Grade 7 – Maths: Pre-Calculus

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Skills

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  1. Understanding and applying the order of operations
  2. Solving equations and inequalities
  3. Working with exponents and radicals
  4. Graphing linear equations and inequalities
  5. Understanding and applying the properties of functions
  6. Performing operations with polynomials
  7. Simplifying and solving rational expressions
  8. Working with quadratic equations and functions
  9. Understanding and applying the laws of logarithms
  10. Graphing and analyzing exponential functions
  11. Understanding and applying the properties of geometric sequences and series
  12. Working with trigonometric functions and identities
  13. Understanding and applying the Pythagorean theorem
  14. Working with vectors and matrices
  15. Understanding and applying the concepts of limits and continuity
  16. Graphing and analyzing piecewise-defined functions
  17. Understanding and applying the concepts of derivatives and integrals
  18. Solving problems involving rates of change and optimization
  19. Understanding and applying the fundamental theorem of calculus
  20. Working with sequences and series

Curriculum

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Grade 7 Maths: Pre-Calculus

Pre-Calculus is an essential branch of mathematics that serves as a foundation for advanced mathematical concepts. In grade 7, students are introduced to various topics in Pre-Calculus that lay the groundwork for higher-level math courses. These topics include:

1. Integers and Rational Numbers

Integers and rational numbers are fundamental concepts in mathematics. In grade 7, students learn about operations with integers, including addition, subtraction, multiplication, and division. They also explore the properties of integers and how to solve equations involving integers. Furthermore, students are introduced to rational numbers, including fractions, decimals, and percentages, and learn how to perform operations with them.

2. Algebraic Expressions and Equations

Algebraic expressions and equations are crucial in understanding mathematical relationships. Grade 7 students delve into simplifying algebraic expressions by combining like terms and using the distributive property. They also learn to solve one-step and two-step equations and inequalities, developing problem-solving skills along the way.

3. Proportional Relationships

Proportional relationships involve the comparison of two quantities. In grade 7, students explore proportional relationships through ratios, rates, and percentages. They learn to identify proportional relationships and solve problems involving direct and inverse proportions. Additionally, students gain an understanding of unit rates and how to use them in real-life situations.

4. Geometry and Measurement

Geometry and measurement play a significant role in grade 7 Pre-Calculus. Students study geometric figures, such as triangles, quadrilaterals, and circles, and learn about their properties. They also explore concepts like area, perimeter, volume, and surface area, applying these measurements to solve problems involving 2D and 3D shapes.

5. Data Analysis and Probability

Data analysis and probability provide students with the skills to interpret and make sense of numerical information. In grade 7, students learn to organize, represent, and analyze data using various graphical representations, such as bar graphs, line graphs, and histograms. They also explore concepts of probability, including theoretical and experimental probability, and learn to calculate the likelihood of events.

6. Functions and Graphing

Functions and graphing introduce students to the concept of mathematical relationships and how they can be represented visually. Grade 7 students learn about linear functions, including slope and y-intercept, and how to graph them on a coordinate plane. They also explore patterns and relationships between variables, developing an understanding of how to represent these relationships algebraically and graphically.

Overall, grade 7 Pre-Calculus provides students with a solid foundation in various mathematical concepts. These topics serve as building blocks for future math courses, enabling students to tackle more complex mathematical problems with confidence.

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