# Lesson Plans

## Overview

Math-enhanced CTE lessons are written only after CTE and math teacher teams work together to develop a curriculum map that identifies the CTE concepts and intersecting math concepts that are naturally embedded within the CTE curriculum. Once the map is complete, the CTE and math teacher teams, working in communities of practice, select from within it one or more CTE concepts and related math concepts to develop into CTE lesson plans. The Math-in-CTE model’s seven-element pedagogic framework (PDF) guides this lesson development process. When the lessons are complete, the CTE teachers create scope and sequence plans for integrating the lessons into their courses.

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## Architecture and Construction: Stair Construction Stair Construction is a sample Architecture and Construction lesson created by a CTE and math teacher team from Colorado. The lesson’s objective is to prepare students to design a stair layout and then build a set of stairs using the constraints for building projects within the architecture and construction field. The CTE concept taught in this lesson is stair layout and construction. Math concepts include measurement, slope, estimation, and tolerances.

## Business Management and Administration: Compound Interest - A Millionaire's Best Friend Compound Interest – A Millionaire’s Best Friend is a sample Business lesson created by a CTE and math teacher team from Missouri. The lesson’s objective is help students understand the effects of compound interest over time by comparing a variety of investments and calculating compound interest using various rates of return. The CTE concepts taught in this lesson are compound interest, types of investments, opportunity cost, and diversification. Math concepts include percentages, ratio, comparing, exponential functions, graphing, rounding, order of operations, estimating, formulas, and charting.

## Finance: Depreciation (Double Declining) Depreciation (Double Declining) is a sample Finance lesson created by a CTE and math teacher team from Iowa. The lesson’s objective is to teach students to calculate depreciation expense and book value using double declining balance methods and compare the outcome to straight line depreciation. The CTE concepts taught in this lesson are depreciation (double declining) and book value. This lesson uses only full-year depreciation and assumes that students have mastered straight line depreciation. Math concepts include formulas, decimals, percentages, exponential decay, and linear relationships.

## Health Science: Back to Basics Back to Basics is a sample Health Science lesson created by a CTE and math teacher team from Missouri. The lesson’s objective is to teach students how to make conversions between metric and U.S. standard measurements and the apothecary system of measurements used in the healthcare field. The CTE concept taught in this lesson is medical math—in particular, unit conversions. Math concepts include unit conversions, ratios, proportions, and exponents.

## Hospitality and Tourism 1: Safety and Sanitation Safety and Sanitation is a sample Hospitality and Tourism (Culinary) lesson created by a CTE and math teacher team from Detroit, MI. The lesson’s objective is to help students develop an understanding of bacterial growth and the effect different temperatures have on bacteria. The CTE concepts taught in this lesson are safety and sanitation. Math concepts include tables, graphs, growth rate (exponential growth), and patterns.