Algebra syllabus for 7th grade
The math curriculum for Algebra typically taught to students aged 12 to 13 builds upon the foundational mathematical concepts they have learned in previous years. It aims to introduce them to the fundamental principles of algebraic thinking and problem-solving. Here are some key topics and concepts that are typically covered in an Algebra curriculum for ages 12 to 13:
Expressions and Equations: Students learn to translate word problems into algebraic expressions and equations. They work with variables, constants, and coefficients, and learn to simplify expressions and solve linear equations.
Operations with Integers: Students expand their understanding of number systems to include integers (positive and negative whole numbers). They learn to perform operations such as addition, subtraction, multiplication, and division with integers.
Linear Functions: Students explore linear functions, including their graphical representations and algebraic equations. They learn to calculate slope and interpret its meaning in real-world contexts. They also study the concepts of intercepts and the relationship between equations and graphs.
Proportional Relationships: Students investigate proportional relationships between quantities. They learn to solve problems involving ratios, rates, and proportions, and understand concepts like direct variation and constant of proportionality.
Solving Systems of Equations: Students are introduced to systems of linear equations and learn methods to solve them, including graphing, substitution, and elimination. They apply these techniques to real-world scenarios and learn to interpret the solutions.
Exponents and Scientific Notation: Students delve into the properties and operations of exponents. They learn to simplify expressions with exponents, solve equations with exponents, and work with scientific notation to represent very large or very small numbers.
Data Analysis: Students learn basic concepts of data analysis, including collecting, organizing, and interpreting data. They explore different types of graphs and charts and use them to draw conclusions and make predictions.
Geometry: While not purely algebraic, geometry concepts often intersect with algebra at this stage. Students study geometric shapes, angles, area, perimeter, and volume, and use algebraic methods to solve geometry-related problems.
Throughout the curriculum, there is an emphasis on problem-solving, critical thinking, and mathematical reasoning. Students are encouraged to apply algebraic concepts to real-world situations and develop their ability to communicate their mathematical thinking verbally and in written form.
Algebra sub-categories for 7th grade
Algebra topics by sub-category
Algebra → Simplify expressions → Add and subtract
Simplify like & unlike terms
Simplify the given expressions by adding and subtracting like and unlike terms
Add unit fractions of like terms
Add unit fraction amounts of like terms e.g. 1/5x + 1/2x
Subtract fractions of like terms
Subtract fractional amounts of like terms e.g. ¾x - ½x
Algebra → Simplify expressions → Multiply terms
Multiply like terms with exponents
Simplify expressions by multiplying like terms with exponents e.g. 2y² x 2y²
Multiply like & unlike terms
Simplify expressions by multiplying like & unlike terms with exponents and / or coefficients e.g. b x 3c² x b² x d
Algebra → Simplify expressions → Divide terms
Divide unlike terms
Divide unlike terms with coefficients but no exponents e.g. 4xyz / xz
Divide unlike terms with exponents
Simplify expressions by dividing unlike terms with coefficients and exponents e.g. 6x⁵y / 3x²
Algebra → Simplify expressions → Brackets
Expand a single bracket
Use multiplication to expand a single simple bracket expression e.g. 5(4 + 3x)
Bracket with x outside
Expand expressions with single brackets that have coefficients of x outside the bracket e.g. 5x(3y - 6x)
Algebra → Factorise → Linear expressions
Common terms
Factorise out common terms only
Common number factors
Factorise out common numbers
