This document outlines several math standards and objectives for 4th grade students. It covers several topics: - Place value up to millions and converting between word, standard, and expanded forms - Rounding numbers to the nearest ten, hundred, or thousand and using rounding in problems - Multiplying 2-3 digit numbers by 1 or 2 digit numbers - Dividing whole numbers, knowing division facts, and solving problems with remainders - Understanding properties of the four operations and using order of operations - Solving problems using appropriate strategies and technology - Reasoning mathematically by making conjectures, arguments, and proofs

1. By: Ms. Nitra Coleman

2. I’m thinking of a 4-digit number that has twice
as many thousands as ones, twice as many ones
as hundreds, and twice as many hundreds as
tens. What is my number?

3. Tens is the least place
value digit.

4. Ms. Coleman's astrology teacher asked her to
practice locating stars through the telescope for
5 minutes the first night, 10 minutes the second
night, 15 minutes the third night, 20 minutes
the fourth night and she doesn't have to
practice on Sundays. How many nights will it
take Ms. Coleman to have 3 hours of practice?

5. The minutes do not
increase after the fourth
night.

6. Nia has to be to school by 8:30. It takes her 5
minutes to brush her teeth, 10 minutes to
shower, 20 minutes to dry her hair, 10 minutes
to eat breakfast and 25 minutes to walk to
school. What time will she need to get up?

7. Remember how many
minutes there are in one
hour.

8. Ms. Coleman used four thousand, nine
hundred fifty-nine chips to make a big batch of
giant chocolate chip cookies. Each cookie got
about nineteen chips. How many cookies did
Ms. Coleman make?

9.  Number is greater than 200
but less then 300

10.  I’m thinking of a 4-digit number that has twice as many thousands
as ones, twice as many ones as hundreds, and twice as many
hundreds as tens. What is my number? 8,214
 Ms. Coleman's astrology teacher asked her to practice locating
stars through the telescope for 5 minutes the first night, 10
minutes the second night, 15 minutes the third night, 20 minutes
the fourth night and she doesn't have to practice on Sundays. How
many nights will it take Ms. Coleman to have 3 hours of practice?
15
 Nia has to be to school by 8:30. It takes her 5 minutes to brush her
teeth, 10 minutes to shower, 20 minutes to dry her hair, 10 minutes
to eat breakfast and 25 minutes to walk to school. What time will
she need to get up? 7:20
 Ms. Coleman used four thousand, nine hundred fifty-nine chips to
make a big batch of giant chocolate chip cookies. Each cookie got
about nineteen chips. How many cookies did Ms. Coleman make?
261

11.  Write in your math journals for each problem,
what made the problem easy? Or difficult?

12. M4N1. Students will further develop their understanding of
how whole numbers
and decimals are represented in the base-ten numeration
system.
a. Identify place value names and places from hundredths
through one million.
b. Equate a number’s word name, its standard form, and its
expanded form.
M4N2. Students will understand and apply the concept of
rounding numbers.
a. Round numbers to the nearest ten, hundred, or thousand.
b. Describe situations in which rounding numbers would be
appropriate and
determine whether to round to the nearest ten, hundred, or
thousand.
c. Determine to which whole number or tenth a given decimal is
closest using
tools such as a number line, and/or charts.
d. Round a decimal to the nearest whole number or tenth.
e. Represent the results of computation as a rounded number
when appropriate
and estimate a sum or difference by rounding numbers.
M4N3. Students will solve problems involving multiplication
of 2-3 digit numbers by
1 or 2 digit numbers.
M4N4. Students will further develop their understanding of
division of whole
numbers and divide in problem solving situations without
calculators.
a. Know the division facts with understanding and fluency.
b. Solve problems involving division by 1 or 2-digit numbers
(including those
that generate a remainder).
c. Understand the relationship between dividend, divisor,
quotient, and
remainder.
d. Understand and explain the effect on the quotient of
multiplying or dividing
both the divisor and dividend by the same number. (2050 ÷ 50
yields the
same answer as 205 ÷ 5).
M4N7. Students will explain and use properties of the four
arithmetic operations to
solve and check problems.
a. Describe situations in which the four operations may be used
and the
relationships among them.
b. Compute using the order of operations, including parentheses.
c. Compute using the commutative, associative, and distributive
properties.
d. Use mental math and estimation strategies to compute.
M4P1. Students will solve problems (using appropriate
technology).
a. Build new mathematical knowledge through problem solving.
b. Solve problems that arise in mathematics and in other contexts.
c. Apply and adapt a variety of appropriate strategies to solve
problems.
d. Monitor and reflect on the process of mathematical problem
solving.
M4P2. Students will reason and evaluate mathematical
arguments.
a. Recognize reasoning and proof as fundamental aspects of
mathematics.
b. Make and investigate mathematical conjectures.
c. Develop and evaluate mathematical arguments and proofs.
d. Select and use various types of reasoning and methods of
proof.