The third chapter of the fifth grade math book focuses on using data and graphing. The standards for chapter 3 are:

Chapter 3

Statistics, Data Analysis, and Probability: Know the concepts of mean, median and mode; compute and compare simple examples to show that they may differ.

Statistics, Data Analysis, and Probability: Organize and display single variable data in appropriate graphs and representations (histograms, circle graphs, etc.) and explain which types of graphs are appropriated for various data sets.

Statistics, Data Analysis, and Probability: Identify ordered pairs of data from a graph and interpret the meaning of the data in terms of the situation depicted by the graph.

Statistics, Data Analysis, and Probability: Know how to write ordered pairs correctly; for example (x, y)

Mathematical reasoning: Use a variety of methods such as words, numbers, symbols, charts, graphs, tables, diagrams, and models to explain mathematical reasoning.

This chapter connects with previous and future learning in this way:

Looking Back	Right Now   Using Data and Statistics	Looking Ahead
In the grade 4 program, students learned how to collect data and evaluate data.	In this chapter, students will learn how to organize and display data and determine measures of central tendency.	Next year, students will learn how to interpret data and analyze statistical results.

The chapter has three sections of problem solving where the students are introduced to new strategies or are asked to apply previously learned concepts in new problems. The strategies for the third chapter are:

Understanding Line Graphs pages 94-95

Make a Graph pages 102-103

Using Other Graphs pages 107-109

The Five Steps to Successful Problem Solving are:

Understand

What is the problem about?

What facts do I have?

What must I find?

Try to restate the problem in your own words.

Plan a Solution

Make a plan as to how you will solve the problem.

Think of the different strategies that you know and understand.

Ask: "How can I solve this problem?"

Solve the Problem

Decide the best way to actually solve the problem.

Choose the method of computation: pencil/paper, mental math, calculator, or manipulatives.

Look Back

Check to see that the answer makes sense.

Think of a way to check the answer and then do so.

Ask yourself: "Does my solution make sense and does it answer the question that I have been asked to find?"

Here are some problems to practice your skills for this chapter.

Find the range, mean, and the median of each set of amounts:

Data for set A $1.45 $2.60 $3.20 $4.50 $2.80 $3.40

Data for set B $1.45 $2.60 $3.20 $4.55 $2.80 $3.40 $52.00

Tell why the means differ so much when only 1 amount is different
in each set.

What's better to use to show the number that is most like the entire set of data in each sample: the median or the mean? Why ?

Try this:

Helen and Josephine each roll a pair of number cubes. Helen wins if the sum of the two numbers is 3. Josephine wins if the sum is 7. Who is more likely to win?

Calculator Practice:

Use a calculator to solve these sentences:

8 X 3 = n

8 X 33 = n

8 X 333 = n

Look for a pattern in the products, and use the pattern to predict the solutions to these sentences:

8 X 3,333 = n

8 X 33,333 = n

Use your calculator to check your predictions. Repeat the activity with a 2-digit multiplier, such as 14.

Comparing types of graphs

Graph the following sets of data on a bar graph and then on a line graph.

Points scored by the 49ers!

Game 1	28 points
Game 2	14 points
Game 3	14 points
Game 4	42 points
Game 5	0 points

How do the two graphs show different things about the same set of data?

Matrix Math

Create a matrix and organize this information. Use logical thinking to solve the problem.

Problem #1

Sue, Lou, and Hugh have pets. One has a dog, one has a cat, and one has a goldfish. Sue's pet cannot climb trees. Hugh is allergic to fur. Which pet belongs to which person?

Problem #2

Jan, Leslie, Dave and Carol are athletes. Each of them is on either the golf, track, bowling, or soccer team. Jan is taller than the soccer player. Dave and Leslie do not know how to play golf. Neither Jan nor Leslie has time to bowl, and Carol's sport does not use a ball. Who is on the bowling team?

Wasn't that fun!

Time to be challenged!

A set of five numbers has these characteristics: a mean of 10 a range of 12 a mode of 7 a median of 7 What is one set of numbers?	Tomorrow will not be Thursday or Sunday. Today is not Monday or Friday. Yesterday was not Wednesday or Saturday. What day was yesterday?
These are zinagroos: 540; 2,412; 30,303; 111,111,111 These are not zingaroos: 3; 420; 3,513; 2,020,202 Which of these are zingaroos: 60,301; 12,321; 7,069; 41,040 Why?	How can this riddle be true? Bambino's score was 98. And Sam's score was 91. Bambino's was the greater, But Sam's the one who one! Hint: think of a game where low score wins!

New Math Links!

What's the Mean?	What's a Pie Chart?	Create a Graph
What's the Mode?	Review of Pie Charts	Statistics-An explanation
What's the Median?	What are Bar Graphs?	Handling Data-interactive
How to Average + practice	What are Line Graphs?	What is a Percent?
Averaging Practice	Comparing the Graphs	What is Probability?

to AAAmath.com

Mrs. Glosser's Math Goodies

Range	Mode
Advanced Mean	Practice Exercises

to Math Games and Fun!

Math Football	Cash register math	Tic Tac Toe Math
What's the point?	Pie Chart Activity	Basket Math-Graphs
Guess the Number	Statistics and the Truth-Do they lie?	Family math challenges

Time to Exercise the Brain~

Escape from Knab	Climb Math Mountain	Puzzler Archive
The Fruit Game	The Train Race	Online Mankala
Who Wants to Win $1,000,000.00?	Grade Five Problems	Family Math Challenges
What's the Best Way to get Paid?	Mystery Math	Coin Flipping

Archived math links:

Fun Math Sites to Visit~ 

Great Help for Most of Chapter 1	Need help? Ask Dr. Math
Practice rounding with online flashcards	Math Dictionary for Kids
Online Flashcards-all operations	Tons of chances for practice-worksheets
Totally Tessellated	A+ Math Games
Multiplication Problems-you set the problems	Late Delivery-Great Algebra Practice
Mystery Math-How do they do that?	Order of Operations
Puzzler	Math Baseball
Multiplication tips by kids	Exponent Basketball
Tangrams	Math Playground