Ratios and proportional relationships are foundational to 7th grade math. Students explore the concept of ratios and extend their understanding to solve problems involving proportional relationships. They learn to analyze proportional relationships, interpret graphs, and apply their knowledge to real-world scenarios. This topic develops their ability to reason proportionally and make connections between different quantities.
The number system continues to be a central focus in 7th grade math. Students expand their understanding of rational numbers, including positive and negative fractions, decimals, and integers. They develop fluency in performing operations with these numbers, working on adding, subtracting, multiplying, and dividing rational expressions. This topic lays the groundwork for higher-level mathematics and equips students with a solid numerical foundation.
Expressions and equations form a crucial component of 7th grade math. Students learn to work with expressions, simplifying and evaluating them, as well as solving equations and inequalities. They explore patterns and relationships, utilizing variables and mathematical symbols to represent and solve problems. This topic enhances their algebraic thinking skills and prepares them for more advanced algebraic concepts in subsequent grades.
Geometry remains an important focus as students study the characteristics and properties of two-dimensional and three-dimensional shapes. They explore the concepts of area, volume, surface area, and angles, utilizing their knowledge to solve geometric problems. By examining the relationships between shapes and developing spatial reasoning, students strengthen their geometric understanding and apply it to real-world situations.
The curriculum also incorporates elements of statistics and probability. Students collect, organize, and interpret data, constructing and analyzing various types of graphs and charts. They develop an understanding of measures of central tendency and variability. Additionally, students explore probability, calculating and interpreting the likelihood of events.
Ratios and Proportional Relationships
- Analyze proportional relationships and use them to solve real-world and mathematical problems. Students deepen their understanding of ratios and proportions, solve problems involving scale drawings and percent increase or decrease, and reason about unit rates associated with ratios.
The Number System
- Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Students build on their knowledge of fraction operations to perform operations with positive and negative fractions, decimals, and integers.
- Compute fluently with positive and negative integers, rational numbers, and irrational numbers. This involves performing operations with integers and rational numbers efficiently and accurately, as well as approximating irrational numbers.
Expressions and Equations
- Use properties of operations to generate equivalent expressions. Students explore the properties of operations and apply them to simplify and manipulate algebraic expressions.
- Solve real-life and mathematical problems using numerical and algebraic expressions and equations. This includes solving multi-step equations and inequalities, as well as applying these skills to solve real-world problems.
Geometry
- Draw, construct, and describe geometrical figures and describe the relationships between them. Students learn to construct geometric figures accurately using a variety of tools, as well as describe and analyze the relationships between angles, lines, and shapes.
- Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. This involves applying geometric concepts to solve problems related to angle measures, area of two-dimensional shapes, and volume and surface area of three-dimensional figures.
Statistics and Probability
- Use random sampling to draw inferences about a population. Students learn to collect and analyze data using random sampling methods and use this information to make inferences about a larger population.
- Investigate chance processes and develop, use, and evaluate probability models. This includes exploring experimental and theoretical probability, understanding compound events, and using probability to make predictions and decisions.
