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Pre-algebra is the first step in high school math, laying the groundwork for geometry, trigonometry, and calculus. This course will teach you the fundamentals of mathematics, including addition, subtraction, multiplication, and division, as well as new types of numbers (integers and negative numbers) and concepts like the order of operations and distribution.
This course includes practise challenges and worksheets, as well as advice for teachers who are assisting students in mastering pre-algebra for the Common Core. Karin Hutchinson can also assist you in evaluating, writing, and simplifying expressions, as well as solving word problems and complex algebraic expressions.
Syllabus :
1. Adding Integers
- Introduction to integers
- Adding integers with the same sign
- Absolute value
- Adding integers with different signs
2. Subtracting Integers
- Identifying the rule for subtracting integers
3. Multiplying and Dividing Integers
- Identifying the rules for multiplying and dividing integers
4. Order of Operations
- Introduction to the order of operations using PEMDAS
- Order of operations: Parentheses and exponents
- Order of operations: Other grouping symbols
5. Evaluating Expressions
- Using variables to translate algebraic expressions
- Evaluating expressions by substituting for the variable
- Evaluating expressions using a table of values
6. Word Problems and Algebraic Expressions
- Introduction to common mathematical words
- Writing algebraic expressions for real-world problems
- More real-world problems
7. The Distributive Property
- Proving the distributive property
- Distributing a positive number
- Distributing a negative number
- Distributing a negative number: Problem 2
8. Simplifying Expressions
- Introduction to like terms
- Combining like terms
- Simplifying expressions using the distributive property
- Simplifying expressions with double distributive property
