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Solving Two-Step Equations: Integrating Manipulatives and NUA Strategies Algeblocks ®  Lab 9-6 (High School) Lab 6-5 (Middle School)
Objective: To solve equations requiring two or more steps. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Community Builder:  Four Corners ,[object Object],[object Object],[object Object],[object Object],[object Object]
Flow Map:  Agenda Exit Survey Reflection Activity: Flow Maps Teach the Lesson: Algeblocks ® Problem of the Day (POD) Flow Map: Agenda Activity: List-Group-Label Community Builder:   4 Corners
Introducing the Lesson (Problem of the Day) ,[object Object],[object Object],[object Object],[object Object],- - + = +
Step 1 :  Set-up the Equation 2x – 5 = 3 - - + = +
Step 2 :  Add the same number of blocks to each side to make zero pairs. 2x – 5 = 3 - - + = +
Step 3 :  Remove Zero Pairs from both sides (if needed). 2x – 5 = 3 - - + = +
Step 4 :  Ask, “How many x’s are there?” Answer:  ____ Divide unit blocks into ___ groups. - - + = +
Flow Map Activity ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Flow Maps:  One-step Equations Words Symbolic Record the answer Remove zero pairs Add the same number to each side to make zero pairs Write/draw/model the equation X = -2 X = 1 + (-3) 3 + x = 1 (+) -3  =-3 3 + x = 1
Flow Maps:  One-step Equations Words Symbolic Record the answer Remove all but  ONE  grop from  EACH  side. Ask:  “How many “x’s?” Divide  (unit blocks/tallies) by the answer. Write/draw/model the equation X = 4 4x  =  16 4  4 There are 4 x’s 4x = 16
Exit Survey ,[object Object],[object Object]
 

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Solving Two Step Equations

  • 1. Solving Two-Step Equations: Integrating Manipulatives and NUA Strategies Algeblocks ® Lab 9-6 (High School) Lab 6-5 (Middle School)
  • 2.
  • 3.
  • 4. Flow Map: Agenda Exit Survey Reflection Activity: Flow Maps Teach the Lesson: Algeblocks ® Problem of the Day (POD) Flow Map: Agenda Activity: List-Group-Label Community Builder: 4 Corners
  • 5.
  • 6. Step 1 : Set-up the Equation 2x – 5 = 3 - - + = +
  • 7. Step 2 : Add the same number of blocks to each side to make zero pairs. 2x – 5 = 3 - - + = +
  • 8. Step 3 : Remove Zero Pairs from both sides (if needed). 2x – 5 = 3 - - + = +
  • 9. Step 4 : Ask, “How many x’s are there?” Answer: ____ Divide unit blocks into ___ groups. - - + = +
  • 10.
  • 11. Flow Maps: One-step Equations Words Symbolic Record the answer Remove zero pairs Add the same number to each side to make zero pairs Write/draw/model the equation X = -2 X = 1 + (-3) 3 + x = 1 (+) -3 =-3 3 + x = 1
  • 12. Flow Maps: One-step Equations Words Symbolic Record the answer Remove all but ONE grop from EACH side. Ask: “How many “x’s?” Divide (unit blocks/tallies) by the answer. Write/draw/model the equation X = 4 4x = 16 4 4 There are 4 x’s 4x = 16
  • 13.
  • 14.