Ratio and Proportion
By understanding relationships and equivalence between quantities, we can use ratios and proportional models to compare, scale, and convert values accurately.
Les critères MYP selon lesquels cette unité est évaluée.
- Connaissances et compréhension
- Communication
- Application des mathématiques dans des contextes réels
Ce que couvre cette unité
Les sous-thèmes enseignés, dans l'ordre suivi par le département.
- 8.2.1 Scale copies, similarity, and scale factor
- 8.2.2 Understand ratio
- 8.2.3 Simplify ratio
- 8.2.4 Express ratio in the form 1:n
- 8.2.5 Compare ratio and fractions
- 8.2.6 Direct proportion
- 8.2.6 Conversion graphs
- 8.2.7 Finding the constant of proportionality
- 8.2.8 Scale diagrams
- 8.2.9 Using map scales
Objectifs d'apprentissage
What students should be able to do by the end of this unit.
Ratio and Rates
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- Define and apply the concept of a ratio in real contexts.
- Identify and use equivalent ratios.
- Simplify ratios, including ratios involving different units.
- Share an amount in a given ratio.
- Understand and calculate unit rates.
- Find a given percentage of a quantity.
- Find the whole given a percentage part (reverse percentage).
- Calculate percentage increases and decreases.
Proportions
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- Define a proportional relationship.
- Test whether two quantities are in a proportional relationship using a ratio table.
- Determine the constant of proportionality.
- Write an equation of the form y = kx for a proportional relationship.
- Graph proportional relationships and interpret the gradient as the constant of proportionality.
- Apply direct proportion to solve word problems (recipes, distance-time, costs).
Scale and Similarity
Cochez pour suivre vos progrès sur cet appareil. Enregistré ici uniquement — l'enseignant ne le voit pas.
- Create and interpret scale drawings.
- Understand and use the concept of scale factor (linear).
- Use map scales to calculate real distances.
- Convert between scale lengths and real lengths in mixed units.
- Recognise similar figures and find missing sides using the scale factor.
- Understand that area scales by the square of the linear scale factor.
Matériel de révision sélectionné, à télécharger.
Un pack de révision pour cette unité est en préparation.
Cadrage MYP
- ATL ciblées
- Communication: Represent ratios using tables, graphs, and equations
- Self-Management: Choose efficient strategies and check results
- Concepts clés
- Relationships – how quantities change together
- Equivalence – maintaining value when scaling or converting
- Models – ratios, graphs, and diagrams as representations
- Contexte mondial
- Globalization & Sustainability: Ratio and proportion help us compare quantities fairly, scale objects accurately, and interpret real-world information such as maps, models, and conversions.
- Engagement communautaire
- Using map scales and scale drawings
- Comparing real-life ratios (recipes, models, maps)
- Peer explanation of proportional reasoning