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Transcript of Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3 1 Grade 3 MAP 2 D...
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 31
Grade 3 MAP2D
Trimester 1Instructional Strategies
Aligned to the 1997California Content Standards
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 32
addadditionsumtotalplusin allin addition toincreased byenlarged by
PROBLEM SOLVING WORDSsubtractsubtraction less than
minus take away
decreased bydiminished byreduced byHow many more than?How many fewer than?How many left?
multiplymultiplied bytimesofbyproductatgroups ofeach every
divideintoquotientperpartsdistributed amongHow much for each?How many groups?
fractionseachevery
fewer thandifferencedroppedloss of
gainrosegreater thancombinetogether
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 33
Problem Solving Strategy “U-P-S”
U
P
S
Understand: Read the problem and think about the question. Each word is important. Missing a word or reading it incorrectly could cause you to get the wrong answer.
Plan: Think about how you can solve the problem. Look for key words and numbers. What do you need to do first? What do you need to do next?
Solve: Follow your plan, working logically and carefully. Make sure you solved all steps needed to answer the problem. Be sure you answered the question asked.
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 34
MAP2D
SBA #1
Place Value
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 35
Let’s Find Place Value to 10,000
thousands hundreds tens ones
Write a number in the place value chart to find the value of each digit in a number.
Chapter 1 Lesson 3
TH H T O
3 0 5 1
3 0 0 0
Example:
“What is the value of the three in the number three thousand fifty-one” ?
Answer: 3000
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 36
Let’s Write Numbers in Different Ways thousands hundreds tens ones
5 6 4 5
Write the number 5,645 in expanded form.
Chapter 1 Lesson 4
TH H T O
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 37
Let’s Write Numbers in Different Waysthousands hundreds tens ones
5 6 4 5
Write the number 5,645 in expanded form.
Chapter 1 Lesson 4
5,000 + 600 + 40 + 5
5 6 4 5
5 0 0 0
6 0 0
4 0
5
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 38
Let’s Write Numbers in Different Ways thousands hundreds tens ones
5 6 4 5
Write the expanded form in vertical/working form
5,000
600
40
+ 5
5,645Chapter 1 Lesson 4
Write 5,000 + 600 + 40 + 5 in Standard Form.
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 39
Let’s Write Numbers in Different Ways thousands hundreds tens ones
5 6 4 5
Write in 5,000 + 600 + 40 + 5 in Standard Form.
Write the expanded form in vertical/working form
5,000
0,600 Fill in the spaces with zeros.
+ 0,040
0,005
5,645 Now you have the standard form.
Chapter 1 Lesson 4
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 310
Let’s Compare Numbers
Line up the numbers vertically 25 3530 32
Start at the left to compare digits in the greatest place first. Highlight the digits in the first vertical column where the digits are different.
③ Now compare these highlighted digits to compare the value.
We can compare numbers using >, < and = signs.
Chapter 2Lesson 1
25 26 27 28 29 30 31 32 33 34 35
25 < 30 35 > 32
25 30 35 32
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 311
Let’s Order Numbers
Line up the numbers vertically.
7,8937,0807,870
Start at the left to compare digits in the greatest place first. Highlight the digits in the first vertical column where the digits are different. Continue moving to the next column.
We can compare a set of numbers by ordering them from least to greatest.
7,893 7,080, 7,870
Chapter 2Lesson 2
greatest
middle
least7,893
7,870
7,080 7,870 7,893
Now compare these highlighted digits to compare the value.
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 312
Let’s Round Numbers!Long Beach Lifeguards reported to the Press Telegram that there were 2,857 people at the beach on Sunday. Round this to the nearest __________
Underline the word that comes after “nearest”. Underline the digit in the indicated place.
If the circled digit is 5 or greater, add one to the underlined place and change all digits to the right to zeros.
Circle the digit to the right of the underlined place.
If the circled digit is 4 or less, keep the underlined place and change all digits to the right to zeros.Chapter 2
Lesson 4
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 313
Let’s Round Numbers!Example: What is 5,638 rounded to the nearest thousand?
5,000 6,0005,638
On the number line, 5,638 is between 5,000 and 46,000 but is closer to 6,000.
5, 6 38 6,000Ch 2 L 6
5,5004 or less, stays the same
5 or higher, add one more
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 314
MAP2D
SBA #2
Addition and Subtraction
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 315
Let’s Solve Algebra Equations !
To solve an equation, both sides of the equal sign need to be the same.
Hint: Think of a balance
17 + 8 = + 12
25 = + 12 What is the difference between 25 and 12?
25 - 12
13 25 = 13 + 12
Chapter 3 Lesson 2
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 316
Subtraction with Regrouping
Start in the ones column with the top number and ask, “Is the number greater or equal to the number below?” If your answer is “yes”, then begin subtracting.
H TO
245 - 124
121Chapter 4Lesson 2
Check with addition….
121+124 245
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 317
Subtraction with Regrouping
If your answer is “No”, then regroup the tens to add to the ones.
H T O
2 8 3 - 1 5 4
“Always ask yourself, “Do I need to regroup?”
7 13
921
10 ones plus 3 ones
Chapter 4Lesson 4
Check with addition….
1 129+154 283
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3
Making Change
Chapter 22Lesson 2
Trevor has $5.00 to buy a new book that costs $4.75. How much change should he get back?
U – How much change should he get back?
P – “change”, - , $5.00, $4.75
S - $5.00 - $4.75 =
$5.00
- $4.75
$0.25 or 25¢
Use the UPS
Strategy
4 10 109
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 319
Let’s Find Patterns
Subtract to find the difference between two “neighbors” in the pattern.
30 – 25 = 5 35 – 30 = 5
Then use this difference ( 5 ) to find the missing number in the pattern.
45 – 5 = 40
The pattern is 25, 30, 35, 40, 45, 50
25, 30, 35, __, 45, 50
Chapter 4Lesson 7
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 320
MAP2D
SBA #3
Multiplication
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 321
Let’s Solve for Missing Factors !
To solve an equation, both sides of the equal sign need to be the same. 9 × d = 20 + 7
9 × d = 2 7
9 × d = 20 + 7
Chapter 8 Lesson 2
Hint: Think of a balance
Think 9 × what = 27?
9 × 3 = 27Think nine groups of
what = 27?
9 × 3 = 2 7
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 322
What is the missing number?
To solve an equation, both sides of the equal sign need to be the same.
Hint: Think of a balance
12 x ( 6 x 3 ) = (3 x __ ) x 12
If we have a 12, 6, and 3 on one side of the equal sign, we need to have a 12, 6, and 3 on the other side. The missing factor then is 6.
12 x ( 6 x 3 ) = (3 x 6 ) x 12 216 = 216
Associative Property of Multiplication: Changing the way in which the factors are grouped does not change the product.Chapter 8Lesson 4
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 323
Let’s Choose the Operation Symbol
Look at the numbers on the side of the equation with the missing operation sign.
If the numbers are smaller than the given answer you must add or multiply to get the larger answer.
Ask yourself does 9 + 5 = 45? No
Ask yourself does 9 x 5 = 45? Yes
The missing operation symbol is multiplication ( x )
9 5 = 45
It’s All About the Facts(+,-,x,÷)
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 324
Ch 8 L 1
Number of Teams
Numbers of Players
1 5 2 10 3 15
Find the RuleThe table shows the number of players needed for different number of teams.
If each team has the same number of players, how many players are needed for 5 teams?
Think: What
operation makes
numbers greater?
+ and ×
Think…… 1 +__ = 5, so…. 1 + 4 = 5, rule is +4…try it!
Does 2 + 4 = 10?, no
Think….. 1 x ___ = 5, so….1 x 5 = 5, rule is x 5…try it!
Does 2 x 5 = 10? Yes,
Does 3 x 5 = 15? Yes
The rule is x 5.
Answer the question: How many players are needed for 5 teams? 5 x 5 = 25. 25 players
Hint: Look at the numbers!
Is there a pattern? Are the numbers getting bigger
or smaller?