CMP Textbooks

Areas of focus

Thinking with Mathematical Models

Functions: recognize and analyze linear relationships, compare linear patterns with nonlinear patterns(*inverse), and write equations that summarize, or model data patterns

Looking for Pythagoras                          

Pythagorean Theorem: explore side lengths and areas of right triangles and squares,  discover the Pythagorean theorem, and use irrational numbers as representations of length

Growing, Growing, Growing

Exponential Growth & Decay: Graphing and writing exponential functions

Frogs, Fleas, and Painted Cubes

Quadratic Growth: Graphing, writing, and solving quadratic functions

Samples and Populations

Statistics: Gathering data from samples to make predictions about populations

Say it With Symbols

Symbolic expressions: Simplifying expressions and solving more complicated linear equations

Shapes of Algebra

Transformational geometry: Symmetries and their relationship to algebraic properties

Chapter

Areas of focus

Data Exploration

Measures of center, five-number summary, pictograph, bar graph, histogram, dot plot, stem-and-leaf plot, and box-plot

Proportional Reasoning

Ratios,  proportions, percents, conversion factors, and dimensional analysis

Variations and Graphs

Rates, similar figures, direct and inverse relationships

Linear Equations

Recursive sequences, evaluating expressions, solving equations using the balancing method & by undoing operations, rate of change, linear plots

Fitting a line to data

Slope formula, linear equations & the intercept form, writing a linear equation to fit data, equivalent algebraic equations

Systems of Equations & Inequalities

Solving Systems of Equations (graphically, substitution method, elimination method), Inequalities in 1-variable & 2-variables, Solving Systems of Inequalities(graphically)

Exponents and Exponential Models

Recursive routines, exponential equations (growth & decay), positive, zero & negative exponents, scientific notation

Functions

Identifying functions (given table, graph or equation), function notation, absolute value function, basic quadratic function (b=0, c=0), square root

Quadratic Models

Solving quadratic equations, finding the roots & vertex, factored form, general form, quadratic formula

Chapter

Areas of focus

Introducing Geometry

Overview of content

Reasoning in Geometry

Inductive reasoning, deductive reasoning, finding the nth term, linear pair of angles, vertical angles, special angles on parallel lines

Using Tools in Geometry

Duplicating: segments & angles;  Constructing: perpendicular bisectors, perpendiculars to a line, angle bisectors, parallel lines, circumcenter, incenter, orthocenter, & centroid; One point perspective drawings

Discovering & Proving Triangle Properties

Triangle sum conjecture, properties of isosceles triangles,  congruency shortcuts, corresponding parts of congruent triangles, proving special triangle conjectures

Discovering & Proving Polygon Properties

Polygon sum conjecture, exterior angles of a polygon, properties of kites & trapezoids, properties of triangle mid-segments & trapezoid mid-segments,  properties of special parallelograms, proving quadrilateral properties

Discovering & Proving Circle Properties

Tangent properties, chord properties, arcs and angles, pi, arc length, proving circle conjectures

Area

Solving problems using the area formulas for: rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, & circles. Finding the surface area of regular pyramids & cones                                                                        

Pythagorean Theorem

Pythagorean Theorem, Converse of Pythagorean Theorem properties of  isosceles right and 30°-60°-90° triangles, the distance formula

Volume

Euler’s formula for polyhedrons, volume formula for prisms, cylinders, pyramids, and cones, density and displacement, volume and surface area of spheres,

Probability

Geometric probability, counting outcomes, tree diagrams, mutually exclusive events, Venn diagrams, expected value, permutations, and combinations

Similarity

Similar Polygons, similar triangles (similarity shortcuts, indirect measurement, & corresponding parts), solving proportions with area, surface area, & volume, proportional segments between parallel lines

Chapter

Areas of focus

Patterns & Multiple Representations

Finding the 10^th term of a sequence, finding the nth term of a sequence, representing a problem situation using a table, graph & equation

Proportional Reasoning, Percents & Direct Variation

Sampling, ratios (part-to-whole relationships & part-to-part relationships), rates, proportions, mixture problems, indirect measurement, direct variation & percents

Solving Linear Equations

Solving 1-step equations, solving 2-step equations, using the percent equation, algebraic check of a solution & graphical check of a solution

Linear Functions & Inequalities

The distributive property

Writing & Graphing Linear Equations

Finding intercepts of graphs, finding the slope of a line, writing equations of lines in intercept form & solving literal equations

Lines of Best Fit

Using lines of best fit

Systems of Equations

Solving Linear Systems: graphically, using substitution & using linear combinations

Systems of Inequalities

Writing and Graphing an inequality in 2 variables

Quadratic Functions

Square roots & radicals

Properties of Exponents

Scientific notation

Polynomial Functions & Rational Expressions

Multiplying binomials & factoring polynomials

Statistical Analysis

Collecting & analyzing date, box plots