## Coherence in Algebra

The Common Core State Standards call for three important instructional shifts in mathematics:

- Greater focus on fewer topics,
- Coherence: Linking topics and thinking across grades, and
- Rigor: Blending of conceptual understanding, procedural fluency, and application.

The videos in this collection, which supports the findings of the National Mathematics Advisory Panel, set up the importance of approaching the topic of Algebra as a whole, give an example of how to make connections through an experience with linear equations, and explore classroom tasks that apply and extend studentsâ€™ understanding of linear equations. The materials for the classroom tasks are available.

## A Coherent Algebra Framework

Hung-Hsi Wu, a professor of mathematics at UC Berkeley, discusses the importance of seeing algebra as a whole rather than a collection of isolated facts and shortcuts to be memorized.

## Helping All Students Learn Algebra

An eighth-grade algebra teacher talks about how he builds skills necessary for algebra concurrently with the teaching of algebra standards.

## Linear Mingle

A task for students to match graphs, equations, words and data, so students can make the connections between the different representations.

## Linear Graph Back to Back

A task to support the understanding and language of graphs. Students sit back to back and one student describes a graph while the other draws it and then they compare it with the given graph.

## Problem Solving in Algebra

A secondary teacher has students connect their knowledge of polynomials and equations of lines to solve problems in context. Linked with *Assignment: Problem Solving*.

## Assignment: Problem Solving

This assignment is designed to give students practice using polynomials to create graphic design. Linked to *Problem Solving in Algebra*.