Transcript PowerPoint
Grade 4 2 MAP D Trimester 3 Instructional Strategies Aligned to the 1997 California Content Standards 1 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 2 MAP D SBA #7 Algebra 2 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 Parentheses Exponents Multiply or Divide from Left to Right Add or Subtract from Left to Right 4 2 + (2 x 3) 3 Ch. 6 L 3 Order of Operations PROBLEM: Simplify 4 2 + (2 x 3) Parentheses (multiply 2 times 3) Exponents (there are no exponents) Multiply or Divide from Left to Right (divide 4 2) Add or Subtract from Left to Right (add 2 plus 6) 4 2 + (2 x 3) 4 2 + 6 2 + 6 8 Ch 6 L 3 4 (15 3) (20 10) 18 10 Parentheses First (No Multiplication or Division) 28 Add or Subtract from Left to Right 5 Ch. 4 L 2 300 (150 140) 20 300 290 20 (No Multiplication or Division) 10 20 Parentheses First Add or Subtract from Left to Right 30 6 Ch. 4 L 2 m6 (10 m) 4 (10 6) 4 16 4 12 7 Ch 4 L 3 p 5 4 ( p 15) 4 (5 15) 4 20 24 8 Ch. 4 L 3 n=6 Substitute for the variable (No Parentheses) Multiplication or Division from Left to Right Add or Subtract from Left to Right 9n + 5 9x6 +5 54 + 5 59 9 Ch. 6 L 4 Use inverse operation to find the missing variable. n 5 15 5 5 n 0 20 n 20 10 Ch. 4 L 4 Use inverse operation to find the missing variable. m 15 35 15 15 m 0 20 m 20 11 Ch. 4 L 4 Use inverse operation to find the missing variable. 5 k 5 5 5 10 k 0 10 k 12 Ch. 4 L 4 Step 1 Undo multiplication Step 2 Simplify Step 3 Check Ch 6 L 5 7k 42 7k 42 7 7 1k 6 k 6 7 6 42 13 Step 1 Undo multiplication Step 2 Simplify Step 3 Check 45 9n 45 9n 9 9 5 1n 5 n 45 9 5 14 Ch 6 L 5 Step 1 Undo Division Step 2 Simplify Step 3 Check Ch 6 L 5 c 5 9 c 9 5 9 9 1c 45 c 45 45 5 9 15 Let’s Add Equals by Equals! Keep an Equation Equal by Adding the same amount to both sides! 3+4 = 4+3 Example 2: Example 1: 45 + 6 = 45 + 4 + 10 + 8 = +4 45 + 6 = 45 + 4 + 10 + 8 = +4 6= 18 18 = Ch 4 L 5 16 Let’s Multiply Equals by Equals! Keep an Equation Equal by Multiplying the same amount to both sides! 4x6 Example 1: = 6x4 Example 2: 5x4=4x 2x3x8=2x3x 5x4=4x 2x3x8=2x3x 5= Ch 6 L 6 8= 17 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 2 MAP D SBA #8 Probability and Statistics Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4 18 35, 40, 81, 39, 40 Put the numbers in order from least to greatest: 35, 39, 40, 40, 81 Median: The Middle number of the data. Hint: If there is no middle number, add 35, 39, 40, 40, 81 the two in the middle Median = 40 Ch. 13 L 3 and divide by 2. Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4 19 35, 40, 81, 39, 40 Put the numbers in order from least to greatest: 35, 39, 40, 40, 81 Mode: The number that occurs Most often in the data. 35, 39, 40, 40, 81 Mode = 40 Ch. 13 L 3 Hint: Sometimes there is no mode or more than one mode. Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4 20 35, 40, 81, 39, 40 Put the numbers in order from least to greatest: 35, 39, 40, 40, 81 Outlier: The value that is separated (“OUT”) from the rest of the data. 35, 39, 40, 40, 81 Outlier = 81 Ch. 13 L 4 Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4 21 Likelihood of an Event The likelihood of an event is the probability that the event will occur. Some events are certain and you know that they must happen. For example, if you reach into this bag you will pull out a cube. Some events are impossible and you know that they can never happen. For example, if you reach into this bag you will not pull out a pig. Ch. 24 L 3 Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4 22 Let’s Make Predictions You can predict (make a reasonable guess) about what might happen in an experiment. Less often than not 0 impossible Ch. 24 L 3 unlikely More often than not 1/2 equally likely 1 likely Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4 certain 23 Let’s Show Probability as a Fraction The probability of an event equals: number of favorable outcomes P(event) number of possible outcomes P (Yellow) = yellow blocks blocks in the bag Probablility of pulling a yellow block Ch. 24 L 4 = 1 2 Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4 24 Let’s List Possible Outcomes You can make a list or a table to show the possible outcomes of an experiment. Outcomes (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) What are all the possible outcomes when 2 dice are rolled? (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Ch. 24 L1 Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4 25 36 Outcomes (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) Let’s Make a Tree Diagram What are all the possible outcomes when 2 dice are rolled? 1 2 1 2 3 4 5 6 3 4 5 6 Lesson 24.6 2nd Die Copyright ©, Long Beach Unified School District. 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 54 All rights reserved.- Grade 6 Outcome 2, 1 2, 2 2, 3 2, 4 2, 5 2, 6 4, 1 4, 2 4, 3 4, 4 4, 5 4, 6 6, 1 6, 2 6, 3 6, 4 6, 5 6, 6 1, 1 1, 2 1, 3 1, 4 1, 5 1, 6 36 Outcomes You can use a tree diagram to find the possible outcomes of an event. 1st Die 3, 1 3, 2 3, 3 3, 4 3, 5 3, 6 5, 1 5, 2 5, 3 5, 4 5, 5 5, 6 26 2 MAP D SBA #9 Problem Solving 27 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 “Multistep Problem” 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. U P S 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. 28 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 “Choose the Operation” This table will help you decide which operation you can use to solve the problem. Add Join groups of the same or different sizes Subtract Take away or compare groups Multiply Join equal-size groups Divide Separate into equal-size groups The cafeteria served 132 pizza lunches. Each pizza was cut into 12 slices. If each student received 1 slice, how many pizzas were served? 29 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 “Predict and Test” Sometimes, you can make an educated prediction to solve a problem and then test your prediction. Record your predictions with a list or table. Make a list Make a table What are 3 consecutive Mary is thinking of two numbers whose sum is 15? numbers. The sum of the numbers is 15, and the difference of the numbers is 3. 30 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 “Write an Equation” To write an equation, choose a variable to represent an unknown quantity. Remember that an equation is a number sentence that shows that two quantities are equal. Alan’s class has set up seats for the play. There are 7 seats in each row. There are 56 seats in all. How many rows of seats are there? s × 7 = 56 Let s represent the number of rows of seats. s = ? 31 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4