Number Lines: Operations [TEKS Tools Grade 7]

This post specifically looks at how number lines can be used solve problems involving the four operations. Read more about TEKS Tools and their rationale here.

Number Lines

Number lines account for around 30% of each 7th grade STAAR test. These number lines are applied to solve problems related to ratios, rates, percents, scale, and operations.

The main function of a number line is to solve problems involving operations, understand ratios, rates, and proportionality, or as a tool to explore scale and percent increase/decrease. By visualizing these quantities on number lines, students can better make sense of the how the quantities are related.

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Operations

7.3A - add, subtract, multiply, and divide rational numbers fluently

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2024-2: a decimal and a fraction were given, students had to find the difference

2025-23: a decimal and a fraction were given, students had to find the difference

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7.3B - apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers

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2023-14: a real-world situation was given, students had to find the amount remaining

2023-31: a real-world situation was given, students had to find the new temperature

2024-5: a real-world situation was given, students had to find the amount remaining

2024-24: a real-world situation was given, students had to find the fraction of the whole

2025-11: an expression, students had to find the amount difference

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Non-proportional relationships

7.7A - represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b

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2023-7: a non-proportional relationship was given as a verbal description, students had to show it in a table