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### Estimated Completion Time

2 segments / 36 weeks

### Overview

Students who love interactive learning will enjoy M/J Mathematics 2. They experience intrigue and fun when they log in to this course. M/J Mathematics 2 is a hands-on course full of slideshows, applications, videos, and real-world scenarios.

The instruction in this course focuses on four critical areas: (1) developing an understanding of and applying proportional relationships; (2) developing an understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples.

Note: content varies depending on the course version. For currently enrolled students, please refer to the syllabus located in the course information area for curriculum specifics.

### Major Topics and Concepts

#### Segment 1

Module One

• The Number Line
• Adding and Subtracting Rational Numbers
• Multiplying Rational Numbers
• Strategies for Rational Numbers
• Irrational Numbers
• Approximating Rational Numbers

Module Two

• Dividing Rational Numbers
• Converting Rational Numbers
• Rational Numbers in the Real World
• Exponents
• Operations with Roots
• Scientific Notation
• Operations with Scientific Notation

Module Three

• Expanding and Simplifying Expressions
• Applications of Expressions
• Equations
• Inequalities
• Linear Equations
• Systems of Equations

Module Four Honors

• Unit Rates
• Characteristics of a Proportion
• Proportionality and Equations
• Application of Ratios
• Applications of Percents
• Graphing Proportional Relationships
• Slope-Intercept Form

#### Segment II

Module Five

• Scale Drawings
• Angles and Triangles
• Circles
• 3-D Figures and Cross Sections
• Transformations
• Congruency
• Transformations and the Coordinate Plane
• Transversals and Angles

Module Six

• Understanding Probability
• Approximating Probability
• Probability Models
• Data Observation
• Pythagorean Theorem
• Applications of the Pythagorean Theorem
• Pythagorean Theorem on the Coordinate Plane
• Formulas

Module Seven

• Representing Sample Spaces
• Understanding Compound Events
• Probability Simulations
• Introductions to Functions
• Understanding Linear Functions
• Applications of Functions
• Analyzing Functions

Module Eight

• Samples and Inferences
• Statistical Variability and Comparing Populations
• Applications of Statistics
• Scatterplots
• Line of Best Fit
• Interpreting Lines
• Frequency Tables

## Career

Meteorologist

Open

3-4 Weeks

### Competency

Students will demonstrate an understanding of rational numbers, including signed numbers, by applying properties of operations, converting rational numbers to decimal forms, and using all four operations to solve real-world and mathematical problems.

### Project

You are a Meteorologist working for the National Weather Service. You have been asked to gather weather data in a particular location to improve the understanding of the weather phenomena in that region.

## Career

Personal Driver

Open

3-4 Weeks

### Competency

Students will demonstrate an understanding of expressions and equations by using properties of operations to generate equivalent expressions and solving real-world problems using multistep equations and inequalities.

### Project

You are starting your own personal driving service. As a Personal Driver you know that you need to not only be reliable and on time for your customers, but also offer competitive pricing in this growing market. You will use your knowledge of equations and inequalities to generate pricing options, as well as determine how cost-effective you will be compared to your main competition.

## Career

Model Maker

Open

3-4 Weeks

### Competency

Students will demonstrate an understanding of proportional relationships by identifying the characteristics of a proportion, modeling proportional relations with equations, and using ratios, rates, and percents to solve real-world problems.

### Project

You are a Model Maker For your town’s founding anniversary, you have been commissioned to create two historic building models. You will use your knowledge of proportions, ratios, rates, and percents to not only provide scale measurements using accurate measurements of each building, but also to provide cost estimates for the materials needed to complete your work.

## Career

Package Engineer

Open

3-4 Weeks

### Competency

Students will demonstrate an understanding of scaled drawings, properties of triangles, cross sections of 3D figures, area, volume and surface area of polygons and circumference and area of circles by scaling images up and down, using knowledge of angles to determine the missing angles and the triangle’s uniqueness, and using appropriate formulas to find linear, 2D, and 3D measurements of objects in a variety of problems.

### Project

You are a package engineer at a toy making company. Your new project is to design packages that minimize waste when customers buy Pyraminx and Rubik’s Snake by following the shapes of the two toys.

## Career

Statistician

Open

3-4 Weeks

### Competency

Students will demonstrate an understanding of probability for both simple and compound events by calculating experimental and theoretical probabilities of events, creating sample spaces, and designing simulations to predict the likelihood of an event in real-world problems involving chance.

### Project

You are a Statistician working for a gaming consulting company. The lottery commission would like to introduce a new scratch game to increase its revenue. You need to put together a proposal of how to introduce the new game, then present it at the commission’s next monthly meeting.

## Career

Biostatistician

Open

3-4 Weeks

### Competency

Students will demonstrate an understanding of statistics by using random sampling to make inferences about a population and by using measures of center and variability to compare two populations in real-world problems.

### Project

You are a Biostatistician hired by an environmental company to compare annual rainfall and wildlife population growth in an area so that you can predict future population levels based on trends in weather data patterns. You will gather random sample data in various areas in the selected region in order to make inferences and predictions about the wildlife population.

### Competencies

• Rational Numbers
Students will demonstrate an understanding of rational numbers by explaining addition of rational numbers, explaining subtraction of rational numbers, describing multiplication rules, and solving problems using the properties of operations.
• Rational Number Applications
Students will demonstrate an understanding of rational number applications by describing division rules, solving problems using the properties of operations, converting rational numbers, and solving real-world problems involving rational numbers.
• Equations and Inequalities
Students will demonstrate an understanding of equations and inequalities by solving linear equations, describing equivalent expressions, and graphing real-world problems involving multi-step inequalities.
• Proportions
Students will demonstrate an understanding of proportions by describing proportions, explaining proportional relationship models, and solving problems involving rates, ratios, and percents.
• Geometry and Measurement
Students will demonstrate an understanding of geometry and measurement by explaining scale drawings, describing properties of triangles, solving problems involving circle formulas, solving problems involving volume and area, and describing cross-sections.
• Probability
Students will demonstrate an understanding of probability by describing probability value, explaining theoretical probability, and explaining experimental probability.
• Compound Events
Students will demonstrate an understanding of compound events by explaining sample space and predicting compound events.
• Statistics
Students will demonstrate an understanding of statistics by describing sampling, formulating inferences and predictions, explaining measure of center, and explaining variability.