ALEX Learning Activity

  

Adding and Subtracting Polynomials: Crossword

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

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  This learning activity provided by:  
Author: Kristy Lacks
System:Marshall County
School:Douglas High School
  General Activity Information  
Activity ID: 2650
Title:
Adding and Subtracting Polynomials: Crossword
Digital Tool/Resource:
Adding and Subtracting Polynomials Vocabulary Crossword
Web Address – URL:
Overview:

At the beginning of a lesson on adding and subtracting polynomials, the students will complete a vocabulary crossword to build their vocabulary content knowledge.

This resource was created as a result of the ALEX Resource Development Summit.
  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 9-12
Algebra I with Probability
7. Add, subtract, and multiply polynomials, showing that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Use the repeated reasoning from prior knowledge of properties of arithmetic on integers to progress consistently to rules for arithmetic on polynomials.
  • Accurately perform combinations of operations on various polynomials.
Teacher Vocabulary:
  • Polynomials
  • Closure
  • Analogous system
Knowledge:
Students know:
  • Corresponding rules of arithmetic of integers, specifically what it means for the integers to be closed under addition, subtraction, and multiplication, and not under division.
  • Procedures for performing addition, subtraction, and multiplication on polynomials.
Skills:
Students are able to:
  • Communicate the connection between the rules for arithmetic on integers and the corresponding rules for arithmetic on polynomials.
  • Accurately perform combinations of operations on various polynomials.
Understanding:
Students understand that:
  • There is an operational connection between the arithmetic on integers and the arithmetic on polynomials.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
ALGI.7.1: Combine like terms of a given expression
ALGI.7.2: Define monomial, term, binomial, trinomial and polynomial.
ALGI.7.3: Multiply polynomial expressions (quadratic).
ALGI.7.4: Multiply polynomial expressions (linear).
ALGI.7.5: Subtract polynomial expressions.
ALGI.7.6: Add polynomial expressions.
ALGI.7.7: Use order of operations to evaluate and simplify algebraic and numerical expressions.
ALGI.7.8: Identify the terms in a polynomial expressions.
ALGI.7.9: Explain the distributive property.

Prior Knowledge Skills:
  • Identify properties of exponents.
  • Give examples of the properties of operations including distributive, commutative, and associative.
  • Recall how to find the greatest common factor.
  • Combine like terms of a given expression.
  • Recognize the property demonstrated in a given expression.
  • Simplify expressions with parentheses (Ex. 5(4 + x) = 20 + 5x).
  • Simplify an expression by dividing by the greatest common factor (Ex. 18x + 6y= 6(3x + y).
  • Define linear expression, rational, coefficient, and rational coefficient.
  • Combine terms that are alike of a given expression.
Learning Objectives:

Students will identify key vocabulary that is a prerequisite to adding and subtracting polynomials.
  Strategies, Preparations and Variations  
Phase:
Before/Engage
Activity:

  1. To begin the activity, the teacher will distribute the Adding and Subtracting Polynomials Crossword to each student.

  2. The students will use their textbooks to help them find the words for the crossword hints.

  3. The teacher will set a timer for ten minutes.  

  4. After ten minutes, the teacher will need to put a copy of the crossword on the board and the teacher and the students will complete this together.

  5. The teacher will need to enforce or explain any words and definitions that the students struggled with during the review of the crossword.
Assessment Strategies:

The teacher will assess student content understanding by completing the crossword on the board as a group to identify the vocabulary that is a prerequisite to adding and subtracting polynomials. 
Advanced Preparation:

The teacher would need to print enough Adding and Subtracting Polynomials Crosswords for the class.

The teacher will need to point out that answers with two words should have an empty space on the crossword between words. 
Variation Tips (optional):

The teacher may choose to allow more or less time as is available.  The teacher may choose to allow the students to grade their own assignments as it is covered on the board.  The teacher may allow students to work in pairs to help each other with the crossword. 

The lesson could also be used as an after-activity to reinforce the lesson's vocabulary.
Notes or Recommendations (optional):

ALCOS 2019

Alg I 7). Add, subtract, and multiply polynomials, showing that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.
  Keywords and Search Tags  
Keywords and Search Tags: add, difference, like terms, polynomials, subtract, sum, terms