Systematic Review of Algebra
1. Add and subtract integers (signed numbers). CCSSM: 7.NS.1
- Color Chips – Addition – Use color chips to illustrate addition of integers. (from the National Library of Virtual Manipulatives – NLVM)
- Color Chips – Subtraction – Use color chips to illustrate subtraction of integers.
2. Solve one-step equations using addition and subtraction. CCSSM: 6.EE.7 and CCSSM: 7.EE4a
- One-step equations with addition and subtraction at Khan Academy
- Practice at AAA-Math
3. Multiply and divide integers (signed numbers). CCSSM: 7.NS.1
- Practice at Khan Academy
4. Solve one-step equations using multiplication and division (including fractions). CCSSM: 6.EE.7 and CCSSM: 7.EE4a
- One-step equations with multiplication and division at Khan Academy
5. Distributive property, factoring out a GCF, and adding like terms.
- The distributive property appears first in 6th grade without variables (whole numbers). CCSSM: 6.NS.4 In 7th grade it is extended to rational numbers but still without variables CCSSM: 7.NS.2.
- In 8th grade the distributive property is used with variables for expanding expressions and collecting like terms. CCSSM: 8.EE.7
6. Solve multi-step equations. CCSSM: 7.EE4a
7. Factor difference of squares and trinomials (and be aware that the difference of cubes, the sum of cubes, and 4 terms can be factored).
8. Simplifying square roots and adding like terms.
9. Solve quadratic equations with no x1 term and by factoring.
10. Solve quadratic equations by using the quadratic formula.