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.
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Lesson Plans
Original Student Tutorials
Problem-Solving Tasks
Tutorials
STEM Lessons - Model Eliciting Activity
Sticks and Stones May Break My Bones is a model-eliciting activity that asks teams of students to work as forensic anthropologists and use equations to determine the height and gender of persons to whom a series of newly discovered bones may belong.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
Original Student Tutorials Mathematics - Grades 9-12
Learn how to solve rational linear and quadratic equations using cross multiplication in this interactive tutorial.
Learn how to solve rational functions by getting common denominators in this interactive tutorial.
Student Resources
Original Student Tutorials
Learn how to solve rational functions by getting common denominators in this interactive tutorial.
Type: Original Student Tutorial
Learn how to solve rational linear and quadratic equations using cross multiplication in this interactive tutorial.
Type: Original Student Tutorial
Problem-Solving Tasks
In order to engage this task meaningfully, students must be aware of the convention that va for a positive number a refers to the positive square root of a. The purpose of the task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one.
Type: Problem-Solving Task
The purpose of this task is to continue a crucial strand of algebraic reasoning begun at the middle school level (e.g, 6.EE.5). By asking students to reason about solutions without explicitly solving them, we get at the heart of understanding what an equation is and what it means for a number to be a solution to an equation. The equations are intentionally very simple; the point of the task is not to test technique in solving equations, but to encourage students to reason about them.
Type: Problem-Solving Task
The purpose of this task is to provide an opportunity for students to reason about equivalence of equations. The instruction to give reasons that do not depend on solving the equation is intended to focus attention on the transformation of equations as a deductive step.
Type: Problem-Solving Task
Tutorials
This video will demonstrate how to simplify square roots involving variables.
Type: Tutorial
This video will demonstrate how to solve radical equations with additional practice problems.
Type: Tutorial
Parent Resources
Problem-Solving Tasks
In order to engage this task meaningfully, students must be aware of the convention that va for a positive number a refers to the positive square root of a. The purpose of the task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one.
Type: Problem-Solving Task
The purpose of this task is to continue a crucial strand of algebraic reasoning begun at the middle school level (e.g, 6.EE.5). By asking students to reason about solutions without explicitly solving them, we get at the heart of understanding what an equation is and what it means for a number to be a solution to an equation. The equations are intentionally very simple; the point of the task is not to test technique in solving equations, but to encourage students to reason about them.
Type: Problem-Solving Task
The purpose of this task is to provide an opportunity for students to reason about equivalence of equations. The instruction to give reasons that do not depend on solving the equation is intended to focus attention on the transformation of equations as a deductive step.
Type: Problem-Solving Task