Building Blocks of 7th Grade Math equips students with a robust foundation in essential mathematical concepts, preparing them for success in advanced coursework and real-world applications. This course focuses on building confidence and proficiency in key areas of pre-algebra, including proportional reasoning, algebraic expressions, equation solving, number sense, and geometric principles. By the end of this course, students will be able to confidently tackle mathematical problems and apply their knowledge to practical scenarios.

Ratios and Proportional Reasoning

• Understand and create ratios to compare different quantities—bananas to oranges, or jumping jacks to arm circles
• Convert ratios into percentages and apply them to real-world scenarios, such as calculating discounts or comparing proportions
• Solve percentage-based problems, including those involving sales, tips, and interpreting data

Expressions and Equations

• Simplify algebraic expressions by identifying and combining like terms—terms with the same variables
• Solve one-variable equations using inverse operations to isolate the variable
• Translate real-world scenarios into algebraic equations to solve practical problems—like calculating the cost of concert tickets with fees

Number Sense and the Number Line

• Develop a strong understanding of integers, including positive and negative numbers
• Use the number line as a visual tool for understanding the order and relationships between numbers
• Apply number sense to solve problems involving absolute value, inequalities, and number patterns

The Coordinate Plane

• Identify and plot points on the coordinate plane using x and y coordinates
• Understand the four quadrants of the coordinate plane and the signs of coordinates in each quadrant
• Use the coordinate plane to represent and solve geometric problems

Geometry: Shapes and Angles

• Explore basic geometric shapes, including triangles and rectangular prisms
• Calculate the surface area and volume of three-dimensional shapes using appropriate formulas
• Find missing angles in geometric figures using angle relationships and properties

Problem Solving Strategies

• Translate word problems into mathematical expressions and equations
• Apply critical thinking skills to analyze and solve complex problems
• Relate mathematical concepts to real-world situations and applications