Back to Learning Catalog

Status

Open

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

  • Adding and Subtracting Decimals
  • Multiplying Decimals
  • Division

 

RATIOS AND RATE REASONING

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

 

RATIONAL NUMBERS

  • GCF and LCM
  • Positive and Negative Numbers
  • The Number Line
  • Ordering of Numbers
  • The Absolute Value
  • Applying the Number Line Advanced
  • Adding and Subtracting Rational Numbers Advanced
  • Multiplying Rational Numbers Advanced
  • Dividing Rational Numbers 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 Quadrilaterals
  • 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
  • Properties of Operations Advanced
  • Rewriting Expressions Advanced

 

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
  • Applications with Ratios Advanced
  • Applications with Percentages Advanced

 

UNDERSTANDING DATA

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

 

 

Career

Tour Operator

Status

Open

Estimated Completion Time

3-4 weeks

Competency

Operations with Decimals: Students will demonstrate an understanding of decimals by performing operations of addition, subtraction, multiplication, and division with decimals, rounding decimals, in computational, and real-world situations.

Project

You are a Tour Operator hired by a client to plan a trip for a family of two or more to destinations all over the world. This can involve not only coordinating transportation by planes, trains, and automobiles, but also stops at landmarks, various cultural events, and activities to give your customers an exciting and hassle-free adventure. You will provide a detailed travel itinerary that includes the cost of each event converted to the destination country’s currency and a total of the expenses for each location so your travelers can budget and make informed decisions about the places they wish to visit.

Career

Small Business Owner

Status

Open

Estimated Completion Time

3-4 weeks

Competency

Ratios, Rates, and Percents: Students will demonstrate an understanding of ratio, rates, and percents by applying ratio reasoning to solve real-world problems.

Project

You are a Small Business Owner. You own a small retail store in your community. In order to be competitive and successful, you want to attract local shoppers to your store rather than lose business to larger retail chains at the mall outside of town. You will create a two-page advertising newspaper insert to feature your products, sale items, and specials for the week.

Once you choose the type of store and product line, you will research your competitors’ products to compare unit rates and cost ratios to help you price products. Then you will determine percent discounts to offer in your ad and still be profitable.

Career

Caterer

Status

Open

Estimated Completion Time

3-4 weeks

Competency

Rational Numbers: Students will demonstrate an understanding of rational numbers by simplifying fractions with LCM and GCF and writing, interpreting, and explaining statements of order in real-world contexts.

Project

You are a Caterer and need to provide your customers with food for a variety of occasions such as meetings, luncheons, and special occasions. These events can range from small functions for 10-20 people or large scale events for several hundred people. You need to provide your customers with great menu choices, as well as enough food to accommodate all their guests. This requires you to accurately adjust the measurements in your recipes to be sure you have the correct amount of ingredients to prepare the items you will serve.

Career

Park Ranger

Status

Open

Estimated Completion Time

3-4 weeks

Competency

Coordinate Plane: Students will demonstrate an understanding of the coordinate plane by identifying and positioning coordinate pairs on a coordinate plane to solve real-world application problems.

Project

You are a Park Ranger working for a large national park. You are not only responsible for protecting and supervising designated outdoor areas, but also assisting visitors by pointing out areas of interest and off-limit areas, giving tours, and providing maps. Your task is to create a user-friendly guide for a national park that you invent. Your guide will include various fictitious landmarks, picnic areas, ponds, swimming spots, conservation areas, ranger stations, etc., that you label with directions and distance markers in the four quadrants on a coordinate plane.

Career

Residential Painter

Status

Open

Estimated Completion Time

3-4 weeks

Competency

Geometry and Measurement: Students will demonstrate an understanding of area and surface area of geometric figures by solving problems using the area of polygons and surface areas of prisms and pyramids.

Project

You are a self-employed Residential Painter. A potential customer asked you to help determine the amount of paint they will need for the interior of their family home and the exterior of another structure they plan to build. Your job is to provide this potential customer with accurate calculations for the surface area of their buildings so they can make an informed choice on how to budget their painting needs.

Career

Nutritionist

Status

Open

Estimated Completion Time

3-4 weeks

Competency

Variables and Algebraic Expressions: Students will demonstrate an understanding of algebraic expressions by writing, evaluating, and simplifying expressions in computational and real-world situations.

Project

You are a Nutritionist employed by a local hospital. You are responsible for helping patients lead healthier lives by designing meal plans that fit their medical and lifestyle needs. A physician referred three patients to you with different requirements. You will use what you know about writing, evaluating, and simplifying algebraic expressions to create individual weekly menus with both calorie and point calculations (based on the Weight Watchers program) for each of these patients.

Career

Party Planner

Status

Open

Estimated Completion Time

3-4 weeks

Competency

Equations and Inequalities: Students will demonstrate an understanding of linear equations and inequalities by solving one step problems using all four operations in real-world situations.

Project

You are a Party Planner responsible for every aspect of your clients’ events including ordering food, sending invitations, purchasing decorations, hiring entertainment, and finding a suitable venue based on the amount of money they wish to spend. (Sometimes an outdoor event may require you to plan for the possibility of rain with a tent and cathedral sidewalls on standby. So you need to be prepared for last minute changes like this and others!)

Your newest client hired you to organize and help them organize what type of party would best suit their budget. You will use your knowledge of equations and inequalities to create supplies and price checklist that maximizes what your client can have at their special event without breaking the budget. Once your client agrees on this list, you can plan the party!

Career

Sports Analyst

Status

Open

Estimated Completion Time

3-4 weeks

Competency

Analyzing and Representing Data: Students will demonstrate an understanding of analyzing, representing, and interpreting data by calculating measures of central tendency and collecting data to interpret and represent in a variety of graphs.

Project

You are a Sports Analyst that works for a major TV network. Your task is to provide a presentation that compares two professional athletes’ performance using statistical analysis. The network’s sports talk show will feature your presentation’s analysis in an upcoming broadcast.

As a Sports Analyst, your job is to help the public interpret what the statistics tell about a player by exploring data and then extracting meaningful insights to better understand an athlete’s abilities. You will use statistics to provide the full picture of a player’s performance that we cannot see just by watching videos and attending games. Therefore, you will present your data and comparisons both graphically and statistically to best help the viewers of the network’s sports talk show understand your analysis.

Credits 1

Competencies

  • Decimals
    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.
  • Ratios, Rates, and Percents
    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.
  • 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 the area of polygons, describing surface area, 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.

Pre-Requisites

Recommended for 6th grade.

Honors

Course: To take the Advanced version, please select the course from the"Advance/Honors/AP" drop down during registration.

Project/Experience: Honors is awarded by earning "Exceeds" on all rubric assessments.

Attend a virtual open house

We offer regular online open house webinars where VLACS staff members provide parents and students with an overview of our programs and answer questions about online learning.