Clast Manual Thinking Mathematically

by Wooland, James; Dameron, Liz (CON)

• ISBN13: 9780131443730
• ISBN10: 0131443739
• Edition: 3rd
• Format: Paperback
• Copyright: 2004-04-15
• Publisher: Pearson College Div

Table of Contents

PART I: A Guide to the CLAST SKILLS
Arithmetic Skills
Add, subtract, multiply, divide rational numbers Skill I.A.1	1	(2)
Add, subtract, multiply, divide decimal numbers Skill I.A.2	3	(2)
Percent increase and percent decrease Skill I.A.3	5	(2)
Solves a% of b is c Skill I.A.4	7	(2)
Meaning of exponents Skill II.A.1	9	(2)
Place value in the base-ten numeration system Skill II.A.2	11	(2)
Equivalent decimals, percents, fractions Skill II.A.3	13	(3)
Order relation between real numbers Skill II.A.4	16	(2)
Estimate a sum, average or product Skill II.A.5	18	(3)
Infer relations between numbers Skill III.A.1	21	(3)
Real-world problems that don't require variables and don't involve percent Skill IV.A.1	24	(1)
Real-world problems that don't require variables and do involve percent Skill IV.A.2	25	(2)
Logic and structure of arithmetic Skill IV.A.3	27	(2)
Geometry Skills
Round measurements Skill I.B.1	29	(2)
Calculate distances, areas, volume Skill I.B.2	31	(6)
Relationships between angle measures Skill II.B.1	37	(3)
Classify simple plane figures Skill II.B.2	40	(2)
Similar triangles Skill II.B.3	42	(5)
Appropriate units of measure Skill II.B.4	47	(2)
Infer formulas Skill III.B.1	49	(5)
Select applicable formulas Skill III.B.2	54	(3)
Real-world problems involving perimeter, area, volume Skill IV.B.1	57	(4)
Real-world problems involving the Pythagorean property Skill IV.B.2	61	(3)
Algebra Skills
Add, subtract, multiply, divide real numbers Skill I.C.1	64	(2)
Order of operations agreement Skill I.C.2	66	(2)
Use scientific notation Skill I.C.3	68	(2)
Solve linear equations and inequalities Skill I.C.4	70	(3)
Use formulas to compute results Skill I.C.5	73	(1)
Find values of a function Skill I.C.6	74	(1)
Factor quadratic expressions Skill I.C.7	75	(1)
Solve quadratic equations Skill I.C.8	76	(3)
Solve systems of linear equations Skill I.C.9	79	(4)
Use properties of operations Skill II.C.1	83	(2)
Verify solutions of equations and inequalities Skill II.C.2	85	(2)
Proportionality and variation Skill II.C.3	87	(3)
Graphs of systems of linear inequalities Skill II.C.4	90	(6)
Equivalent equations and inequalities Skill III.C.2	96	(2)
Real-world problems involving variables Skill IV.C.1	98	(3)
Logic and structure of algebra Skill IV.C.2	101	(2)
Statistics Skills
Identify information in bar, line and circle graphs Skill I.D.1	103	(3)
Determine mean, median, mode Skill I.D.2	106	(2)
Fundamental counting principle Skill I.D.3	108	(3)
Relationships between mean, median, mode Skill II.D.1	111	(4)
Select unbiased sample Skill II.D.2	115	(2)
Probability of outcome in an experiment Skill II.D.3	117	(7)
Infer relations from statistical data Skill III.D.1	124	(4)
Real-world data involving frequency tables Skill IV.D.1	128	(7)
Real-world probability problems Skill IV.D.2	135	(5)
Logic Skills
Interpret set diagrams Skill I.E.1	140	(2)
Negations of statements Skill II.E.1	142	(3)
Equivalence of statements Skill II.E.2	145	(3)
Draw logical conclusions from data Skill II.E.3	148	(3)
Invalid arguments with true conclusions Skill II.E.4	151	(6)
Recognize valid reasoning patterns Skill III.E.1	157	(2)
Rules for transforming statements Skill III.E.2	159	(2)
Draw logical conclusions when warranted Skill IV.E.1	161	(5)
PART II: CLAST Exercises for Sections of Thinking Mathematically
Inductive Reasoning	166	(1)
Estimation and Graphs	167	(4)
Venn Diagrams and Subsets	171	(3)
Quantified Statements	174	(2)
Conditional Statements, DeMorgan's Laws	176	(4)
Arguments and Truth Tables	180	(8)
Arguments and Euler Diagrams	188	(3)
Hindu-Arabic Number System	191	(2)
Number Theory	193	(2)
The Integers	195	(1)
The Rational Numbers	196	(5)
The Irrational Numbers	201	(2)
Exponents and Scientific Notation	203	(1)
Sequences	204	(2)
Algebraic Expressions and Formulas	206	(3)
Solving Linear Equations	209	(2)
Applications of Linear Equations	211	(2)
Ratio, Proportion, Variation	213	(2)
Solving Linear Inequalities	215	(2)
Solving Quadratic Equations	217	(7)
Functions	224	(1)
Systems of Linear Equations	225	(3)
Linear Inequalities	228	(6)
Percent	234	(7)
Measuring Length	241	(2)
Measuring Area and Volume	243	(2)
Points, Lines, Angles, Planes	245	(4)
Triangles	249	(17)
Polygons, Quadrilaterals, Perimeter	266	(15)
Area, Circumference, Volume	281	(14)
Fundamental Counting Principle	295	(2)
Permutations	297	(2)
Combinations	299	(2)
Fundamentals of Probability	301	(3)
Probability With Counting Techniques	304	(1)
Events Involving Not and Or	305	(6)
Events Involving And, Conditional Probability	311	(5)
Sampling, Distributions, Graphs	316	(9)
Measures of Central Tendency	325	(9)
Percentile Rank	334	(3)
Correlation	337	(6)
Practice CLAST A	343	(15)
Practice CLAST B	358	(13)
Answers to exercises	371