AL01 Solving Equations (form aX = c )
AL02 Solving Equations (form X/a= c )
AL13 Solving Equations (form a/X= c )
AL14 Solving Equations (form ax + b = c )
AL16 Solving Equations by Addition and Subtraction 1
AL18 Solving Equations by Addition and Subtraction 2
AL17 Solving Equations by Multiplication and Division 1
AL19 Solving Equations by Multiplication and Division 2
EQ01 Solving Equations with variables on both sides 1
EQ02 Solving Equations with variables on both sides 2
EQ03 Solving Equations with variables on both sides 3
EQ04 Solving Equations with variables on both sides 4
EQ05 Solving Equations with variables on both sides 5
EQ07 Slope 2 point
EQ14 Find k and the missing values in the ratio tables
AL50 Solving a Second-Grade Equation
FOUR PHASES IN SOLVING A PROBLEM,
From the book: How To Solve It, George Polya, 1945
(1) Understand the problem
- What are the data?
- What is the unknown?
- Is there enough information to enable you to find a solution?
- Can you restate the problem in your own words?
(2) Devise a plan.
- Do you know a related problem?
- Look for a pattern
- Use a model
- Work backwards
- Use a formula
- Use direct reasoning
(3) Try It
- Carrying out your plan of the solution.
- Can you prove that it is correct?
(4) Look Back
- Examine the solution obtained.
- Does your answer make sense?
- Is it reasonable?
- Can you check the result?
- If you missed something check your plan and try the problem again.
Sequence. Is a set of numbers in which the numbers have a prescribed order.
10, 15, 20, 25, …
10, 20, 40, 80, …
Pattern. A design (geometric) or sequence (numeric or algebraic) that is predictable because some aspect of it repeats
EQ06 Function Tables (Find Slope)
EQ07 Slope (from 2 points)
EQ08 Slope given 2 points
EQ09 Slope from equation