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Algebraic Connections Pacing Guide Suggested Book List 1st Grade All Sorts of Numbers – counting * Henry the Fourth – ordinal numbers * 3 Little Firefighters – sorting * It’s About Time! * Bug Dance * The Best Vacation Ever – data collecting, problem solving skills * Count on Clifford 2nd Grade Amanda Bean’s Amazing Dream – multiplication * Clocks and More Clocks - time * Much Bigger than Martin – size “Slowly, Slowly, Slowly” said the Sloth * Lemonade for Sale - money * 100 Days of School – counting to 100 * Biggest Bed in the World – size * Give Me Half – halves rd 3 Grade Sir Cumference and the Dragon Pi * Grandfather’s Tang Story - changing shape * Chicken Soup with Rice – months * Counting on Frank – size comparison, math facts, counting * Hershey’s Milk Chocolate Bar Fraction * How Much is a Million Mummy Math: An Adventure in Geometry * Millions of Cats * Three Days on a River in a Red Canoe 4th Grade Carry On, Mr. Bowditch Sir Cumference and the Great Knight of Angle Land – acute, obtuse, straight angles Sir Cumference and the Sword in the Cone – cubes, pyramids, prisms Sir Cumference and the First Round Table – measurement * A Million Fish…More or Less Dear Mr. Henshaw A Higher Geometry * The Village of Round and Square Houses - shape 5th Grade * How the Second Grade Got $8205.50 to Visit the Statue of Liberty – money Hannah, Divided The Secret Life of Amanda K. Woods – probability Tuck Everlasting – calculate population Gulliver’s Travel – geometry Jayden’s Rescue – problem solving The Curious Incident of the Dog in the Night – time, probability The Heroic of Hercules Amsterdam – counting 6th Grade The Da Vinci Code – Fibonacci Sequence The Twenty-one Balloons – mathematical reasoning Journey to Topaz – measurement 7th Grade The Sand-Reckoner – problem solving The Pearl – currency calculation Middle – High School Imaginary Numbers Mathematics in the Time of Pharaohs Medieval Chinese Innovations Math Talk: Mathematical Ideas in Poems for Two Voices High School Against the Odds – number theory Five Equations that Changed the World The Man Who Loved Only Numbers Math Equals: Biographies of Women Mathematical Scandels Archimede’s Revenge – application of math Calculus and Pizza * denotes AR books Page 1 of 8 Algebraic Connections Pacing Guide 1st Nine Weeks Textbook Correlation Pacing Guide AMSTI 6.4 1 ½ weeks Cookies 7.4 1 ½ weeks Cookies 7.7 1 ½ weeks Cookies Big Ideas / Essential Question Essential Vocabulary AHSGE Corrlelations Proportion, capturerecapture method, inverse variation Exponential functions, natural base VII-7 Throughout Year: 7. Make predictions based upon tables or graphs from societal contexts. Example: making predictions about population change or employment rate AHSGE Review 2. Solve problems using direct, inverse, and joint variation. 3. Use formulas or equations of functions to calculate outcomes of exponential growth or decay. Example: problems involving compound interest, bacterial growth, carbon-14 dating, depreciation, cooling point in chemistry 6. Use the extreme value of a given quadratic function to solve applied problems. Example: determining the cost needed to maximize profit 4. Determine maximum and minimum values of a function using linear programming procedures. Example: Given the boundaries x ≥ 0, y ≥ 0, 2x – 3y + 15 ≥ 0, and x ≤ 9, find the maximum and minimum values of f(x, y) = 3x + 5y. Linear programming, objective function, constraints, vertex Page 2 of 8 Technology Based Lessons / Links Algebraic Connections Pacing Guide 1st Nine Weeks Textbook Correlation Pacing Guide 10. Use arc length and sector area to solve applied problems. Supplement 1 week 11. Critique the appropriateness of measurements in terms of precision, accuracy, and approximate error. Example: determining whether one candidate has a significant lead over another candidate when given their current standings in a poll and the margin of error. Enrichment Project Supplement 1 ½ weeks AMSTI Big Ideas / Essential Question Essential Vocabulary Arc, arc length, sector, sector area 2 weeks Exams Page 3 of 8 AHSGE Corrlelations Technology Based Lessons / Links Algebraic Connections Pacing Guide 2ND Nine Weeks Textbook Correlation 1. Use algebraic and geometric techniques to make financial and economic decisions, including those involving banking and investments, insurance, personal budgets, credit purchases, recreation, and deceptive and fraudulent pricing and advertising. Example: banking – determining the best choice of certificates of deposit, savings accounts, checking accounts, or loans; credit purchases – comparing the costs of fixed- or variable-rate mortgage loans, comparing the costs associated with various credit cards; personal budgets – determining the best price for long distance phone service. Generating, manually or with technology tools, graphs and tables related to personal finance and economics. Example: using computer software to create an amortization table for a mortgage loan or a circle graph for a personal budget Enrichment Project Supplement: Pacing Guide Checking and Savings Accounts 2 weeks Credit Cards 1 ½ weeks Insurance 1 ½ weeks Budgets 2 ½ weeks AMSTI Big Ideas / Essential Question Essential Vocabulary AHSGE Correlation Technology Based Lessons / Links Writing checks: http://www.mvsc.k12.in.us/mhs/ro w/Law%20ppts/Chapter%2024.1.pp t 1 ½ weeks Exams Page 4 of 8 Algebraic Connections Pacing Guide 3rd Nine Weeks Textbook Correlation Pacing Guide 1. Use algebraic and geometric techniques to make financial and economic decisions, including those involving banking and investments, insurance, personal budgets, credit purchases, recreation, and deceptive and fraudulent pricing and advertising. Example: banking – determining the best choice of certificates of deposit, savings accounts, checking accounts, or loans; credit purchases – comparing the costs of fixed- or variable-rate mortgage loans, comparing the costs associated with various credit cards; personal budgets – determining the best price for long distance phone service. Generating, manually or with technology tools, graphs and tables related to personal finance and economics. Example: using computer software to create an amortization table for a mortgage loan or a circle graph for a personal budget 8.2 – 8.5 5 ½ weeks Interest, principal, rate, simple interest, future value, present value, Banker’s Rule, discounted loan, discount, compound interest, compounding period, compounded – annually, semiannually, quarterly, effective annual yield, effective rate, nominal rate, annual percentage rate, down payment, fixed installment loan, unearned interest, actuarial method, Rule of 78, payoff amount, unpaid balance method, revolving credit, itemized billing, mortgage, mortgage brokers, points, escrow account, amortized 9. Analyze the aesthetics of real-life situations using line symmetry, rotational symmetry, or the golden ratio. 13.2 – 1 ½ weeks Symmetry, rotational symmetry Enrichment Project AMSTI Big Ideas / Essential Question symmetry only 1 week Page 5 of 8 Essential Vocabulary AHSGE Correlation Technology Based Lessons / Links Algebraic Connections Pacing Guide 4 Nine Weeks Textbook Correlation Pacing Guide 5. Approximate rates of change of nonlinear relationships from graphical and numerical data. Graphing information from tables, equations, or classroom-generated data to model consumer costs and to predict future outcomes. 12.1 1 ½ weeks 13. Model a set of data by estimating the equation of a curve of best fit from tables of values or scatterplots. Predicting or analyzing election results, population change, inflation 12.5 1 ½ weeks 8. Determine missing information in an application-based situation by using the properties of right triangles, including trigonometric ratios. Example: application – construction or landscaping problem 10.6 1 ½ weeks th AMSTI Big Ideas / Essential Question 14. Estimate probabilities given a frequency distribution. Making decisions on the basis of probabilities. Page 6 of 8 Essential Vocabulary AHSGE Correlation Statistics, data, population, sample, frequency distribution, frequency, histogram, lower and upper class limit, class width, stemand-leaf plot, stem, leaf Scatter plot, correlation, regression line, positive and negative correlation Trigonometry, adjacent, opposite, hypotenuse, sine, cosine, tangent VII-6 Technology Based Lessons / Links Algebraic Connections Pacing Guide 4th Nine Weeks Textbook Correlation Pacing Guide 12. Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. Example: using a blueprint or scale drawing of a house to determine the amount of carpet to be purchased 10.2 (scale drawings) 1½ weeks Enrichment Project 1 week Juniors – Algebra I Review in preparation of Algebra II 2 weeks AMSTI Big Ideas / Essential Question Essential Vocabulary AHSGE Corrlelations Scale drawings, similar figures, correspondin g angles and sides, triangles – acute, obtuse, right, isosceles, equilateral, scalene, legs, hypotenuse, Pythagorean theorem IV-1, VII-3, VII7 Seniors – Exam Review for early release Page 7 of 8 Technology Based Lessons / Links Algebraic Connections Pacing Guide Page 8 of 8