From bestselling authors Judith and Gary Muschla, The Math Teacher's Problem-a-Day is a hands-on resource containing 180 handy worksheets, one for each day of the school year, to help students in grades 4-8 acquire the skills needed to master mathematics. These reproducible worksheets are perfect for "sponge activities"―five-minute challenges to start or end a class period―that can also be used as supplemental lessons, homework, or extra credit.
With problems based on the Standards and Focal Points of the National Council of Teachers of Mathematics, the book is designed to give students valuable practice in math skills, using specific activities to enhance critical thinking and boost test scores. The topics covered focus on the core math concepts and skills required for middle school students, including:
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Judith A. Muschla has taught mathematics in South River, New Jersey, for over twenty-five years. She was a recipient of the 1990–1991 Governor's Teacher Recognition Program award in New Jersey and was named 2002 South River Public School Teacher of the Year.
Gary Robert Muschla, a prolific author and classroom teacher, taught math, reading, and writing for more than twenty-five years in Spotswood, New Jersey.
Judith and Gary Muschla have coauthored a number of books including Hands-On Math Projects with Real-Life Applications, Second Edition; The Math Teacher's Book of Lists, Second Edition; Math Starters!; Geometry Teacher's Activities Kit; Math Smart!; Algebra Teacher's Activities Kit; and Math Games, all published by Jossey-Bass.
The Math Teacher'sProblem-a-Day, Grades 4–8
Over 180 Reproducible Pagesof Quick Skill Builders
From bestselling authors Judith and Gary Muschla, The Math Teacher's Problem-a-Day is a hands-on resource containing 180 handy worksheets, one for each day of the school year, to help students in grades 4–8 acquire the skills needed to master mathematics. These reproducible worksheets are perfect for "sponge activities"―five-minute challenges to start or end a class period―that can also be used as supplemental lessons, homework, or extra credit.
With problems based on the Standards and Focal Points of the National Council of Teachers of Mathematics, the book is designed to give students valuable practice in math skills, using specific activities to enhance critical thinking?and boost test scores. The topics covered focus on the core math concepts and skills required for middle school students, including:
Numbers and Operations
Algebra
Geometry
Measurement
Data Analysis
Part of the 5-Minute Fundamentals series, The Math Teacher's Problem-a-Day is an important resource that will help today's students understand more concepts, make connections between branches of mathematics, and apply math skills to a variety of real-life problems.
Praise for The Math Teacher's Problem-a-Day
"Mathematics teachers everywhere in grades 4 through 8 will find these worksheets not only uniquely beneficial but perfectly aligned with NCTM standards. In an age where No Child Left Behind holds teachers accountable for instruction, it is refreshing to have a resource that ensures successful student practice of key mathematical focal points."
―Elizabeth Lell, department chairperson of curriculum and instruction, Hammarskjold Middle School, East Brunswick Public Schools, New Jersey
The Math Teacher'sProblem-a-Day, Grades 4–8
Over 180 Reproducible Pagesof Quick Skill Builders
From bestselling authors Judith and Gary Muschla, The Math Teacher's Problem-a-Day is a hands-on resource containing 180 handy worksheets, one for each day of the school year, to help students in grades 4–8 acquire the skills needed to master mathematics. These reproducible worksheets are perfect for "sponge activities"—five-minute challenges to start or end a class period—that can also be used as supplemental lessons, homework, or extra credit.
With problems based on the Standards and Focal Points of the National Council of Teachers of Mathematics, the book is designed to give students valuable practice in math skills, using specific activities to enhance critical thinking?and boost test scores. The topics covered focus on the core math concepts and skills required for middle school students, including:
Numbers and Operations
Algebra
Geometry
Measurement
Data Analysis
Part of the 5-Minute Fundamentals series, The Math Teacher's Problem-a-Day is an important resource that will help today's students understand more concepts, make connections between branches of mathematics, and apply math skills to a variety of real-life problems.
Praise for The Math Teacher's Problem-a-Day
"Mathematics teachers everywhere in grades 4 through 8 will find these worksheets not only uniquely beneficial but perfectly aligned with NCTM standards. In an age where No Child Left Behind holds teachers accountable for instruction, it is refreshing to have a resource that ensures successful student practice of key mathematical focal points."
—Elizabeth Lell, department chairperson of curriculum and instruction, Hammarskjold Middle School, East Brunswick Public Schools, New Jersey
Name _____________________________________ Date ____________________
1.1 Whole Number Place Value Through 100,000
1. What is the value of each digit in the number 8,647?
A. 4: ____________________ B. 8: ____________________ C. 7: ____________________ D. 6: ____________________
2. Given the number 63,072, find the digit that represents each value.
A. tens: ________ B. thousands: ________ C. hundreds: ________ D. ones: ________ E. ten thousands: ________
3. Combine the following values to write the number in standard form.
eight hundreds two thousands three hundred thousands five ones nine tens four ten thousands
BONUS
Write the number described by the following clues: The ones digit is 2, the tens digit is four times the ones digit, and the hundreds digit is 5.
MATH TIP
Any standard number may be written in expanded form. For example, the standard number 257,372 can be written as 200,000 + 50,000 + 7,000 + 300 + 70 + 2 in expanded form.
Name _____________________________________ Date ____________________
1.2 Whole Number Place Value Through 100 Millions
1. What is the value of each digit in the number 72,630,815?
A. 3: ____________________ B. 1: _____________________ C. 2: ____________________ D. 6: ____________________ E. 8: ____________________ F. 7: _____________________ G. 5: ____________________ H. 0: ____________________
2. Write the following numbers in standard form.
A. fifty-three million, one hundred seventy-two thousand, sixty-eight
B. six million, three hundred fifty-four thousand, eight hundred ninety-seven
3. Write the following numbers in word form.
A. 38,251,740 B. 600,294,005
BONUS
Identify the largest number below.
A. seven hundred three million, four hundred thousand, nine hundred eighty-two
B. 700,000,000 + 30,000,000 + 600,000 + 30,000 + 4,000 + 20 + 5
C. 700,358,426
MATH TIP
Without understanding place value, a person cannot truly understand the values of numbers.
Name _____________________________________ Date ____________________
1.3 Multiplication Facts
1. Complete each of the following series by skip counting.
A. 2, 4, _______, 8, _______, _______, 14, _______, 18, 20, _______, 24 B. 3, 6, 9, _______, 15, _______, 21, _______, 27, _______, _______, 36 C. 4, 8, _______, 16, _______, 24, 28, _______, _______, 40, _______, 48
2. Complete each of the following series by skip counting.
A. 5, 10, _______, 20, 25, ________, 35, _______, _______, 50, _______, 60 B. 6, 12, _______, 24, _______, 36, _______, _______, 54, _______, 66, 72 C. 7, _______, 21, 28, _______, 42, _______, 56, 63, _______, _______, 84
3. Complete each of the following series by skip counting.
A. 8, _______, 24, _______, 40, 48, 56, _______, 72, _______, 88, _______
B. 9, 18, _______, _______, 45, 54, _______, _______, 81, 90, _______, 108
C. 10, _______, 30, 40, 50, _______, 70, _______, 90, _______, _______, 120
BONUS
Suppose you have five rows of pennies. Four pennies are in each row. How many pennies do you have in all? Write a multiplication problem that shows your answer.
MATH TIP
Learning to skip count will help you to remember multiplication facts.
Name _____________________________________ Date ___________________
1.4 Multiplication by One-Digit Numbers
1. Multiply the following numbers.
A. 225 B. 4,635 C. 5,029 2 6 8
2. Multiply the following numbers.
A. 398 B. 7,246 C. 5,006 5 3 9
3. Last summer, Lisa and her family went on vacation. They drove from their home to Florida. They drove four days, about 540 miles each day. About how many miles did they drive altogether?
BONUS
The tens and thousands digits are missing in the multiplication problem below. Find the missing digits. ___, 6 ___ 5 7 = 18,235
MATH TIP
The number 2, when added to or multiplied by itself, results in the same answer: 4. It is the only number greater than 0 for which this is true.
Name _____________________________________ Date ____________________
1.5 Multiplication by Two-Digit Numbers
1. Multiply the following numbers.
A. 27 B. 15 C. 82 23 94 26
2. Multiply the following numbers.
A. 73 19 B. 65 45 C. 87 68
3. Mrs. Casey, a sixth grade math teacher, ordered one package of pencils for each of her 92 students. Each package contained a dozen pencils. How many pencils did Mrs. Casey order?
BONUS
The sum of two two-digit numbers is 35. Their product is 250. What are the numbers?
MATH TRIVIA
In 1637, English mathematician William Oughtred (1574-1660) became the first person to use as a symbol for multiplication.
Name _____________________________________ Date ____________________
1.6 Multiplication of Multidigit Numbers, I
1. Multiply the following numbers.
A. 368 B. 615 C. 807 24 47 90
2. Multiply the following numbers.
A. 565 29 B. 307 63 C. 869 56
3. Imagine that a friend is having trouble multiplying 742 53. Write instructions that will help your friend multiply these numbers correctly.
BONUS
Of the 426 students in Kayla's school, on average 358 buy the school lunch each day. Using this average and assuming that there are 20 school days in a month, how many lunches should the school order for one month? Is this an accurate number? Explain your answer.
MATH TIP
In a multiplication problem, the numbers that are multiplied are called factors. The answer is called the product.
Name _____________________________________ Date ____________________
1.7 Multiplication of Multidigit Numbers, II
1. Multiply the following numbers.
A. 5,758 B. 9,207 C. 11,806 62 50 86
2. Multiply the following numbers.
A. 4,268 B. 6,009 C. 10,596 407 538 3,547
3. The average adult human heart beats about 70 times per minute. About how many times does it beat each day?
BONUS
Is the following equation true? 389 402 = 402 389. Explain your answer.
MATH TRIVIA
If the number 111,111,111 is multiplied by itself, the product is 12,345,678,987,654,321. This is all of the nonzero digits in ascending to descending order.
Name _____________________________________ Date ____________________
1.8 Estimation of Products
1. Estimate the product for each...
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