Algebra Team: Overview of Teaching Styles

Grades 6-8 / Math / Factoring
CCSS: Math.Practice.MP1 Math.A-SSE.3a

Common Core State Standards




Mathematical Practice Standards


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.

Download Common Core State Standards (PDF 1.2 MB)

Common Core State Standards




Algebra - Seeing Structure in Expressions


Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

a. Factor a quadratic expression to reveal the zeros of the function it defines.

b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

Download Common Core State Standards (PDF 1.2 MB)
Lesson Objective
See a co-planned lesson unfold in two different classes (1 of 4)
10 min
Questions to Consider
How has the two teachers collaboration impacted their algebra program?
How does the warm-up prepare students for the lesson?
How do students "tiger up" and learn that struggle is a good thing?
Support Materials Below
Transcript, worksheets and more

Supporting Materials

  • Please sign in or sign up to download Supporting Materials
  • Algebra Team Factoring Homework Assignment

  • Worksheet for Area of a Rectangle

  • The Rectangle Diamond Method for Factoring Trinomials

  • Algebra Team Factoring Lesson Plan

  • Transcript for Algebra Team: Overview

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