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7th Grade Math

Welcome to the Seventh Grade Math homepage! In seventh grade, students embark on a journey of deepening advanced mathematical concepts, building on their foundation from previous years. They delve into algebraic thinking, mastering equations, inequalities, and functions. Through systematic practice, they refine their skills in multi-step problem-solving, preparing for more complex mathematical challenges ahead. A significant focus of the year is on proportional relationships and percentages, where students explore real-world applications and mathematical modeling. They develop fluency in operations with rational numbers, including decimals, fractions, and integers, and deepen their understanding of ratios and proportions. Seventh graders also explore geometry and measurement, investigating concepts such as area, volume, and scale drawings. They apply their knowledge to solve geometric problems and analyze shapes using precise mathematical language. Throughout the year, students are encouraged to think critically and communicate their mathematical reasoning effectively.

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7th Grade Math Unit Materials

Unit 1: Scale Drawings

In this unit, seventh graders will explore spatial relationships and dimensions. They’ll differentiate between scaled and non-scaled figures, calculate scale factors, and draw scaled replicas. Students will analyze how different scale factors affect size and use reciprocal scaling. They’ll apply scale drawings to calculate distances, dimensions, and area representations, mastering scales with or without units. By the end of the unit, students will have a solid grasp of scaled drawings, enhancing their geometric understanding and spatial reasoning skills.

Click here to download a PDF version of Unit 1: Scale Drawings

Unit 2: Introducing Proportional Relationships

In this unit, seventh graders will explore ratios and equations. They’ll compare ratios in contexts like recipes and scaled copies, and use tables to describe and calculate constants of proportionality. Students will write equations for proportional relationships, recognizing how different equations can express the same relationship. They’ll interpret and solve problems using tables, graphs, and equations, understanding that proportional relationships are characterized by y=kx. By the end of the unit, students will represent and compare proportional relationships across various mathematical forms, enhancing their skills in mathematical reasoning and problem-solving.

Click here to download a PDF version of Unit 2:Introducing Proportional Relationships

Unit 3: Proportional Relationships and Percentages

In this unit, seventh graders will calculate percentages of rectangular areas and understand why these percentages remain consistent in scaled copies. Students will solve problems involving equivalent ratios with fractions, calculate scale factors and constants of proportionality, and use fractions and decimals to describe increases and decreases. They’ll apply their skills to real-world scenarios like percent increases and decreases in taxes, tips, discounts, and measurement errors represented as percent error. By the end of the unit, students will master using percentages to solve diverse mathematical problems, strengthening their practical and theoretical understanding of proportional reasoning.

Click here to download a PDF version of Unit 3: Proportional Relationships and Percentages

Unit 4: Rational Number Arithmetic

In this unit, seventh graders will interpret signed numbers in contexts like temperature, elevation, and financial transactions. Using number lines, they’ll master adding, subtracting, multiplying, and dividing positive and negative numbers, applying these operations to solve real-world problems. By understanding the relationships between these operations, students will confidently solve equations and interpret directed changes in diverse scenarios involving rational numbers.

Click here to download a PDF version of Unit 4: Rational Number Arithmetic

Unit 5: Expressions, Equations, and Inequalities

In this unit, seventh graders will analyze proportional and non-proportional relationships using tape diagrams and equations to find unknown values. Students will match and coordinate different equation forms with verbal descriptions and tape diagrams, solving word problems involving percent changes. They’ll also explore inequalities, writing and solving them to represent real-world scenarios and interpreting their solutions. Throughout, students will expand their understanding of expressions with negative coefficients, applying properties of operations to simplify and manipulate equivalent expressions effectively.

Click here to download a PDF version of Unit 5: Expressions, Equations, and Inequalities