# The Craft of Word Problems

## CONTENTS OF CURRICULUM UNIT 04.05.01

- Narrative
- Place Value
- Addition and Subtraction (within 10)
- Fact Families
- Addition and Subtraction (within 20)
- Addition and Subtraction with and without regrouping
- Strategies for solving problems
- Lesson 1
- Lesson 2
- Lesson 3
- Lesson 4
- Lesson 5
- Lesson 6
- In the Future
- Mathematics Standards
- Bibliography for Teachers and Students

### Unit Guide

## The Relationship between Addition and Subtraction in Problem Solving

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## Mathematics Standards

New Haven Public Schools has Mathematics Standards for all grade levels. These standards can be found on-line on the New Haven Public Schools website. The standards (PK-4) are related to the Connecticut Mastery Test. There are main “Content Standards” and “Performance Standards” listed as part of the content standards. This unit has touched upon four of the content standards. The standards are as follows:

Content Standard 1.0Number Concepts, Arithmetic, and Operation Concepts

Content Standard 5.0Problem Solving and Mathematical Reasoning

Content Standard 6.0Mathematical Skills and Tools

Content Standard 7.0Mathematical Communication

### Content Standard 1.0

This unit focuses on two performance standards in this content. Performance Standard 1.1 states that students will add and subtract. Students will analyze problems in order to figure out when to add or subtract and relate problems to one another. Performance Standard 1.2 states that students will understand place value and use it to solve problems.

### Content Standard 5.0

This standard focuses on problem solving. Hence, this problem solving unit touches upon all four of the performance standards. Students will use a variety of strategies to solve problems. Students will make connections, explain patterns, and relate problems.

### Content Standard 6.0

This standard focuses on skills and tools. This unit relates to Performance Standard 6.1. Students will use a variety of strategies to solve problems and learn strategies that others use.

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### Content Standard 7.0

In this standard students mathematically communicate. This unit focuses on three of the performance standards in this content. Performance Standard 7.1 states that students use mathematical terms and vocabulary. In Performance Standard 7.2, students show ideas in a variety of ways, including words, numbers, and pictures. And Performance Standard 7.3 states that students will explain solutions to problems orally and written.