5+: Unit 1

Rates, Ratios, and Proportions


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

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


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

Kid Friendly Mathematical Posters - Color 2[1].pdf
Students The Eight Mathematical Practices (2).pdf


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 b if for every a units of the first quantity there are b units of the second quantity

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