A: Students will demonstrate number sense and apply number-theory concepts.

A.1: solve problems involving square root and principal square root

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

A.2: graph, and write in symbols and in words, the solution set for equations and inequalities involving integers and other real numbers

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Points, Lines, and Equations
Solving Linear Inequalities in One Variable

A.5: compare and order real numbers

Comparing and Ordering Decimals
Rational Numbers, Opposites, and Absolute Values

B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

B.2: add, subtract, multiply, and divide rational numbers in fractional and decimal forms, using the most appropriate method

Fractions with Unlike Denominators
Square Roots

B.4: demonstrate an understanding of, and apply the exponent laws for, integral exponents

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

B.5: model, solve, and create problems involving numbers expressed in scientific notation

Unit Conversions

B.6: determine the reasonableness of results in problem situations involving square roots, rational numbers, and numbers written in scientific notation

Rational Numbers, Opposites, and Absolute Values

B.7: model, solve, and create problems involving the matrix operations of addition, subtraction, and scalar multiplication

Translations

B.8: add and subtract polynomial expressions symbolically to solve problems

Addition of Polynomials

B.9: factor algebraic expressions with common monomial factors, concretely, pictorially, and symbolically

Factoring Special Products

B.11: find products of two monomials, a monomial and a polynomial, and two binomials, concretely, pictorially, and symbolically

Multiplying Exponential Expressions

B.12: find quotients of polynomials with monomial divisors

Dividing Polynomials Using Synthetic Division

B.14: demonstrate an understanding of the applicability of commutative, associative, distributive, identity, and inverse properties to operations involving algebraic expressions

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II

B.15: select and use appropriate strategies in problem situations

Estimating Population Size

C: Students will explore, recognize, represent, and apply patterns and relationships, both informally and formally.

C.3: construct and analyse tables and graphs to describe how changes in one quantity affect a related quantity

Translating and Scaling Functions
Zap It! Game

C.4: determine the equations of lines by obtaining their slopes and y-intercepts from graphs, and sketch graphs of equations using y-intercepts and slopes

Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line

C.6: solve single-variable equations algebraically, and verify the solutions

Absolute Value Equations and Inequalities
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Two-Step Equations

C.7: solve first-degree single-variable inequalities algebraically, verify the solutions, and display them on number lines

Absolute Value Equations and Inequalities
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable

C.8: solve and create problems involving linear equations and inequalities

Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations by Graphing Each Side
Solving Two-Step Equations
Systems of Linear Inequalities (Slope-intercept form)

D: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

D.2: solve measurement problems involving conversion among SI units

Unit Conversions

D.3: relate the volumes of pyramids and cones to the volumes of corresponding prisms and cylinders

Pyramids and Cones

D.4: estimate, measure, and calculate dimensions, volumes, and surface areas of pyramids, cones, and spheres in problem situations

Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

D.5: demonstrate an understanding of and apply proportions within similar triangles

Beam to Moon (Ratios and Proportions) - Metric

E: Students will demonstrate spatial sense and apply geometric concepts, properties, and relationships.

E.1: investigate, and demonstrate an understanding of, the minimum sufficient conditions to produce unique triangles

Classifying Triangles
Concurrent Lines, Medians, and Altitudes
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Similarity in Right Triangles
Triangle Inequalities

E.2: investigate, and demonstrate an understanding of, the properties of, and the minimum sufficient conditions to, guarantee congruent triangles

Congruence in Right Triangles
Constructing Congruent Segments and Angles
Proving Triangles Congruent

E.4: demonstrate an understanding of and apply the properties of similar triangles

Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles

E.5: relate congruence and similarity of triangles

Similar Figures

E.8: investigate, determine, and apply the effects of transformations of geometric figures on congruence, similarity, and orientation

Circles
Dilations
Reflections
Rotations, Reflections, and Translations
Translations

F: Students will solve problems involving the collection, display and analysis of data.

F.1: describe characteristics of possible relationships shown in scatterplots

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

F.2: sketch lines of best fit and determine their equations

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines

F.3: sketch curves of best fit for relationships that appear to be non-linear

Correlation

F.4: select, defend, and use the most appropriate methods for displaying data

Box-and-Whisker Plots
Correlation
Stem-and-Leaf Plots

F.5: draw inferences and make predictions based on data analysis and data displays

Correlation
Real-Time Histogram

F.6: demonstrate an understanding of the role of data management in society

Polling: City
Real-Time Histogram

F.7: evaluate arguments and interpretations that are based on data analysis

Polling: City

G: Students will represent and solve problems involving uncertainty.

G.1: make predictions of probabilities involving dependent and independent events by designing and conducting experiments and simulations

Independent and Dependent Events
Theoretical and Experimental Probability

G.2: determine theoretical probabilities of independent and dependent events

Independent and Dependent Events
Theoretical and Experimental Probability

G.3: demonstrate an understanding of how experimental and theoretical probabilities are related

Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

G.4: recognize and explain why decisions based on probabilities may be combinations of theoretical calculations, experimental results, and subjective judgments

Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability