Unit 2: Examples of Hands-On Manipulatives in Algebra Topics
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Unit 2 Overview
Examples of Hands-On Manipulatives in Algebra Topics
In the second unit of the mini-course, participants will explore how hands-on manipulatives can be used to strength understanding of various algebra topics, such as adding/subtracting integers, solving two-step questions, multiplying polynomials, and more. The unit ends with participants working in small groups to create a lesson plan for a given algebra topic that incorporates the use of hands-on manipulatives to support mathematical understanding to demonstrate their learning.
Lesson 1: Adding/Subtracting Integers
Lesson 2: Simplifying Expressing
Lesson 3: Solving Equations
Lesson 4: Multiplying Polynomials
Lesson 5: Design Algebra Lesson Plan
Lesson 1: Adding/Subtracting Integers
Task 1 - Directions: Watch the following videos that demonstrate how to use number lines and algebra tiles to add/subtract integers.
Analyze the videos and describe how the use of hands-on manipulatives enhances student learning. Specifically think about how hands-on manipulatives provide advantages over just memorizing the integer rules presented at the beginning of the video. Explain how you may use the information learned from these videos to improve your existing lesson plans (200-300 words). Post your response to the discussion board. Reply to at least one classmate.
Task 2 - Directions: If there are additional hands-on manipulatives that you use in your classroom to support the learning of adding/subtracting integers, please add it to the Slide 1 of the Jamboard using a Sticky Note. This shared list of hands-on manipulatives will continue to grow throughout the mini-course as members keep contributing to the shared space. Refer to the Jamboard at the end of each lesson to get inspiration for new idea of how you can utilize hands-on manipulative in your mathematics classroom.
Lesson 2: Simplifying Expressions
Task 1 - Directions: Watch the following videos that demonstrate how to use algebra tiles to simplify expressions.
Analyze the videos and describe how the use of hands-on manipulatives enhances student learning. Explain how you may use the information learned from these videos to improve your existing lesson plans (200-300 words). Post your response to the discussion board. Reply to at least one classmate.
Task 2 - Directions: If there are additional hands-on manipulatives that you use in your classroom to support the learning of simplifying expressions, please add it to the Slide 2 of the Jamboard using a Sticky Note. This shared list of hands-on manipulatives will continue to grow throughout the mini-course as members keep contributing to the shared space. Refer to the Jamboard at the end of each lesson to get inspiration for new idea of how you can utilize hands-on manipulative in your mathematics classroom.
Lesson 3: Solving Equations
Task 1 - Directions: Watch the following videos that demonstrate how to use scale balances and algebra tiles to solve 2-step equations.
Analyze the videos and describe how the use of hands-on manipulatives enhances student learning. Specifically think about how hands-on manipulatives can help prevent some common misconceptions that students tend to have when first learning this concept. Explain how you may use the information learned from these videos to improve your existing lesson plans (200-300 words). Post your response to the discussion board. Reply to at least one classmate.
Task 2 - Directions: If there are additional hands-on manipulatives that you use in your classroom to support the learning of solving equations, please add it to the Slide 3 of the Jamboard using a Sticky Note. This shared list of hands-on manipulatives will continue to grow throughout the mini-course as members keep contributing to the shared space. Refer to the Jamboard at the end of each lesson to get inspiration for new idea of how you can utilize hands-on manipulative in your mathematics classroom.
Lesson 4: Multiplying Polynomials
Task 1 - Directions: Watch the following video that demonstrate how to use algebra tiles to multiply polynomials.
Multiplying Polynomials with Algebra Tiles
Analyze the videos and describe how the use of hands-on manipulatives enhances student learning. Explain how you may use the information learned from this video to improve your existing lesson plans (200-300 words). Post your response to the discussion board. Reply to at least one classmate.
Task 2 - Directions: If there are additional hands-on manipulatives that you use in your classroom to support the learning of multiplying polynomials, please add it to the Slide 4 of the Jamboard using a Sticky Note. This shared list of hands-on manipulatives will continue to grow throughout the mini-course as members keep contributing to the shared space. Refer to the Jamboard at the end of each lesson to get inspiration for new idea of how you can utilize hands-on manipulative in your mathematics classroom.
Lesson 5: Design Algebra Lesson Plan
Task 1 - Directions: Participants will work in small groups to design an algebra lesson plan centered around using algebra tiles or other hands-on manipulatives to promote mathematical reasoning and greater levels of understanding. Each groups will be assigned one of the following topics for their algebra lesson plan:
- Solving Equations with Variables on Both Sides
- Solving Inequalities
- Types of Solutions
- Systems of Equations (substitution method)
- Systems of Equations (elimination method)
- Factoring Polynomials
Lesson Plan Template - Each lesson plan must include objectives, instructional plan/activities, hands-on manipulatives used, a rationale of how the use hands-on manipulatives was beneficial to student learning.
Task 2 - Directions: If there are additional hands-on manipulatives that you use in your classroom to support the learning of any algebra topic, please add it to the Slide 5 of the Jamboard using a Sticky Note. This shared list of hands-on manipulatives will continue to grow throughout the mini-course as members keep contributing to the shared space. Refer to the Jamboard at the end of each lesson to get inspiration for new idea of how you can utilize hands-on manipulative in your mathematics classroom.
Click here to continue to Unit 3: Examples of Hands-On Manipulatives in Geometry Topics.
References
Applepipproductions. (2011, September 27). Linear Equations - Balancing The Equation [Video]. YouTube. https://www.youtube.com/watch?v=DO-hzLh79uw
Megan MathTeacher Snow. (2020, April 11). See the distributive property with algebra tiles [Video]. YouTube. https://www.youtube.com/watch?v=a8DXpIWb37Q
MooMooMath and Science. (2021, August 15). Adding and Subtracting Integers on a Number line [Video]. YouTube. https://www.youtube.com/watch?v=fVw0wTzfRr8
MrsALovesMath. (2018, December 13). Solving Equations Using Algebra Tiles [Video]. YouTube. https://www.youtube.com/watch?v=Q-0XwhSs_4M
Ms. Riaz Academy. (2020, December 20). Adding Integers with Tiles | Grade 7 | Simple & Easy Method | Math [Video]. YouTube. https://www.youtube.com/watch?v=4rI1eHISZxg
NCETM. (2020, August 25). Using algebra tiles simplifying expressions by collecting like terms [Video]. YouTube. https://www.youtube.com/watch?v=V0w0kZMGH30
NLESD Mathematics. (2015, October 15). Multiplying Binomials using Algebra Tiles [Video]. YouTube. https://www.youtube.com/watch?v=8fWLojB5t0s