8th Grade Algebra topics for the year
8th Grade Algebra Topics The following skills will be taught and assessed during the 8th Grade algebra year. 1. Introduction to variables, Numerical expressions, Variable expressions, simplifying and evaluating expressions. 2. The three grouping symbols : parenthesis ( ), brackets [ ] , and fraction bar / . 3. Order of operations. 4. Domains and roots. Using solution sets to identify the solution of an equation. 5. Translating word phrases into numerical and/or variable expressions. 6. Translating sentences into equations. 7. Translating word problems into equations. 8. Using the five step plan to convert word problems into equations and solve via solution sets. 9. The number line, integers, magnitudes, and absolute value. 10. Number properties: • Closure properties • Commutative properties • Associative properties • Properties of Equality Reflexive, Symmetric and Transitive • Identity Property • Property of Opposites • Property of the Opposite of a Sum • Distributive Property: with respect to addition and subtraction 11. Operations with integers: Addition, Subtraction, Multiplication, Division 12. Solving Word problems involving integers. 13. Algebraic Rules for Multiplication • Identity Property of Multiplication • Multiplicative property of Zero • Multiplicative property of Negative One 14. Algebraic Rules for Division • Property of Reciprocals • Property of the Reciprocal of the Opposite of a number • Property of the Reciprocal of a Product • Definition of Division 15. Transforming equations by: • Substitition • Addition • Subtraction • Multiplication • Division 16. Property of Equality • Multiplication • Division 17. Inverse operations • One step equations • Two step equations • Multiple step equations 18. Combining Like Terms 19. Solving equations with the variable on both sides of the equal sign. 20. Problem Solving using charts. 21. Exponents vs. Exponential Form 22. Monomials and polynomials: simplifying, the degree of 23. Adding, subtracting, and multiplying polynomials. 24. Transforming Formulas in terms of other variables.