WELCOME TO BIG IDEA 1GRADE 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:

Phone Calls

Rest Rooms

BreaksLunch

PunctualitySharing

Group Norms:Participate

Listen with an open mind

Ask questions

Work toward solutionsLimit 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

Teaching For Depth

Teaching For Depth

MA.4.A.6.1Use 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

600500

.

4,444 XXXX

What are the periods of this number?

684,684,684,684,684

Tri l

l i on

Bill

ion

Mill

ion

Tho

usan

d

One

s

PERIOD NAMES

Each period has the same three places

684,684,684,684,684

Hun

dred

sT

e ns

T

rilli o

nO

nes

Hun

dred

sT

e ns

B

il li o

nO

nes

Hun

dred

sT

e ns

M

i l li o

nO

nes

Hun

dred

sT

e ns

Th o

usan

dO

nes

Hun

dred

sT

e ns

On e

sO

nes

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:

Expanded:

Thirty-five thousand, six hundred eighty-four

30,000 + 5,000 + 600 + 80 + 4

Word:

35,684

Graband GoCenter

MA.4.A.6.6Estimate and describe reasonableness of estimates; determine the appropriateness of an estimate versus an exact answer.

What are reasonable estimates for this number ?

672, 408

ESTIMATION

• Rounding to a specific place value

• Using benchmarks to make reasonable estimates

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

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 c. 90,000 b. 100,000 d. 80,000

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?

1.

2.

a. 150 c. 250 b. 200 d. 300

Equation10 = t + 3

Inequality 7+6 > 3+5

ALGEBRAIC THINKING

Expression t + 3Input

Output

MA.4.A.4.2 Describe mathematics relationships using expressions, equations, and visual representations.

variables expressions

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 c. 6 x 1 b. 6 + 2 d. 6 x 2

Several shapes are shown below:

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

Numerical Expressions

42 – 15 50 ÷ 5

Algebraic Expressions

n – 15 50 ÷ n

What’s the word problem?

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? 8 x 2 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? p x 2 p – 2 p ÷ 2 p + 2

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.

During the summer, Melissa read 5 more books than Justin. Justin read 11 books. Write an expression to show how many books Melissa read.

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

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 c. 6 x 1 b. 6 + 2 d. 6 x 2

Several shapes are shown below:

MA.4.A.4.1Generate algebraic rules and use all four operations to describe patterns, including nonnumeric growing or repeating patterns.

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 c. multiply the previous number by 3b. add 3 to the previous number d. multiply the previous 2 numbers

Patterns are assessed in various ways.

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.4.3Recognize and write algebraicexpressions for functions with twooperations

Rule: multiply by 2 then add 5 Expression: 2x + 5

FUNCTION TABLE

NOT A FUNCTION TABLE

IN OUT ROWS SEATS

1 62 12

3 1810 ?

1 322 403 48

10 ?

Function Tables

Rule:

Expression:

Input X

Output Y

36

8

11

5

8

10

?

input + 3 = output

x + 3 = y

InputX

OutputY Rule:

Expression:

InputX

OutputY

Rule:

Expression:

4 9

7 15

5 11 8 ?

Input times 2 plus1 = output

2x + 1 = y

InputX

OutputY Rule:

Expression:

Understanding FunctionsJessica 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

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 findhow long Greg spent on his homework?

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?

Equation Word Problem

Match the equations to the word problems.

How will the information from this workshop be incorporated into your math program?