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The first chapter of the fifth grade math book focuses on understanding place value. The standards for chapter 1 are:

Chapter 1

Number Sense: Understand the relative magnitude of numbers

Number Sense: Estimate, round and manipulate very large (millions) and very small (thousandths) numbers

Algebra and functions: Use a letter to represent an unknown number

Algebra and functions: Solve problems involving linear functions with integer values

Mathematical reasoning: Analyze problems by identifying relationships

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	Looking Ahead
In the grade 4 math program (taken by RL students in grade 3), students learned how to read, write, and compare whole numbers through the millions place, and decimal numbers through the hundredths place.	In this chapter, students will learn how to round, compare, and order whole numbers through the hundred billions, place, and decimal numbers through the thousandths place.	Next year, students will learn to use place vale to compare positive and negative decimals.

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 first chapter are:

Working with exact and estimated data pages 6-7

Draw a diagram pages 14-15

Using data from tales and graphs pages 22-23

The four steps in problem solving that will be emphasized are:

Understand~

What is the problem asking?

What facts are given?

What must be found?

How would you restate the problem in your own words?

Plan~

Make a plan for solving the problem. Think of the different strategies that are available to the mathematician.

How can the problem be solved?

What other strategies might also work?

Draw a picture

Make a model

Work backward

Guess and check

Act out the problem

Write a number sentence

Solve~

How will the problem be solved?

What materials should be used: paper and pencil; mental math; calculator; or manipulatives?

Use the best materials that are available.

Look Back~

Is the answer correct?

Does it make sense and is it a logical solution?

Think of a way to check the problem and take the time to do so.

Does the selected solution answer the question?

Practice Some
Online Problem Solving!

Susan and her friend Roger are helping Mrs. Updike at the school store. They take turns working at the cash register. Like Susan and Roger, see if you can make change as requested by each customer. Give all the possible answers for each problem.

Day 1: John gets 40 cents change. He wants just one type of coin.

Day 2: Jen gets 45 cents change. She wants exactly 2 dimes.

Day 3: Susie gets 25 cents. She wants at least one dime.

Day 4: Michael gets 45 cents. He wants no more than two dimes.

Day 5: Mary's change is 35 cents. She wants at least seven coins, all of the same type.

Day 6: Linda gets 55 cents change. She wants the fewest possible number of coins.

Day 7: Robert gets 36 cents change He wants no more than one nickel.

Day 8: Sam gets 40 cents change. He does not want any nickels.

Day 9: Joe gets 37 cents change. He wants the smallest possible number of coins.

Day 10: Jane gets 97 cents change. She wants as many quarters as possible.

How About Some More Practice?

What's so great about a million?

In 1,000,000,000, how many ones are there?

In 1,000,000,000, how many hundreds are there?

In 1,000,000,000, how many tens are there?

In 1,000,000,000, how many thousands are there?

Round the number 473, 852 to the nearest:

Ten

Hundred

Thousand

Ten Thousand

Hundred Thousand

Find the pattern and fill in the missing numbers:

14.3, 14.4, 14.5, ___, ___, ___	0.6, 0.7, 0.8, ___, ___, ___
8.01, 8.03, 8.05, ___, ___, ___	4.02, 4.04, 4.06, ___, ___, ___

Fill in the chart by writing the digit in the place to be rounded, the digit to its right, and the rounded number. Round to the nearest tenth.

Number	Digit to be rounded	Digit to the right	Rounded to nearest tenth
27.42
5.163
84.07
0.149
12.45
6.271
38.892

Round the same number to different place values. Complete the chart below.

Round to the nearest:	Use the number: 837.529
hundred
ten
one
tenth
hundredth

For a bit more challenge:

Bryson is 6 years older than Beth. He is 10 years younger than Amy. Amy is twice as old as Bryson. What are their ages?	A class wears 12 T-shirts, numbered 1-12. The students pair off to play a game. The sum of the numbers on the T-shirts of every pair is the same. Abdul wears number 4. What T-shirt does his partner wear?
Emily rounds a number to the nearest hundred thousand. She gets 800,000. What is the greatest possible original number? What is the least possible original number? How many numbers can be rounded to 800,000?	Paula's locker number has 5 digits. It has no more than 2 of any digit. It is the same backward and forward. It is the greatest possible number that fits these clues. What is her locker number?

to Math Sites

Place Value Sites~

Place Value Chart	Play the Place Value Game	Match the Number to the Word
Place Value Number Quiz	Write the Number on the Check	Write the Number- Math Basketball Game
Place Value Word Quiz	Place Value Pirates	Name the Number on the Check

Sites from aaamath.com

Identifying Place Values

Finding Place Values

Place Values-Expanded Form

Comparing 4-digit Numbers

Ordering 4-digit Numbers

Comparing 5-digit Numbers

Ordering 5-digit Numbers

Place Values of 6-digit numbers

Comparing 6-digit Numbers

Ordering 6-digit Numbers

Place Values of 7-digit numbers

Comparing Numbers through Millions

Ordering 7-digit Numbers

How about some algebra!

Working with Variables

Solving Equations 1

Solving Equations 2

Decimal Sites ~

Finding Place Values	Thousandths Place Value	Online Flashcard Practice- say the numbers
Tenths Place Value	Decimals to Ten-Thousandths	Tons of Decimal Help from Math League
Hundredths Place Value	Comparing Decimals	Make Change from Funbrain

Rounding Sites~

Basketball Rounding	Match Game- decimals/whole numbers	Flashcards-tenths
Rounding Riddles #1	Flashcards- decimals/whole numbers	Concentration-tenths
Rounding Riddles #2	Concentration- decimals/whole numbers	Practice/Tutorials-Tenths
Match Game-tenths	Estimating and Rounding	Rounding to Hundredths

Time to Exercise the Brain~

Grade Five Problems	Who Wants to Win $1,000,000 ?	Puzzler Archive
Coin Flipping	Brain Teasers from Houghton Mifflin	Online Mankala

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
Interesting multiplication practice. . .	Late Delivery-Great Algebra Practice
Mystery Math-How do they do that?	Order of Operations
Puzzler	Math Baseball
Multiplication tips by kids	Exponent Basketball
The Fruit Game	Math Playground