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### Estimated Completion Time

2 segments / 36 weeks

### Overview

Middle School Grade 6 Mathematics is designed to engage students at every turn. Students have opportunities to demonstrate their knowledge of number manipulation by applying it to real-world scenarios. The course is packed with engaging activities that reinforce and let students practice the skills they learn throughout the course. Interactive learning and innovative videos keep the students engaged throughout.

The instruction in this course focuses on four critical areas: (1) connecting ratio and rate to whole number multiplication and division, and using concepts of ratio and rate to solve problems; (2) completing an understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing an understanding of statistical thinking. The instruction in the advanced course focuses on two extra critical areas: (1) developing understanding of and applying proportional relationships; and (2) developing understanding of operations with rational numbers and working with expressions and linear equations.

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

DECIMALS AND FRACTIONS

• Multiplying Decimals
• Division

RATIOS AND RATE REASONING

• Understanding a Ratio
• The Unit Rate
• Equivalent Ratios
• Percentages
• Measurements
• Unit Conversions

RATIONAL NUMBERS

• GCF and LCM
• Positive and Negative Numbers
• The Number Line
• Ordering of Numbers
• The Absolute Value
• Applying the Number Line Advanced

THE COORDINATE PLANE

• Ordered Pairs
• Plotting on the Coordinate Plane
• Ratios and the Coordinate Plane
• Applications with Coordinates
• Characteristics of a Proportion Advanced

#### Segment 2

AREA

• Area of Triangles
• Area of Polygons
• Shapes on the Coordinate Plane
• Surface Area of Prisms
• Surface Area of Pyramids

EXPRESSIONS

• Numerical Expressions
• Algebraic Expressions
• Parts of an Expression
• Evaluating Algebraic Expressions
• Algebraic Properties
• Equivalent Expressions

EQUATIONS

• Solutions to Equations and Inequalities
• Applications with Expressions
• Solving Equations I
• Solving Equations II
• Inequalities
• Dependent and Independent Variables
• Analyzing Relationships
• Equations for Proportional Relationships Advanced

UNDERSTANDING DATA

• Statistical Questioning
• Measurements of Data
• Dot Plots and Histograms
• Box Plots
• Summarizing Data
• Data with Outliers

## Career

Tour Operator

Open

3-4 weeks

### Competency

Students will demonstrate an understanding of decimals by solving problems involving addition and subtraction of decimals, solving problems involving multiplication and division of decimals, and explaining place value location and rounding decimals.

### Project

You are a tour operator at a travel organization. You are planning a trip across a continent for a family! You will plan stops at landmarks, various cultural events that are exciting and hassle-free. You will provide a detailed travel itinerary that includes total expenses for each destination, including flights and accommodations. This will allow travelers to decide a budget for the places they wish to visit. Your travel itinerary will show currency conversions of each destination.

## Career

Open

3-4 weeks

### Competency

Students will demonstrate an understanding of ratios, rate and percents by describing ratios and rates, solving problems involving ratios, solving problems involving rates, and solving problems involving percentages.

### Project

You are a small business owner of a small retail store in your community. You are creating a two-page advertising flyer to insert in the local newspaper. The sales flyer will feature your products, sale items, and specials for the week. You need to be competitive in your pricing so that you don’t go out of business. To have competitive pricing, you will research competitor pricing to compare unit rates and ratios of cost comparisons. You will also need to determine your percent discounts you can offer and still be profitable.

## Career

Caterer

Open

3-4 weeks

### Competency

Students will demonstrate an understanding of rational numbers by describing factorization, simplifying fractions with LCM and GCF, and explaining statements of order in real-world contexts.

### Project

You are a caterer. You need to provide your customers with food for different events such as meetings or special occasions. These events can range from small functions for 10-20 people to large events for several hundred people. You need to provide your customers with a great menu choice. You also need to have enough food to accommodate all their guests. This requires you to accurately adjust the measurements in your recipes to make sure you have the correct amount of ingredients to prepare the items you will serve. You will reflect all the changes in the final adjusted recipes.

## Career

Park Ranger

Open

3-4 weeks

### Competency

Students will demonstrate an understanding of coordinate plane fundamentals by describing elements of the coordinate plane, explaining coordinate pairs, and solving real-world problems involving the coordinate plane.

### Project

You are a park ranger at a national park. You are responsible for protecting designated outdoor areas. You show visitors how to find their way around the park. There are trails, ponds, and off-limit areas. You have been assigned to create a park map. The map will be based on a coordinate grid quadrant format with labeled places to stop and directions and distance markers.

## Career

Residential Painter

Open

3-4 weeks

### Competency

Students will demonstrate an understanding of area by describing polygons, explaining the area of polygons, describing surface area, and solving real-world problems involving area.

### Project

You are a self-employed residential painter. A customer has asked you to provide a proposal for the amount of paint needed for their family home. Your job is to provide the customer with accurate calculations for the surface area of the home. The purpose of your proposal is to give accurate and complete information to the customer, so that they can make an informed choice on how to proceed with their project.

## Career

Nutritionist

Open

3-4 weeks

### Competency

Students will demonstrate an understanding of the fundamentals of algebraic expressions by describing algebraic expressions, explaining algebraic properties, and solving algebraic expressions involved in real-world situations.

### Project

You are a nutritionist at a local hospital. You help patients lead healthier lives by designing meal plans that fit their medical and lifestyle needs. You are helping three patients with different requirements. You will use what you know about writing, evaluating, and simplifying algebraic expressions to create individual weekly menus. The menu will include both calorie and point calculations for each of these patients.

## Career

Event Planner

Open

3-4 weeks

### Competency

Students will demonstrate an understanding of linear equations and inequalities by explaining the process of solving linear equations, explaining the process of solving inequalities, and solving problems involving linear equations and inequalities.

### Project

You are an Event Planner. You are responsible for every aspect of your clients’ events. This includes ordering food, sending invitations, purchasing decorations, hiring entertainment, and finding a suitable venue. Your newest client hired you to help them determine what type of party would best suit their budget. You will use your knowledge of equations and inequalities to create a supplies and price list that maximizes the budget.

## Career

Sports Analyst

Open

3-4 weeks

### Competency

Students will demonstrate an understanding of data measurement, analysis and graphing by formulating a statistical question, explaining data measurement, and summarizing statistical data.

### Project

You are a sports analyst working for a TV network. Your task is to provide a presentation that compares the performances of two professional athletes. You will use statistical analysis to compare the two performances. The network’s sports talk show will feature your presentation’s analysis in an upcoming broadcast.

### Competencies

• Decimals
Students will demonstrate an understanding of decimals by solving problems involving addition, subtraction, multiplication, and division of decimals and explaining place value location and rounding of decimals.
• Ratios, Rates, and Percents
Students will demonstrate an understanding of ratios, rates, and percentages by describing ratios and rates and solving problems involving ratios, rates, and percentages.
• Rational Numbers
Students will demonstrate an understanding of rational numbers by describing factorization, simplifying fractions with LCM and GCF, and explaining statements of order in real-world contexts.
• Coordinate Plane Fundamentals
Students will demonstrate an understanding of coordinate plane fundamentals by describing elements of the coordinate plane, explaining coordinate pairs, and solving real-world problems involving the coordinate plane.
• Area
Students will demonstrate an understanding of area by describing polygons, explaining how to find the area of polygons and surface area of solids, and solving real-world problems involving area.
• Fundamentals of Algebraic Expressions
Students will demonstrate an understanding of the fundamentals of algebraic expressions by describing algebraic expressions, explaining algebraic properties, and solving algebraic expressions involved in real-world situations.
• Linear Equations and Inequalities
Students will demonstrate an understanding of linear equations and inequalities by explaining the process of solving linear equations, explaining the process of solving inequalities, and solving problems involving linear equations and inequalities.
• Data Measurement, Analysis and Graphing
Students will demonstrate an understanding of data measurement, analysis and graphing by formulating a statistical question, explaining data measurement, and summarizing statistical data.