For many students who struggle, math shows up as a collection of rules, formulas, and properties that they learn temporarily, forget quickly, and never use again. Students find mathematics meaningless if they don’t see the connections. Prentice Hall Algebra 1, Geometry, Algebra 2 teaches for understanding by incorporating an interwoven strand of thinking and reasoning into problem solving. This connects the math that students learn, from the first lesson to the last. By focusing on thinking, reasoning, and problem solving, students will become more prepared for success in school, in their careers, and in life.

Big Ideas

This program incorporates the groundbreaking Understanding by Design framework. Co-developed by consulting author Grant Wiggins, UbD changes the way students approach math by introducing them first to the Big Idea of each chapter. Within each chapter, students will develop answers to the Essential Questions posed and make connections around the Big Ideas.

• Understanding by Design

Pull It All Together

at the end of each chapter, enables students to demonstrate their understanding of the concepts and skills they studied in the chapter lessons and in previous chapters. In doing so, they apply their reasoning strategies and growth as independent problem solvers.

”A Big Idea is a way of seeing better and working smarter, not just another piece of knowledge.” –Grant Wiggins, consulting author

Problem-solving strategies are an integral part of the program and are embedded throughout each lesson. The worked-out problems model effective thinking and reasoning strategies and can help foster students’ mathematical reasoning.

• Teaching Through Problem Solving
• Randy Charles, program author

Reasoning Call-outs

“Think” and “Plan” call-outs model mathematical reasoning and problem solving for every problem in a lesson. Some reveal “Step Zero,” or the reasoning that goes on before the first step of the solution. Some worked-out problems provide even more support as they model the thinking behind each step of a problem-solving plan.

"Research shows that understanding develops during the process of solving problems in which important math concepts and skills are embedded." –Randy Charles, program author

is about acquiring and communicating information. By presenting concepts visually and through different media, students can understand the importance of a mathematical idea and the context in which it is useful.

• Stuart J. Murphy, Visual Learning Specialist

Visual Learning

Visuals support students as they analyze complex word problems. They clarify important concepts, and they engage students and encourage them to make connections with real-life situations. Visual learning strategies are a powerful teaching tool for a student’s depth of understanding about mathematics.

Connect to What You Know

Visual Instruction increases the learning potential of all students. The Solve It! at the start of each lesson makes use of engaging visuals and real-world examples to help students tap into their prior knowledge and connect it to important concepts in the lesson.

"The visual models in the Student Edition allow students to interact with mathematical concepts, process the information, observe change, reflect on their experiences, modify their thinking, and draw conclusions. They learn." –Stuart J. Murphy, visual instruction consulting author