### 1: Students develop number sense and use numbers and number relationships in problem-solving situations and communicate the reasoning used in solving these problems.

#### 1.1: demonstrate meanings for real numbers, absolute value, and scientific notation using physical materials and technology in problem-solving situations;

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Rational Numbers, Opposites, and Absolute Values

Unit Conversions

### 2: Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.

#### 2.1: model real-world phenomena (for example, distance-versus-time relationships, compound interest, amortization tables, mortality rates) using functions, equations, inequalities, and matrices;

Compound Interest

Linear Inequalities in Two Variables

Solving Equations on the Number Line

#### 2.2: represent functional relationships using written explanations, tables, equations, and graphs, and describing the connections among these representations;

Function Machines 1 (Functions and Tables)

Linear Functions

#### 2.4: analyze and explain the behaviors, transformations, and general properties of types of equations and functions (for example, linear, quadratic, exponential); and

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Exponential Functions

Linear Functions

Logarithmic Functions

Translating and Scaling Functions

### 3: Students use data collection and analysis, statistics, and probability in problem-solving situations and communicate the reasoning used in solving these problems.

#### 3.2: analyze statistical claims for erroneous conclusions or distortions;

Polling: City

Polling: Neighborhood

Populations and Samples

#### 3.3: fit curves to scatter plots, using informal methods or appropriate technology, to determine the strength of the relationship between two data sets and to make predictions;

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

Zap It! Game

#### 3.4: draw conclusions about distributions of data based on analysis of statistical summaries (for example, the combination of mean and standard deviation, and differences between the mean and median);

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Polling: City

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

#### 3.5: use experimental and theoretical probability to represent and solve problems involving uncertainty (for example, the chance of playing professional sports if a student is a successful high school athlete); and

Binomial Probabilities

Geometric Probability

Independent and Dependent Events

Theoretical and Experimental Probability

#### 3.6: solve real-world problems with informal use of combinations and permutations (for example, determining the number of possible meals at a restaurant featuring a given number of side dishes).

Binomial Probabilities

Permutations and Combinations

### 4: Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.

#### 4.1: find and analyze relationships among geometric figures using transformations (for example, reflections, translations, rotations, dilations) in coordinate systems;

Dilations

Rotations, Reflections, and Translations

Similar Figures

Translations

#### 4.2: derive and use methods to measure perimeter, area, and volume of regular and irregular geometric figures;

Area of Parallelograms

Area of Triangles

Circumference and Area of Circles

Perimeter and Area of Rectangles

Prisms and Cylinders

Pyramids and Cones

#### 4.4: use trigonometric ratios in problem-solving situations (for example, finding the height of a building from a given point, if the distance to the building and the angle of elevation are known).

Sine, Cosine, and Tangent Ratios

### 5: Students use a variety of tools and techniques to measure, apply the results in problem-solving situations, and communicate the reasoning used in solving these problems.

#### 5.1: measure quantities indirectly using techniques of algebra, geometry, or trigonometry;

Perimeters and Areas of Similar Figures

Similar Figures

Sine, Cosine, and Tangent Ratios

#### 5.4: demonstrate the meanings of area under a curve and length of an arc.

Riemann Sum

### 6: Students link concepts and procedures as they develop and use computational techniques, including estimation, mental arithmetic, paper-and-pencil, calculators, and computers, in problem-solving situations and communicate the reasoning used in solving these problems.

#### 6.1: use ratios, proportions, and percents in problem-solving situations;

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

Part-to-part and Part-to-whole Ratios

Percent of Change

Real-Time Histogram

#### 6.3: describe the limitations of estimation, and assess the amount of error resulting from estimation within acceptable limits.

Polling: City

Correlation last revised: 1/20/2017