# Lesson 5: Boolean Operators

## Overview

Using Boolean operators, students will write code that compares values to make logical decisions.

## Agenda

### Getting Started

### Activity

## Anchor Standard

### Common Core Math Standards

**7.EE.4**- Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

## Objectives

### Students will be able to:

- Use Boolean operators to compare values.
- Apply Boolean logic, such as AND, OR, and NOT, to compose complex Boolean comparisons.

## Links

**Heads Up!**Please make a copy of any documents you plan to share with students.

### For the Teacher

- Algebra Boolean Operators - Slide Deck

## Support

### Report a Bug

# Teaching Guide

## Getting Started

### Introduction

Creating some sample boolean expressions - both simple and complex - is an excellent warm-up activity before the puzzle stages. Some examples have been included in the slide deck. The slide deck also has extra practice related to expressions that the students will have seen in the puzzles.

### Student Instructions

Boolean operators (like >, <, =) allow us to compare different values, returning either *true* or *false*. Click "Run" to see how this expression evaluates.

### Student Instructions

Can you set the values so that this expression evaluates as *true*?

### Student Instructions

The `string-length`

function returns the number of characters in a string (including spaces!) - make this code evaluate to *true*.

### Student Instructions

Here's an Evaluation Block called `and`

- it returns *true* if both of its parameters are *true*, otherwise it returns *false*. Edit the x variable so that this expression returns *true*.

### Student Instructions

This `or`

block returns *true* if either of its parameters is *true*. Otherwise, if both parameters are *false* it will return *false*. Set the y variable to a value that will cause this expression to return *false*.

### Student Instructions

Here's one more boolean block called `not`

. This block flips *true* to *false*, or *false* to *true*. If you wrap this block of code in a NOT block, it should return *true* (because we are asking if the two expressions do NOT produce equal values).

### Student Instructions

### Student Instructions

### Student Instructions

### Student Instructions

Free Play: Try out some creations of your own using Booleans.

## Standards Alignment

#### View full course alignment

#### Common Core Math Standards

**EE** - Expressions And Equations

**6.EE.9**- Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent va**7.EE.4**- Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

**F** - Functions

**8.F.1**- Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.1**8.F.2**- Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented

**MP** - Math Practices

**MP.1**- Make sense of problems and persevere in solving them**MP.2**- Reason abstractly and quantitatively**MP.3**- Construct viable arguments and critique the reasoning of others**MP.4**- Model with mathematics**MP.5**- Use appropriate tools strategically**MP.6**- Attend to precision**MP.7**- Look for and make use of structure**MP.8**- Look for and express regularity in repeated reasoning

**NS** - The Number System

**6.NS.8**- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

**OA** - Operations And Algebraic Thinking

**5.OA.1**- Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.**5.OA.2**- Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three t

**Q** - Quantities

**N.Q.1**- Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.**N.Q.2**- Define appropriate quantities for the purpose of descriptive modeling.