1 SE = Student Edition - TG = Teacher s Guide

Transcription

1 Mathematics State Goal 6: Number Sense Standard 6A Representations and Ordering Read, Write, and Represent Numbers Read, write, and recognize equivalent representations of integer powers of Read, write, recognize, model, and interpret integers, including translating numerical expressions Recognize, translate between, and apply multiple representations of rational numbers (decimals, fractions, mixed numbers, percents, and roots) Use scientific notation to represent numbers and solve problems Represent repeated factors using exponents. Order and Compare Numbers Order and compare rational numbers. Number Line Identify and locate rational and irrational numbers (e.g., π, 2, 5) on a number line. Classifications of Numbers Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., exponents, roots, prime/composite, prime factorization, greatest common factor, least common multiple). 1 (5-19), Investigation 5 (59-73) 1 (19-43), Investigation 5 (98-117) Online Activities: NO-i Understanding Integers, NO-n Integer Operations SE: Looking for Pythagoras Investigation 2 (19-30), Investigation 4 (46-64); Say It With Symbols Investigation 1 (5-22) TG: Looking for Pythagoras Investigation 2 (34-50), Investigation 4 (73-96); Say It With Symbols Investigation 1 (19-43) 1 (5-19), Investigation 4 (48-58), Investigation 5 (59-73) 1 (19-43), Investigation 4 (80-97), Investigation 5 (98-117) 1 (5-19) 1 (19-43) 3 (33-47), Investigation 4 (48-58) 3 (61-79), Investigation 4 (80-97) SE: Looking for Pythagoras Investigation 2 (19-30), Investigation 4 (46-64) TG: Looking for Pythagoras Investigation 2 (34-50), Investigation 4 (73-96) 1 (5-19); Looking for Pythagoras Investigation 4 (46-64) 1

2 Standards 6B, 6C Computation, Operations, Estimation, and Properties Number Operations Solve problems and number sentences involving addition, subtraction, multiplication, and division using rational numbers, exponents, and roots Identify and apply order of operations to simplify numeric expressions involving integers (including exponents and roots), fractions, and decimals. 1 (19-43); Looking for Pythagoras Investigation 4 (73-96) 5 (59-73); Looking for Pythagoras Investigation 2 (19-30); Say It With Symbols Investigation 1 (5-22) 5 (98-117); Looking for Pythagoras Investigation 2 (34-50); Say It With Symbols Investigation 1 (19-43) SE: Frogs, Fleas, and Painted Cubes Investigation 1 (5-18), Investigation 2 (19-39) TG: Frogs, Fleas, and Painted Cubes Investigation 1 (19-45), Investigation 2 (46-86) Properties Identify and apply the following properties of operations with rational numbers: the commutative and associative properties for addition and multiplication; the distributive property; the additive and multiplicative identity properties; the additive and multiplicative inverse properties; and the multiplicative property of zero. SE: Say It With Symbols Investigation 1 (5-22), Investigation 5 (72-84)TG: Say It With Symbols Investigation 1 (19-43), Investigation 5 ( ) SE: Frogs, Fleas, and Painted Cubes Investigation 2 (19-39); Say It With Symbols Investigation 1 (5-22), Investigation 5 (72-84) TG: Frogs, Fleas, and Painted Cubes Investigation 2 (46-86); Say It With Symbols Investigation 1 (19-43), Investigation 5 ( ) Online Activity: NO-f Properties Investigation 3 (47-61) Investigation 3 (61-80) Opportunities to address this standard can be found on the following pages: SE: Say It With Symbols Investigation 3 (37-55) TG: Say It With Symbols Investigation 3 (64-92) Properties Describe the effect of multiplying and dividing by numbers, including the effect of multiplying or dividing a rational number by: a number less than zero; Online Activity: NO-n Integer Operations 2

3 zero; a number between zero and one; and a number greater than one. Estimation Select, use, and justify appropriate operations, methods, and tools to compute or estimate with rational numbers. Verify solutions and determine the reasonableness of results Estimate the square or cube root of a number less than 1,000 between two whole numbers (e.g., is between 5 and 6). Standard 6D Ratios, Proportions, and Percents Identify and Express Ratios Use ratios to describe problem situations. Proportional Reasoning Use proportional reasoning to model and solve problems. Percents Read, write, recognize, model, and interpret percents, including those less than 1% and greater than 100%. Opportunities to address this standard can be found on the following pages: Investigation 2 (24-46); The Shapes of Algebra Investigation 1 (5-23), Investigation 2 (24-36); Say It With Symbols Investigation 1 (5-22) Investigation 2 (37-60); The Shapes of Algebra Investigation 1 (17-36), Investigation 2 (37-54); Say It With Symbols Investigation 1 (19-43) Online Activity: NO-l Multiplying and Dividing Rational Numbers Online Activity: NO-l Multiplying and Dividing Rational Numbers Investigation 2 (24-46); The Shapes of Algebra Investigation 1 (5-23), Investigation 2 (24-36); Say It With Symbols Investigation 1 (5-22) Investigation 2 (37-60); The Shapes of Algebra Investigation 1 (17-36), Investigation 2 (37-54); Say It With Symbols Investigation 1 (19-43) SE: Looking for Pythagoras Investigation 2 (19-30) TG: Looking for Pythagoras Investigation 2 (34-50) Online Activities: AL-d Proportional Relationships, AL-h Using Proportions and Proportional Reasoning Investigation 3 (47-61); Kaleidoscopes, Hubcaps, and Mirrors Investigation 4 (65-77) Investigation 3 (61-80); Kaleidoscopes, Hubcaps, and Mirrors Investigation 4 (97-111) Opportunities to address this standard can be found on the following pages: 3 (33-47), Investigation 4 (48-58), Investigation 5 (59-73) 3

4 Solve number sentences and problems involving fractions, decimals, and percents (e.g., percent increase and decrease, interest rates, tax, discounts, tips). 3 (61-79), Investigation 4 (80-97), Investigation 5 (98-117) 3 (33-47), Investigation 4 (48-58), Investigation 5 (59-73) 3 (61-79), Investigation 4 (80-97), Investigation 5 (98-117) Mathematics State Goal 7: Measurement Standards 7A, 7B, 7C Units, Tools, Estimation, and Applications Measurement Tools Select and use appropriate standard units and tools to solve measurement problems, including measurements of polygons and circles. Area, Perimeter, and Circumference Solve problems involving perimeter/circumference and area of polygons, circles, and composite figures using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description). Estimation Compare and estimate length (including perimeter/circumference), area, volume, weight/mass, and angles (0 to 360 ) using referents. Volume and Surface Area Solve problems involving the volume or surface area of a right rectangular prism, right circular cylinder, or composite shape using an appropriate formula or strategy. Investigation 1 (5-26), Investigation 2 (27-47), Investigation 3 (48-64), Investigation 4 (65-77); Looking for Pythagoras Investigation 1 (5-18), Investigation 3 (31-45), Investigation 4 (46-64) Investigation 1 (18-42), Investigation 2 (44-73), Investigation 3 (74-96), Investigation 4 (97-111); Looking for Pythagoras Investigation 1 (16-33), Investigation 3 (51-72), Investigation 4 (73-96) Investigation 2 (27-47), Investigation 3 (48-64), Investigation 4 (65-77); Looking for Pythagoras Investigation 1 (5-18), Investigation 2 (19-30), Investigation 3 (31-45), Investigation 4 (46-64) Investigation 2 (44-73), Investigation 3 (74-96), Investigation 4 (97-111); Looking for Pythagoras Investigation 1 (16-33), Investigation 2 (34-50), Investigation 3 (51-72), Investigation 4 (73-96) SE: Looking for Pythagoras Investigation 4 (46-64) TG: Looking for Pythagoras Investigation 4 (73-96) Investigation 1 (5-26) 4

5 Measurement Conversions Solve problems involving unit conversions within the same measurement system for length, weight/mass, capacity, square units, and measures expressed as rates (e.g., converting feet/second to yards/minute). Indirect Measurements and Scale Drawings Solve problems involving scale drawings, maps, and indirect measurement (e.g., determining the height of a building by comparing its known shadow length to the known height and shadow length of another object). Investigation 1 (18-42) Online Activities: ME-a Using Fractions of an Inch and Converting Measurements, ME-b Conversion Factors, ME-d Dimensional Analysis Investigation 4 (65-77) Investigation 4 (97-111) Mathematics State Goal 8: Algebra Standard 8A Representations, Patterns, and Expressions Patterns Analyze, extend, and create sequences or linear functions, and determine algebraic expressions to describe the nth term of a sequence. Write and Simplify Expressions Write an expression using variables to represent unknown quantities. Investigation 1 (5-23), Investigation 2 (24-46); Say It With Symbols Investigation 5 (72-84) Investigation 1 (15-36), Investigation 2 (37-60); Say It With Symbols Investigation 5 ( ) SE: Say It With Symbols Investigation 1 (5-22), Investigation 2 (23-36) TG: Say It With Symbols Investigation 1 (19-43), Investigation 2 (44-62) Simplify algebraic expressions. SE: Say It With Symbols Investigation 1 (5-22) TG: Say It With Symbols Investigation 1 (19-43) Recognize and generate equivalent forms of algebraic expressions. Evaluate Algebraic Expressions Evaluate or simplify algebraic expressions with one or more rational variable values (e.g., 3a2 b for a = 3 and b = 7). SE: Say It With Symbols Investigation 1 (5-22), Investigation 2 (23-36) TG: Say It With Symbols Investigation 1 (19-43), Investigation 2 (44-62) SE: Say It With Symbols Investigation 1 (5-22) 5

6 Standard 8B Connections Using Tables, Graphs, and Symbols Describing Change Recognize, describe, and extend patterns using rate of change. Coordinate System Represent linear equations and quantitative relationships on a rectangular coordinate system, and interpret the meaning of a specific part of a graph. TG: Say It With Symbols Investigation 1 (19-43) 1 (5-19), Investigation 2 (20-32), Investigation 3 (33-47), Investigation 4 (48-58), Investigation 5 (59-73); Thinking with Mathematical Models Investigation 1 (5-23), Investigation 2 (24-46), Investigation 3 (47-61); Frogs, Fleas, and Painted Cubes Investigation 3 (40-54), Investigation 4 (55-79) 1 (19-43), Investigation 2 (44-60), Investigation 3 (61-79), Investigation 4 (80-97), Investigation 5 (98-117); Thinking with Mathematical Models Investigation 1 (15-36), Investigation 2 (37-60), Investigation 3 (61-80); Frogs, Fleas, and Painted Cubes Investigation 3 (88-114), Investigation 4 ( ) Investigation 1 (5-23), Investigation 2 (24-46) Investigation 1 (15-36), Investigation 2 (37-60) Representations Translate between different representations (table, written, graphical, or pictorial) of whole number relationships and linear expressions Interpret the meaning of slope and intercepts in linear situations. Inequalities Identify, graph, and interpret up to two inequalities with a single variable (including the intersection or union of these inequalities) on a number line. Investigation 1 (5-23), Investigation 2 (24-46) Investigation 1 (15-36), Investigation 2 (37-60) Investigation 2 (24-46) Investigation 2 (37-60) SE: The Shapes of Algebra Investigation 2 (24-36), Investigation 3 (37-51) TG: The Shapes of Algebra Investigation 2 (37-54), Investigation 3 (55-74) 6

7 Standards 8C, 8D Writing, Interpreting, and Solving Equations Write Equations and Inequalities Represent and analyze problems with linear equations and inequalities. Solve Equations and Inequalities Solve linear equations and inequalities in one variable over the rational numbers (e.g., 5x+7= 13, 4x 3= 7x+8, 2x+3> 5) Solve word problems involving unknown quantities. Mathematics State Goal 9: Geometry Standard 9A Properties of Single Figures and Coordinate Geometry Properties of Single Figures Solve problems involving two and three dimensional shapes Solve problems that require knowledge of triangle and quadrilateral properties (e.g., triangle inequality). Investigation 2 (24-46); The Shapes of Algebra Investigation 2 (24-36), Investigation 3 (37-51), Investigation 4 (52-68), Investigation 5 (69-82) Investigation 2 (37-60); The Shapes of Algebra Investigation 2 (37-54), Investigation 3 (55-74), Investigation 4 (75-98), Investigation 5 ( ) SE: The Shapes of Algebra Investigation 2 (24-36), Investigation 3 (37-51), Investigation 4 (52-68) TG: The Shapes of Algebra Investigation 2 (37-54), Investigation 3 (55-74), Investigation 4 (75-98) SE: The Shapes of Algebra Investigation 2 (24-36), Investigation 3 (37-51), Investigation 4 (52-68), Investigation 5 (69-82) TG: The Shapes of Algebra Investigation 2 (37-54), Investigation 3 (55-74), Investigation 4 (75-98), Investigation 5 ( ) Investigation 1 (5-26), Investigation 2 (27-47), Investigation 3 (48-64), Investigation 4 (65-77), Investigation 5 (78-95); Looking for Pythagoras Investigation 1 (5-18), Investigation 2 (19-30), Investigation 3 (31-45), Investigation 4 (46-64) Investigation 1 (18-42), Investigation 2 (44-73), Investigation 3 (74-96), Investigation 4 (97-111), Investigation 5 ( ); Looking for Pythagoras Investigation 1 (16-33), Investigation 2 (34-50), Investigation 3 (51-72), Investigation 4 (73-96) Investigation 3 (48-64), Investigation 4 (65-77); Looking for Pythagoras Investigation 1 (5-18), Investigation 2 (19-30), Investigation 3 (31-45), Investigation 4 (46-64) 7

8 Find the length of any side of a right triangle using the Pythagorean theorem (whole number solutions). Circles Identify, describe, and determine the radius, diameter, and circumference of a circle and their relationship to each other and to pi. Coordinate Geometry Graph points, and identify coordinates of points on the Cartesian coordinate plane (all four quadrants) Represent and identify geometric figures using coordinate geometry, including those resulting from transformations. Transformations Analyze the results of a combination of transformations, and determine a different transformation that could produce the same result. Lines, Segments, Rays, and Angles Identify or analyze relationships of angles formed by intersecting lines (including parallel lines cut by a transversal) and angles formed by radii of a circle Solve problems involving vertical, complementary, and supplementary angles. Investigation 3 (74-96), Investigation 4 (97-111); Looking for Pythagoras Investigation 1 (16-33), Investigation 2 (34-50), Investigation 3 (51-72), Investigation 4 (73-96) SE: Looking for Pythagoras Investigation 3 (31-45), Investigation 4 (46-64) TG: Looking for Pythagoras Investigation 3 (51-72), Investigation 4 (73-96) SE: Looking for Pythagoras Investigation 3 (31-45) TG: Looking for Pythagoras Investigation 3 (51-72) SE: Looking for Pythagoras Investigation 1 (5-18), Investigation 2 (19-30), Investigation 3 (31-45), Investigation 4 (46-64) TG: Looking for Pythagoras Investigation 1 (16-33), Investigation 2 (34-50), Investigation 3 (51-72), Investigation 4 (73-96) Investigation 2 (27-47), Investigation 5 (78-95) Investigation 2 (44-73), Investigation 5 ( ) Investigation 2 (27-47), Investigation 5 (78-95) Investigation 2 (44-73), Investigation 5 ( ) Investigation 4 (65-77) Investigation 4 (97-111) Investigation 4 (65-77) Investigation 4 (97-111) 8

9 Standard 9B Relationships Between and Among Multiple Figures Relationships Between Two- and Three-Dimensional Objects Identify front, side, and top views of a three dimensional solid built with cubes. Congruency and Similarity Solve problems involving congruent and similar figures. Online Activity: GM-e Sketching Views of Figures Investigation 2 (27-47), Investigation 3 (48-64), Investigation 4 (65-77) Investigation 2 (44-73), Investigation 3 (74-96), Investigation 4 (97-111) Distance Relate absolute value to distance Online Activity: NO-o Comparing Numbers and on the number line. Absolute Value Mathematics State Goal 10: Data Analysis, Statistics, and Probability Standards 10A, 10B Data Analysis and Statistics Read and Interpret Displays Read, interpret (including possible misleading characteristics), and make predictions from data represented in a bar graph, line (dot) plot, Venn diagram (with two or three circles), chart/table, line graph, scatterplot, circle graph, stem and leaf plot, or histogram Compare and contrast the effectiveness of different representations of the same data. Complete and Create Displays Create a bar graph, chart/table, line graph, or circle graph and solve a problem using the data in the graph for a given set of data. Line of Best Fit Identify or draw a reasonable approximation of the line of best fit from a set of data or a scatter plot, and use the line to make predictions. Statistics Analyze and apply measures of central tendency (mode, range, median, and mean) in problem solving situations. SE: Samples and Populations Investigation 1 (5-25), Investigation 2 (26-46), Investigation 3 (47-61), Investigation 4 (62-80) TG: Samples and Populations Investigation 1 (19-51), Investigation 2 (52-74), Investigation 3 (76-94), Investigation 4 (95-109) Online Activity: DA-a Choosing Appropriate Graphs: Pictographs and Line Graphs SE: Samples and Populations Investigation 1 (5-25), Investigation 4 (62-80) TG: Samples and Populations Investigation 1 (19-51), Investigation 4 (95-109) SE: Samples and Populations Investigation 4 (62-80) TG: Samples and Populations Investigation 4 (95-109) SE: Samples and Populations Investigation 1 (5-25), Investigation 2 (26-46), Investigation 4 (62-80) 9

10 Standard 10C Probability Probability Solve problems involving the probability of an event composed of repeated trials, compound events (including independent events), or future events with or without replacement. Outcomes and Counting Principles Represent all possible outcomes (sample pace) for simple or compound events (e.g., tables, grids, tree diagrams) Solve simple problems involving the number of ways objects can be arranged (permutations and combinations). TG: Samples and Populations Investigation 1 (19-51), Investigation 2 (52-74), Investigation 4 (95-109) SE: Samples and Populations Investigation 2 (26-46) TG: Samples and Populations Investigation 2 (52-74) Opportunities to address this standard can be found on the following pages: SE: Samples and Populations Investigation 2 (26-46) TG: Samples and Populations Investigation 2 (52-74) 10