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Mathematics Workbook 6A Grade

ArchiMath Publishing LLC

Authors: Zvezdelina Stankova, Zdravka Paskaleva, Maya Alashka, Raina Alashka
Pages: 136 

ISBN: 978-954-779-198-5

Available: Paperback & PDF

In geometry, students begin by carefully defining geometric objects and build to discussions on area and perimeter of plane figures, plus volumes of simple solids. Students get a taste of number theory in their work with prime factorization and divisibility rules.

This introduction to the series invites students to become confident mathematics enthusiasts by introducing basic facts, explaining the not-so-basic operations that we use in our number system, and modeling excellent solutions.



This workbook is designed to help students strengthen the
basic knowledge that they need to master in the first semester of 6th grade.

 • To each topic in the 6A Textbook correspond selected problems in the workbook that every student
should be able to solve.

 • Some of the problems have a solution in the workbook and some have the beginning of a solution,
which the students need to complete.

• After working on such problems, students should be able to complete on their own the remaining problems

The workbook:

• highlights the basic knowledge in 6A Textbook;

• has a teaching component;

• helps students learn to organize and correctly write
solutions to problems;

• saves time in searching for more problems. 

The workbook can be used:

• for independent work by the student;

• to assign homework; 

• to conduct tests; 

• for practical work with applications.

The worksheets come directly from the 6A textbook:

 • They consists of the examples from each lesson.

 • They have space for students’ solutions. The worksheets can be used:

 • for directed individual or group work in class.

The worksheets are designed to be used in tandem with the
textbook. In addition to completing these worksheets, the full solutions,
discussions, and remarks in the textbook should be carefully read and understood
by the student

Chapter 1: Natural Numbers. New Concepts

  1. Operations with Natural Numbers
  2. Expressions and Efficient Calculations
  3. Word Problems and Expressions Again
  4. Variables and Basic Equations
  5. How Mathematicians Write Solutions
  6. Pre-Test #1ids”

8-9. Fractional Numbers. Common Fractions

  1. Metric Units

11-12. Decimals. Introduction

13-14. Properties of Decimals

15-16. Comparing Decimals

17-18. Adding Decimals

19-20. Subtracting Decimals

  1. More Equations (Review w/ Extension)

24-25. Multiplying Decimals

26-27. Dividing Decimals

  1. Operations with Decimals
  2. Calculating with a Calculator
  3. Finding an Unknown with a Calculator
  4. Expressions, Units, and Words Again
  5. Sum and Difference of Segments
  6. Multiplying and Dividing Segments
  7. Basic Motion Equation. Average Speed
  8. Motion Problems
  9. Word Problems
  10. Exam on “Decimals”
  11. Test #3 on “Decimals”

Chapter 3: Geometric Figures in the Plane

39-40. Geometric Figures. Triangles (Review)

  1. Distance from a Point to a Line
  2. Altitudes in a Triangle
  3. Rectangle (Review)

44-45. Area of a Rectangle (Review)

  1. Converting Units for Area. Exercises
  2. Area of a Right Triangle
  3. Area of a Triangle

50-51. Quadrilateral and Its Perimeter and Area

52-54. Parallelogram and Its Perimeter

55-56. Area of a Parallelogram

57-58. Trapezoid and Its Perimeter

59-60. Trapezoid and Its Area

  1. Exams on “Plane Figures”
  2. Test #4 on “Plane Figures”

Chapter 4: Divisibility

64-65. Multiples, Divisors, Prime Numbers

66-67. Divisibility of a Product and a Sum

68-69. Criterion for Divisibility by 2 and by 5

70-71. Criterion for Divisibility by 3 and by 9

73-74. Prime Factorization. Finding the GCD

75-76. Common Multiple. Finding the LCM

  1. Exam on “Divisibility”
  2. Test #5 on “Divisibility”

Chapter 5: Rectangular Parallelepiped

  1. Coordinates of a Point

 80-81. Rectangular Parallelepiped. Cube

 82-83. Surface Area of a Parallelepiped

 84-85. Volume of a Rectangular Parallelepiped

  1. Surface Area and Volume of a Box
  2. Exam on “Solids’’
  3. Test #6 on “Solids”