MATH 8 - UNIT 1: Linear Relationships

Khan Academy: 

Numbers and operations / Solving equations with one unknown 

Algebra Foundations / Solving Equations / Solving Inequalities

Working with Units / Linear equations and functions  

Linear Equations & Graphs / Functions / Absolute Value 

IXL: 

1. H.1 Properties of addition and multiplication
2. H.2 Distributive property
3. H.3 Simplify variable expressions using properties
4. H.4 Properties of equality
5. I.1 Wr ite variable expressions
6. I.2 Simplify variable expressions involving like terms and the distributive property
7. I.3 Identify equivalent linear expressions
8. I.4 Write variable equations
9. I.5 Does x satisfy the equation?
10. I.6 Which x satisfies an equation?
11. I.7 Solve equations using order of operations
12. I.8 Rearrange multi-variable equations
13. J.1 Model and solve equations using algebra tiles
14. J.2 Write and solve equations that represent diagrams
15. J.3 Solve one-step linear equations
16. J.4 Solve two-step linear equations
17. J.5 Solve advanced linear equations
18. J.6 Solve equations with variables on both sides
19. J.7 Solve equations: complete the solution
20. J.8 Find the number of solutions
21. J.9 Create equations with no solutions or infinitely many solutions
22. J.10 Solve linear equations: word problems
23. J.11 Solve linear equations: mixed review
24. K.1 Graph inequalities
25. K.2 Write inequalities from graphs
26. K.3 Identify solutions to inequalities
27. K.4 Solve one-step linear inequalities: addition and subtraction
28. K.5 Solve one-step linear inequalities: multiplication and division
29. K.6 Solve one-step linear inequalities
30. K.7 Graph solutions to one-step linear inequalities
31. K.8 Solve two-step linear inequalities
32. K.9 Graph solutions to two-step linear inequalities
33. K.10 Solve advanced linear inequalities
34. K.11 Graph solutions to advanced linear inequalities
35. K.12 Graph compound inequalities
36. K.13 Write compound inequalities from graphs
37. K.14 Solve compound inequalities
38. K.15 Graph solutions to compound inequalities
39. L.1 Solve absolute value equations
40. L.2 Graph solutions to absolute value equations
41. L.3 Solve absolute value inequalities
42. L.4 Graph solutions to absolute value inequalities
43. Q.1 Relations: convert between tables, graphs, mappings, and lists of points
44. Q.2 Domain and range of relations
45. Q.3 Identify independent and dependent variables
46. Q.4 Identify functions
47. Q.5 Identify functions: vertical line test
48. Q.6 Find values using function graphs
49. Q.7 Evaluate a function
50. Q.8 Evaluate a function: plug in an expression
51. Q.9 Complete a function table from a graph
52. Q.10 Complete a function table from an equation
53. Q.11 Interpret the graph of a function: word problems
54. R.1 Identify proportional relationships
55. R.2 Find the constant of variation
56. R.3 Graph a proportional relationship
57. R.4 Write direct variation equations
58. R.5 Write and solve direct variation equations
59. R.6 Identify direct variation and inverse variation
60. R.7 Write inverse variation equations
61. R.8 Write and solve inverse variation equations
62. DD.1 Complete a function table: absolute value functions
63. DD.2 Graph an absolute value function
64. DD.3 Domain and range of absolute value functions: graphs
65. DD.4 Domain and range of absolute value functions: equations
66. DD.5 Transformations of absolute value functions

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Rational and Irrational Numbers

Lesson 1: Rational numbers on the number line

Lesson 2: Grasshopper obstacle course

Lesson 3: Understanding that repeating decimals represent fractions

Lesson 4: Practice converting repeating decimals into fractions

Lesson 5: Finding irrational side lengths of squares

Lesson 6: Solving equations of the form x^2 = p and x^3 = p with rational and irrational roots

Lesson 7: Is there enough fence?

Lesson 8: Locating irrational numbers and expressions on the number line

Lesson 9: Practice estimating the value of irrational numbers

Lesson 10: Using irrational numbers as distances

Solving linear equations

Lesson 1: Understand that linear equations in one variable may have one solution, no solution, or infinitely many solutions

Lesson 2: Solve linear equations in one variable with no solution, one solution, or infinitely many solutions

Lesson 3: Solve word problems by writing and solving equations

Lesson 4: Solve equations by writing a succession of equivalent equations

Lesson 5: Solve and identify equations with no solution, one solution, or infinitely many solutions

Lesson 6: Write equations that have no solution, one solution, or infinitely many solutions

Lesson 7: Understand that properties of operations hold for expressions

Lesson 8: Use properties to solve equations in a variety of ways

Lesson 9: Solve equations in which the same operations are performed in a different order

Lesson 10: Write real-world word problems from a given equation

Functions

Lesson 1: Develop the definition of a function

Lesson 2: Identify a relation as a function from various representations

Lesson 3: Creating a database: define functions

Lesson 4: Ashley's bike ride: understand and describe the behavior of functions

Lesson 5: Describe the behavior of a function given in various forms

Lesson 6: Practice creating a qualitative model of a function

Lesson 7: Analyze behavior of a function to solve problems

Lesson 8: Understand that multiple functions can be described qualitatively

Lesson 9: Practice comparing behaviors of functions

Lesson 10: Filling swimming pools: compare behaviors of functions