From the Book - 13th edition.
An introduction to problem solving. Mathematics and problem solving ; Explorations with patterns
Introduction to logic and sets. Reasoning and logic : an introduction ; Describing sets ; Other set operations
Numeration systems and whole number operations. Numeration systems ; Addition of whole numbers ; Subtraction of whole numbers ; Multiplication of whole numbers ; Division of whole numbers
Number theory. Divisibility ; Prime and composite numbers ; Greatest common divisor and least common multiple
Integers. Addition and subtraction of integers ; Multiplication and division of integers
Rational numbers and proportional reasoning. The set of rational numbers ; Addition, subtraction, and estimation with rational numbers ; Multiplication, division, and estimation with rational numbers ; Proportional reasoning
Decimals, percents, and real numbers. Terminating decimals ; Operations on decimals ; Repeating decimals ; Percents ; Real numbers
Algebraic thinking. Variables ; Equals relation and equations ; Functions ; Equations in a Cartesian coordinate system
Probability. Determining probabilities ; Multistage experiments and modeling games ; Simulations and applications of probability ; Counting and techniques in probability
Data analysis/statistics : an introduction. Designing experiments/collecting data ; Displaying data : Part I Displaying data : Part II ; Measures of central tendency and variation
Introductory geometry. Basic notions ; Curves, polygons, and symmetry ; More about angles ; Geometry in three dimensions
Congruence and similarity with constructions. Congruence through constructions ; Additional congruence theorems ; Additional constructions ; Similar triangles and other similar figures
Area, Pythagorean theorem, and volume. Linear measure ; Areas of polygons and circles ; The Pythagorean theorem, distance formula, and equation of a circle ; Surface areas ; Volume and mass
Transformations. Translations, rotations, and tessellations ; Reflections and glide reflections ; Dilations
Answers to select problems.
