Description
The activity includes 5 different algebraic equations that have been solved incorrectly.In each problem a common mistake that students often make is revealed.
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Students are expected to …
✔️correctly solve the algebraic equation
✔️ explain in complete sentences where the original solution went wrong
✔️ identify the rule or trick to remember to avoid making the same mistake in the future
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There are several instructional approaches that can be utilized with this set. Some possibilities are…
(1) students solve all 5 problems independently or in groups
(2) students select a set number of problems to solve independently or in groups
(3) students can be asked to present one of the problems
(4) students can each be assigned one problem and then meet in a group to share answers with their group members to eventually have all 5 problems completed
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CCSS Aligned
Primary standard assessed:
CCSS Math 7.EE.B.4.A: Solve word problems leading to equations of the form px + q = r and p(x+q) = r, where p, q and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
CCSS MP1: Make sense of problems and persevere in solving them.
CCSS MP3: Construct viable arguments and critique the reasoning of others.
Pre-requisite standards:
CCSS Math 7.NS.A.1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line.
CCSS Math 7.NS.A.1.D: Apply properties of operations as strategies to add and subtract rational numbers
CCSS Math 7.NS.A.2: Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.
CCSS Math 6.EE.A.3: Apply the properties of operations to generate equivalent expressions.
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Answer key is included
Highlights
Description
The activity includes 5 different algebraic equations that have been solved incorrectly.In each problem a common mistake that students often make is revealed.
--------------------------------------------------------------------------------------------------------------------------
Students are expected to …
✔️correctly solve the algebraic equation
✔️ explain in complete sentences where the original solution went wrong
✔️ identify the rule or trick to remember to avoid making the same mistake in the future
--------------------------------------------------------------------------------------------------------------------------
There are several instructional approaches that can be utilized with this set. Some possibilities are…
(1) students solve all 5 problems independently or in groups
(2) students select a set number of problems to solve independently or in groups
(3) students can be asked to present one of the problems
(4) students can each be assigned one problem and then meet in a group to share answers with their group members to eventually have all 5 problems completed
--------------------------------------------------------------------------------------------------------------------------
CCSS Aligned
Primary standard assessed:
CCSS Math 7.EE.B.4.A: Solve word problems leading to equations of the form px + q = r and p(x+q) = r, where p, q and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
CCSS MP1: Make sense of problems and persevere in solving them.
CCSS MP3: Construct viable arguments and critique the reasoning of others.
Pre-requisite standards:
CCSS Math 7.NS.A.1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line.
CCSS Math 7.NS.A.1.D: Apply properties of operations as strategies to add and subtract rational numbers
CCSS Math 7.NS.A.2: Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.
CCSS Math 6.EE.A.3: Apply the properties of operations to generate equivalent expressions.
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Answer key is included
Reviews
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There are full math lesson plan resources available that include slide decks, guided notes, do nows, exit tickets, practice sets and homework assignments that all match and include answer keys.
Additionally, you will find Error Analysis, Math Jokes, Self-checking google sheet activities and Google Slide drag & drop activities.
