Kristen Lopez.Solving Two Step Equations
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Transcript of Kristen Lopez.Solving Two Step Equations
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. Materials:
Algeblocks® (x blocks and unit blocks) Sentence mat Colored cubes (4 different colors) Envelopes with various equations (one
and two-steps) Flow Maps with steps for solving
equations Post-its (Exit Survey)
Community Builder: Four Corners
Preset the 4 corners in the room (sports, color, number, season, etc.)
Ask a question to get students to the corners (i.e. What is your favorite color?)
Give directions for task (List-Group-Label) Ask another question to move groups to
new corners (i.e. What operation do you feel the most like today? Why?)
Reflection
Flow Map: Agenda
Community Builder:
4 Corners
Activity:List-Group-
Label
Flow Map:
Agenda
Problem of the Day
(POD)
Teach the Lesson:
Algeblocks®
Activity:Flow Maps
Reflection
Exit Survey
Introducing the Lesson(Problem of the Day)
1. X – 3 = -82. x = -5
3. -4x = -12How many “x’s”?Divide into ___
groups.1. -x = -32. X = +3
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Step 1: Set-up the Equation2x – 5 = 3
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Step 2: Add the same number of blocks to each side to make zero
pairs.2x – 5 = 3
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Step 3: Remove Zero Pairs from both sides (if needed).
2x – 5 = 3+
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Step 4: Ask, “How many x’s are there?”
Answer: ____Divide unit blocks into ___ groups.
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Flow Map Activity Model of One-Step Equations
Concrete Pictorial Symbolic Create Flow Maps of Two-Step
Equations Concrete,Pictorial, and Symbolic
Remember left to right One step per box Arrows in between each box
Flow Maps: One-step Equations
WordsSymbolic
Model the
equation
Add the same number to
each side to make zero
pairs
Remove zero pairs
Record the
answer
3 + x = 1 3 + x = 1
(+) -3 =-3X = 1 + (-3) X = -2
Flow Maps: One-step Equations
WordsSymbolic
Model the
equation
Ask: “How many “x’s?”Divide (unit
blocks) by the answer.
Remove all but ONE group from EACH
side.
Record the
answer
4x = 16There are 4
x’s 4x = 164 4
X = 4
Exit Survey
Solve the following equation on an index card. Remember to put your name at the top:
3x + 7 = -20
Model the equation
Add the same number of unit blocks to each side of
the mat.
Remove Zero Pairs from each side of the
mat.
Count unit blocks left and record your
answer.
Model the equation on the sentence mat.
Ask: “How many “x’s?”Divide (unit blocks) by
the answer.
Remove all but ONE group of blocks from
EACH side.
Count the number of unit blocks and record the
answer.
3 + x = 1
3 + x = 1 (+) -3 -3
3 + x = 1 (+) -3 -3 x = -2
3 + x = 1 x = -2
4x = 16
4x = 16 4 4
4x = 16 4 4
4x = 16 x = 4