Proportional Reasoning-1
CBSE · Class 8 · Mathematics
Complete topic list for Proportional Reasoning-1 in CBSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Proportional Reasoning-1
Understanding Similarity and Proportional Change
- When images are resized, they look similar only when both width and height change by the same factor
- If dimensions change by different factors, the image appears distorted
- Proportional change means all related quantities change by the same multiplication factor
Ratios and Their Properties
- A ratio a:b means for every 'a' units of first quantity, there are 'b' units of second quantity
- The numbers in a ratio are called terms of the ratio
- Ratios can be simplified by dividing both terms by their HCF
Proportion and Cross Multiplication
- Two ratios are in proportion if they are equal in their simplest forms
- Proportion is written as a:b::c:d (read as 'a is to b as c is to d')
- For proportional ratios, ad = bc (cross multiplication property)
Problem Solving with Proportional Reasoning
- Identify what quantities are related proportionally in word problems
- Set up the proportion with consistent units
- Use cross multiplication to solve for unknown quantities
Key Concepts
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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