# 5+: Unit 1

# Rates, Ratios, and Proportions

**Tools**

National Library of Virtual Manipulative: http://nlvm.usu.edu/en/nav/vlibrary.html

**Introduction to Math 5+**

**Lesson 1-1: Factor Puzzles and the Multiplication Table**

Multiplication Table: https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Times-Table/

**Lesson 1-2: Solving Factor Puzzles**

**Lesson 1-3: Rate Situations and Rate Tables**

**Lesson 1-4: Rate Situations and Unit Rate Language**

We have special language that we use to describe **unit rates**. For example,

The rate is 5 dollars * every* day.

The rate is 5 dollars * each* day.

The rate is 5 dollars * per* day

All of these mean that $5 is repeatedly added **1 time a day** over many days. It is a **unit rate **that says $5 for **each 1 day**.

We will be using and practicing this language for many different situations over the next several days. The special language for rate means that the same rate is repeated, that it is a * constant rate*. Many people use rates in their work. For example, a nurse measures a pulse in heartbeats per minute, gasoline is sold at a price in dollars per gallon, and many people are paid a rate per hour.

*-Math Expressions, Teacher Edition pp. 30, 40*

**Lesson 1-5: Unit Rates, Products, and Rate Tables**

This lesson is a review of what has been learned so far. We will practice "scrambling" rate tables; that is, a rate table in which the rows are out of order.

**Lesson 1-6: Unit Pricing**

**Lesson 1-7: Constant Speed**

We review the Rate Situations and graphing our rate table data.

**Lesson 1-8: Ratio as Linked Rates**

**Lesson 1-9: Finding Linked Values in Ratio Tables**

Nice review of what we have covered so far: http://slideplayer.com/slide/3388268/

**Lesson 1-10: Seeing Proportions in Ratio Tables**

**Lesson 1-11: Identify and Solve Proportion Situations**

**Lesson 1-12: Solve Numeric Proportion Problems**

**y to 12 is equal to 5 to 20**

**OR**

**y is to 12 as 5 is to 20**

**Lesson 1-13: Basic Ratio Solution Strategies**

**Lesson 1-14: Write and Solve Proportion Problems**

This lesson is just recapping and reviewing what we have done so far. :)

**Lesson 1-15: Focus on Mathematical Practices**

**REVIEW**

**RATE:** tells how much is used repeatedly in a given situation.

EXAMPLE: For every can of food that I donate, Mrs. Pardington will donate 5 dollars. The rate would be adding 5 dollars for every can.

**RATIO:** two quantities are in the ratio * a* to

*if for every*

**b***units of the first quantity there are*

**a***units of the second quantity*

**b**EXAMPLE: Each pie has 12 ounces of blueberries (so the ratio would be 12 ounces of blueberries to every pie or 12:1)