Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Assessed with:
MAFS.912.ASSE.2.3
Related Courses
Related Access Points
Related Resources
Formative Assessments
Lesson Plans
Original Student Tutorials
ProblemSolving Tasks
Unit/Lesson Sequence
MFAS Formative Assessments
Students are asked to find the width of a rectangle whose area and length are given as polynomials.
Students are asked to rewrite quadratic expressions and identify parts of the expressions.
Students are asked to identify equivalent quadratic expressions and to name the form in which each expression is written.
Students are asked to rewrite numerical expressions to find efficient ways to calculate.
Original Student Tutorials Mathematics  Grades 912
Learn how to factor quadratic polynomials that follow special cases, difference of squares and perfect square trinomials, in this interactive tutorial.
This is part 2 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1
 Part 2: Factoring Polynomials Using Special Cases (Current Tutorial)
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
 Part 5: Multistep Factoring: Quadratics
Learn to factor quadratic trinomials when the coefficient a does not equal 1 by using the Snowflake Method in this interactive tutorial.
This is part 4 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1
 Part 2: Factoring Polynomials Using Special Cases
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method (Current Tutorial)
 Part 5: Multistep Factoring: Quadratics
Learn how to factor quadratic polynomials when the leading coefficient (a) is not 1 by using the box method in this interactive tutorial.
This is part 3 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1
 Part 2: Factoring Polynomials Using Special Cases
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method (Current Tutorial)
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
 Part 5: Multistep Factoring: Quadratics
Learn how to use multistep factoring to factor quadratics in this interactive tutorial.
This is part 5 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1
 Part 2: Factoring Polynomials Using Special Cases
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
 Part 5: Multistep Factoring: Quadratics (current tutorial)
Learn how to solve rational functions by getting common denominators in this interactive tutorial.
Learn how to factor quadratics when the coefficient a = 1 using the diamond method in this game showthemed, interactive tutorial.
This is part 1 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1 (Current Tutorial)
 Part 2: Factoring Polynomials Using Special Cases
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
 Part 5: Multistep Factoring: Quadratics
Student Resources
Original Student Tutorials
Learn how to use multistep factoring to factor quadratics in this interactive tutorial.
This is part 5 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1
 Part 2: Factoring Polynomials Using Special Cases
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
 Part 5: Multistep Factoring: Quadratics (current tutorial)
Type: Original Student Tutorial
Learn to factor quadratic trinomials when the coefficient a does not equal 1 by using the Snowflake Method in this interactive tutorial.
This is part 4 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1
 Part 2: Factoring Polynomials Using Special Cases
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method (Current Tutorial)
 Part 5: Multistep Factoring: Quadratics
Type: Original Student Tutorial
Learn how to factor quadratic polynomials when the leading coefficient (a) is not 1 by using the box method in this interactive tutorial.
This is part 3 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1
 Part 2: Factoring Polynomials Using Special Cases
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method (Current Tutorial)
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
 Part 5: Multistep Factoring: Quadratics
Type: Original Student Tutorial
Learn how to factor quadratics when the coefficient a = 1 using the diamond method in this game showthemed, interactive tutorial.
This is part 1 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1 (Current Tutorial)
 Part 2: Factoring Polynomials Using Special Cases
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
 Part 5: Multistep Factoring: Quadratics
Type: Original Student Tutorial
Learn how to solve rational functions by getting common denominators in this interactive tutorial.
Type: Original Student Tutorial
Learn how to factor quadratic polynomials that follow special cases, difference of squares and perfect square trinomials, in this interactive tutorial.
This is part 2 in a fivepart series. Click below to open the other tutorials in this series.
 Part 1: The Diamond Game: Factoring Quadratics when a = 1
 Part 2: Factoring Polynomials Using Special Cases (Current Tutorial)
 Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
 Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
 Part 5: Multistep Factoring: Quadratics
Type: Original Student Tutorial
ProblemSolving Tasks
Solving this problem with algebra requires factoring a particular cubic equation (the difference of two cubes) as well as a quadratic equation. An alternative solution using prime numbers and arithmetic is presented.
Type: ProblemSolving Task
This is a standard problem phrased in a nonstandard way. Rather than asking students to perform an operation, expanding, it expects them to choose the operation for themselves in response to a question about structure. Students must understand the need to transform the factored form of the quadratic expression (a product of sums) into a sum of products in order to easily see a, the coefficient of the x^{2} term; k, the leading coefficient of the x term; and n, the constant term.
Type: ProblemSolving Task
In this task students interpret the relative size of variable expressions involving two variables in the context of a real world situation. All given expressions can be interpreted as quantities that one might study when looking at two animal populations.
Type: ProblemSolving Task
This resource involves simplifying algebraic expressions that involve complex numbers and various algebraic operations.
Type: ProblemSolving Task
Parent Resources
ProblemSolving Tasks
Solving this problem with algebra requires factoring a particular cubic equation (the difference of two cubes) as well as a quadratic equation. An alternative solution using prime numbers and arithmetic is presented.
Type: ProblemSolving Task
This is a standard problem phrased in a nonstandard way. Rather than asking students to perform an operation, expanding, it expects them to choose the operation for themselves in response to a question about structure. Students must understand the need to transform the factored form of the quadratic expression (a product of sums) into a sum of products in order to easily see a, the coefficient of the x^{2} term; k, the leading coefficient of the x term; and n, the constant term.
Type: ProblemSolving Task
In this task students interpret the relative size of variable expressions involving two variables in the context of a real world situation. All given expressions can be interpreted as quantities that one might study when looking at two animal populations.
Type: ProblemSolving Task
This resource involves simplifying algebraic expressions that involve complex numbers and various algebraic operations.
Type: ProblemSolving Task