Essential Questions
A question is essential when it stimulates multi-layered inquiry, provokes deep thought and lively discussion, requires students to consider alternatives and justify their reasoning, encourages re-thinking of big ideas, makes meaningful connections with prior learning, and provides students with opportunities to apply problem-solving skills to authentic situations.
A question is essential when it stimulates multi-layered inquiry, provokes deep thought and lively discussion, requires students to consider alternatives and justify their reasoning, encourages re-thinking of big ideas, makes meaningful connections with prior learning, and provides students with opportunities to apply problem-solving skills to authentic situations.
- What are the types/varieties of situations in life that depend on or require the application of ratios and proportional reasoning?
- How can a complex fraction be simplified?
- What are ratios? How are ratios and rates used to make comparisons?
- What is the difference between a unit rate and a ratio?
- What is a proportion?
- Why are multiplicative relationships proportional?
- How are equivalent ratios, values in a table, and ordered pairs connected?
- What characteristics define the graphs of all proportional relationships?
- What makes a relationship “proportional”? How can I tell if a proportional relationship exists? What do I need to know to determine if relationships are proportional?
- How can I use tables, graphs or equations to determine whether a relationship is proportional?
- How will tables or diagrams help in my understanding of proportionality?
- How can representing mathematical ideas in different ways (graphs, tables, equations, diagrams, words) help me solve problems?