### 2: Patterns and Relations

#### 2.A: Variables and Equations

2.A.1: Use linear programming to solve optimization problems.

2.A.1.1: Solve, graphically, systems of linear inequalities, in two variables, using technology.

Systems of Linear Inequalities (Slope-intercept form)

2.A.1.2: Design and solve linear and nonlinear systems, in two variables, to model problem situations.

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

2.A.1.3: Apply linear programming to find optimal solutions to decision-making problems.

Linear Programming

### 3: Shape and Space

#### 3.A: Measurement

3.A.2: Demonstrate an understanding of scale factors, and their interrelationship with the dimensions of similar shapes and objects.

3.A.2.1: Enlarge or reduce a dimensioned object, according to a specified scale.

Dilations

3.A.3: Use measuring devices to make estimates and to perform calculations in solving problems.

3.A.3.2: Design an appropriate measuring process or device to solve a problem.

Estimating Population Size

#### 3.B: 3-D Objects and 2-D Shapes

3.B.1.1: Develop and apply the geometric properties of circles and polygons to solve problems.

Chords and Arcs

Circles

Inscribed Angles

### 4: Statistics and Probability

#### 4.A: Data Analysis

4.A.1: Apply line-fitting and correlation techniques to analyze experimental results.

4.A.1.1: Determine the equation of a line of best fit, using:

4.A.1.1.b: median?median method

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

4.A.1.1.c: least squares method with technology.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

4.A.1.2: Use technological devices to determine the correlation coefficient r.

Correlation

4.A.1.3: Interpret the correlation coefficient r and its limitations for varying problem situations, using relevant scatterplots.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

4.A.2: Analyze graphs or charts of given situations to derive specific information.

4.A.2.1: Extract information from given graphs of discrete or continuous data, using:

4.A.2.1.b: glyphs (custom pictorial representations)

Forest Ecosystem

4.A.2.1.d: contour lines.

Trends in Scatter Plots

4.A.2.3: Design different ways of presenting data and analyzing results, by focusing on the truthful display of data and the clarity of presentation.

Box-and-Whisker Plots

Correlation

Polling: City

Real-Time Histogram

Stem-and-Leaf Plots

Correlation last revised: 9/16/2020