# Instructional Strategies Aligned to the 1997

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Instructional Strategies Aligned to the 1997

Multiply or Divide from Left to Right
Order of Operations Parentheses Exponents Multiply or Divide from Left to Right Add or Subtract from Left to Right 4  2 + (2 x 3) Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 Ch. 6 L 3

PROBLEM: Simplify 4  2 + (2 x 3)
Order of Operations PROBLEM: Simplify 4  2 + (2 x 3) Parentheses 4  2 + (2 x 3) (multiply 2 times 3) Exponents 4  (there are no exponents) Multiply or Divide from Left to Right (divide 4  2) Add or Subtract from Left to Right 8 (add 2 plus 6) Ch 6 L 3 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4

Let's Simplify Expressions

Let's Simplify Expressions

Let's Evaluate Expressions

Let's Evaluate Expressions

Let's Evaluate Expressions
Substitute for the variable 9 x (No Parentheses) 54 + 5 Multiplication or Division from Left to Right 59 Add or Subtract from Left to Right Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 Ch. 6 L 4

Let's Solve Algebraic Equations

Let's Solve Algebraic Equations

Let's Solve Algebraic Equations

Step 1 Step 2 Step 3 Let's Solve Equations Undo multiplication

Step 1 Step 2 Step 3 Let's Solve Equations Undo multiplication

Step 1 Step 2 Step 3 Let's Solve Equations Undo Division Simplify

Keep an Equation Equal by Adding the same amount to both sides! 3 + 4 = 4 + 3 Example 2: Example 1: = 45 + 6 = = = 18 18 = Ch 4 L 5 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4

Let’s Multiply Equals by Equals!
Keep an Equation Equal by Multiplying the same amount to both sides! 4 x 6 = 6 x 4 Example 1: 5 x 4 = 4 x 5 = Example 2: 2 x 3 x 8 = 2 x 3 x 2 x 3 x 8 = 2 x 3 x 8 = Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 Ch 6 L 6

Probability and Statistics

Let's Find the Median 35, 40, 81, 39, 40 Put the numbers in order from least to greatest: 35, 39, 40, 40, 81 1 Median: The Middle number of the data. Hint: If there is no middle number, add the two in the middle and divide by 2. 35, 39, 40, 40, 81 Median = 40 Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4 Ch. 13 L 3

Let's Find the Mode 35, 40, 81, 39, 40 Put the numbers in order from least to greatest: 35, 39, 40, 40, 81 1 Mode: The number that occurs Most often in the data. Hint: Sometimes there is no mode or more than one mode. 35, 39, 40, 40, 81 Mode = 40 Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4 Ch. 13 L 3

Let's Find the Outlier 35, 40, 81, 39, 40 Put the numbers in order from least to greatest: 35, 39, 40, 40, 81 1 Outlier: The value that is separated (“OUT”) from the rest of the data. 35, 39, 40, 40, 81 Outlier = 81 Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4 Ch. 13 L 4

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. Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4 Ch. 24 L 3

Let’s Make Predictions
You can predict (make a reasonable guess) about what might happen in an experiment. than not More often 1 1/2 Less often impossible unlikely equally likely certain likely Ch. 24 L 3 Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4

Let’s Show Probability as a Fraction
The probability of an event equals: yellow blocks P (Yellow) = blocks in the bag 1 Probablility of pulling a yellow block = 2 Ch. 24 L 4 Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4

Let’s List Possible Outcomes
You can make a list or a table to show the possible outcomes of an experiment. Outcomes 36 Outcomes (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 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

Let’s Make a Tree Diagram
1st Die 2nd Die Outcome You can use a tree diagram to find the possible outcomes of an event. 1 2 3 4 5 6 1, 1 1, 2 1, 3 1, 4 1, 5 1, 6 2, 1 2, 2 2, 3 2, 4 2, 5 2, 6 36 Outcomes 1 1 2 3 4 5 6 2 1 2 3 4 5 6 3, 1 3, 2 3, 3 3, 4 3, 5 3, 6 3 What are all the possible outcomes when 2 dice are rolled? 1 2 3 4 5 6 4, 1 4, 2 4, 3 4, 4 4, 5 4, 6 4 1 2 3 4 5 6 5, 1 5, 2 5, 3 5, 4 5, 5 5, 6 5 1 2 3 4 5 6 6, 1 6, 2 6, 3 6, 4 6, 5 6, 6 6 Lesson 24.6 Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4

MAP2D Problem Solving SBA #9

U P S “Multistep Problem”

“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? Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4

“Predict and Test” Make a list
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 What are 3 consecutive numbers whose sum is 15? Make a table Mary is thinking of two numbers. The sum of the numbers is 15, and the difference of the numbers is 3. 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 = ? Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4

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