Yuvijen
CBSE Class 8 Mathematics
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Tales by Dots and Lines
12.9 Explore: The Balance-Point Checker
What’s inside every chapter
Syllabus
My Progress
A Square and A Cube
1.1 A Row of Glass Cabinets
1.2 Square Numbers
1.3 Cubic Numbers
1.4 A Pinch of History
1.5 Going Deeper: Enrichment & Exam Preparation
1.6 Summary & Closing Puzzle
1.7 Check Your Understanding
Power Play
2.1 Feeling the Force of Powers
2.2 Exponential Notation and Operations
2.3 The Other Face of Powers
2.4 Powers of 10
2.5 Have You Ever Wondered?
2.6 A Pinch of History
2.7 Going Deeper: Enrichment & Exam Preparation
2.8 Summary
2.9 Explore: Power Calculator & Laws Explorer
2.10 Check Your Understanding
A Story of Numbers
3.1 Anaya’s Puzzle
3.2 Some Early Number Systems
3.3 The Idea of a Base
3.4 Place Value Representation
3.5 Going Deeper: Enrichment & Exam Preparation
3.6 Summary
3.7 Check Your Understanding
Quadrilaterals
4.1 A Frame-Maker’s Puzzle
4.2 Rectangles and Squares
4.3 Angles in a Quadrilateral
4.4 Parallelograms
4.5 Quadrilaterals with Equal Sides: the Rhombus
4.6 Kite and Trapezium
4.7 Going Deeper: Enrichment & Exam Preparation
4.8 Summary
4.9 Check Your Understanding
Number Play
5.1 Is This a Multiple Of?
5.2 Checking Divisibility Quickly
5.3 Digits in Disguise
5.4 A Game to Play: Navakankari
5.5 Going Deeper: Enrichment & Exam Preparation
5.6 Summary
5.7 Check Your Understanding
We Distribute, Yet Things Multiply
6.1 Some Properties of Multiplication
6.2 Fast Multiplication Using Distributivity
6.3 Special Cases of the Distributive Property
6.4 Mind the Mistake, Mend the Mistake
6.5 This Way or That Way, All Ways Lead to the Bay
6.6 Going Deeper: Enrichment & Exam Preparation
6.7 Summary & Closing Puzzle
6.8 Check Your Understanding
Proportional Reasoning-1
7.1 Observing Similarity in Change
7.2 Ratios
7.3 Ratios in their Simplest Form
7.4 Problem Solving with Proportional Reasoning
7.5 Trairāśika: The Rule of Three
7.6 Sharing, but Not Equally!
7.7 Unit Conversions
7.8 Going Deeper: Enrichment & Exam Preparation
7.9 Summary
7.10 Check Your Understanding
Fractions in Disguise
8.1 A Number in Disguise
8.2 Fractions as Percentages
8.3 Percentage of a Quantity
8.4 Using Percentages
8.5 Growth and Compounding
8.6 Tricky Percentages
8.7 Going Deeper: Enrichment & Exam Preparation
8.8 Summary
8.9 Check Your Understanding
The Baudhayana–Pythagoras Theorem
9.1 Doubling a Square
9.2 Halving a Square
9.3 The Hypotenuse of an Isosceles Right Triangle
9.4 Combining Two Different Squares
9.5 Right Triangles with Whole-Number Sides
9.6 An Extra Proof: Rearranging Four Triangles
9.7 Distances on a Grid
9.8 A Long-Standing Open Problem
9.9 Further Applications
9.10 Going Deeper: Enrichment & Exam Preparation
9.11 Summary & Closing Puzzle
9.12 Check Your Understanding
Proportional Reasoning-2
10.1 Proportionality: A Quick Recap
10.2 Ratios in Maps
10.3 Ratios with More than Two Terms
10.4 Dividing a Whole in a Given Ratio
10.5 A Slice of the Pie
10.6 Inverse Proportions
10.7 Going Deeper: Enrichment & Exam Preparation
10.8 Summary
10.9 Check Your Understanding
Exploring Some Geometric Themes
11.1 Fractals
11.2 Visualising Solids
11.3 Try the Euler’s-Formula Checker
11.4 More Practice
11.5 Going Deeper: Enrichment & Exam Preparation
11.6 Summary
11.7 Check Your Understanding
Tales by Dots and Lines
12.1 The Balancing Act
12.2 Tinkering with the Median
12.3 Mean and Median with Frequencies
12.4 Spreadsheets
12.5 Visualising and Interpreting Data
12.6 Beyond Lines: Infographics and Strips
12.7 Going Deeper: Enrichment & Exam Preparation
12.8 Summary
12.9 Explore: The Balance-Point Checker
12.10 Explore: Frequency-Table Calculator
12.11 Check Your Understanding
Algebra Play
13.1 Algebra Comes Out to Play
13.2 Thinking About ‘Think of a Number’ Tricks
13.3 Number Pyramids
13.4 Fun with Grids
13.5 The Largest Product
13.6 Decoding Divisibility Tricks
13.7 Going Deeper: Enrichment & Exam Preparation
13.8 Summary
13.9 Check Your Understanding
Area
14.1 Rectangles and Squares
14.2 The Area of a Triangle
14.3 The Area of Any Polygon
14.4 Special Shapes by Dissection
14.5 Areas in Real Life
14.6 Going Deeper: Enrichment & Exam Preparation
14.7 Summary
14.8 Check Your Understanding
References
Tales by Dots and Lines
12.9 Explore: The Balance-Point Checker
12.9 Explore: The Balance-Point Checker
Type a few numbers and watch how the mean (the balance point) and the median respond.
Enter numbers separated by commas:
12.8 Summary
12.10 Explore: Frequency-Table Calculator