648 Index. Axis, 256 horizontal, 256 of symmetry, 340, 343 vertical, 256

Size: px
Start display at page:

Download "648 Index. Axis, 256 horizontal, 256 of symmetry, 340, 343 vertical, 256"

Transcription

1 Index A Absolute value, 3 in adding integers, of zero, 3 Addition in algebraic expressions, 49 of areas, 467 of fractions, of integers, of polynomials, 377 of rational numbers, in scientific notation, 86 solving one-step equations by, 99 solving one-step inequalities by, subtraction as inverse operation with, 12 Addition property of equality, 99 Addition property of inequality, 110 Additive identity, 70 Additive inverse, 71 Additive magic square, 83 Adjacent angles, 429 Algebraic expressions, 49 evaluating, 50 simplifying, 72 translating, 50 writing, 50 Algebra tiles, 134, 370, 383 Alternate exterior angles, 431 Alternate interior angles, 431 Angle bisector, 459 constructing, 459 Angle pairs, Angle(s) adjacent, 429 alternate exterior, 431 alternate interior, 431 complementary, 429 corresponding, 200, 431 of depression, 216 of elevation, 216 exterior, 436 interior, 431 remote interior, 436 supplementary, 103, 429 vertical, 430 Angle-side-angle in proving congruent triangles (ASA), 437 Arbelos, 470 Archimedes, 470 Arcs, 455 Area addition of, 467 of a circle, 465 lateral, 481, 482 measurement and, of a parallelogram, 465 of a rectangle, 465 of a square, 465 subtraction of, 467 surface, 480, 481 of a trapezoid, 465, 466 of a triangle, 465 Area models, 396, 405 Arithmetic factoring, Arithmetic sequence, 236 algebraic expression for the nth term of, 237 finding term of an, 237 identifying, Association, 594 linear, 595 nonlinear, 595 Associative property, 69 Average mean, median, mode, finding, from frequency table,

2 Axis, 256 horizontal, 256 of symmetry, 340, 343 vertical, 256 B Back-to-back stem-and-leaf plot, 584 Base of a power, 6 Bell-shaped distributions, 593 Bias, 562 Binomials, 371 multiplying two, Boundary line, 330 Box-and-whisker plots, Braces in relations, 263 Brackets as grouping symbols, 6 Brahmagupta, 473 C Calculators. See Graphing calculators Cantor s Comb, 48 Capacity in customary system, 164 in metric system, 164 Cause-and-effect, 599 Center of a dilation, 448 of a rotation, 446 Certificate of deposit, 218 Checkpoint, 110 Chunking, 393 Circle, area of, 465 Circle graphs, 183, 578 Closed hole, 112 Closure property, 70 Cluster sample, 560 Coefficient, 72 Combination, 545 notation, Commissions, 191 Common ratio, 242 Commutative property, 69 Compass, 455 Compatible numbers, 33 Complementary angles, 429 Complement of an event, 525 finding probability of, 525 Composite numbers, 24 Compound inequality, 120 Compound interest, 217 formula for, 217 Conditional equations, 102 Cone right circular, 477 surface area of a, 483 volume of a, 486 Congruence, 430 statement, writing, 438 Congruent angles, constructing, 456 figures, 200 triangles, Conjecture, 234 Consecutive integers, 125 Constant of variation, Constants, 49 Constructions, angle bisector, 459 congruent angles, 456 congruent segments, 455 line parallel to a line through a given point, 462 line perpendicular to a line through a given point, 461 perpendicular bisector, 458 triangle, given the sides, 457 Convenience sample, 560 Conversion factor, 165 Coordinate plane, distance on the, 258 structure of, 256 Coordinates, 256 finding slope from, 282 Coplanar lines, 433 Correlation, 594, 604 negative, 595 positive, 596 Correlation coefficient, 605 Corresponding angles, 200, Index

3 Corresponding sides, 200 Cosine, Counterexample, 234 Counting numbers, 2 Counting principle, 525 Cross products, 169 Cross section, 489 viewing, 489 Cube root, 65 Cumulative frequency histogram, 582 Cumulative frequency table, Customary system capacity in, 164 length in, 164 time in, 164 weight in, 164 Cylinder right circular, 476 surface area of a, 482 volume of a, 485 D Data analysis of, collecting and organizing, displaying, fitting line of best fit to, 598 organizing, in a table, 606 with two values in, Decimals division of, 43 multiplication of, 42 rewriting, 3 rounding, 32 writing probabilities as, 513 Degree of a polynomial, 372, 373 of a term, 373 Density, 89 Dependent events, finding probability of, 535 Dependent variables, 594 Depression, angle of, 216 Derived units, 168 Descending order, 372 Diagrams as problem-solving strategy, mapping, 264, 270 tree, 24, Venn, 21 22, 537, 540 Die, 513 in simulating problems, Digits, significant, 464 Dilations, 443, 448 center of a, 448 Dimensional analysis, 165 Direct variation, 304 applying equation of, Discounts, 192 Distance on the coordinate plane, 258 formula for, 259 using the Pythagorean Theorem to find, 259 Distribution, 593 skewed-left, 593 skewed-right, 593 symmetrical, 593 uniform, 593 Distributive property, 69, 401 of polynomials, 383 Divide-and-average method, Division algebraic expressions in, 49 of decimals, 43 of fractions, 44 of integers, 17 by a negative number, 118 of polynomials by monomials, 384 by a positive number, 117 properties of exponents for, 80 of rational numbers, in scientific notation, 87 solving one-step equations by, 105 Division property of equality, 104 of inequality, Dodecahedron, 479 Domain, 263 Dot plot, 588 Index 649

4 Double-bar graphs, 589 Double-line graphs, 589 Drawing isometric, 488 orthagonal, 488 scale, 171 Dyne (dyn), 168 E Edges of solid figures, 477 Elevation, angle of, 216 Elimination, solving systems of linear equations by, Ellipsis (...), 2 Equality addition property of, 99 division property of, 104 multiplication property of, 104 subtraction property of, 99 Equation(s), 98 conditional, 102 equivalent, 99 identical, 102 linear, ordered pairs in, 264 percent, 183 solution of, 98 involving ratio, 158 multi-step, one-step by adding, 99 by division, 105 by multiplication, by subtracting, 100 with two operations, writing, as problem-solving strategy, Error, 463 percent of, 463 relative, 463 Estimating, 32 modifying and, with rational numbers, square roots, 63 Euclid s algorithm, finding greatest common factor of two numbers, 31 Events, 513 complementary, 525 dependent, independent, mutually exclusive, 537, 540 mutually inclusive, 537, 540 Experiments, and data collection, 561 predicting outcomes in, 512 Exponential form, 24 Exponents, 6 negative, 77 operating with, 7 properties of for division, 80 for multiplication, 79 zero, 77 Expressions algebraic, 49, 50, 72, 237, 238 numerical, 6, 8 Exterior angles formed by a transversal, 431 of a triangle, 436 Extrapolation, 604 Extremes, 175 F Faces lateral, 477 of solid figures, 477 Factor, 6 conversion, 165 greatest common, 25 ratio, 158 Factorial, 542 Factoring, 391 arithmetic, trinomials, using greatest common factor, Factor tree, 26 Fair games, 532 Family of functions, Index

5 Fibonacci, 241 Fibonacci sequence, 241 Figurative numbers hexagonal, 235 pentagonal, 235 rectangular, 234 square, 234 triangular, 233, 237, 252 Figures congruent, 200 self-similar, 203 similar, 200 Five-number summary, 574 FOIL, 401, 405 Formula(s), 65 area, 465 compound interest, 217 distance, 259 nth triangular number, 233 simple interest, 194 substituting into a, 65 surface area, 481 volume, Fraction bar as grouping symbol, 6 Fractions, 2 addition of, division of, 44 multiplication of, 43 rewriting, 3 rounding, 32 subtraction of, writing as a percent, 176 writing probabilities as, 512 Frequencies, 10, 247 Frequency table, 512 constructing, 562 cumulative, finding averages from a, 569 Front-end estimation with adjustments, 34 Frustum, 490 Function, 265 nonlinear, 305 notation, 266 one-to-one, 270 horizontal line test, 270 quadratic, recognizing, 265 vertical line test, 266 writing a rule, G Gauss, 239 General points, 259 Genes, 531 Geometric probability, 518 Geometric sequences, algebraic expression for the nth term of, 243 applying, 244 identifying, Geometry, angle pairs in, congruent triangles in, constructions in, measurement and area in, solid figures in, transformations in, Goldbach, Christian, 31 Goldbach s conjecture, 31 Golden Ratio, 163 Graphing linear equations, linear inequalities, parabolas, 338 solving systems of linear equations by, Graphing calculators conversion, decimal to a fraction, 3 fraction to a decimal, 3 mixed number to an improper fraction, 4 exponents, 78 evaluating expressions, 8 polynomial, factors of a quadratic equation, checking, 410 graphing, bar graph, box-and-whisker plot, 585 family of functions, Index 651

6 Graphing calculators (continued) histogram, 580 cumulative frequency, 582 linear function, 303 residual plot, scatter plot, 597 systems of linear equations, 313 systems of linear inequalities, 337 inequalities, 111 probability combinations, 546 factorials, 542 permutations, 543 random numbers, generating, 521 simulations, 532 scientific notation, 86 statistics, correlation coefficient, 605 cumulative frequency, five number summary, 574 mean, median, and mode, 571 regression line, 600 table of values, 303, 313, 410 trigonometrie ratios, 209 window feature, 345 Graphs bar graph, box-and-whisker plot, 585 circle, 183, 578 dot plot, 588 double-bar, 589 double-line, 589 histogram, 580 cumulative frequency, 582 ordered pairs in, 264 pictogram, 590 residual plot, 601 scatter plot, 597 stem-and-leaf plot, Gratuities, 190 Greatest common factor (GCF), 25 Euclid s algorithm in finding, 31 factoring using, in problem situations, 26 Grouping symbols, 6 H Half-life, 245 Half-plane, 330 Heads, 516 Hectares, 51 Height, slant, 482 Hero (also called Heron), 473 Heron s Formula, 473 Hertz (Hz), 247 Hexagonal numbers, 235 Hexagonal prism, 477 Hexahedron, 479 Hidden variables, 599 Histograms, , 593 cumulative frequency, 582 Horizontal axis, 256 Horizontal line test, 270 Hypotenuse of right triangle, 248 finding length of, 249 I Icosahedron, 479 Identical equations, 102 Identity additive, 70 multiplicative, 70 property, 70 Image, 443 Improper fractions, rewriting mixed numbers as, 4 Independent events, finding probability of, Independent variables, 594 Indirect measurement, 201 Inequalities, 112 addition property of, 110 compound, 120 division property of, 116, 117 multiplication property of, 116, 117 solution of, 112 solution set of, Index

7 solving multi-step, solving one-step by addition, by subtraction, 112 solving two-step, subtraction property of, 110 Integers, 2, 64 addition of, consecutive, 125 division of, 17 multiplication of, subtraction of, 12 Integral exponents, 77 Intercepts, 289 x-, 289 y-, 289 Interest, 194 compound, 217 simple, 194 Interior angles, 431 Interpolation, 598 Interquartile range, 573 finding and interpreting, 573 Inverse additive, 71 multiplicative, 71 property, 71 Inverse operations, 12, 99 Inverse variation, Irrational numbers, 64 Isometric drawing, 488 J Joule (J), 168 L Lateral area, 481, 482 Lateral faces, 477 Leaf, of a stem-and-leaf plot 583 Least common denominator (LCD), 27 Least common multiple (LCM), 27 Legs of right triangle, 248 finding length of, 249 Length in customary system, 164 in metric system, 164 Light year, 85 Like terms, 72 aligning, 377 combining, 125 Linear association, 595 Linear equations, See also Systems of linear equations in two variables, Linear functions graphing, graphing with graphing calculator, 303 Linear inequalities, graphing, Linear pair, 429 Line of best fit, fitting to data set, 598 using, to interpolate values, 598 Line(s) boundary, 330 coplanar, 433 graphing using slope and y-intercept, 299 parallel, 431, 432, 433, 436 perpendicular, 288 skew, 433 slope of a, 281 using table of values in graphing, 298 Line symmetry, 443 Logical reasoning, 606 Lower quartile, 572 Lucas sequence, 241 M Magic square, 15, 18 additive, 83 multiplicative, 83 Magic triangle, 13 Mapping diagram, 270 ordered pairs in, 264 test, 265 Map, scale of a, 171 Markup, 193 Mass, in metric system, 164 Index 653

8 Mean, 568, 569 finding, with graphing calculator, 571 Means, 175 Measurement area and, calculating with, 464 customary system of, 164 indirect, 201 metric system of, 164 Measures of central tendency, 568, 569 Measures of variation, 573 Median, 568, 569 finding, with graphing calculator, 571 of a trapezoid, 263 of a triangle, 262 Metric system capacity in, 164 length in, 164 mass in, 164 time in, 164 Microseconds, 89 Middle quartile, 572 Midpoint, 261, 458 Mixed numbers, 2 multiplication of, 44 rewriting as improper fractions, 4 rounding, 33 Mixture problems, using two variables to solve, Modeling in problem-solving, Models area, 396, 405 scale, 174 using, to simplify polynomials, 371 Monomials, 370, 371 division of polynomial by, 384 finding the GCF of two, 391 multiplication of polynomials by, recognizing, 370 Motion problems, using two variables to solve, Multiple, 24 Multiplication in algebraic expressions, 49 of fractions, 43 of integers, of mixed numbers, 44 by a negative number, 118 of polynomials by a monomial, by a positive number, 116 properties of exponents for, 79 of rational numbers, in scientific notation, 87 solving one-step equations by, of two binomials, Multiplication property of equality, 104 of inequality, 116, 117 Multiplication table, using, Multiplicative identity, 70 inverse, 71 Multiplicative magic square, 83 Multi-step equations and inequalities, solving, Mutually exclusive events, 537, 540 Mutually inclusive events, 537, 540 Myriad, 86 N Nanoseconds, 86 Natural numbers, 2, 64 Negative correlation, 595 Negative exponents, 77 Negative integers, 11 Negative number division by a, 118 multiplication by a, 118 Nets, 478 in finding surface area, 480 Newton (N), 168 Newton s Method, 68 Nonlinear association, 595 Nonlinear functions, 305 Notation combination, 545 function, 266 permutation, 543 scientific, Index

9 nth term of an arithmetic sequence, 237 of a geometric sequence, 243 Number line, 3 using, to add integers, 11 Numbers absolute value of, 3 compatible, 33 composite, 24 figurative, 233 hexagonal, 235 pentagonal, 235 rectangular, 234 square, 234 triangular, 233, 237, 252 negative, 118 opposite, 3 positive, 117 prime, 24 random, 521 Numerical expressions, 6 using a calculator to evaluate, 8 O Octahedron, 479 Odds, 527 One-step equations, solving by adding, 99 by dividing, 105 by multiplying, by subtracting, 100 One-step inequalities, solving by adding, by dividing, 117, 118 by multiplying, 117, 118 by subtracting, 112 One-to-one functions, 270 Open hole, 112 Open sentence, 98 Operations order of, 6 properties of, 69 Ordered pairs, 256, 263 in equation, 264 in graph, 264 in mapping diagram, 264 in table, 264 Order of operations, 6 8 using, 7 Orientation, 443 Origin, 256 Orthogonal drawing, 488 Outcomes, predicting, in experiments, 512 Outliers, 577, 601 P Parabola, 338 graphing, 338 identifying direction of, 339 symmetry of, 339 turning point of, 338 vertex of, 338, 340 Parallel lines, 431, 432, 433, 436 Parallelogram, 108 area of, 465 Parentheses ( ) as grouping symbols, 6 Parsec, 89 Pascal s Triangle, 232, 541, 550 Patterns, Pentagonal numbers, 235 pyramids, 477 Pentomino, 495 Percentiles, 189 Percent(s), 176 applications of, of change, 193 of decrease, 193 equation, 183 of error, 463 finding, 463 of increase, 193 of markup, 193 writing a fraction as a, 176 writing probabilities as, 513 Perfect squares, 63 estimating, 63 finding square roots of, 63 Index 655

10 Perimeter, 76 Permutation, 542 notation, 543 Perpendicular bisector, 458 constructing, 458 Perpendicular lines, 288 Pictograms, 590 Place number, identifying, of a term, 238 Platonic solids, 479 Plots box-and-whisker, dot, 588 residual, 601 scatter, stem-and-leaf, , 593 back-to-back, 584 Polyhedrons, 477 Polynomials, 371 addition of, 377 degree of a, 372, 373 division of, by a monomial, 384 multiplication of, by monomials, naming, 371 in standard form, 372 subtraction of, 378 using models to simplify, 371 using properties to simplify, Polyomino, 495 Population, 560 Positive correlation, 595 Positive integers, 11 Positive number division by a, 117 multiplication by a, 116 Power, 6 of a product rule, 79 of a quotient rule, 80 Power rule, 79 Powers of 10, 84 evaluating, 84 writing, 84 Precision, 463 Price regular, 192 sale, 192 Prime factorization, 24, 391 of a composite number, 24 Prime numbers, 24 Principal, 194 Prisms, 477 hexagonal, 477 rectangular, 478 surface area of, 480 triangular, 477 Probability, combinations, compound events, 537 complementary events, 525 counting principle, 525 dependent events, 533 factorials, 542 geometric, 519 independent events, 533 mutually exclusive events, 537, 540 mutually inclusive events, 537, 540 odds in, 527 permutations, predicting outcomes in experiments, 512 Punnett square in, 531 sample space in, 524 tree diagrams in, using die to simulate a problem, using random numbers to simulate a problem, 521 Venn diagrams in, 537, 540 writing, 513 writing ratios in, 513 writing theoretical, 514 Problem-solving strategies drawing a diagram, estimating and modifying, look for a pattern, modeling the problem, organizing data in a table, 606 simplifying the problem, simulating the problem, working backward, 121 writing an equation, Index

11 Product rule, 79 Product, simplifying, 384 Proportion, 169 extremes, 175 means, 175 solving, 170 writing a, 170 Punnett square, 531 Pyramids, 477 pentagonal, 477 rectangular, 477 surface area of a, 482 volume of a, 486 Pythagorean Theorem, 207, converse of, 251 in finding distance, 259 Pythagorean triple, 255 Q Quadrants, 256 Quadratic functions, Quartiles, 572 finding, of a data set, 572 lower, 572 middle, 572 upper, 572 Quotient, simplifying, 384 Quotient rule, 80 R Random, 517 Random numbers, 521 in simulating a problem, 521 Random sample, 560 Range, 263 Rate, 159 of change, 281 finding, from a table, 283 unit, 159 Ratio factor, 158 Rational numbers, 2, 64 addition of, division of, equivalent forms, 3 estimating with, multiplication of, order of operations in, 6 8 set of, 2 subtraction of, Ratio(s), 157 common, 242 equivalent, 157 finding, 157 forms of, 157 Golden, 163 probability, 513 trigonometric, using an equation involving, 158 Real numbers, 64 classifying, 64 ordering, 64 properties of, 69 subsets of, 64 Reciprocals, 44 Rectangle, area of, 465 Rectangular numbers, 234 Rectangular pyramids, 477 Reflections, 443, 445 Regression line, 600 Regular price, 192 Relations, Relative error, 463 Relatively prime numbers, 27 Remote interior angles, 435 Repeating decimals, 2 Residual, 601 plot, 601 Right circular cone, 477 Right circular cylinder, 477 Right triangle, , , 212 hypotenuse of, 248 legs of, 248 Rise, 281 Roots cube, 65 square, 63, 64 Index 657

12 Rotational symmetry, 447 Rotations, 443, 446 center of the, 446 Rounding, 32 of decimals, 32 of fractions, 32 mixed numbers, 33 Rubik s cube, 82 Run, 281 S Sale price, 192 Sales taxes, 190 Sample, 560 cluster, 560 convenience, 560 random, 560 systematic, 560 Sample space, 524 Sampling, 560 Scale, 171 drawing, 171 model, 174 Scatter plots, Scientific notation, addition in, 86 applying, 85 calculating in, 86 converting from standard form to, 85 converting to standard form from, 84 division in, 87 multiplication in, 87 subtraction in, 86 Score, 52 Self-similar figures, 203 Sentence, open, 98 Sequences, 236 arithmetic, 236 Fibonacci, 241 geometric, Lucas, 241 term of the, 236 tetranacci, 241 tribonacci, 241 Side-angle-angle, in proving congruent triangles (SAA), 437 Side-angle-side, in proving congruent triangles (SAS), 437 Side-side-side, in proving congruent triangles (SSS), 437 Sierpinski s Triangle, 245 Sign adding numbers with different, 11 adding numbers with the same, 11 Significant digits, 464 Similar figures, 200 Similar triangles, 281 Simple interest, 194 formula for, 194 Sine, 207, 208 Skewed-left distribution, 593 Skewed-right distribution, 593 Skew lines, 433 Slant height, 482 Slope finding, from coordinates, 282 finding from a table, 282 graphing line using y-intercept, 299 of a line, 281 Slope-intercept form, Solid figures, dimensions of, 477 edges of, 477 faces of, 477 identifying, nets in, 478 Platonic, 479 vertexes of, 477 Solid geometry, 433 Solution of an equation, 98 of an inequality, 112 Solution set of an inequality, 112 Square, area of, 465 Square numbers, 234 Square of a triangular number, Index

13 Square roots, 63 finding, on a graphing calculator, 64 Standard form, 83, 298, 372 converting from, to scientific notation, 85 Standard viewing window, 303 Statistics, association in, 594 bias in, 562 box-and-whisker plots in, cause-and-effect in, 599 collecting and organizing data in, constructing circle graph in, 578 constructing frequency table in, 562 correlation coefficient in, 605 correlation in, 594, 605 data analysis in, data with two values in, displaying data in, distributions in, 593 dot plots in, 588 double-bar graphs in, 589 double-line graphs in, 589 extrapolation in, 604 finding and interpreting the interquartile range, 573 finding averages from a frequency table, 569 finding population in, 561 finding quartiles of a data set, 572 finding sample in, 561 five-number summary in, 574 histograms in, identifying sampling method in, 561 line of best fit in, mean in, 568, 569 median in, 568, 569 mode in, 568, 569 outliers in, 577, 601 pictograms in, 590 regression line in, 600 residuals in, 601 sampling in, 560 scatter plots in, stem-and-leaf plots in, Stem-and-leaf plots, , 593 comparing data sets with, 584 Straightedge, 455 Substitution into a formula, 65 solving systems of linear equations by, Subtraction addition as inverse operation with, 12 in algebraic expressions, 49 of areas, 467 eliminating a variable by, 322 of fractions, of integers, 12 of polynomials, 378 of rational numbers, in scientific notation, 86 solving one-step equations by, 100 solving one-step inequalities by, 112 Subtraction property of equality, 99 Subtraction property of inequality, 110 Supplementary angles, 103, 429 Surface area of a cone, 483 of a cylinder, 482 of a prism, 480 of a pyramid, 482 using a net, 480 Symbols ellipsis, 2 grouping, 6 use of, versus words, 1 Symmetrical distribution, 593 Symmetry axis of, 340, 343 line, 443 of the parabola, 339 rotational, 447 Systematic sample, 560 Index 659

14 Systems of linear equations applying, solving by elimination, by graphing, by substitution, using graphing calculator to graph, 313 Systems of linear inequalities applying, 333 graphing, 332 solving, 332 T Table of values creating, 298 using, in graphing a line, 298 Tables cumulative frequency, finding rate of change from a, 283 finding slope from a, 282 frequency, 562, , 569 ordered pairs in, 264 organizing data in a, 606 Tails, 516 Tally marks, 512 Tangent, 207, 208 Taxes, 190 sales, 190 Terminating decimals, 2 Terms of an algebraic expression, 72 combining like, 125 of a sequence, 236 Tetrahedron, 479 Tetranacci sequence, 241 Tetromino, 495 Theoretical probabiliy, 514 Theoretical result, space geometry, 433 Time in customary system, 164 in metric system, 164 Transformations, types of, 443 Transit, 216 Translations, 443, 445 Transversal, 431 Trapezoid area of, 465, 466 median of a, 263 Tree diagrams, 24, Triangle Inequality Theorem, 115 Triangle(s) area of, 465 congruent, constructing, 457 magic, 13 median of, 262 Pascal s, 232, 541, 550 right, 248 Sierpinski s, 245 similar, 281 Triangular numbers, 237, 252 square of, 235 writing formula for the nth, 233 Tribonacci sequence, 241 Trigonometric ratios, finding, on a calculator, 209 Trinomials, 371 factoring, Triomino, 495 Turning point, 338 Two-step inequalities, solving, U Uniform distribution, 593 Unit rate, 159 Units converting, derived, 168 in customary system of capacity, 164 of length, 164 of time, 164 of weight, 164 in metric system of capacity, 164 of length, Index

15 of mass, 164 of time, 164 Unlike terms, 72 Upper quartiles, 572 V Variables, 49 dependent, 594 hidden, 599 independent, 594 Variation constant of, direct, 304 inverse, 305 Venn diagram, 21 22, 537, 540 Vertex of a parabola, 338, 340 of solid figures, 477 Vertical angles, 430 Vertical axis, 256 Vertical line test, 266, 270 Volume, 485 of a cone, 486 of a cylinder, 485 of a prism, 485 of a pyramid, 486 W Weight, 164 Whole numbers, 2, 64 Work, 168 Working backward as problem-solving strategy, 121 X x-axis, 256, 289 x-coordinate, 256, 289 x-intercept, 289 Y y-axis, 256, 289 y-coordinate, 256, 289 y-intercept, 289 graphing line using slope and, 299 Z Zero, absolute value of, 3 Zero exponent, 77 Zero pair, 371 Z-scale, 175 Index 661

Histogram, cumulative frequency, frequency, 676 Horizontal number line, 6 Hypotenuse, 263, 301, 307

Histogram, cumulative frequency, frequency, 676 Horizontal number line, 6 Hypotenuse, 263, 301, 307 INDEX A Abscissa, 76 Absolute value, 6 7, 55 Absolute value function, 382 386 transformations of, reflection, 386 scaling, 386 translation, 385 386 Accuracy, 31 Acute angle, 249 Acute triangle, 263 Addition,

More information

Purposeful Design Publications. Intermediate Mathematics Series Scope and Sequence

Purposeful Design Publications. Intermediate Mathematics Series Scope and Sequence Purposeful Design Publications Intermediate Mathematics Series Scope and Sequence All rights reserved, 2004 PO Box 35097 Colorado Springs, CO 80935-3509 800.367.0798 www.purposefuldesign.com I. NUMBER

More information

Pre Algebra. Curriculum (634 topics)

Pre Algebra. Curriculum (634 topics) Pre Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

Pre Algebra and Introductory Algebra

Pre Algebra and Introductory Algebra Pre Algebra and Introductory Algebra This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to

More information

A Correlation of. Pearson. Mathematical Ideas. to the. TSI Topics

A Correlation of. Pearson. Mathematical Ideas. to the. TSI Topics A Correlation of Pearson 2016 to the A Correlation of 2016 Table of Contents Module M1. Linear Equations, Inequalities, and Systems... 1 Module M2. Algebraic Expressions and Equations (Other Than Linear)...

More information

Basic Math. Curriculum (358 topics additional topics)

Basic Math. Curriculum (358 topics additional topics) Basic Math This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to meet your curricular needs.

More information

Subtraction Property of Equality terms. x-axis x-coordinate x-intercept y-axis y-coordinate y-intercept

Subtraction Property of Equality terms. x-axis x-coordinate x-intercept y-axis y-coordinate y-intercept Algebra I Chapter 1 Chapter 2 additive identity range absolute value algebraic expression reciprocal additive inverses Associative Property Reflexive Property of Equality back-to-back stem and leaf bar

More information

Algebra 2. Curriculum (524 topics additional topics)

Algebra 2. Curriculum (524 topics additional topics) Algebra 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

Evaluate algebraic expressions for given values of the variables.

Evaluate algebraic expressions for given values of the variables. Algebra I Unit Lesson Title Lesson Objectives 1 FOUNDATIONS OF ALGEBRA Variables and Expressions Exponents and Order of Operations Identify a variable expression and its components: variable, coefficient,

More information

Integrated Mathematics II

Integrated Mathematics II Integrated Mathematics II This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information

9-12 Mathematics Vertical Alignment ( )

9-12 Mathematics Vertical Alignment ( ) Algebra I Algebra II Geometry Pre- Calculus U1: translate between words and algebra -add and subtract real numbers -multiply and divide real numbers -evaluate containing exponents -evaluate containing

More information

California Algebra 1

California Algebra 1 California Algebra 1 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

More information

Pre-Algebra (7) B Mathematics

Pre-Algebra (7) B Mathematics Course Overview Students will develop skills in using variables, evaluating algebraic expressions by the use of the order of operations, solving equations and inequalities, graphing linear equations, functions

More information

Common Core Edition Table of Contents

Common Core Edition Table of Contents Common Core Edition Table of Contents ALGEBRA 1 Chapter 1 Foundations for Algebra 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4

More information

Algebra 2 with Trigonometry

Algebra 2 with Trigonometry Algebra 2 with Trigonometry This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize

More information

Mathematics. Pre Algebra

Mathematics. Pre Algebra Mathematics Pre Algebra Tools for Algebra & Geometry Use Problem Solving Strategies Use the Order of Operation to compute real numbers Evaluate expressions containing variables Write algebraic expression

More information

Foundations of High School Math

Foundations of High School Math Foundations of High School Math This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to

More information

nonadjacent angles that lie on opposite sides of the transversal and between the other two lines.

nonadjacent angles that lie on opposite sides of the transversal and between the other two lines. WORD: Absolute Value DEFINITION: The distance from zero, distance is always positive. WORD: Absolute Value Function DEFINITION: A function whose rule contains an absolute value expression. EXAMPLE(S) COUNTEREXAMPLE(S):

More information

Pre Algebra. Curriculum (634 topics additional topics)

Pre Algebra. Curriculum (634 topics additional topics) Pre Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

NEW YORK ALGEBRA TABLE OF CONTENTS

NEW YORK ALGEBRA TABLE OF CONTENTS NEW YORK ALGEBRA TABLE OF CONTENTS CHAPTER 1 NUMBER SENSE & OPERATIONS TOPIC A: Number Theory: Properties of Real Numbers {A.N.1} PART 1: Closure...1 PART 2: Commutative Property...2 PART 3: Associative

More information

Teacher: CORE Algebra Year: Essential Questions Content Skills Vocabulary Assessments

Teacher: CORE Algebra Year: Essential Questions Content Skills Vocabulary Assessments Teacher: CORE Algebra Year: 2010-11 Course: Algebra Month: All Months S e p t e m b e r THE LANGUAGE OF ALGEBRA AND REAL NUMBERS Essential Questions Content Skills Vocabulary Assessments Algebraic Properties

More information

Course Readiness and Skills Review Handbook (Topics 1-10, 17) (240 topics, due. on 09/11/2015) Course Readiness (55 topics)

Course Readiness and Skills Review Handbook (Topics 1-10, 17) (240 topics, due. on 09/11/2015) Course Readiness (55 topics) Course Name: Gr. 8 Fall 2015 Course Code: C6HNH-TEK9E ALEKS Course: Middle School Math Course 3 Instructor: Mr. Fernando Course Dates: Begin: 08/31/2015 End: 06/17/2016 Course Content: 642 Topics (637

More information

Math Literacy. Curriculum (457 topics)

Math Literacy. Curriculum (457 topics) Math Literacy This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

More information

Introductory Chapter(s)

Introductory Chapter(s) Course 1 6 11-12 years 1 Exponents 2 Sequences Number Theory 3 Divisibility 4 Prime Factorization 5 Greatest Common Factor Fractions and Decimals 6 Comparing and Ordering Fractions 7 Comparing and Ordering

More information

Glossary. Glossary 981. Hawkes Learning Systems. All rights reserved.

Glossary. Glossary 981. Hawkes Learning Systems. All rights reserved. A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Addends The numbers being added in an addition problem Addition principle

More information

Math Lesson Plan 8th Grade Curriculum Total Activities: 345

Math Lesson Plan 8th Grade Curriculum Total Activities: 345 Time4Learning Online Learning for Homeschool and Enrichment www.time4learning.com Languages Arts, Math and more Multimedia s, Interactive Exercises, Printable Worksheets and Assessments Student Paced Learning

More information

Math 75 Mini-Mod Due Dates Spring 2016

Math 75 Mini-Mod Due Dates Spring 2016 Mini-Mod 1 Whole Numbers Due: 4/3 1.1 Whole Numbers 1.2 Rounding 1.3 Adding Whole Numbers; Estimation 1.4 Subtracting Whole Numbers 1.5 Basic Problem Solving 1.6 Multiplying Whole Numbers 1.7 Dividing

More information

College Algebra with Trigonometry

College Algebra with Trigonometry College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional

More information

1 of 7 8/11/2014 10:27 AM Units: Teacher: PacedAlgebraPartA, CORE Course: PacedAlgebraPartA Year: 2012-13 The Language of Algebra What is the difference between an algebraic expression and an algebraic

More information

8 th Grade Math Connects

8 th Grade Math Connects 8 th Grade Math Connects Chapter 1: Rational Numbers and Percent Multi-Part Lesson 1: Rational Numbers A: Rational Numbers B: Add and Subtract Rational Numbers C: Multiply Rational Numbers D: Divide Rational

More information

7th Grade Curriculum

7th Grade Curriculum Unit #1 Number Systems 1.1 Number Systems 7th Grade Curriculum Distinguish between the various subsets of real numbers (Counting/natural numbers, whole numbers, integers, rational numbers, and irrational

More information

CURRICULUM UNIT MAP 1 ST QUARTER. COURSE TITLE: Applied Algebra 1 GRADE: 9

CURRICULUM UNIT MAP 1 ST QUARTER. COURSE TITLE: Applied Algebra 1 GRADE: 9 1 ST QUARTER Unit 1: Exploring Rational Numbers WEEK 1-3 Objectives: Write equations and formulas to solve application problems Compare order and plot rational and irrational numbers, including square

More information

ROSLYN PUBLIC SCHOOLS INTEGRATED ALGEBRA CURRICULUM. Day(s) Topic Textbook Workbook Additional Worksheets

ROSLYN PUBLIC SCHOOLS INTEGRATED ALGEBRA CURRICULUM. Day(s) Topic Textbook Workbook Additional Worksheets I. Review 1 and 2 Review p3-19 1. Screening Test 2. Review sheet II. Real Numbers A.N.1 Identify and apply the properties of real numbers (closure, commutative, associative, distributive, identity, inverse)

More information

Learning Outcomes Framework

Learning Outcomes Framework Learning Outcomes Framework May 2004 Mathematics Grades 7 9 Learning Outcomes Framework Mathematics Grades 7 9 GRADE 7 Grade 7 GCO A: Students will demonstrate number sense and apply number-theory concepts.

More information

6 th grade 7 th grade Course 2 7 th grade - Accelerated 8 th grade Pre-Algebra 8 th grade Algebra

6 th grade 7 th grade Course 2 7 th grade - Accelerated 8 th grade Pre-Algebra 8 th grade Algebra 0 September Factors and Multiples Ratios Rates Ratio Tables Graphing Ratio Tables Problem Solving: The Four- Step Plan Equivalent Ratios Ratio/Rate Problems Decimals and Fractions Rates Complex Fractions

More information

Math Literacy. Curriculum (457 topics additional topics)

Math Literacy. Curriculum (457 topics additional topics) Math Literacy This course covers the topics outlined below, and can be used to support a non STEM pathways course. You can customize the scope and sequence of this course to meet your curricular needs.

More information

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning BUI L T F O VIR R G INIA 2014 2015 Virginia -Specific Learning Pathways Grades 6-Algebra I: Standards of Learning Table of Contents Grade 6...3 Grade 7...6 Grade 8...9 Algebra I... 11 Grade 6 Virginia

More information

NFC ACADEMY COURSE OVERVIEW

NFC ACADEMY COURSE OVERVIEW NFC ACADEMY COURSE OVERVIEW Algebra I Fundamentals is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite

More information

Secondary 1 - Secondary 3 CCSS Vocabulary Word List Revised Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation

Secondary 1 - Secondary 3 CCSS Vocabulary Word List Revised Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation (optional) absolute value function absolute value inequality (optional) acute angle addition rule algebraic representation alternate exterior angles

More information

Algebra Readiness. Curriculum (445 topics additional topics)

Algebra Readiness. Curriculum (445 topics additional topics) Algebra Readiness This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize the

More information

Syllabus for Grade 7. More details on each of the topics is covered in the following pages.

Syllabus for Grade 7. More details on each of the topics is covered in the following pages. Syllabus for Grade 7 Chapter 1 Algebraic Reasoning Chapter 2 Integers and rational numbers Chapter 3 Number Theory Chapter 4 Rational number Chapter 5 Patterns and functions Chapter 6 Proportional Relationships

More information

How do you write and evaluate algebraic expressions? How can algebraic expressions and equations represent actual situations?

How do you write and evaluate algebraic expressions? How can algebraic expressions and equations represent actual situations? Topic: Expressions, Equations and Functions Days: 13 Key Learning: Expressions, equations, tables and graphs are used to model realworld situations. Unit Essential Question(s): How do you write and evaluate

More information

Middle School Math Course 3

Middle School Math Course 3 Middle School Math Course 3 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information

Prealgebra and Elementary Algebra

Prealgebra and Elementary Algebra Prealgebra and Elementary Algebra 978-1-63545-089-7 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek, Santa

More information

Introduction to Algebra

Introduction to Algebra Translate verbal expressions into mathematics expressions. Write an expression containing identical factors as an expression using exponents. Understand and apply the rules for order of operations to evaluate

More information

Algebra 2. Curriculum (384 topics additional topics)

Algebra 2. Curriculum (384 topics additional topics) Algebra 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

Course Readiness and Skills Review Handbook (83 topics) Course Readiness (21 topics) Course Name: Algebra Course Code: UY6JA-RATXM

Course Readiness and Skills Review Handbook (83 topics) Course Readiness (21 topics) Course Name: Algebra Course Code: UY6JA-RATXM Course Name: Algebra 1 2014-15 Course Code: UY6JA-RATXM ALEKS Course: Algebra 1A Instructor: Ms. Dalton Course Dates: Begin: 11/18/2014 End: 06/18/2015 Course Content: 335 Topics (334 goal + 1 prerequisite)

More information

Prep for the CSU ELM

Prep for the CSU ELM Prep for the CSU ELM This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

More information

Check boxes of Edited Copy of Sp Topics (was 145 for pilot) Beginning Algebra, 3rd Ed. [open all close all] Course Readiness and

Check boxes of Edited Copy of Sp Topics (was 145 for pilot) Beginning Algebra, 3rd Ed. [open all close all] Course Readiness and Check boxes of Edited Copy of 10021 Sp 11 152 Topics (was 145 for pilot) Beginning Algebra, 3rd Ed. [open all close all] Course Readiness and Additional Topics Appendix Course Readiness Multiplication

More information

Middle School Math Course 2

Middle School Math Course 2 Middle School Math Course 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information

Scope and Sequence: National Curriculum Mathematics from Haese Mathematics (7 10A)

Scope and Sequence: National Curriculum Mathematics from Haese Mathematics (7 10A) Scope and Sequence: National Curriculum Mathematics from Haese Mathematics (7 10A) Updated 06/05/16 http://www.haesemathematics.com.au/ Note: Exercises in red text indicate material in the 10A textbook

More information

CME Project, Geometry 2009 Correlated to: Kentucky Core Content for Mathematics Assessment 4.1 (High School, Grade 11)

CME Project, Geometry 2009 Correlated to: Kentucky Core Content for Mathematics Assessment 4.1 (High School, Grade 11) Number Properties and Operations High school students should enter high school with a strong background in rational numbers and numerical operations and expand this to real numbers. This becomes the foundation

More information

Foundations of Mathematics

Foundations of Mathematics Foundations of Mathematics 978-1-63545-087-3 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek, Santa Ana College

More information

Corequisite Support for Liberal Arts Mathematics/Quantitative Reasoning

Corequisite Support for Liberal Arts Mathematics/Quantitative Reasoning Corequisite Support for Liberal Arts Mathematics/Quantitative Reasoning This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users

More information

BIG Ideas. Assessment Teacher Resources Standards

BIG Ideas. Assessment Teacher Resources Standards Course Name: Unit: Introductory Time Line: 2 weeks Students will be able to simplify expressions. 1. Real Life Problems Solve problems using the four-step plan. Identify and use problemsolving strategies.

More information

8.NS Number and Number Sense

8.NS Number and Number Sense Skills available for Virginia eighth-grade math standards Standards are in bold, followed by a list of the IXL math skills that are aligned to that standards. Students can practice these skills online

More information

Number Sense and Operations Strand

Number Sense and Operations Strand Number Sense and Operations Strand Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems. Number Theory NY A.N.1 Identify and apply the

More information

Revised: 2/19/09 Unit 1 Pre-Algebra Concepts and Operations Review

Revised: 2/19/09 Unit 1 Pre-Algebra Concepts and Operations Review 2/19/09 Unit 1 Pre-Algebra Concepts and Operations Review 1. How do algebraic concepts represent real-life situations? 2. Why are algebraic expressions and equations useful? 2. Operations on rational numbers

More information

Math Scope & Sequence Grades 3-8

Math Scope & Sequence Grades 3-8 Math Scope & Sequence Grades 3-8 Texas Essential Knowledge and Skills State Standards Concept/Skill Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Number and Operations in Base Ten Place Value Understand

More information

Prentice Hall PreCalculus, 3rd Edition 2007, (Blitzer)

Prentice Hall PreCalculus, 3rd Edition 2007, (Blitzer) Prentice Hall PreCalculus, 3rd Edition 2007, (Blitzer) C O R R E L A T E D T O Number Properties and Operations High school students should enter high school with a strong background in rational numbers

More information

I-2 Index. Coterminal Angles, 738 Counting numbers, 8 Cramer, Gabriel, 309 Cramer s rule, 306 Cube root, 427, 434 Cylinder, right circular, 117

I-2 Index. Coterminal Angles, 738 Counting numbers, 8 Cramer, Gabriel, 309 Cramer s rule, 306 Cube root, 427, 434 Cylinder, right circular, 117 Index Absolute value, 18 equations, 154, 162 inequalities, 159, 162 Absolute error, 158 Addition, 4 associative property, 19 commutative property, 18 of complex numbers, 481 of fractions, 21 of functions,

More information

Middle School Math for Digital White Boards. Common Core State Standards for Mathematics

Middle School Math for Digital White Boards. Common Core State Standards for Mathematics Middle School Math for Digital White Boards Correlations to Common Core State Standards for Mathematics OnBoard Academics, Inc. 44 Merrimac Street Newburyport MA 01950 Telephone: 1 800 596 3175 www.onboardacademics.com

More information

Prentice Hall Intermediate Algebra, 5th Edition 2009 (Martin-Gay)

Prentice Hall Intermediate Algebra, 5th Edition 2009 (Martin-Gay) Prentice Hall Intermediate Algebra, 5th Edition 2009 (Martin-Gay) C O R R E L A T E D T O Number Properties and Operations High school students should enter high school with a strong background in rational

More information

PreCalculus. Curriculum (447 topics additional topics)

PreCalculus. Curriculum (447 topics additional topics) PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

K-12 MATH HIGH ACHIEVEMENT OUTCOMES

K-12 MATH HIGH ACHIEVEMENT OUTCOMES K-12 MATH HIGH ACHIEVEMENT OUTCOMES Mission Statement: By working individually and cooperatively, students in math will apply mathematical concepts, demonstrate computational skills, and use technological

More information

Correlation of the ALEKS course Algebra 1 to the Common Core State Standards for High School Algebra 1

Correlation of the ALEKS course Algebra 1 to the Common Core State Standards for High School Algebra 1 Correlation of the ALEKS course Algebra 1 to the Common Core State Standards for High School Algebra 1 Number and Quantity N-RN.1: = ALEKS course topic that addresses the standard N-RN: The Real Number

More information

Sacred Heart School Course Syllabus

Sacred Heart School Course Syllabus Sacred Heart School Course Syllabus Class Subject: Grade 6 Mathematics (Advanced) Teacher Information: Barbara Hamanaka Sacred Heart School : 860-445-0611 hamanakab@sacredheartgroton.org Course Description:

More information

PA Core Standards For Mathematics 2.2 Algebraic Concepts PreK-12

PA Core Standards For Mathematics 2.2 Algebraic Concepts PreK-12 Addition and Represent addition and subtraction with CC.2.2.PREK.A.1 Subtraction objects, fingers, mental images, and drawings, sounds, acting out situations, verbal explanations, expressions, or equations.

More information

Algebra I Mathematics

Algebra I Mathematics Scope And Sequence Timeframe Unit Instructional Topics 6 Week(s) 12 Week(s) Relationships between Quantities Linear Relationships Course Overview GENERAL DESCRIPTION: This course is designed to provide

More information

Algebra 1 Duxbury Middle School > > Grade 8 > Mathematics > Algebra 1 > Iacadoro, Stephanie Tuesday, February 28, 2017, 11:58AM

Algebra 1 Duxbury Middle School > > Grade 8 > Mathematics > Algebra 1 > Iacadoro, Stephanie Tuesday, February 28, 2017, 11:58AM Algebra 1 Duxbury Middle School > 2016-2017 > Grade 8 > Mathematics > Algebra 1 > Iacadoro, Stephanie Tuesday, February 28, 2017, 11:58AM Unit Unit 0: Preparing for Algebra * for 282 only (Week 1, 9 Skills

More information

Algebra I Alignment between former TN DOE Mathematics Standards and new TN DOE Mathematics Standards page 1 of 17

Algebra I Alignment between former TN DOE Mathematics Standards and new TN DOE Mathematics Standards page 1 of 17 Algebra I Alignment between former TN DOE Mathematics Standards and new TN DOE Mathematics Standards page 1 of 17 Algebra I Transition to New TN Mathematics Standards Algebra I Mathematical Processes New

More information

Catchup Math and the Common Core Standards. Spring 2011

Catchup Math and the Common Core Standards. Spring 2011 Catchup Math and the Common Core Standards Spring 2011 The Catchup Math curriculum addresses nearly all the Common Core Mathematics Standards for Grades 6 8 and High School (including most of the optional

More information

Grade 7 9 Outcomes Continuum Strand Grade 7 Grade 8 Grade 9

Grade 7 9 Outcomes Continuum Strand Grade 7 Grade 8 Grade 9 Number Sense and Number Concepts GCO A: Students will demonstrate number sense and apply number theory concepts A1 model and use power, base, and exponent to represent repeated multiplication A2 rename

More information

California. Performance Indicator. Form B Teacher s Guide and Answer Key. Mathematics. Continental Press

California. Performance Indicator. Form B Teacher s Guide and Answer Key. Mathematics. Continental Press California Performance Indicator Mathematics Form B Teacher s Guide and Answer Key Continental Press Contents Introduction to California Mathematics Performance Indicators........ 3 Answer Key Section

More information

Math Prep for College Physics

Math Prep for College Physics Math Prep for College Physics This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (190 topics + 52 additional

More information

Integrated Algebra Curriculum

Integrated Algebra Curriculum Integrated Algebra Curriculum Course Description: Course Essential Questions: Integrated Algebra Regents Exam Information: Approximate Percentage of Questions Assessing Each Strand Strand: Percent: Time

More information

ACT MATH MUST-KNOWS Pre-Algebra and Elementary Algebra: 24 questions

ACT MATH MUST-KNOWS Pre-Algebra and Elementary Algebra: 24 questions Pre-Algebra and Elementary Algebra: 24 questions Basic operations using whole numbers, integers, fractions, decimals and percents Natural (Counting) Numbers: 1, 2, 3 Whole Numbers: 0, 1, 2, 3 Integers:

More information

ALGEBRA I CURRICULUM OUTLINE

ALGEBRA I CURRICULUM OUTLINE ALGEBRA I CURRICULUM OUTLINE 2013-2014 OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines

More information

addend angle composite number capacity Vocabulary Flash Cards Review Review Review Review Review Review

addend angle composite number capacity Vocabulary Flash Cards Review Review Review Review Review Review addend angle area bar graph capacity composite number cubic units difference A figure formed by two rays with the same endpoint A number to be added to another number. 2 or 3 in the sum 2 + 3. A graph

More information

Mathematics 6 12 Section 26

Mathematics 6 12 Section 26 Mathematics 6 12 Section 26 1 Knowledge of algebra 1. Identify graphs of linear inequalities on a number line. 2. Identify graphs of linear equations and inequalities in the coordinate plane. 3. Identify

More information

7th Grade Pacing Guide

7th Grade Pacing Guide 7th Grade Pacing Guide 2011-2012 Section Section Title page Brain Pop SPI GLE CFU Vocabulary CHAPTER 1: EXPRESSIONS & PATTERNS EXPRESSIONS 1-1a Powers & Exponents 25 Numbers & Operations: Exponents 2.1

More information

Fall For each standard, the table below shows the applicable Catchup Math curriculum. Covered in Subject and Chapter Programs

Fall For each standard, the table below shows the applicable Catchup Math curriculum. Covered in Subject and Chapter Programs Catchup Math and the Common Core Standards Fall 2012 The Catchup Math curriculum addresses nearly all the Common Core Mathematics Standards for Grades 6-8 and High School (including most of the optional

More information

Glossary. Glossary Hawkes Learning Systems. All rights reserved.

Glossary. Glossary Hawkes Learning Systems. All rights reserved. A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Acute triangle A triangle in which all three angles are acute Addends The

More information

CAMBRIDGE IGCSE MATHS EXAMINATION BOARD COVERAGE

CAMBRIDGE IGCSE MATHS EXAMINATION BOARD COVERAGE CAMBRIDGE IGCSE MATHS EXAMINATION BOARD COVERAGE TIER TOPIC HEADING SUB HEADING Both Number Integers Ordering numbers Both Number Integers Rounding numbers Both Number Integers Adding and subtracting whole

More information

Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~

Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~ Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~ Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding

More information

SpringBoard Mathematics with Meaning Middle School Levels At A Glance (Grades 6, 7, and 8: Middle School Math 1, 2, 3, and Algebra 1)

SpringBoard Mathematics with Meaning Middle School Levels At A Glance (Grades 6, 7, and 8: Middle School Math 1, 2, 3, and Algebra 1) Middle School Mathematics 1 Unit Essential Questions Embedded Assessments Unit Focus on Embedded Assessment Goals Academic Vocabulary Unit 1 How can you use a prime EA#1: Divisibility, GCF, and LCM Embedded

More information

Smithtown Central School District 8 Honors Integrated Algebra Curriculum August 2007 诲꿬矑矓 矓 Ɉ

Smithtown Central School District 8 Honors Integrated Algebra Curriculum August 2007 诲꿬矑矓 矓 Ɉ 矍 Smithtown Central School District 8 Honors Integrated Algebra Curriculum August 2007 I. Review of Real Number System (7 Days) II. III. IV. Algebraic Expressions and Linear Equations (10 Days) Inequalities

More information

Spring Lake Middle School- Accelerated Math 7 Curriculum Map Updated: January 2018

Spring Lake Middle School- Accelerated Math 7 Curriculum Map Updated: January 2018 Domain Standard Learning Targets Resources Ratios and Proportional Relationships 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured

More information

Correlation of Moving with Math Grade 7 to HSEE Mathematics Blueprint

Correlation of Moving with Math Grade 7 to HSEE Mathematics Blueprint Correlation of Moving with Math Grade 7 to HSEE Mathematics Blueprint Number Sense 1.0 Students know the properties of, and compute with, rational numbers expressed n a variety of forms: 1.1 Read, write

More information

Destination Math. Scope & Sequence. Grades K 12 solutions

Destination Math. Scope & Sequence. Grades K 12 solutions Destination Math Scope & Sequence Grades K 12 solutions Table of Contents Destination Math Mastering Skills & Concepts I: Pre-Primary Mathematics, Grades K-1... 3 Destination Math Mastering Skills & Concepts

More information

MATH Spring 2010 Topics per Section

MATH Spring 2010 Topics per Section MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line

More information

Area Formulas. Linear

Area Formulas. Linear Math Vocabulary and Formulas Approximate Area Arithmetic Sequences Average Rate of Change Axis of Symmetry Base Behavior of the Graph Bell Curve Bi-annually(with Compound Interest) Binomials Boundary Lines

More information

Content Guidelines Overview

Content Guidelines Overview Content Guidelines Overview The Pearson Video Challenge is open to all students, but all video submissions must relate to set of predetermined curriculum areas and topics. In the following pages the selected

More information

OBJECTIVES UNIT 1. Lesson 1.0

OBJECTIVES UNIT 1. Lesson 1.0 OBJECTIVES UNIT 1 Lesson 1.0 1. Define "set," "element," "finite set," and "infinite set," "empty set," and "null set" and give two examples of each term. 2. Define "subset," "universal set," and "disjoint

More information

High School Preparation for Algebra 1

High School Preparation for Algebra 1 High School Preparation for Algebra 1 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence

More information

Index. Excerpt from "Art of Problem Solving Volume 1: the Basics" 2014 AoPS Inc. / 267. Copyrighted Material

Index. Excerpt from Art of Problem Solving Volume 1: the Basics 2014 AoPS Inc.  / 267. Copyrighted Material Index Ø, 247 n k, 229 AA similarity, 102 AAS congruence, 100 abscissa, 143 absolute value, 191 abstract algebra, 66, 210 altitude, 95 angle bisector, 94 Angle Bisector Theorem, 103 angle chasing, 133 angle

More information

Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10

Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10 Prep for Calculus This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (281 topics + 125 additional topics) Real

More information

MATHEMATICS Grade 7 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Number and Number Systems

MATHEMATICS Grade 7 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Number and Number Systems Standard: Number, Number Sense and Operations Number and Number Systems A. Represent and compare numbers less than 0 through familiar applications and extending the number line. 1. Demonstrate an understanding

More information

Algebra 1 Math Year at a Glance

Algebra 1 Math Year at a Glance Real Operations Equations/Inequalities Relations/Graphing Systems Exponents/Polynomials Quadratics ISTEP+ Radicals Algebra 1 Math Year at a Glance KEY According to the Indiana Department of Education +

More information

Quantile Report Prentice Hall

Quantile Report Prentice Hall Quantile Report Prentice Hall DATE: Friday, September 18, 2009 CONTACT: Kanista Zuniga Agreement and Work Request EMAIL: kzuniga@lexile.com PHONE: 919-547-3426 CONTACT: Bridgett McDowell Quantile Editor

More information