Chapter route

Proportional Reasoning-1

This chapter page turns the high-level subject view into an ordered learning slice, with direct links from curriculum items into topic and skill detail.

Ordered curriculum items

Each curriculum item can now route into topic and skill-level detail.

Writing Ratios

Express comparisons as ratios and simplify them to equivalent forms.

Topic: Ratios and Equivalent Comparisons Skill: Write and simplify ratios from contexts

Equivalent Ratios

Generate equivalent ratios by multiplying or dividing both terms by the same factor.

Topic: Ratios and Equivalent Comparisons Skill: Create equivalent ratios using scaling

Comparing Ratios

Compare ratios using common units, equivalent ratios, or cross multiplication.

Topic: Ratios and Equivalent Comparisons Skill: Compare two ratios fairly

Unit Rate Calculation

Find per-one values such as cost per item, distance per hour, or quantity per person.

Topic: Rates and Unit Rates Skill: Find unit rates from real-life data

Best Value Using Unit Rates

Compare offers, speeds, or efficiencies using unit rates.

Topic: Rates and Unit Rates Skill: Use unit rates to choose better value

Identifying Direct Proportion

Decide whether two quantities are directly proportional from patterns in data.

Topic: Direct Proportion and Scaling Skill: Identify direct proportion from tables and contexts

Direct Proportion by Unitary Method

Use the unitary method to solve scaling and direct-proportion problems.

Topic: Direct Proportion and Scaling Skill: Solve direct proportion problems by unitary method

Scale and Proportion Problems

Apply proportional reasoning to maps, recipes, models, and drawings.

Topic: Direct Proportion and Scaling Skill: Solve map, recipe, and scale-drawing problems

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Chapter routes make the curriculum map feel sequential instead of abstract.

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