TPT
Total:
$0.00

Combining Like Terms to Simplify Expressions; Error Analysis

Rated 4.82 out of 5, based on 22 reviews
4.8 (22 ratings)
5,830 Downloads
;
Math Maddenness
83 Followers
Grade Levels
6th - 8th, Homeschool
Subjects
Standards
Formats Included
  • PDF
Pages
14 pages
Math Maddenness
83 Followers

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.A.1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

CCSS Math.MP1: Make sense of problems and persevere in solving them.

CCSS Math.MP3: Construct viable arguments and critique the reasoning of others.

Pre-requisite standards:

CCSS Math.6.EE.A.3: Apply the properties of operations to generate equivalent expressions.

CCSS Math 6.EE.A.4: Identify when two expressions are equivalent.

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.C: Apply properties of operations as strategies to multiply and divide rational numbers.

--------------------------------------------------------------------------------------------------------------------------

Answer key is included

Total Pages
14 pages
Answer Key
Included
Teaching Duration
45 minutes
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT’s content guidelines.

Standards

to see state-specific standards (only available in the US).
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.
Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and-if there is a flaw in an argument-explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.

Reviews

Questions & Answers

83 Followers