Algebra is likely the first subject in which students develop logical thinking. It is also a place where students are exposed to abstract reasoning, and make decisions based on given information. Algebra is likely the first subject in which students develop their problem-solving skills, which can involve extrapolation and step-by-step analysis. Algebra can help students prepare to transfer abstract thinking to other disciplinesAlgebra can lead to many new opportunities for success in the 21st century. What’s more, when students make the transition from concrete arithmetic to the symbolic language of algebra, they develop abstract reasoning skills necessary to excel in math and science. With the help of tutors site Eclassopedia students can improve their analysis skills.The Pre-Algebra course, spanning 80 hours, provides a comprehensive foundation in mathematical concepts to prepare students for more advanced studies. The curriculum is thoughtfully structured across 13 units, covering a wide array of topics. Beginning with algebraic expressions and integers, students learn about place value, variables, and expressions, and progress to more complex topics such as quadratic equations, inequalities, and geometric concepts. The course further explores decimals, factors, fractions, and exponents, enhancing skills in rational numbers and mathematical operations. Students engage with ratios, proportions, and percentages, equipping them to solve real-world problems involving proportions and percentages. Additionally, the curriculum delves into linear functions, spatial thinking, and geometric principles, fostering spatial reasoning and problem-solving abilities. Practical skills are developed in areas and volumes calculations, introducing students to three-dimensional concepts. The course culminates in understanding data analysis and probability, as well as polynomial operations. Overall, this comprehensive curriculum lays a robust foundation for further mathematical exploration.
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Curriculum
- 13 Sections
- 105 Lessons
- 60 Hours
- Algebraic Expressions and Integers12
- 1.0Place Value
- 1.1Variables and Expressions
- 1.2The Order of Operations
- 1.3Writing and Evaluating Expressions
- 1.4Integers and Absolute Value
- 1.5Adding Integers
- 1.6Subtracting Integers
- 1.7Problem Solving: Rounding and Estimating
- 1.8Inductive Reasoning
- 1.9Patterns
- 1.10Multiplying and Dividing Integers
- 1.11The Coordinate Plane
- Solving One-Step Equations and Inequalities10
- 2.0Properties of Numbers
- 2.1The Distributive Property
- 2.2Simplifying Variable Expressions
- 2.3Variables and Equations
- 2.4Solving Equations by Adding or Subtracting
- 2.5Solving Equations by Multiplying or Dividing
- 2.6Guess, Check, and Revise
- 2.7Inequalities and Their Graphs
- 2.8Solving One-Step Inequalities by Adding or Subtracting
- 2.9Solving One-Step Inequalities by Multiplying or Dividing
- Decimals and Equations7
- Factors, Fractions, And Exponents9
- Operations with Fractions7
- Ratios, Proportions, and Percentages6
- Solving Equations and Inequalities8
- Linear Functions and Graphing8
- Spatial Thinking10
- Area and Volume8
- Right Triangles in Algebra7
- Data Analysis and Probability8
- Polynomials5