Study kit (Mathematics 6th)

Mathematics Grade 6

Authors
Samuel Irumbi, Francis Mwangi, Obadiah Kariuki, Zipporah Muli, Washington Mbiruru
Exercises kit’s authors
Samuel Irumbi, Francis Mwangi, Obadiah Kariuki, Zipporah Muli, Washington Mbiruru
Publisher
Kenya Literature Bureau
  • The study kit contains 149 chapters and 884 exercises of which 664 are in the chapters and 220 in the task exercises.
  • Authors
    Samuel Irumbi, Francis Mwangi, Obadiah Kariuki, Zipporah Muli, Washington Mbiruru
  • Exercises kit’s authors
    Samuel Irumbi, Francis Mwangi, Obadiah Kariuki, Zipporah Muli, Washington Mbiruru
  • Subject
    Mathematics
  • Grade
    Grade 6
  • Kit's language
    English
  • Publisher
    Kenya Literature Bureau
  • Included in packages

1. Numbers - Whole Numbers

Lead
Chapter
1.1. Millions
1.2. Place Value of Digits Up To Millions
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1.3. Total Value of Digits Up To Millions
1.4. Place Value and Total Value of Digits up to Millions in Real Life
1.5. Reading Numbers up to 9 999 999
1.6. Reading Numbers up to 99 999 999
1.7. Reading numbers up to 999 999 999
1.8. Reading, Writing and Relating Numbers up to 50 000 in Words
1.9. Reading and Writing Numbers from 50 001 – 100 000 in Words
1.10. Reading, Writing and Relating Numbers up to 100 000 in Words in Real Life
1.11. Arranging Numbers up to 100 000 from the Smallest to the Largest
1.12. Arranging Numbers up to 100 000 from the Largest to the Smallest
1.13. Ordering Numbers up to 100 000 in Real Life Situations
1.14. Rounding off Numbers up to 10 000 to the Nearest Thousand
1.15. Rounding off Numbers from 10 000 to 100 000 to the Nearest Thousand
1.16. Rounding off Numbers up to 100 000 to the Nearest Thousand in Real Life Situations
1.17. Squares of Whole Numbers up to 100
1.18. Application of Squares of Whole Numbers
1.19. Square Roots of Perfect Squares up to 10 000
1.20. Working out Square Roots Using Prime Factors

2. Numbers - Multiplication

Lead
Chapter
2.1. Multiplication of a 3-digit Number by a 2-digit Number
2.2. Multiplication of up to a 4-Digit Number by a 2-Digit Number Using the Expanded Form
2.3. Multiplication of up to a 4-Digit Number by a 2-Digit Number Using the Short Form
2.4. Estimating Products by Rounding off Numbers being Multiplied to the Nearest Ten
2.5. Estimating Products Using Compatible Numbers
2.6. Patterns Involving Multiplication

3. Numbers - Division

Lead
Chapter
3.1. Division of up to a 4-Digit Number by a 1-Digit Number
3.2. Division of up to a 4-Digit Number by a 2-Digit Number
3.3. Division of up to a 4-Digit Number by a 3-Digit Number
3.4. Estimating Quotients by Rounding off the Dividend and Divisor to the Nearest Ten
3.5. Two Combined Operations
3.6. Three or Four Combined Operations

4. Numbers - Fractions

Lead
Chapter
4.1. Least Common Multiple (LCM)
4.2. Addition of Fractions Using LCM
4.3. Subtraction of Fractions Using LCM
4.4. Addition of Mixed Numbers
4.5. Subtraction of Mixed Numbers
4.6. Addition of Mixed Fractions
4.7. Subtracting Mixed Fractions
4.8. Identifying Reciprocal of Fractions
4.9. Squares of Fractions
4.10. Converting Fractions to Equivalent Fractions With Denominator 100
4.11. Identifying a Percentage as a Fraction with Denominator 100
4.12. Converting Fractions to Percentages and Percentages to Fractions

5. Numbers - Decimals

Lead
Chapter
5.1. Identifying Ten Thousandths
5.2. Place Value of Decimals up to Ten Thousandths
5.3. Number of Decimal Places
5.4. Round off Decimals
5.5. Converting Decimals to Fractions
5.6. Converting Fractions to Decimals (1)
5.7. Converting Fractions to Decimals (2) 
5.8. Conversion of Decimals to Percentages
5.9. Conversion of Percentages to Decimals
5.10. Addition of Decimals up to Ten Thousandths
5.11. Subtraction of Decimals up to Ten Thousandths
5.12. Addition and Subtraction of Decimals

6. Measurement - Length

Lead
Chapter
6.1. Identifying Millimetre as a Unit of Measuring Length
6.2. Relationship Between Millimetres and Centimetres
6.3. Conversion of Centimetres to Millimetres
6.4. Conversion of Millimetres to Centimetres
6.5. Addition of Centimetres and Millimetres (1)
6.6. Addition of Centimetres and Millimetres (2)
6.7. Subtraction of Centimetres and Millimetres (1)
6.8. Subtraction of Centimetres and Millimetres (2)
6.9. Multiplication of Centimetres and Millimetres
6.10. Division of Centimetres and Metres (1)
6.11. Division of Centimetres and Metres (2)
6.12. Circumference, Diameter and Radius
6.13. Relationship Between Circumference and Diameter of a Circle

7. Measurement - Area

Lead
Chapter
7.1. Establishing That Area of a Triangle is Equal to a Half Area of a Rectangle
7.2. Establishing That the Area of a Triangle is Equal to a Half Area of a Square
7.3. Area of a Right-Angled Triangle
7.4. Area of Other Types of Triangles
7.5. Area of Combined Shapes (1)
7.6. Area of Combined Shapes (2)

8. Measurement - Capacity

Lead
Chapter
8.1. Cubic Centimetres and Millilitres
8.2. Relationship between Cubic Centimetres and Litres
8.3. Conversion of Litres to Millilitres
8.4. Conversion of Millilitres to Litres
8.5. Conversion of Litres and Millilitres to Millilitres
8.6. Conversion of Millilitres to Litres and Millilitres
8.7. Conversion Involving Millilitres, Litres and Cubic Centimetres

9. Measurement - Mass

Lead
Chapter
9.1. Identifying the Tonne
9.2. Items Where Mass Can Be Measured in Tonnes (t)
9.3. The Relationship Between the Kilograms and the Tonne
9.4. Estimating Mass in Tonnes
9.5. Conversion of Tonnes to Kilograms
9.6. Conversion of Kilograms to Tonnes
9.7. Addition of Tonnes and Kilograms Without Conversion
9.8. Addition of Tonnes and Kilograms With Conversion
9.9. Subtraction of Tonnes and Kilograms Without Conversion
9.10. Subtraction of Tonnes and Kilograms With Conversions
9.11. Multiplication of Tonnes and Kilograms by Whole Numbers
9.12. Multiplication of Tonnes and Kilograms by Whole Numbers With Conversion
9.13. Division of Tonnes and Kilograms by Whole Numbers Without Conversion
9.14. Division of Tonnes and Kilograms by Whole Numbers With Conversion

10. Measurement - Time

Lead
Chapter
10.1. Identifying Time in a.m. and p.m.
10.2. Writing Time in a.m.
10.3. Writing Time in p.m.
10.4. Writing Time in a.m. and p.m.
10.5. Relating Time in 12 Hour to 24 Hour Clock Systems
10.6. Relating Time in p.m. to Time in 24 Hour System
10.7. Conversion of Time (1)
10.8. Conversion of Time (2)
10.9. Travel Time Tables
10.10. Time Duration

11. Measurement - Money

Lead
Chapter
11.1. A Price List
11.2. Factors to Consider When Preparing a Simple Budget
11.3. Preparing a Simple Budget
11.4. Identifying Profit and Loss
11.5. Profit
11.6. Loss
11.7. Types of Taxes

12. Geometry - Lines

Lead
Chapter
12.1. Parallel Lines
12.2. Constructing Parallel Lines Using a Set Square and a Ruler
12.3. Constructing Parallel Lines Using a Pair of Compasses and a Ruler
12.4. Bisecting a Line Segment
12.5. Drawing a Perpendicular Line Using a Set Square and a Ruler
12.6. Constructing Perpendicular Lines Using a Pair of Compasses and a Ruler

13. Geometry - Angles

Lead
Chapter
13.1. Angles on a Straight Line
13.2. Measuring Angles on a Straight Line in Degrees
13.3. Using Angles on a Straight Line
13.4. Sum of Angles in a Triangle
13.5.
Angles of a Triangle
13.6. Using Angle Sum of a Triangle

14. Geometry - 3-D Objects

Lead
Chapter
14.1. Identifying 3-D Objects in the Environment
14.2. Cuboids and Cubes
14.3. Cylinders
14.4. Triangular Based Pyramid
14.5. Square Based Pyramid
14.6. Rectangular Based Pyramids

15. Data Handling - Bar Graphs

Lead
Chapter
15.1. Collection of Data
15.2. Arranging Data in Order
15.3. Representing Data Using Tally Marks
15.4. Representing Data Using Frequency Tables
15.5. Representing Data Using Diagrams
15.6. Representing Data Using Bar Graphs
15.7. Bar Graphs Representing Small Quantities
15.8. Bar Graph Representing Large Quantities
15.9. Interpreting Bar Graphs Representing Small Quantities
15.10. Interpreting Bar Graphs Representing Large Quantities

16. Algebra - Inequalities

Lead
Chapter
16.1. Symbol representing "less than"
16.2. Symbol Representing "greater than"
16.3. Forming Algebraic Inequalities in One Unknown Using Different Operations (1)
16.4. Forming Algebraic Inequalities in One Unknown Using Different Operations (2)
16.5. Simplifying Inequalities Using Addition
16.6. Simplifying Inequalities Using Subtraction
16.7. Simplifying Inequality Using Multiplication
16.8. Simplifying Inequalities Using Division
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