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CORRELATION SUNSHINE STATE STANDARDS & GRADE LEVEL EXPECTATIONS SUBJECT: SUBMISSION TITLE: Interactive Mathematics Program PUBLISHER: Key Curriculum Press GRADE: STRAND: Number Sense, Concepts, and Operations ______ STANDARD: The student understands the different ways numbers are represented and used in the real world. (MA.A.1.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M* EXPECTATIONS WHERE TAUGHT 1. associates verbal Throughout all units, all four years. names, written word Specifically Complex Numbers: names, and standard YEAR 4 numerals with integers, rational numbers, Know How irrational numbers, real Complex Numbers: pp. 236-239 I numbers, and complex numbers.1, 2, 3 2. understands the relative Throughout all units, all four years. size of integers, rational numbers, irrational numbers, and real numbers.1, 2 3. understands concrete Throughout all units, all four years. and symbolic Specifically Complex Numbers: representations of real, *Indepth/Mentioned 1 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M* EXPECTATIONS WHERE TAUGHT and complex numbers in YEAR 4 real-world situations.1, 2, 3 Know How Complex Numbers: pp. 236-239 I 4. understands that YEAR 1 numbers can be The Game of Pig represented in a variety of I O to 1, or Never to Always: pp. 113 equivalent forms, I Portraits of Probabilities: pp. 117-118 including integers, I Mystery Rugs: pp. 121 fractions, decimals, I Coins, Coins, Coins: pp. 125 percents, scientific I One-and-One: pp. 135 notation, exponents, I A Sixty- Percent Solution: pp. 136 radicals, absolute value, I The Theory of One-and-One: pp. 137 and logarithms.1, 2, 3 I Streak-Shooting Shelly: pp. 138 Martian Basketball: pp. 144 I YEAR 2 Do Bees Build It Best? Make the Lines Count: pp. 231 M Simply Square Roots: pp. 255 I All About Alice A New Kind of Cake: pp. 289 I Piece after Piece: pp. 390 I Many Meals for Alice: pp. 392 I In Search of the Law: pp. 393 I Having Your Cake and Drinking Too: pp. 394-395 I Continuing the Pattern: pp. 397-398 I Negative Reflections: pp. 399 I Stranger Piece of Cake: pp. 406 I Confusion Reigns: pp. 407-408 I All Roads Lead to Rome: pp. 409-410 I 2 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M* EXPECTATIONS WHERE TAUGHT Sending Alice to the Moon: pp. 413 I Alice on a Log: pp. 414 I Taking Logs to the Axes: pp. 415 I YEAR 3 Small World, Isn’t It? The Sound of a Logarithm: pp. 339-340 I A Basis For Disguise: pp. 345-346 I STRAND: Number Sense, Concepts, and Operations ______ STANDARD: The student demonstrates understanding of number systems. (MA.A.2.4). BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. understands and uses YEAR 3 the basic concepts of Small World Isn’t It? limits and infinity.2, 3 The Instant of Impact: pp. 313 M Doctor‟s Orders; pp. 314 M Photo Finish: pp. 315 M Speed and Slope: pp. 316 M ZOOOOOOM: pp. 317 M The Growth of the Oil Slick: pp. 318 M Speeds, Rates, and Derivatives: pp. 319-320 M Zooming Free-for-All: pp. 321 M YEAR 4 The World of Functions Don‟t Divide That!: pp. 283-284 I Difficult Denominators: pp. 285 I Return of the Shadow: pp. 286 I An Average Drive: pp. 287 I Approaching Infinity: pp. 288 I The End of a Function: pp. 289 I I 3 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT Creating the Ending You Want: pp. 290 2. understands and uses Throughout all units, all four years. the real number system.1, 2, 3 3. understands the YEAR 4 structure of the complex Know How number system.3 Complex Numbers: pp. 236-239 I 4 STRAND: Number Sense, Concepts, and Operations ______ STANDARD: The student understands the effects of operations on numbers and the relationships among these operations, selects appropriate operations, and computes for problem solving. (MA.A.3.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. understands and YEAR 2 explains the effects of Do Bees Build It Best? addition, subtraction, Simply Square Roots: pp. 245 I multiplication, and All About Alice division on real numbers, A New Kind of Cake: pp. 289 M including square roots, Piece after Piece: pp. 390 I exponents, and Many Meals for Alice: pp. 392 I appropriate inverse In Search of the Law: pp. 393 I relationships.1, 2 Having Your Cake and Drinking Too: pp. 394-395 I Continuing the Pattern: pp. 397-398 I Negative Reflections: pp. 399 I Stranger Piece of Cake: pp. 406 I Confusion Reigns: pp. 407-408 I All Roads Lead to Rome: pp. 409-410 I 2. selects and justifies YEAR 2 alternative strategies, such Solve It! as using properties of A Lot of Changing Sides: pp. 39 I numbers, including Why Are They Equivalent?: pp. 40-41 I inverse, identity, On Each Way: pp. 42 I distributive, associative, Distributing the Area: pp. 43-44 I transitive, that The Distributive Property and Mystery Lots: pp. 45- I Mathematics allow 46 operational shortcuts for Views of the Distributive Property: pp. 47-49 I computational procedures in real-world or mathematical problems.1, 2 All About Alice Piece after Piece: pp. 390 I Many Meals for Alice: pp. 392 I In Search of the Law: pp. 393 I Having Your Cake and Drinking Too: pp. 394-395 I 5 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT Continuing the Pattern: pp. 397-398 I Negative Reflections: pp. 399 I Stranger Piece of Cake: pp. 406 I Confusion Reigns: pp. 407-408 I All Roads Lead to Rome: pp. 409-410 I I YEAR 3 Meadows or Malls? Things We Take for Granted: pp. 242 I Finding an Inverse: pp. 243 I Inverses and Equations: pp. 244 I Calculators Again: pp. 245 I 3. adds, subtracts, Throughout all units, all four years. multiplies, and divides real numbers, including For example: square roots and exponents, using YEAR 2 appropriate methods of Do Bees Build It Best? computing, such as Simply Square Roots: pp. 245 I mental mathematics, All About Alice paper and pencil, and A New Kind of Cake: pp. 289 I calculator.1, 2 Piece after Piece: pp. 390 I Many Meals for Alice: pp. 392 I In Search of the Law: pp. 393 I Having Your Cake and Drinking Too: pp. 394-395 I Continuing the Pattern: pp. 397-398 I Negative Reflections: pp. 399 I Stranger Piece of Cake: pp. 406 I Confusion Reigns: pp. 407-408 I All Roads Lead to Rome: pp. 409-410 I STRAND: Number Sense, Concepts, and Operations ______ 6 STANDARD: The student uses estimation in problem solving and computation. (MA.A.4.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. uses estimation Throughout all units, all four years. strategies in complex situations to predict For example: results and to check the reasonableness of YEAR 2 results.1, 2, 3 Do Bees Build It Best? Approximating Area: pp. 204-205 I Any Two Sides Work: pp. 228-229 M STRAND: Number Sense, Concepts, and Operations ______ STANDARD: The student understands and applies theories related to numbers. (MA.A.5.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. applies special number YEAR 1 relationships such as Patterns sequences and series to Describing Patterns: pp. 9 M real-world problems.1, 2 Squares and Scoops: pp. 56 M YEAR 3 Pennant Fever Binomials and Pascal – Part I: pp. 455 M Binomials and Pascal – Part II: pp. 456 M “Race for the Pennant!” Revisited: pp. 459 M 7 STRAND: Measurement ______ STANDARD: The student measures quantities in the real world and uses the measures to solve problems. (MA.B.1.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. uses concrete and YEAR 2 graphic models to derive Do Bees Build It Best? formulas for finding Nailing Down Area: pp. 202-203 I perimeter, area, surface Approximating Area: pp. 204-205 I area, circumference, and How Many Can You Find?: pp. 206 I volume of two- and three- That‟s All There Is!: pp. 207 I dimensional shapes, An Area Shortcut?: pp. 208 I including rectangular Halving Your Way: pp. 208-209 I solids, cylinders, cones, The Ins and Outs of Are: pp. 210 I and pyramids.1, 2 Going into the Gallery: pp 213-214 I Forming Formulas: pp. 215 I Rectangles Are Boring!: pp. 242 I More Fencing, Bigger Corrals: pp. 243 I More Opinions About Corrals: pp. 244 I Flat Cubes: pp. 25 I Flat Boxes: pp. 253 I Not a sound: pp. 254 I A Voluminous Task: pp. 255-256 I Put Your Fist into It: pp. 257 I The Ins and Outs of Boxes: pp. 258 I A Sculpture Garden: pp. 259 I Shedding Light on Prisms: pp. 262-263 I Back on the Farm: pp. 266 I Which Holds More?: pp. 267 I Cereal Box Sizes: pp. 268-269 I YEAR 3 Orchard Hideout Squaring the Circle: pp. 90-91 I Using the Squared Circle: pp. 92-93 I Hexagoning the Circle: pp. 94 I Octagoning the Circle: pp. 95 I Polygoning the Circle: pp. 96 I 8 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT Cylindrical Soda: pp. 115-116 I 2. uses concrete and YEAR 1 graphic models to derive The Overland Trail formulas for finding rate, What We Needed: pp. 256-257 I distance, time, angle Catching Up: pp. 275-276 I measures, and arc Water for One More: pp. 277 I lengths.1, 2 Catching Up by Saturday Night: pp. 278 I Catching Up at Auburn: pp. 279-280 I Getting the Gold: pp. 285 I YEAR 3 Small World Isn’t It? How Many More People?: pp. 285-286 M Growing Up: pp. 287 M Story Sketches: pp. 289-290 I What a Mess!: pp. 291 I Traveling Time: pp. 292-293 I Comparative Growth: pp. 294 I If Looks Don‟t Matter, What Does?: pp. 295-297 I Formulating the Rate: pp. 299 I Rates, Graphs, Slopes, and Formulas: pp. 300-301 I 3. relates the concepts of YEAR 1 measurement to similarity Shadows and proportionality in Draw the Same Shape: pp. 415-416 I real-world situations.1, 2, 3 How the Shrink It?: pp. 417 I The Statue of Liberty‟s Nose: pp. 418 I Make It Similar: pp. 419 I Similar Problems: pp. 426-427 I From Top to Bottom: pp. 430 I Ins and Outs of Proportion: pp. 444-445 I Now You See It, Now You Don‟t: pp. 449 I Mirror Magic: pp. 450-451 I Mirror Madness: pp. 452 I 9 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT To Measure a Tree: pp. 453-454 I The Sun Shadow Problem: pp. 462 I The Return of the Tree: pp. 463 I 10 STRAND: Measurement ______ STANDARD: The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard and metric/customary). (MA.B.2.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. selects and uses direct YEAR 1 (measured) or indirect Shadows (not measured) methods Now You See It, Now You Don‟t: pp. 449 M of measurement as Mirror Magic: pp. 450-451 M appropriate.1, 3 Mirror Madness: pp. 452 M To Measure a Tree: pp. 453-454 I The Sun Shadow Problem: pp. 462 I The Return of the Tree: pp. 463 I YEAR 2 Do Bees Build It Best? Nailing Down Area: pp. 202-203 I Approximating Area: pp. 204-205 I How Many Can You Find: pp. 206 I An Area Shortcut?: pp. 208 I Halving Your Way: pp. 209 I The Ins and Outs of Area: pp. 210 I Forming Formulas: pp. 215 I 2. solves real-world YEAR 1 problems involving rated Overland Trail measures (miles per hour, Catching Up: pp. 275-276 I feet per second).1 Water for One More: pp. 277-278 I Catching Up by Saturday Night: pp. 278 I Catching Up at Auburn: pp. 279-280 I YEAR 3 Small World Isn’t It? What a Mess!: pp. 291 I Traveling Time: pp. 292-293 I Wake Up!: pp. 303 I 11 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT YEAR 4 High Dive As the Ferris Wheel Turns: pp. 12-13 M STRAND: Measurement ______ STANDARD: The student estimates measurements in real-world problem situations. (MA.B.3.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. solves real-world and YEAR 1 mathematical problems The Overland Trail involving estimates of Planning to the Long Journey: pp. 205-206 I measurements, including Lunchtime: pp. 208 I length, time, weight/mass, POW 10: On Your Own: pp. 236-237 I temperature, money, perimeter, area, and YEAR 2 volume, and estimates the Do Bess Build It Best? effects of measurement Approximating Area: pp. 204-205 M errors on calculations.1, 2, 3 An Area Shortcut?: pp. 208 M Falling Bridges: pp. 247 I 12 STRAND: Measurement ______ STANDARD: The student selects and uses appropriate units and instruments for measurement to achieve the degree of precision and accuracy required in real-world situations. (MA.B.4.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. determines the level of YEAR 2 accuracy and precision, Do Bees Build It Best including absolute and Falling Bridges: pp. 247 I relative errors or tolerance, required in real- world measurement situations. 2. selects and uses Throughout all units, all four years. appropriate instruments, technology, and techniques to measure quantities in order to achieve specified degrees of accuracy in a problem situation. 13 STRAND: Geometry and Spatial Sense ______ STANDARD: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes. (MA.C.1.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. uses properties and YEAR 1 relationships of geometric Patterns shapes to construct formal Polygon Angles: pp. 52 M and informal proofs.1, 2, 3 A Proof Gone Bad: pp. 53 M YEAR 1 Overland Trail Catching Up: pp. 275-276 I Triangular Counterexamples: pp. 423 I Why Are Triangles Special?: pp. 425 I Are Angles Enough?: pp. 428-429 I What‟s Possible?: pp. 431-432 I What‟s the Angle?: pp. 437 I More About Angles: pp. 440 I Inside Similarity: pp. 441 M YEAR 2 Do Bees Build It Best? Proof by Rugs I YEAR 3 Orchard Hideout Only Two Flowers: pp. 71 M A Perpendicularity Proof: pp. 72 I From Two Flowers to Three: pp. 73 M Perpendicular and Vertical: pp. 85 I Another Kind of Bisector: pp. 97-98 I Proving Triples: pp. 99 I STRAND: Geometry and Spatial Sense ______ 14 STANDARD: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed. (MA.C.2.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. understands geometric YEAR 1 concepts such as Shadows perpendicularity, Draw the Same Shape: pp. 415-416 M parallelism, tangency, How the Shrink It?: pp. 417 M congruency, similarity, The Statue of Liberty‟s Nose: pp. 418 I reflections, symmetry, Make It Similar: pp. 419 I and transformations Similar Problems: pp. 426-427 I including flips, slides, From Top to Bottom: pp. 430 I turns, enlargements, More About Angles: pp. 440 M rotations, and fractals.1, 2, 3 A Parallel Proof: pp. 442-443 I Ins and Outs of Proportion: pp. 444-445 I Now You See It, Now You Don‟t: pp. 449 I Mirror Magic: pp. 450-451 I Mirror Madness: pp. 452 I To Measure a Tree: pp. 453-454 I The Sun Shadow Problem: pp. 462 I The Return of the Tree: pp. 463 I YEAR 2 Do Bees Build It Best? POW 9: Tessellation Pictures: pp. 234-236 I A-Tessellating We Go: pp. 271 I YEAR 3 Orchard Hideout Only Two Flowers: pp. 71 M A Perpendicularity Proof: pp. 72 I From Two Flowers to Three: pp. 73 M Perpendicular and Vertical: pp. 85 I Another Kind of Bisector: pp. 97 M YEAR 4 As the Cube Turns An Animated Shape: pp. 124 I Some Back and Forth: pp. 127-128 I 15 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT Move That Line: pp. 134 I Goin‟ Round the Origin: pp. 143 I Comin‟ Round Again (and Again . . .): pp. 150 I Swing That Line!: pp. 156 I Flipping Points: pp. 170-171 I Further Flips: pp 175 I Mirrors in Space: pp. 182 I Follow That Point!: pp. 185 I One Turn of a Cube: pp. 186 I Rotation Matrix in Three Dimensions: pp. 187 I 2. analyzes and applies YEAR 3 geometric relationships Meadows or Malls? involving planar cross- What Do They Have in Common? M sections (the intersection Trying Out Triples: pp. 185 M of a plane and a three- Just the Plane Facts: pp. 188 M dimensional figure).3 YEAR 4 As the Cube Turns An Animated Outline: pp. 181 M One Turn of a Cube: pp. 186 I 16 STRAND: Geometry and Spatial Sense ______ STANDARD: The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically. (MA.C.3.4 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. represents and applies YEAR 1 geometric properties and Shadows relationships to solve real- Similar Problems: pp. 426-427 I world and mathematical Inventing Rules: pp. 435-436 I problems including ratio, More Triangles for Shadows: pp. 461 I proportion, and properties The Return of the Tree: pp. 463 I of right triangle Right Triangle Ratios: pp. 464 I trigonometry.1, 2, 3 The Tree and the Pendulum: pp. 468-469 I Smokey and the Dud: pp. 470-471 I The Sun Shadow: pp. 472 I Your Opposite Is My Adjacent: pp. 473 I YEAR 2 Do Bees Build It Best? A Right-Triangle Painting: pp. 216 I More Gallery Measurements: pp. 222-223 I Shadows and Sailboats: pp. 224 I YEAR 3 Orchard Hideout Polygoning the Circle: pp. 96 M Hiding in the Orchard: pp. 119 M 2. using a rectangular YEAR 3 coordinate system Orchard Hideout (graph), applies and Sprinkler in the Orchard: pp. 78 I algebraically verifies The Distance Formula: pp. 79 I properties of two and A Snack in the Middle: pp. 81 I three-dimensional figures, Proving with Distance – Part I: pp. 83 I including distance, Proving with Distance – Part II: pp. 88 I midpoint, slope, 17 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT parallelism, and YEAR 3 perpendicularity.1, 2, 3 Meadows or Malls? M What Do They Have in Common?: pp. 184 (Three-Dimensional) Small World Isn’t It? I If Looks Don‟t Matter, What Does?: pp. 295-297 I Formulating the Rate: pp. 299 I Rates, Graphs, Slopes, and Formulas: pp. 300-301 I More About Tyler‟s Friends: pp. 302 18 STRAND: Algebraic Thinking ______ STANDARD: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions. (MA.D.1.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. describes, analyzes, and YEAR 1 generalizes relationships, Patterns patterns, and functions Describing Patterns: pp. 9 M using words, symbols, Inside Out: pp. 15-16 M variables, tables, and Consecutive Sums: pp. 28-29 M graphs.1, 2, 3 Pulling Out Rules: pp. 30-31 M Another In-Outer: pp. 47-48 I Squares and Scoops: pp. 56 I Cutting Through the Layers: pp. 61-62 I Overland Trail Out Numbered: pp. 230-232 M Situations, Graphs, Tables, and Rules: pp. 233 I Rules, Tables, and Graphs: pp. 234-235 I The Basic Student Budget: pp. 248-249 I More Graph Sketches: pp. 258 I Fair Share on Chores: pp. 263-264 I Fair Share for Hired Hands: pp. 265 I More Fair Share on Chores: pp. 266-267 I More Fair Share for Hired Hands: pp. 268 I Water Conservation: pp. 272 I The Big Buy: pp. 273 I Water for One More: pp. 277 I Catching Up at Auburn: pp. 279-280 I The Pit and the Pendulum Bird Houses: pp. 367 I So Little Data, So Many Rules: pp. 368 I Graphs in Search of Equations I: pp. 370 I Graphs in Search of Equations II: pp. 371 I Graphs in Search of Equations III: pp. 375 I The Thirty-Foot Prediction: pp. 376 I YEAR 2 19 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT Solve It! Building a Foundation: pp. 9 Running on the Overland Trail: pp. 15 I What Will It Answer?: pp. 31-32 I Line It Up: pp. 35 I Where‟s Speedy?: pp. 80 I To the Rescue: pp. 82 I Swinging Pendulum: pp. 83 I Functioning in the Math World: pp. 85-87 I Cookies I Healthy Animals: pp. 315 Feasible Diets: pp. 323 I Picturing Pictures: pp. 324 I You Are What You Eat: pp. 331 I Changing What You Eat: pp. 334 I Rock „n‟ Rap: pp. 335 I A Reflection on Money: pp. 343 I All About Alice I A Wonderland Lost: pp. 386 A New Kind of Cake: pp. 389 I Piece After Piece: pp. 390 I Many Meals for Alice: pp. 392 I Having Your Cake and Drinking Too: pp. 394-395 I Continuing the Pattern: pp. 397-398 I It‟s in the Graph: pp. 402-403 I Stranger Pieces of Cake: pp. 406 I Confusion Reigns: pp. 407-408 I All Roads Lead to Rome: pp. 409-410 I Measuring Meals for Alice: pp. 411 I I YEAR 3 Meadows or Malls? Heavy Flying: pp. 163-164 Programming Puzzles: pp. 169-171 I Donovan Meets the Beatles: pp. 172 I 20 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT What Wood Would Woody Want?: pp. 174 I Widening Woody‟s Woodwork: pp. 175 I How Much After How Long?: pp. 179-180 I More Cookies: pp. 186-187 I Solving with Systems: pp. 189 I Finishing Off the Cookies: pp. 197 I Easy Does It!: pp. 199-200 I Get Rid of Those Variables!: pp. 201 I Ming‟s New Maneuver: pp. 208 I Let Me Count the Ways: pp. 209-210 I Eastside Westside Story: pp. 217-218 I Ages, Coins, and Fund-Raising: pp. 221 I Small World, Isn’t It? I Story Sketches: pp. 289-290 What a Mess!: pp. 291 I Rates, Graphs, Slopes, and Formulas: pp. 300-301 I More About Tyler‟s Friends: pp. 302 I Wake Up!: pp. 303 I California, Here I Come!: pp. 304-305 I Small but Plentiful: pp. 330-331 I The Forgotten Account: pp. 335 I Blue Book: pp. 347 I California and Exponents: pp. 348 I Double Trouble: pp. 350 I Return to Small World, Isn‟t It?: pp. 359-360 I I YEAR 4 The World of Functions Entire Unit I 2. determines the impact YEAR 3 when changing Orchard Hideout parameters of given Daphne‟s Dance Floor: pp. 107-108 M functions.1, 2, 3 21 STRAND: Algebraic Thinking ______ STANDARD: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations. (MA.D.2.4) BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. represents real-world YEAR 1 problem situations using Patterns finite graphs, matrices, Add It Up: pp. 32-34 M sequences, series, and Squares and Scoops: pp. 56 M recursive relations.1, 2, 3 YEAR 3 Meadows or Malls? Inventing and Algebra: pp. 224-226 I Flying Matrices: pp. 229-230 I Matrices in the Oven: pp. 231 I Fresh Ingredients: pp. 233-234 I Calculators to the Rescue: pp. 235-236 I 2. uses systems of YEAR 1 equations and inequalities Overland Trail to solve real-world Fair Share on Chores: pp. 263-264 M problems graphically, Fair Share for Hired Hands: pp. 265 M algebraically, and with More Fair Share on Chores: pp. 266-267 M matrices.2, 3 More Fair Share for Hired Hands: pp. 268 M Water Conservation: pp. 272 I The Big Buy: pp. 273 I YEAR 2 Cookies Healthy Animals: pp. 315 M Feasible Diets: pp. 323 M Picturing Pictures: pp. 324 M Curtis and Hassan Make Choices: pp. 328 M You Are What You Eat: pp. 331 M Changing What You Eat: pp. 334 M 22 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT Rock „n‟ Rap: pp. 335 M Rock „n‟ Rap Variation: pp. 336 M Going Out for Lunch: pp. 338 M Get the Point: pp. 340 M Only One Variable: pp. 341 I Set It Up: pp. 342 I A Reflection on Money: pp. 343 I More Linear Systems: pp. 346 I “How Many of Each Kind?” Revisited: pp. 348-349 I A Charity Rock: pp. 350 I Back on the Trail: pp. 351 I Big State U: pp. 352 I Inventing Problems: pp. 353 I Just for Curiosity‟s Sake: pp. 359 I YEAR 3 Meadows or Malls? Heavy Flying: pp. 163-164 I Programming and Algebra Reflections: pp. 166 I Programming Puzzles: pp. 169-171 I Donovan Meets the Beatles: pp. 172 I Finding the Corners Without the Graph: pp. 173 I What Wood Would Woody Want?: pp. 174 I Widening Woody‟s Woodwork: pp. 175 I More Equations: pp. 176 I How Much After How Long?: pp. 179-180 I More Cookies: pp. 186-187 I Solving with Systems: pp. 189 I Finishing Off the Cookies: pp. 197 I Easy Does It!: pp. 199-200 I Get Rid of Those Variables!: pp. 201 I Gardener‟s Dilemma: pp. 203-204 I Elimination in Three Variables: pp. 205 I More Equation Elimination: pp. 206 I Ming‟s New Maneuver: pp. 208 I Let Me Count the Ways: pp. 209-210 I Three Variables, Continue: pp. 211 I 23 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT Grind It Out: pp. 212 I Eastside Westside Story: pp. 217-218 I Ages, Coins, and Fund-Raising: pp. 221 I Matrices in the Oven: pp. 231-232 I Fresh Ingredients: pp. 233-234 I Calculators to the Rescue: pp. 235-236 I Solving the Simplest: pp. 241 I Inverses and Equations: pp. 244 I Calculators Again: pp. 245 I Meadows or Malls? Revisited: pp. 250 I 24 STRAND: Data Analysis and Probability ______ STANDARD: The student demonstrates understanding and uses the tools of data analysis for managing information. BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. interprets data that has YEAR 1 been collected, organized, The Overland Trail and displayed in charts, Wagon Train Sketches and Situations: pp. 223-224 I tables, and plots.1, 2 Graph Sketches: pp. 225-226 M Previous Travelers: pp. 239-241 I Sublette‟s Cutoff: pp. 24-245 I Who Will Make It?: pp. 246-247 I The Basic Student Budget: pp. 248-249 I Out of Action: pp. 250-251 I The Pit and the Pendulum What‟s Normal?: pp. 325 I Flip, Flip: 327 I What‟s Rare?: pp. 328 I Mean School Data: pp. 331-332 I Data Spread: pp. 335-336 I Dinky and Minky Spread Data: pp. 337-338 I Standard Pendulum Data and Decisions: pp. 354 I A Picture Is Worth a Thousand Words: pp. 357-359 I The Thirty-Foot Prediction: pp. 376 I YEAR 2 Is There Really a Difference? Fair Dice: pp. 123 M Loaded or Not?: pp. 124 M The Dunking Principle: pp. 125 I How Different Is Really Different?: pp. 128 I Whose Is the Unfairest Die?: pp. 129 I Different Flips: pp. 148 I 25 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 2. calculates measures of YEAR 1 central tendency (mean, The Pit and the Pendulum median, and mode) and Penny Weight: pp. 330 I dispersion (range, Mean School Data: pp. 331-332 I standard deviation and Data Spread: pp. 335-336 I variance) for complex sets Dinky and Minky Spread Data: pp. 337-338 I of data and determine the The Best Spread: pp. 343 I most meaningful measure Making Friends with Standard Deviation: pp. 344- I to describe the data.1, 2, 3 345 Deviations: pp. 346 I Penny Weight Revisited: pp. 347 I 3. analyzes real-world YEAR 1 data and makes The Pit and the Pendulum predictions of larger Can Your Calculator Pass This Soft Drink Test?: I populations by applying pp. 350-351 formulas to calculate The Thirty-Foot Prediction: pp. 376 M measures of central tendency and dispersion YEAR 4 using the sample The Pollster’s Dilemma population data and using Entire Unit I appropriate technology, including calculators and computers.1, 2, 3 26 STRAND: Data Analysis and Probability ______ STANDARD: The student identifies patterns and makes predictions from an orderly display of data using concepts of probability and statistics. BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. determines YEAR 1 probabilities using The Game of Pig counting procedures, Paula‟s Pizza: pp. 112 I tables, tree diagrams and The Theory of Two-Dice Sums: pp. 124 I formulas for permutations Coins, Coins, Coins: pp. 125 I and combination.1, 2, 3 Two-Dice Sums and Products: pp. 126 I YEAR 3 Pennant Fever Playing with Probabilities: pp. 397 I Choosing for Chores: pp. 400 I Baseball Probabilities: pp. 401 I How Likely Is All Wins?: pp. 403 I Go for the Gold!: pp. 404 I Diagrams, Baseball, and Losing „em All: pp. 405 I Day-of-the-Week Matches: pp. 410 I “Day-of-the-Week Matches” Continued: pp. 411 I Monthly Matches: pp. 412 I The Real Birthday Problem: pp. 413 I Six for the Defense: pp. 414 I And If you Don‟t Win „em All?: pp. 416 I But Don‟t Lose „em All, Either: pp. 417 I The Good and the Bad: pp. 418 I Five for Seven: pp. 433 I More Five for Sevens: pp. 434 I The Perfect Group: pp. 439 I About Bias: pp. 444 I Stop! Don‟t Walk!: pp. 448 I “Race for the Pennant!” Revisited: pp. 459 I 27 BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 2. determines the YEAR 1 probability for simple and The Game of Pig compound events as well What Are the Chances?: pp. 110-111 M as independent and Paula‟s Pizza: pp. 112 I dependent events.1, 2, 3 Rug Games: pp. 115-116 I Portraits of Probabilities: pp. 117-118 I Mystery Rugs: pp. 121-122 I The Theory of Two-Dice Sums: pp. 124 I Coins, Coins, Coins: pp. 125 I Two-Dice Sums and Products: pp. 126 I YEAR 3 Pennant Fever Playing with Probabilities: pp. 397 I Choosing for Chores: pp. 400 I Baseball Probabilities: pp. 401 I How Likely Is All Wins?: pp. 403 I Go for the Gold!: pp. 404 I Diagrams, Baseball, and Losing „em All: pp. 405 I Day-of-the-Week Matches: pp. 410 I “Day-of-the-Week Matches” Continued: pp. 411 I Monthly Matches: pp. 412 I The Real Birthday Problem: pp. 413 I Six for the Defense: pp. 414 I And If you Don‟t Win „em All?: pp. 416 I But Don‟t Lose „em All, Either: pp. 417 I The Good and the Bad: pp. 418 I Five for Seven: pp. 433 I More Five for Sevens: pp. 434 I The Perfect Group: pp. 439 I About Bias: pp. 444 I Stop! Don‟t Walk!: pp. 448 I “Race for the Pennant!” Revisited: pp. 459 I 28 STRAND: Data Analysis and Probability ______ STANDARD: The student uses statistical methods to make inferences and valid arguments about real-world situations. BENCHMARK GRADE LEVEL PAGES(S) OR LOCATIONS(S) I/M EXPECTATIONS WHERE TAUGHT 1. designs and performs YEAR 2 real-world statistical Is There Really A Difference experiments that involve POW 6: Is There Really A Difference: pp. 154-156 I more than one variable, then analyze results and YEAR 4 report findings.1, 2 The Pollster’s Dilemma Let‟s Vote on It!: pp. 425-426 I 2. explains the limitations YEAR 1 of using statistical The Pit and the Pendulum techniques and data in Close to the Law: pp. 316 I making inferences and A Picture is Worth a Thousand Words: pp. 35-359 I valid arguments.1, 2, 3 YEAR 2 Is There Really A Difference? Quality of Investigation: pp. 115 I POW 6: Is There Really A Difference?: pp. 154- I 156 29

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correlation coefficient, positive correlation, X and Y, negative correlation, linear relationship, random variables, data points, regression line, standard deviation, Pearson correlation coefficient

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views: | 101 |

posted: | 2/17/2010 |

language: | English |

pages: | 29 |

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