-2) p.184 – 187 p.187 (#1-2) 10 percent) 7.9 – Drive Green and Save (Using ratios and rates, proportions, line graphs) Review 11 12 TEST EXTRA – Grocery Shopping/Unit Rates? 9 p.188 – 191 p.191 (Check) p.194 - 195