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Chapter One: Whole Numbers and Patterns
Section
Section 1-1
Section 1-2:
Quiz
Section 1-3:
Section 1-4:
Quiz
Section 1-5:
Section 1-6:
Quiz
Chapter
Review
Test
Objective
Dates (may change)
Estimating with Whole Numbers
Exponents
Sections 1 and 2
Order of Operations
Properties and Mental Math
Sections 3 and 4
Choosing a method of Computation
Patterns and Sequences
Sections 5 and 6
Monday, Sept. 14th
Tuesday, Sept. 15th
Wednesday, Sept. 16th
Thursday, Sept. 17th
Friday, Sept 18th
Monday, Sept. 21st
Tuesday, Sept. 22nd
Wednesday, Sept 23rd
Thursday, Sept. 24th
Friday, Sept 25th
Chapter 1
Monday, Sept. 28th
Dear Students and Parents,
Welcome to your first math unit. Each new unit you will be receiving a
calendar like this that shows an overview of what you will be learning throughout
each section. You can expect that we will be covering one section each day.
Above is a table that shows when each assessment will take place and when the
review and chapter test will be. If, through assessment, I can tell that there was a
general understanding of each section, and there were no interruptions (such as
picture day), you could assume this particular unit would take 11 class days. The
schedule is always subject to change depending on the needs of the class.
However, if a change occurs your child will be made aware of it and adjust their
calendar accordingly.
Please remember that you can access your math textbook online and that
the online access also includes tools, tutorials and extra practice.
Snack will take place during math class. Please remember that my
classroom is peanut free and I ask that you encourage your child to bring in a
healthier choice snack (no candy or cookies please). If children forget their snack I
usually have extras. If you would like to donate snacks to our class to have in case
someone forgets please send them in to me with your child (peanut free please).
Thanks,
Mrs. Helmberger
Parent Signature _____________________________________
Section One: Estimating with Whole Numbers
(Pages 6-9)
You’ll Learn: to estimate with whole numbers
Vocabulary
Estimate:
Compatible number:
Underestimate:
Overestimate:
Remember!
When rounding, look
at the digit to the right
of the place to which
you are rounding.
 If that digit is
5 or greater,
round up.
 If that digit is
less than 5,
round down.
Estimate a Sum or Difference by Rounding (copy examples from board)
Overestimating and Underestimating
Ms. Escobar is planning a graduation celebration for the entire eighth grade.
There are 9 eighth-grade homeroom classes of 27 students. Estimate how many
cups Ms. Escobar needs to buy for students if they all attend the celebration.
Mrs. Byrd will drive 120 miles to take Becca to the state fair. She can drive 65
mi/hr. About how long will the trip take?
Think and Discuss (See Page 7)
1)
2)
3)
Section 2: Exponents
(Pages 10-13)
You’ll learn: to represent numbers and solve problems by using exponents.
Vocabulary
Exponent:
Base:
Exponential form:
Exponential Form
101
102
103
104
Read
10 to the 1 power
10 to the 2nd power or 10 squared
10 the 3rd power or 10 cubed
10 to the 4th power
st
Multiply
10
10 x 10
10 x 10 x 10
10 x 10 x 10 x 10
Value
10
100
1,000
10,000
Writing Numbers is Exponential Form:
A) 4 x 4 x 4
B) 9 x 9 x 9 x 9 x 9
C) 2 x 2 x 2 x 2
Find the Value of Numbers in Exponential Form:
A) 27
B) 64
C) 35
Problem Solving Application (See page 11)
If Dana’s school closes, a phone tree is used to contact each student’s family. The
secretary calls 3 families. Then each family calls 3 other families, and so on.
How many families will be notified during the 6th round of calls?
Think and Discuss (page 11)
1.
2.
Section Three: Order of Operations
( Pages 18-21)
You’ll learn: to use the order of operations
Vocabulary
Numerical expression:
Simplify:
Order of Operations:
Simplify each expression: Show each step below the problem as you solve it.
A) 15 -10 ÷ 2
E) 24 + 6 x 4
B) 9 + (21 ÷ 7) x 5
F) 24 ÷ (9-6) x 32 -10
C) 12 – 6 ÷ 2
G) 42 + 3 x 7
D) 7( 24 ÷ 6 ) x 3
H) 32 ÷ (8-4) x 22 – 12
I) Regina bought 5 carved wooden beads for $3 each and 8 glass beads for $2
each. Find the amount Regina spent for beads.
Add parentheses so that each equation is correct:
1) 7 + 9 x 3 – 1 = 25
2) 15 x 32 -23 =15
Section Four: Properties and Mental Math
(pages 22-25)
You’ll learn: to use number properties to compute mentally
Commutative Property (Ordering)
Words
Numbers
You can add or multiply numbers in any
18 + 9 = 9 + 18
order.
15 x 2 = 2 x 15
Associative Property (Grouping)
Words
When you are only adding or only
multiplying, you can group any of the
numbers together.
Numbers
(17 + 2) + 9 = 17 + ( 2 + 9)
(12 x 2) x 4 = 12 x (2 x 4)
Distributive Property
Words
To multiply a number by a sum, multiply
by each number in the sum and then add.
Numbers
6 x (10 + 4) = (6 x 10) + (6 x 4)
Identify the properties shown:
A) 2 + 3 + 4 = 3 + 2 + 4
B) (3 + 5) + 2 = 3 + (5 + 2)
C) 4 x 10 = 10 x 4
D) 3 x ( 2 + 1) = (3 x 2) + (3 x 1)
E) (8 x 5) x 9 = 8 x (5 x 9)
F) 4( 6 + 7) = (4 x 6) + (4 x 7)
Use the Distributive Property to find each product:
A) 3 x 36
B) 5 x 24
C) 9 x 12
D) 2 x 87
Use Mental Math to simplify each problem.
8 + 12 + 13 + 7
2 x 25 x 4
4 + 22 + 16 + 18
6 x 5 x 14
11 + 75 + 25
5 x 8 x 12
Section Five: Choosing a Method of Computation
(pages 26-28)
You’ll learn: to choose an appropriate method of computation and justify your
choice.
Choices for Computation:
1) Using a pencil and paper
2) Using mental math
3) Using a calculator (if allowed)
Remember that not all students will use identical methods when solving a
problem. The goal is to use the easiest and fastest method for you!
Section Six: Patterns and Sequences
(pages 29-32)
You’ll learn: to find patterns and to recognize, describe, and extend patterns in
sequences.
Sequence:
Term:
Arithmetic Sequence: