Transcript Day 1 - ElementaryMathematics

WELCOME TO BIG IDEA 1
GRADE 4
While we are waiting to begin, please
make sure that you have:
• signed in on the hard copy.
• signed in on the computer.
Directions and BE # are on the
table next to the computer.
• ordered lunch in room 301 now, if
you wish. We will break for
lunch at 11:30 for one hour.
GROUP NORMS AND
HOUSEKEEPING
LOGISTICS:
Group Norms:
Rest Rooms
Phone Calls
Breaks
Lunch
Punctuality
Sharing
Participate
Listen with an open
mind
Ask questions
Work toward solutions
Limit side bars
BIG IDEA 1
Develop quick recall of
multiplication facts and related
division facts and fluency with
whole number multiplication.
6 x 7 = 42
42 ÷6 = 7
438
X 25
WHAT IS TEACHING TO
Teaching For Depth
Teaching For Depth
MA.4.A.6.1
Use and represent numbers through
millions in various contexts, including
estimation of relative sizes of amounts
or distances.
Magnitude of a Number
When is 1000 a large number?
When is 1000 a small number?
When is 1,000,000 a large number ?
When is 1,000,000 a small number?
PLACE VALUE is a fundamental feature
of our number system. A thorough
understanding of place value developed
early through concrete experiences, is
necessary in order for students to achieve
computational fluency.
,
20
30
.
500
4,444
XXXX
600
Ones
Thousand
Million
Billion
What are the periods of this number?
684,684,684,684,684
PERIOD NAMES
Each period has the same three places
684,684,684,684,684
The Power of Ten
2
20
2 x 10
200
2 x 10 x 10
2000
2 x 10 x 10 x 10
Different Number Forms
Standard:
35,684
Expanded:
30,000 + 5,000 + 600 + 80 + 4
Word:
Thirty-five thousand, six hundred eighty-four
Grab
and
Go
Center
MA.4.A.6.6
Estimate and describe
reasonableness of estimates;
determine the appropriateness of
an estimate versus an exact answer.
672, 408
What are reasonable estimates for
this number ?
ESTIMATION
• Using benchmarks to make reasonable
estimates
• Rounding to a specific place value
The table below shows the land area, in square miles, of four states in
the southeast.
Which is the best estimate of a range of numbers for the total land area,
in square miles, of the four states listed in the table?
a. 100,000 to 125,000
c. 150,000 to 175,000
b. 125,000 to 150,000
d. 175,000 to 200,000
1. As of 2008, the number of seats at Ben Hill Griffin Stadium in
Gainesville, Florida, was 88,548. At a certain event, 9,325 of
the seats were empty. Which is the best estimate of the
number of seats that were NOT empty at the event?
a. 110,000
b. 100,000
c. 90,000
d. 80,000
2. According to one source, Americans eat between 59 and 65
quarts of popcorn per person in a year. Which of the following
is the best estimate of the number of quarts of popcorn eaten
by an American family of 4 in one year?
a. 150
b. 200
c. 250
d. 300
ALGEBRAIC THINKING
Inequality
7+6 > 3+5
Input
Output
Equation
10 = t + 3
Expression
t+3
MA.4.A.4.2
Describe mathematics relationships
using expressions, equations, and
visual representations.
Several shapes are shown below:
There is a relationship between the number of the shape and the number
of sides that each shape has. If this same pattern continues, which
expression below can be used to find the number of sides of Shape 6 ?
a. 6 + 1
b. 6 + 2
c. 6 x 1
d. 6 x 2
Marquese has some Skittles left in his bag.
Dora has two more than Marquese left in her
bag.
If m represents the number of skittles that
Marquese has, write an expression to show
how many skittles Dora has.
m+2
Deborah has some Skittles.
Mark has three fewer than Deborah.
If d represents the number of skittles that
Deborah has, write an expression to show how
many skittles Mark has.
d-3
Morgan has some Skittles.
Stacey has twice as many as Morgan.
If m represents the number of skittles that
Morgan has, write an expression to show how
many skittles Stacey has.
m + m or 2 x m or 2m
What’s the word problem?
Numerical Expressions
42 – 15
50 ÷ 5
Algebraic Expressions
n – 15
50 ÷ n
Morgan had 8 extra pencils to share with friends. She shared
the 8 pencils with 2 friends. Which expression shows what
Morgan did with her extra pencils?
8x2
8–2
8÷2
8+2
Morgan had some pencils to share equally with 2 friends.
Let p represent the pencils. Which expression shows what
Morgan did with her pencils?
px2
p–2
p÷2
p+2
During the summer, Melissa read 5 more books than
Justin. Justin read 11 books. Write an expression to show
how many books Melissa read.
During the summer, Melissa read 5 more books than
Justin. Let b represent the books that Justin read. Write
an expression to show how many books Melissa read
during the summer.
Luca has 3 packs of baseball cards. There are 5 cards in
each pack. His friend Noah gave him 6 more cards. Which
expression shows the baseball cards that Luca has?
(3 X 6 )+ 5
(3 X 5) + 6
5 X (6 + 3)
5 + (6 + 3)
Luca has 3 packs of baseball cards. There are 5 cards in
each pack. His friend Noah gave him some more cards.
Let n represent the cards from Noah. Which expression
shows all of the baseball cards Luca has?
(3 X n )+ 5
(3 X 5) + n
5 X (n + 3)
5 + (n + 3)
PICK A PAIR
Several shapes are shown below:
There is a relationship between the number of the shape and the number
of sides that each shape has. If this same pattern continues, which
expression below can be used to find the number of sides of Shape 6 ?
a. 6 + 1
b. 6 + 2
c. 6 x 1
d. 6 x 2
MA.4.A.4.1
Generate algebraic rules and use
all four operations to describe
patterns, including nonnumeric
growing or repeating patterns.
Patterns are assessed in various ways.
A number pattern is shown below:
3, 6, 9, 12, 15, 18 …
What algebraic rule can be used to describe the pattern?
a. add 1 to the previous number
b. add 3 to the previous number
c. multiply the previous number by 3
d. multiply the previous 2 numbers
Elijah made a pattern using squares for his social studies project on
pyramids. The first four figures in the pattern are shown below.
If Elijah continues the pattern, what should be the total number of
squares in Figure 5?
MA.4.A.4.3
Recognize and write algebraic
expressions for functions with two
operations
Rule: multiply by 2 then add 5
Expression: 2x + 5
FUNCTION
TABLE
IN
OUT
1
2
6
12
3
10
18
?
NOT A FUNCTION
TABLE
SEATS
ROWS
1
2
3
10
32
40
48
?
Function Tables
Input X
3
6
Output Y
8
5
10
11
8
?
Rule: input + 3 = output
Expression:
x+3=y
Input
X
Output
Y
Rule:
Expression:
Input
X
Output
Y
4
9
7
15
5
11
8
?
Rule:
Input times 2 plus1 = output
Expression:
2x + 1 = y
Input
X
Output
Y
Rule:
Expression:
Understanding Functions
Jessica has lost 5 pounds. She plans to lose 3
pounds each week until her wedding day.
Let w represent the number of weeks until the
big day.
What expression could represent the total
number of pounds Jessica intends to lose
before her wedding?
Lauren was excited about the purchase of her new
car. When she picked up the car, there were 25 miles
on the odometer. She will drive15 miles to and from
work each day. What expression could represent the
miles Lauren drives in d days?
EQUALITY
6 x 4 = (40 ÷ 5) x
3
Nicholas wants to buy 24 shirts for the soccer team. Each shirt costs
$9. Which equation could Nicholas use to help him find t, the total
cost the team shirts?
Greg and Rachel worked on their homework for 2 hours last night. Greg
worked for 20 fewer minutes than Rachel. Let n represent the minutes
that Rachel worked on her homework. What equation would help you find
how long Greg spent on his homework?
Match the equations to
the word problems.
Equation
Word Problem
How will the information
from this workshop be
incorporated into your
math program?