Instructional Strategies Aligned to the 1997 Grade 3 MAP2D Trimester 1 Instructional Strategies Aligned to the 1997 California Content Standards Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

PROBLEM SOLVING WORDS add addition sum total plus in all in addition to increased by enlarged by gain rose greater than combine together subtract subtraction less than minus take away decreased by diminished by reduced by How many more than? How many fewer than? How many left? fewer than difference dropped loss of multiply multiplied by times of by product at groups of each every divide into quotient per parts distributed among How much for each? How many groups? fractions each every Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Problem Solving Strategy “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 3

MAP2D SBA #1 Place Value Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Let’s Find Place Value to 10,000 Write a number in the place value chart to find the value of each digit in a number. thousands hundreds tens ones TH H T O 3 5 1 Example: “What is the value of the three in the number three thousand fifty-one” ? Answer: 3000 Chapter 1 Lesson 3 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Let’s Write Numbers in Different Ways thousands hundreds tens ones 5 6 4 5 Write the number 5,645 in expanded form. TH H T O Chapter 1 Lesson 4 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Let’s Write Numbers in Different Ways thousands hundreds tens ones 5 6 4 5 Write the number 5,645 in expanded form. 5 6 4 5,000 + 600 + 40 + 5 Chapter 1 Lesson 4 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Let’s Write Numbers in Different Ways thousands hundreds tens ones 5 6 4 5 Write 5,000 + 600 + 40 + 5 in Standard Form. Write the expanded form in vertical/working form 5,000 600 40 + 5 5,645 Chapter 1 Lesson 4 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

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 3

Let’s Compare Numbers We can compare numbers using >, < and = signs. 25 30 35 32 25 26 27 28 29 30 31 32 33 34 35  Line up the numbers vertically 25 35 30 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. Now compare these highlighted digits to compare the value. 25 < 30 35 > 32 Chapter 2 Lesson 1 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Let’s Order Numbers We can compare a set of numbers by ordering them from least to greatest. 7,893 7,080, 7,870 Line up the numbers vertically. 7,893 7,080 7,870  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. 7,893 greatest least 7,870 middle Now compare these highlighted digits to compare the value. 7,080 7,870 7,893 Chapter 2 Lesson 2 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

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.  Circle the digit to the right of the underlined place.  If the circled digit is 5 or greater, add one to the underlined place and change all digits to the right to zeros. or  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 3

Let’s Round Numbers! Example: What is 5,638 rounded to the nearest thousand? 4 or less, stays the same 5 or higher, add one more 5,500 5,000 6,000 5,638 On the number line, 5,638 is between 5,000 and 46,000 but is closer to 6,000. 5, 6 38 6,000 Ch 2 L 6 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Addition and Subtraction MAP2D SBA #2 Addition and Subtraction Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

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 3

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 - 124 121 Check with addition…. 121 +124 245 Chapter 4 Lesson 2 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

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?” Check with addition…. 1 129 +154 283 10 ones plus 3 ones 7 13 1 2 9 Chapter 4 Lesson 4 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Making Change U – How much change should he get back? Trevor has $5.00 to buy a new book that costs $4.75. How much change should he get back? Use the UPS Strategy 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¢ 9 4 10 10 Chapter 22 Lesson 2 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Let’s Find Patterns 25, 30, 35, __, 45, 50  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 Chapter 4 Lesson 7 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

MAP2D SBA #3 Multiplication Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Let’s Solve for Missing Factors ! Hint: Think of a balance 9 × d = 20 + 7 To solve an equation, both sides of the equal sign need to be the same. 9 × d = 20 + 7  9 × d = 2 7 Think 9 × what = 27? 9 × 3 = 27 Think nine groups of what = 27? 9 × 3 = 2 7 Chapter 8 Lesson 2 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

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 8 Lesson 4 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Let’s Choose the Operation Symbol 9  5 = 45  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 ) It’s All About the Facts (+,-,x,÷) Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3

Think: What operation makes numbers greater? Hint: Look at the numbers! Is there a pattern? Are the numbers getting bigger or smaller? Find the Rule The 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 Ch 8 L 1 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 3