Guide to RM City

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Reasoning Mind Guide to RM City This guide provides Reasoning Mind parents and students with the information they need to get the most out of their experience with RM City. If this guide does not answer your questions, please contact Individual Enrollment at [email protected]. If your child uses RM in school, please contact your child’s teacher.

Meet the Genie, the face of the artificial intelligence component of Reasoning Mind. The Genie guides students as they work in RM – it is a mentor, instructor, and friend. The Genie helps explain concepts during theory and provides step-by-step solutions to problems. When students solve problems correctly, the Genie praises them; when they get things wrong, the Genie offers encouragement. The Genie has three simple rules for RM students to follow: 1. Read and understand the theory. 2. When you get a problem wrong, read and understand the Genie's solution. 3. Understand and remember your notes (we encourage you to provide your child with a notebook for note-taking and problem solving). Following and internalizing these rules will keep students focused and trying their best to understand the materials presented to them. The rules will also remind students to use the resources available to them in the RM system, encouraging more independent learning.

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Contents Getting Started: Logging In ...................................................................................................................... 4

RM City “Start” page: ........................................................................................................................... 4

The Login Page .................................................................................................................................... 5

Student Interface .................................................................................................................................... 6

RM City Map ........................................................................................................................................ 6

Guided Study ....................................................................................................................................... 8

Problem Screens .................................................................................................................................. 9

Objective Indicator Map .................................................................................................................... 11

Elements of Guided Study ..................................................................................................................... 12

Theory ............................................................................................................................................... 12

Sound in Theory ................................................................................................................................ 12

Exercises............................................................................................................................................ 12

Theory Notes ..................................................................................................................................... 12

Notes Test ......................................................................................................................................... 13

Speed Games ..................................................................................................................................... 13

Problems ........................................................................................................................................... 14

Assessment Screen ............................................................................................................................ 16

Other Buildings in RM City ..................................................................................................................... 17

Wall of Mastery ................................................................................................................................. 17

Library and Glossary .......................................................................................................................... 19

Post Office ......................................................................................................................................... 20

Office Building ................................................................................................................................... 21

Genie’s House.................................................................................................................................... 22

Game Room....................................................................................................................................... 23

Shopping Mall.................................................................................................................................... 24

My Place ............................................................................................................................................ 25

Tracking Student Progress ..................................................................................................................... 26

My Place ............................................................................................................................................ 26

Wall of Mastery ................................................................................................................................. 26

Emailed Math Progress Report .......................................................................................................... 26

Hardware and Software Requirements .................................................................................................. 28

Submitting Bugs .................................................................................................................................... 29

Curriculum Objective Lists ..................................................................................................................... 30

Basic I-1 ............................................................................................................................................. 30

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Basic I-2 ............................................................................................................................................. 32

Basic I-3 ............................................................................................................................................. 33

Basic II ............................................................................................................................................... 35

Basic III .............................................................................................................................................. 37

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Getting Started: Logging In Please see page 30 for technical requirements before logging in for the first time. To access the Reasoning Mind system, open your web browser (Internet Explorer 7 or higher or Firefox) and navigate to www.rmcity.org. NOTE: RM City is not currently supported for the iPad.

RM City “Start” page:

Clicking Start will open the login screen in a new browser window: Note: Pop-ups must be enabled for www.rmcity.org to run the program.

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The Login Page

Type your login name into the top field and your password into the bottom field, and then click the button to log in. Note: Logins and passwords should be entered exactly as given to you. Do not use spaces if none appear in the login.

Example: “genie1” should not be entered as “genie 1”

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Student Interface In the student interface, students learn new material, solve problems, and earn virtual prizes for their efforts. The first time a student logs in each day, the Genie says, “Hello.” Click on “Hello, Genie!” to continue.

RM City Map

Take some time to familiarize yourself with the buildings in the student interface.

Guided Study (GS) is where students learn math concepts and solve problems. Students spend the

majority of their time in Reasoning Mind in GS.

The Wall of Mastery provides a list of the objectives a student will study in the RM curriculum and allows students to review objectives they have completed.

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The Post Office (labeled simply “Mail Box” on the map) is where students can email the Genie and

their teacher (if there is a teacher assigned to their account). It displays a red flag when a student

has an unread message.

The Office Building is where students complete assignments. It will display a red flag when an

assignment requires the student’s attention.

The Genie’s House (labeled simply “G” on the map) contains several features and games for

students to explore.

The Points Panel shows the student’s streak (the number of problems the student has solved

correctly in a row) and the number of points the student has earned today.

The Game Room houses a number of math games for students to play.

The Library is home to math textbooks, conversion tables, a glossary, and more.

The Shopping Mall is where students can spend their points on virtual prizes.

My Place is where students monitor their progress and where they keep the prizes they have

purchased from the Shopping Mall.

The Homework House is where students who are using RM at school turn in homework

assignments.

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Guided Study Guided Study (GS) is where students learn math concepts and solve problems. Students spend the majority of their time in Reasoning Mind in GS. Click on the Guided Study building to begin learning math!

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Problem Screens When a student is on a problem screen, he or she will see a label with the problem’s difficulty level (A, B, or C).

Objective Title – The title of the current objective is written at the top of the screen. Navigation Buttons: “Submit” or “Play” – Clicking the green “submit” button submits the student’s answer. This button becomes a “play” button when it is time to move on to the next screen.

The Progress Bar – Displays the current block of Guided Study (Theory, Problem A, Notes Test, etc.) and measures student progress within that block.

Objective Title

X-Lever

Navigation Buttons Progress Bar Points Panel

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The X-lever – Clicking this lever closes GS and returns the student to the home screen. If clicked on from the home screen, this lever logs the student out of RM City. Points Panel – If the student answered the problem correctly, the number of points earned will be added to the student's “Points Today.” In addition, “Streak” will increase by one. If the problem was solved incorrectly, “Streak” will reset to 0. Additionally, a “coin” will appear on the Points Panel with the point value of the current problem.

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Objective Indicator Map

This map is displayed each time the student fills the progress bar and shows the student his or her path through Guided Study. In the example below, the student is notified that he is about to begin the B-level problem block and has already completed the following:

Two chapters of Theory, represented by the two-level parking garage;

The Notes Test, represented by the circular track;

The A-level problem block, represented by the bridge.

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Elements of Guided Study

Theory Theory material is where students learn mathematical concepts through animations and exercises. Genie Rule # 1: Read and understand the theory.

Sound in Theory For students who may struggle with reading, sound in theory is available. When a screen is available with audio, the blue navigation button is split. One part is orange with a white speaker, while the other part is the usual blue “play” button used for navigation. The student may click the orange audio button to hear the text on the screen read aloud. The student can also replay the audio for the page by clicking the button again. The text will appear first, giving the student a chance to read it before hearing the audio. If a student does not want to hear the audio, clicking on the blue button advances the student to the next screen.

Exercises Genie Rule # 1: Read and understand the theory. Exercises are used in theory to test a student’s comprehension of what is taught. Exercises ensure active participation in the learning process. Students do not earn points for correct answers in exercises, and answers to exercises do not affect the student’s streak.

Theory Notes Genie Rule # 3: Understand and remember your notes. RM recommends providing all students with a notebook in which they will take notes on theory and perform calculations. Throughout the theory material, students will be prompted to take notes. In Basic I, the prompt is a “write this down” tag:

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In Basic II and Basic III students will also be prompted to write things down by the following:

Notes Test Genie Rule # 3: Understand and remember your notes. At the end of the theory material for an objective, Basic I students are given a Notes Test. This reinforces student note-taking and reviews the key concepts before students move to the problem block.

Speed Games Speed games drill students on basic math facts that relate to each objective. They appear in warm-up blocks and some theory blocks. Students race against a speed meter to solve mental math problems. Students can earn many points in speed games but are reminded not to use paper or their fingers when solving problems!

1. Students pick the game they want to play 2. Students pick the speed at which they want to play the game 3. At the end of each round, student performance is summarized along with the number of points

awarded

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Problems In the RM system, problems are used both for instruction and assessment. Students should solve problems in their notebooks before entering their answers in RM City.

Problem Statement – The problem statement always appears at the top of the screen. If the problem statement is long, a scroll bar will appear on the right of the screen. Answer Field – This is the space where students enter their final answers. Depending on the type of problem, students may need to type, select an answer choice, or use drag/drop and/or point/click to enter their answers. Library Buttons – Students can use these buttons to access the RM City Library from GS. Clicking the question mark button takes the student to the How To book. Clicking the book button takes the student to the library and opens the Math Textbook to the chapter corresponding to the student’s current objective. All theory material for an objective can be reviewed in the Math Textbook. Submit Button – Clicking this button submits the answer that the student typed into the answer field. Submitting an answer is the only way to progress to the next screen, and students cannot go back to previous theory screens while solving problems. (However, they can review theory by going to the Math Textbook.)

Problem Statement

Answer Field

Hint Button

Library Buttons

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Hint Button – Clicking this button will give the student a hint on how to solve the problem. Hints remind students of definitions and properties or give tips about the first steps needed to solve the problem. To avoid a reliance on hints, using the hint button lowers the number of points earned for correctly solving the problem.

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Assessment Screen Students are told whether the answer they submitted was correct or incorrect:

After submitting an answer, the student receives immediate feedback and a full solution. Genie Rule #2: When you get a problem wrong, read and understand the Genie's solution.

Genie's Solution – Whether they solved the problem correctly or incorrectly, students are always shown a full solution, which provides a step-by-step explanation of how to solve the problem. Points Panel – If the student answered the problem correctly, the number of points earned for it will be added to the student’s “Points Today.” In addition, the student’s “Streak” will increase by one. If the problem was solved incorrectly, “Streak” will reset to 0. Problem Tab – Clicking this tab shows the problem statement and answer entered. Students can tab back and forth between their answer and the Genie’s Solution.

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Other Buildings in RM City

Wall of Mastery The Wall of Mastery provides a list of the objectives a student will study in the RM curriculum and allows students to review objectives.

In the Wall of Mastery, students can practice A-, B-, and C-Level problems in objectives they’ve already completed. Each block in the Wall of Mastery will be available once in a 24-hour period. For example, a student who completes the B-Level problem block for Numbers and Operations Basics on Tuesday will not be able to access that block again until Wednesday. The student will be able to access other problem blocks on Tuesday, however.

Objectives – List of objectives in the curriculum and the order in which they are presented to the student. A-Level Problems – reflect a student’s fundamental understanding of the material. B-Level Problems – reflect a student’s ability to build on their fundamental understanding of mathematics. B-Level problems challenge students to solve multiple steps that incorporate several topics. C-Level Problems – reflect a student’s higher order thinking skills and ability to build on their fundamental understanding to solve conceptually advanced problems.

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Indicates a student has mastered this level. A student can review these problems but will not earn points for doing so.

Indicates a student has not yet mastered the level and will earn points for answering problems correctly.

Indicates a student cannot review this material, either because s/he has not yet reached this objective or because s/he has not completed the previous level of problems within the objective. Once the student masters the previous level of problems, this button will change to the button with the green arrow (above).

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Library and Glossary The RM City Library and Glossary make it easy for students to find available resources and look up new words. Students can also access glossary entries by clicking on underlined words in Theory and Problem blocks in Guided Study.

Glossary – The glossary gives definitions and explanations of math terms and properties used in the RM curriculum. How To – The How To book gives animated demonstrations of how to perform various functions on the computer and in RM, such as how to type inequality signs and use the ruler tool. Multiplication – This book includes multiplication tables for the numbers 1-10. Conversion Tables – This book includes tables for converting within and between the metric and customary systems. Math Textbook – The Math Textbook includes the Theory sections from every objective in the RM curriculum. All theory material for an objective can be reviewed in the Math Textbook.

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Post Office In the Post Office, students can email the Genie and the Genie will write back to them! Students using RM in school can also send emails to, and receive emails from, their teacher and principal. Individually enrolled students will typically only have a teacher assigned if they are part of a homeschool or other similar group

Clicking on the “Genie Stamp” opens up a blank e-mail to the Genie

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Office Building Student assignments are completed in the Office Building in RM City. Students will receive a notification screen indicating when they should go to the Office to complete an assignment such as Review Mode or a Quiz. A red flag on top of the Office Building also indicates new assignments. The To-Do list will show the student what he or she should complete first (if there are multiple assignments) according to the priority set by the teacher. Note: For individually enrolled students, this building is not activated.

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Genie’s House Here, students will find a variety of interactive features and the following games:

Feed Proof: Students must remember and locate pairs of objects in this memory challenge.

Photo Frenzy: Students race against the clock to find and click the specified number of objects.

Pop the Bubbles: This game targets motor skills and hand-eye coordination by having students “pop” as many bubbles as possible in a specified time.

Spotter: These spot-the-differences puzzles challenge students to compare images and build visual discrimination skills.

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Game Room In the Game Room, students can chose to play different games that will exercise their math knowledge and skills.

Math Race – In Math Race, two students in the same class race against each other by quickly solving simple problems. This feature will not work for Individual Enrollments with only one child in a family enrolled. Multiplication and Division Games – The Multiplication and Division Games use a variety of games to test students on their multiplication and division facts. Riddle Machine – The Riddle Machine gives students challenging puzzles that require them to “think outside the box.” Dino Island – Dino Island is a game that gives 6th graders practice working with ratios.

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Shopping Mall Students go to the Shopping Mall to spend the points they earn on books, movies, and many other virtual prizes.

Points spent/Points left to spend – These counters keep track of how many points the student has already spent in the Shopping Mall and how many can still be spent. Great Hall Prizes – The Great Hall Prizes store sells virtual rewards that can be kept in the Great Hall within My Place. Bookstore – The Bookstore sells storybooks that students can read in the Personal Library within My Place. Moviebox – Moviebox sells animated movies that students can watch in their My Place Personal Library.

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My Place My Place is where students keep their storybooks, movies, and prizes AND where they can see their progress.

Library – Storybooks and movies the student purchases at the Bookstore and Moviebox are kept here. Great Hall – Prizes the student purchases at Great Hall Prizes are kept here. Progress Bar – Here students can see their accuracy for the day, their accuracy over a two-week period, their highest streak, and the total number of points they have earned since starting the program. They can also see their progress through the curriculum, marked by the racecar. As the student advances through the curriculum, the car advances along the track towards the finish line. If you notice that your student is approaching the finish line, please contact us so that we can extend the curriculum. For example, a student approaching the end of the Basic I-2 curriculum would have their curriculum extended to the end of Basic I-3.

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Tracking Student Progress To see how far your student has progressed through the curriculum or how well he or she is doing on problems, RM provides the following tools:

My Place

(see above)

Wall of Mastery As a parent, you can track student progress using the Wall of Mastery, which allows you to see which objectives your child has completed and whether he or she has mastered A-level Problems, B-level problems, and C-level problems. If your child has completed A-level problems for a given objective but not B- or C-level problems, encourage him/her to go to the Wall of Mastery to answer these types of problems. The following button indicates available problems for which the student can earn points:

Emailed Math Progress Report If you have an individual enrollment for your child, this report is sent to you weekly. If you would prefer to receive the report every other week or monthly, please contact [email protected]. If your child uses RM in school, please speak to your child’s teacher for information about his or her progress in RM. Note: The math progress report shows accuracy on A-level problems only, whereas the “My Progress” page shows average accuracy across A-, B-, and C-level problems.

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Hardware and Software Requirements

HARDWARE (Windows-based PC or Macintosh): • Pentium 4 processor at 1.3 Ghz or processor with similar processing power • 256 Mb RAM • Screen resolution of 1024 x 768 • 10 Mb/s NIC SOFTWARE: Windows computers: • Windows XP SP2 or higher version • MS Internet Explorer 7 or higher version • Adobe Flash Player 10 Macintosh computers: • OSX 10.x or higher • Safari 2.0 or higher version, or • Mozilla Firefox 3.0 or higher version • Adobe Flash Player 10 A note on browsers: We recommend using IE 7 (or higher), Safari, or Firefox. Google Chrome is not currently configured to work well with RM.

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Submitting Bugs Your student occasionally may come across bugs while working through the system. While everything in Reasoning Mind is rigorously tested, sometimes a typo may slip through. Other times, there is a more serious issue—the Genie may be marking a correct answer as incorrect or a student may not be able to proceed because the arrow does not light up. If your student does become “stuck” and is unable to move forward, before reporting the issue as a bug, please do the following:

1. Make sure the browser used is Internet Explorer 7 or Firefox. Chrome, for example, does not work with RM City.

2. Clear the browser’s cache and restart your computer. 3. If the above does not solve the issue, please report it as a bug (see below)

If you discover a bug, email Individual Enrollment ([email protected]) as soon as possible with the following information: 1. Date the bug was found 2. Time the bug occurred, down to the minute if possible 3. Login name of the user affected by the bug. 4. Description of the problem and a screenshot (Fn + F11 on a PC) if applicable 5. UID of the screen that contains the bug. This piece of information is crucial as it allows the programmers to identify the location of the bug.

To find the UID for a Guided Study screen, move your mouse over the objective title at the top of the GS window and let it hover. A bubble will pop up: the UID will look something like this: MT-ELM-MeasMassKg10-u3-RM_6.

UID for this problem

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Curriculum Objective Lists

Basic I-1

REASONING MIND

BASIC I-1 Recommended for 2nd Graders

OBJECTIVE NAME Obj. Hours *

Total Hours *

1 Numbers and Operations Basics 2.5 2.5 2 Composition of the Numbers from 2 to 7 1.5 4 3 Points, Curves, and Lines 1 5 4 Line Segments 1 6 5 Composition of the Numbers 8 and 9 1 7 6 Segment Chains 1 8 7 Word Problems Solved by Addition 2.5 10.5 8 Word Problems Solved by Subtraction 2.5 13 9 Numerical Expressions 1.5 14.5

10 Capacity and its Customary Units 1.5 16 11 The Liter – a Metric Unit of Capacity 1.1 17.1 12 Weight; Customary Units of Weight 2.5 19.6 13 The Kilogram – a Metric Unit of Mass 1.6 21.2 14 Equations 1.8 23 15 The Second Ten: The Numbers from 11 to 20 2.5 25.5 16 Composition of the Number 10 1 26.5 17 Mental Addition and Subtraction within Twenty 3.5 30 18 More Than and Less Than 2 32 19 “More Than” and “Less Than” Word Problems 2.5 34.5 20 Numerical Expressions with Parentheses 2 36.5 21 Comparing Numbers Using Subtraction 1.5 38 22 How Many More, How Many Fewer 2.5 40.5 23 Expressions with Letters 1.5 42 24 Triangles, Quadrilaterals, and Perimeter 3 45 25 Review: One-Step Word Problems 2 47 26 Problems with Two Questions 3 50 27 Step-by-Step Solutions for Two-Step Problems 3 53 28 Two-Digit Numbers 3.5 56.5 29 Comparing Numbers up to 100 2.5 59 30 Adding and Subtracting with Round Numbers 2.5 61.5 31 Addition and Subtraction of Round Numbers 2 63.5 32 Adding and Subtracting a One-Digit Number 2 65.5

33 Mental Addition and Subtraction of a Two-Digit Number and a Round Number

2.5 68

34 Adding to Get a Round Number 3 71

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35 Adding and Subtracting One-Digit Numbers when Crossing Over a Ten

3 74

36 Column Addition Basics 2 76 37 Column Subtraction Basics 2 78

* Objective Hours listed are averages only. Some students may take more or less time.

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Basic I-2

REASONING MIND

BASIC I-2 Recommended for 3rd Graders

OBJECTIVE NAME Obj. Hours *

Total Hours *

1 Figures and Their Names 3.5 3.5 2 Ray up to 100 1.5 5 3 Angles: Right Angles 2.5 7.5 4 Equations up to 100 2.5 10 5 Measuring Weight up to 100 3.5 13.5 6 Mass in Kilograms up to 100 2 15.5 7 Rectangles and Squares; Perimeters up to 100 3 18.5 8 Customary Units of Capacity and Operations 2.5 21 9 Operations with Capacities: The Liter 2 23

10 Multiplication Basics 2.5 25.5 11 Division Basics 1.5 27 12 Multiplying and Dividing by 2 3 30 13 Multiplying and Dividing by 3 2.5 32.5 14 Multiplying and Dividing by 4 3 35.5 15 Order of Operations: Multiplication and Division 2 37.5 16 Multiplying and Dividing by 5 3 40.5 17 Expressions with Letters, × and ÷ 2.5 43 18 Equations with Multiplication and Division 1.5 44.5 19 Perimeter of a Square: Formula 2 46.5 20 Multiplying and Dividing by 6 3.5 50 21 Multiplication Word Problems 2 52 22 Division Word Problems 2 54 23 Area Basics 3.2 57.2 24 Multiplying and Dividing by 7 3 60.2 25 Multiplying and Dividing by 8 3 63.2 26 Finding a Number Several Times More/Less 2.2 65.4 27 Times More/Less Than Word Problems 2.1 67.5 28 Numerical Expressions with All Operations 2.5 70 29 Multiplying and Dividing by 9 3.5 73.5 30 Comparing Numbers Using Division 2 75.5 31 Word Problems on Comparing Using Division 2 77.5 32 Expressions with Two Letters 1.5 79 33 Area and Perimeter of Rectangles 1.5 80.5 34 Multiplication Properties of 1 and 0 1 81.5 35 The Multiplication and Division Table 1.5 83 36 Multiplication within 100 Beyond the Table 1.5 84.5

* Objective Hours listed are averages only. Some students may take more or less time.

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Basic I-3

REASONING MIND

BASIC I-3 Recommended for 4th Graders

OBJECTIVE NAME Obj. Hours *

Total Hours *

1 Numbers up to 1,000: Places and Reading 2 2 2 Writing Numbers and Counting within 1,000 2 4 3 Comparing Numbers up to 1,000 2.5 6.5 4 “Times More Than” and "More Than" 2.5 9

5 “Times More/Less Than” and "More/Less Than" Word Problems 3 12

6 Addition and Subtraction: Checking One Operation with the Other 3 15

7 Column Addition of Numbers Under 1,000: Part 1 2 17 8 Column Addition of Numbers Under 1,000: Part 2 2 19 9 Column Subtraction within 1,000: No Borrow 3 22

10 Column Subtraction within 1,000: Borrowing Once 3 25 11 Expressions for Solving Word Problems: Part 1 3.5 28.5 12 Column Subtraction within 1,000: No Tens 2.5 31 13 Column Subtraction within 1,000: Borrowing Twice 1.5 32.5 14 Column Addition within 1000: Three Summands 3 35.5 15 Expressions for Solving Word Problems: Part 2 2 37.5 16 Equations with an Unknown Summand 2.3 39.8 17 Equations with an Unknown Minuend 2.4 42.2 18 Division with a Remainder 4.3 46.5 19 Multiplying and Dividing by 10 and 100 2 48.5 20 Multiplication and Division are Related 1 49.5

21 Order of Operations in Expressions without Parentheses 1.5 51

22 Review: Word Problems with Two Questions 2 53 23 Order of Operations in Expressions with Parentheses 2 55

24 Multiplying a Two-Digit Number by a One-Digit Number 1.5 56.5

25 Step by Step Solutions to Word Problems 2.5 59

26 Column Multiplication of a Three-Digit Number: Part 1 1.5 60.5

27 Column Multiplication of a Three-Digit Number: Part 2 2.5 63

28 Division Beyond the Multiplication Table 1.5 64.5 29 Long Division of 2-Digit Numbers 2 66.5 30 Long Division of 3-Digit Numbers 2 68.5 31 Review: Customary Units of Length 1.5 70 32 Multiplication and Division: 1.5 71.5

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Checking One Operation with the Other 33 Metric Units of Length: Changing Units 1.5 73 34 Equations with an Unknown Factor 2 75 35 Equations with an Unknown Dividend 2 77

* Objective Hours listed are averages only. Some students may take more or less time.

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Basic II

REASONING MIND CURRICULUM OBJECTIVE LIST BASIC II

Recommended for 5th Graders

OBJECTIVE NAME Obj. Hours*

Total Hours*

1 Review: Natural Numbers 2 2 2 Reading and Writing Natural Numbers 2 4 3 Lines, Rays, and Line Segments 1.5 5.5 4 Comparing Natural Numbers 2 7.5 5 Rounding Natural Numbers 2 9.5 6 Adding Natural Numbers 1.5 11

7 Properties of Addition, Convenient Calculation, and Polygons 2 13

8 Column Addition 2 15 9 Subtracting Natural Numbers 1.5 16.5

10 Properties of Subtraction and Convenient Calculation 2 18.5 11 Column Subtraction 2 20.5 12 Numerical Expressions with Parentheses 2 22.5 13 Properties of Addition and Subtraction with Letters 1.5 24 14 Equations 2 26 15 Multiplying Natural Numbers 1.5 27.5 16 Properties of Multiplication 1.5 29 17 Column Multiplication by a One-Digit Number 2 31 18 Column Multiplication by a Two-Digit Number 2 33

19 Formulas for the Area and Perimeter of Squares and Rectangles 2 35

20 Dividing Natural Numbers 2 37

21 Dividing Round Numbers and Finding How Many Times More/Less 1.5 38.5

22 Division with a Remainder 2 40.5 23 Long Division 2 42.5 24 Order of Operations 2 44.5 25 Equations with Multiplication and Division 2 46.5 26 Distributive Property of Multiplication 1.5 48 27 Numerical Expressions and Convenient Calculation 2 50 28 Formulas for Distance and Cost 2 52 29 Circles and Disks 1.5 53.5 30 Fractions and Percentages 2 55.5 31 Fractions, Division, and Ratios 2 57.5 32 Improper Fractions and Mixed Numbers 2 59.5 33 Comparing Fractions with Like Denominators 1.5 61

34 Comparing Common Fractions with Different Denominators 2.5 63.5

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35 Adding and Subtracting Fractions with Like Denominators 3 66.5

36 Adding and Subtracting Mixed Numbers with Like Denominators 1.5 68

37 Decimals and Percentages 3 71 38 Comparing Decimals 2.5 73.5 39 Rounding Decimals 2 75.5 40 Adding Decimals 2 77.5 41 Subtracting Decimals 3 80.5 42 Multiplying a Decimal by a Whole Number 2 82.5 43 Multiplying a Decimal by a Decimal 2 84.5 44 Dividing a Decimal by a Whole Number 2 86.5 45 Dividing a Decimal by a Decimal 3 89.5

* Objective Hours listed are averages only. Some students may take more or less time.

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Basic III

REASONING MIND BASIC III

Recommended for 6th Graders

OBJECTIVE NAME Obj. Hours *

Total Hours *

1 Review: Decimals Basics 1 1 2 Review: Comparing and Rounding Decimals,

Addition and Subtraction of Decimals 2 3 3 Review: Rounding Decimals 1 4 4 Review: Adding and Subtracting Decimals 2 6 5 Multiplying a Decimal by a Whole Number 2 8 6 Multiplying a Decimal by a Decimal 2 10 7 Dividing a Decimal by a Whole Number 2 12 8 Dividing a Decimal by a Decimal 3 15 9 Distributive Property to Simplify Calculations

Involving Decimals 1 16 10 Distributive Property to Simplify Expressions

Involving Decimals 1 17 11 Distributive Property to Simplify Equations Involving

Decimals 1 18 12 Review: Factors, Prime and Composite Numbers,

GCFs 4 22 13 Review: Multiples and LCMs 4 26 14 Divisibility by 2, 5, and 10 4 30 15 Divisibility by 3 and 9 4 34 16 Finding GCF and LCM by Prime Factorization 4 38 17 Review: Fraction Basics 2 40 18 Review: Mixed Numbers 1 41 19 Equivalent Fractions; Reducing Fractions to the

Lowest Terms 2 43 20 Reducing Fractions to Common Denominator 9 52 21 Review: Comparing, Adding, and Subtracting

Fractions with Like Denominators 2 54 22 Comparing Fractions with Different Denominators 4 58 23 Adding and Subtracting Fractions with Unlike

Denominators 4 62 24 Review: Comparing, Adding, and Subtracting Mixed

Numbers with Like Denominators 2 64 25 Adding and Subtracting Mixed Numbers 4 68 26 Multiplying Common Fractions 4 72 27 Finding Fraction of a Number 5 77

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28 Dividing Fractions and Mixed Numbers 9 86 29 Fractional Expressions 2 88 30 Ratios Basics 1 89 31 Ratios of Amounts which have Different Units but

Measure the Same Thing 1.5 90.5 32 Rates 2 92.5 33 Rates of Speed; Movement Formulas 2 94.5 34 Proportions Basics 2 96.5 35 The Main Property of Proportions 2 98.5 36 Solving Proportions 2 100.5 37 Direct Proportionality 2 102.5 38 Conversion of Metric Units Using Proportions 3 105.5 39 Conversion of Customary Units Using Proportions 3 108.5 40 Negative Integers and Scales 2 110.5 41 Opposite Numbers 2 112.5 42 Number Line 1 113.5 43 The Absolute Value of a Number 3 116.5 44 Comparing Integers; Inequalities 4 120.5 45 Increase and Decrease of a Value on the Number Line 3 123.5 46 Coordinate Planes 1 124.5 47 Graphs on Coordinate Plane 4 128.5 48 Review: Polygons Basics 1 129.5 49 Review: Angles 1 130.5 50 Regular Polygons 1 131.5 51 Sum of the Angles of a Triangle; Sum of the Angles of

a Quadrilateral 2 133.5 52 Types of Triangles 1 134.5 53 Trapezoids and Parallelograms 0.5 135 54 Review: Area 1 136 55 Area of Triangle and Trapezoid 2 138 56 Review: Circle and Disk 1 139 57 Circumference of a Circle; Area of a Disk 2 141 58 Review: Range, Median, and Mode 1 142 59 The Mean 2 144 60 Line Plots, Stem and Leaf Plots 2 146 61 Review: Tree diagrams; Combinations 1 147 62 Review: Experiments and Random Events 1 148 63 Review: Equally Likely Outcomes, Probability of an

Event 1 149 64 Sample Spaces and Complement Events 2 151

* Objective Hours listed are averages only. Some students may take more or less time.