5+: Unit 1
Rates, Ratios, and Proportions
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
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
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)