Building Blocks of 7th Grade Math equips students with a robust foundation in essential mathematical concepts, preparing them for success in 7th grade and beyond, with a focus on number series, equation solving, and geometry, and building strong problem-solving capabilities. By the end of this course, students will be able to confidently tackle complex problems and apply mathematical principles in real-world contexts.

Number Sense and Operations

• Prime factorization — break down numbers into their prime components
• Greatest common factor (GCF) — identify the largest factor shared by two or more numbers
• Least common multiple (LCM) — determine the smallest multiple shared by two or more numbers
• Number series — understand patterns and relationships in sequences of numbers

Exponents and Powers

• Understanding exponents — learn the relationship between base and exponent
• Powers with negative bases — explore how negative numbers behave when raised to powers
• Repeated multiplication — how exponents denote repeated multiplication
• Exponent rules — how to multiply and divide exponential terms

Algebraic Thinking and Equations

• Identifying expressions and equations — distinguish between mathematical phrases and complete statements
• Solving one-variable equations — master techniques to isolate variables and find solutions
• Modeling equations with visuals — use diagrams to represent and solve equations
• Two-variable equations — understand relationships between two unknowns and their graphical representation

Coordinate Plane

• Plotting points — how to find a point based on x and y coordinates
• Graphing linear equations — how to turn equations into lines on a graph
• Coordinate pairs — how to describe the location of points using coordinate pairs

Sequences

• Recognizing number patterns — identifying arithmetic and geometric sequences
• Finding next terms — use patterns to predict the upcoming values
• Writing algebraic expressions — to describe number sequences

Geometry: Lines, Angles, and Polygons

• Acute angles — angles less than 90 degrees
• Obtuse angles — angles greater than 90 degrees but less than 180 degrees
• Right angles — angles that measure exactly 90 degrees
• Polygons — closed figures formed by line segments and properties of polygons (number of sides, angles)