AIDE Algebra 1 Assignment Guide and Key Points

 

Chapter 7 "Data, Statistics, and Probability"

 

Lesson 1 "Organizing Data"

Turn to Pages 182 Look at the picture on the facing page and predict how it relates to Algebra.

On Page 183 Read the short introduction to Chapter 7

On Page 183 Read the goals you will achieve this chapter.

Scan Page 184-186; focus on the purple colored boxes, which contain the key vocabulary terms.

Read Through Pages 184-186 and take notes of important ideas

Complete 2 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)

Complete 3 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)

(Compare your answers with these. If you missed any do three more from that section until you get them right.)

Do you know the vocabulary words? (See Key Points below for help)

Take the quiz on Lesson 1 "Organizing Data" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)

Review answers on the quiz and print it out. This will be very useful when you are studying for the test.

Read the box on Page 187 about Making a Budget.

 

Lesson 1 Key Points

Vocabulary Terms

Frequency table - a way of showing the count of items or numbers of times in different groups or categories.

Data - information given in numbers.

Stem - and-Leaf Plot - Away of showing place value by separating the data by powers of ten.

Bar Graph - A way of showing how information can be compared using rectangular bars.

histogram - A way of showing the frequency of data using rectangular bars and the area they contain.

 

Section Review Answers

Did you learn these Objectives?

Can you maniplate data for ease of interpretation?

Are you able to create a stem-and-leaf plot, a frequeency table, a histogram, and a bar graph to display data?

Can you compare the types of data displays and analyze their strengths?

 

 

Lesson 2 "Range, Mean, Median, and Mode"

Scan Pages 188-190; focus on the purple colored boxes, which contain the key vocabulary terms.

Read Through Pages 188-190 and work through the four examples (take notes of important ideas)

Complete 2 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)

Complete 1 Problem from Exercise B. (This is for practice you will be graded only on the quiz and tests)

Complete 3 Problems from Exercise C. (This is for practice you will be graded only on the quiz and tests)

Read Through Page 191 at the top and work through the fifth examples (take notes of important ideas)

Complete 3 Problems from Exercise D. (This is for practice you will be graded only on the quiz and tests)

(Compare your answers with these. If you missed any do three more from that section until you get them all right.)

Do you know the vocabulary words? (See Key Points below for help)

Take the quiz on Lesson 2 "Range, Mean, Median, and Mode" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)

Review answers on the quiz and print it out. This will be very useful when you are studying for the test.

 

Lesson 2 Key Points

Vocabulary Terms

Range - the difference between the greatest and least values in a set of data.

Mean - The sum of the values in a set of data divided by the number of pieces of data in the set.

Median - The middle value in an ordered set of data.

Mode - The value or values that occur most often in a set of data.

Measures of central tendency - the mean, median, and mode of a set of data.

 

Section Review Answers

Did you learn these Objectives?

Are you able to define mean, median, and mode as measures of central tendency describing data with a set range.

Can you calculate the mean, median, and mode of given sets of data?

 

 

Lesson 3 "Box-and-Whiskers Plots"

 

Scan Page 192; focus on and read the purple colored boxes, which contain the key vocabulary terms.

Read Through Pages 192-193 and work through the example (take notes of important ideas)

Complete 3 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)

Complete 2 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)

(Compare your answers with these. If you missed any do three more from that section until you get them all right.)

Do you know the vocabulary words? (See Key Points below for help)

Take the quiz on Lesson 3 "Box-and-Whiskers Plots" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)

Review answers on the quiz and print it out. This will be very useful when you are studying for the test.

 

Lesson 3 Key Points

Vocabulary Terms

Box-and-whiskers plot - a way to describe the concentration and the spresd of data in a set.

Lower quartile - the median of the scores below the median.

Upper quartile - the median of the scores above the median.

 

Section Review Answers

Did you learn this Objective?

Are you able to explain the usefulness of box-and-whiskers plot?

Are you able to learn a seven-step process for creating a box-and-whiskers plot?

 

Lesson 4 "The Probability Fraction"

 

Scan Pages 196-198; focus on and read the purple colored boxes, which contain the key vocabulary terms.

Read Through Pages 196-198 and work through the 4 examples (take notes of important ideas)

Complete 3 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)

Complete 3 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)

Complete 2 Problems from Exercise C. (This is for practice you will be graded only on the quiz and tests)

Complete 2 Problems from Exercise D. (This is for practice you will be graded only on the quiz and tests)

(Compare your answers with these. If you missed any do three more from that section until you get them all right.)

Do you know the vocabulary words? (See Key Points below for help)

Take the quiz on Lesson 4 "The Probability Fraction" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)

Review answers on the quiz and print it out. This will be very useful when you are studying for the test.

 

 

Lesson 4 Key Points

Vocabulary Terms

Statistics - Numerical facts about people, places, or things.

Probability - the chance or likelihood of an event occurring.

Theoretical - The predicted likelihood of what should happen in an experiment.

 

Section Review Answers

Did you learn this Objective?

Can you identify the number of favorable outcomes and possible outcomes in an event?

Are you able to calculate the probability that an outcome will occur?

Lesson 5 "Probability and Complementary Events"

 

Scan Page 201; focus on and read the purple colored boxes, which contain the key vocabulary terms.

Read Through Pages 200-201and work through the 4 examples (take notes of important ideas)

Complete 4 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)

Complete 5 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)

Complete 1 Problem from Exercise C. (This is for practice you will be graded only on the quiz and tests)

(Compare your answers with these. If you missed any do three more from that section until you get them all right.)

Do you know the vocabulary words? (See Key Points below for help)

Take the quiz on Lesson 5 "Probability and Complementary Events" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)

Review answers on the quiz and print it out. This will be very useful when you are studying for the test.

 

Lesson 5 Key Points

Vocabulary Terms

Complement of a probability event - the set of outcomes that are not in the event.

 

Section Review Answers

Did you learn this Objective?

Can you classify outcomes as certain, impossible, very likely, not likely, more likely, or less likely?

Are you able to calculate probability of events and their complements?

 

Lesson 6 "Tree Diagrams and Sample Spaces"

 

Scan Page 204; focus on and read the purple colored boxes, which contain the key vocabulary terms.

Read Through Pages 204-205 and work through the 2 examples (take notes of important ideas)

Complete 4 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)

Complete 4 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)

(Compare your answers with these. If you missed any do three more from that section until you get them all right.)

Do you know the vocabulary words? (See Key Points below for help)

Take the quiz on Lesson 6 "Tree Diagrams and Sample Spaces" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)

Review answers on the quiz and print it out. This will be very useful when you are studying for the test.

 

Lesson 6 Key Points

Vocabulary Terms

Sample space - the set of all possible outcomes of an experiment.

 

 

Section Review Answers

Did you learn this Objectives?

Can you diabram all possible outcomes when two independent event occur simultaneously?

 

Lesson 7 "Dependent and Independent Events"

 

Scan Pages 206-208; focus on and read the purple colored boxes, which contain the key vocabulary terms.

Read Through Pages 206-208 and work through the 2 examples (take notes of important ideas)

Complete 2 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)

Complete 1 Problem from Exercise B. (This is for practice you will be graded only on the quiz and tests)

Complete 2 Problems from Exercise C. (This is for practice you will be graded only on the quiz and tests)

(Compare your answers with these. If you missed any do three more from that section until you get them all right.)

Read the writing about mathmatics spiral notebook box on Page 209.

Do you know the vocabulary words? (See Key Points below for help)

Take the quiz on Lesson 7 "Dependent and Independent Events" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)

Review answers on the quiz and print it out. This will be very useful when you are studying for the test.

 

Lesson 7 Key Points

Vocabulary Terms

Dependent event - In a probability experiement, the outcome of one event is affected by the outcome of any other event

Independent event - In a probability experiment, the outcome of an event does not affect the outcome of any other event.

 

 

Section Review Answers

Did you learn this Objectives?

Are you able to recognize events in a probability experiement as dependent or independent?

Can you calculate the probability of successive events that are dependent or independent?

 

Lesson 8 "The Fundamental Principle of Counting"

 

Scan Pages 210-212; focus on and read the purple colored boxes, which contain the key vocabulary terms.

Read Through Pages 210-212 and work through the 3 examples (take notes of important ideas)

Try to memorize the information about the fundamental principle of counting at the bottom of Page 210.

Complete 3 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)

Complete 2 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)

(Compare your answers with these. If you missed any do three more from that section until you get them all right.)

Do you know the vocabulary words? (See Key Points below for help)

Take the quiz on Lesson 8 "The Fundamental Principle of Counting" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)

Review answers on the quiz and print it out. This will be very useful when you are studying for the test.

 

Lesson 8 Key Points

Vocabulary Terms

Fundamental principle of counting - a geneeral rule that states that if one task can be completed p different ways, and a second task can be completed q different ways, the first task followed by the second task can be completed p*q ir pq different ways.

Permutation - An arrangement of some or all of a set of numbers in a specific order.

Factorial notation - the product of all positive integers from a given integer to 1 represented by the symbol (!).

 

Section Review Answers

Did you learn this Objectives?

Are you able to explain how the fundamental principle of counting can be used to find the number of possible outcomes or the permutations in a set?

 

Application of Algebra from Chapter 7

 

Look at the picture on the bottom of page 214 What does a rocket have to do with probability? (for your thinking process. do not have to answer for grading).

Read from the top of page 214 and study the example.

Read the directions to the Exercise and complete 3 of the problems. (This is for practice you will be graded only on the quiz and tests)

(Compare your answers with these. If you missed any do three more from that section until you get them all right.)

Take the quiz on Applying Chapter 7, "Multistage Experiments" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)

Review answers on the quiz and print it out. This will be very useful when you are studying for the test.

 

Application 1 Key Points

 

 

Section Review Answers

Did you learn this Objectives?

Are you able to applly the fundamental principle of counting to probability problems with multiple stages?

 

 Preparing for Chapter 7 Test

Turn to Pages 215-217 and work through all even numbered problems, (2,4,6,8,...).

Check your answers with these. (This is for practice you will be graded only on the quiz and tests)

If you missed more than 4 problems work through all the odd numbered problems on pages 59-61.

Check your answers with those in the Chapter Review answers.

If you missed more than 4 problems this time contact your instructor for extra help: jmarley@yksd.com.

Take the Chapter 7 Test "Data, Statistics, and Probability"

Review the answers then print the results for your records.

 

Congratulations you finished Chapter 7!!