1. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 1 Grade 5 MAP 2 D Trimester 3 Instructional Strategies Aligned to the 1997 California Content Standards

2. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 2 MAP 2 D SBA #7 Algebra and the Coordinate Plane

3. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 3 Parentheses Multiply or Divide from Left to Right Exponents Add or Subtract from Left to Right Ch. 14 L 2

4. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 4 P Parentheses MD Multiply or Divide from Left to Right E Exponents AS Add or Subtract from Left to Right Order of Operations (there are none here) (perform 2 squared first) (divide 4  2 and multiply 2  3) (subtract 4-2, then add 6) PROBLEM: Simplify 2 2 – 4  2 + 2  3 2 2 – 4  2 + 2  3 4 – 4  2 + 2  3 4 – 2 + 6 2 + 6 8 Ch 14 L 2

5. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 5 Parentheses First Add or Subtract from Left to Right Multiplication or Division from Left to Right Ch. 14 L 2 60 – 3 x (10 + 8) 60 – 3 x 18 60 - 54 6

6. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 6 Ch. 14 L 2 Parentheses First Substitute for the variable Multiplication or Division from Left to Right (No Addition or Subtraction) 4 x ( p + 15) 4 x 20 4 x (5 + 15) 80 p = 5

7. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 7 Ch. 14 L 2 m = 6 (10 + m) 4 Substitute for the variable Parentheses First Multiplication or Division from Left to Right (No Addition or Subtraction) (10 + 6) 4 16 4 4

8. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 8 Ch. 14 L 2 n = 6 54 + 5 9n + 5 9 6 + 5 59 Substitute for the variable (No Parentheses) Multiplication or Division from Left to Right Add or Subtract from Left to Right

9. The Distributive Property Four is multiplying the quantity “x + 3” That means four will multiply both the x and the 3!  Multiply 4 times x PROBLEM: 4(x + 3)  Copy the operation sign  Multiply 4 times 3 4(x + 3) 4 times x4 times 3 4x4x+12 Ch 14 L 5

10. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 10 Ch 19 L 5 Rewrite the equation on the side of the function table Substitute the given value for the known variable

11. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 11 Now we will graph the ordered pairs. xy 0 1 2 y = x + 2 2 3 4 (, ) Draw a line through the points. Label the line with the equation. Ch 19 L 5

12. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 12 Now we will graph the ordered pairs. xy 0 1 2 y = x + 2 2 3 4 (, ) Ch 19 L 5

13. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 13 MAP 2 D SBA #8 Fractions Multiplication & Division

14. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 14 Let’s Multiply Fractions! PROBLEM:  REWRITE the expression  FACTOR composite numbers 3 3  DIVIDE OUT common factors (CANCEL) 2 4 2 2  MULTIPLY any remaining factors The Matching Factors Method Ch 10 L 2 1 1 1 1

15. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5 Let’s Multiply Fractions! PROBLEM:  REWRITE the expression  Look for numbers with common factors in the numerator & denominator  DIVIDE OUT common factors (CANCEL) The Canceling Method 2 goes into both 2 and 8 3 goes into both 3 and 9 11 34 2 into 2 is? 2 into 8 is? 3 into 3 is? 3 into 9 is? Ch 10 L 2

16. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5 16 Let’s Multiply Fractions! PROBLEM:  REWRITE the expression  Look for numbers with common factors in the numerator & denominator  DIVIDE OUT common factors (CANCEL)  MULTIPLY any remaining factors The Canceling Method 11 34 Ch 10 L 2

17. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5 17 Let’s Convert Mixed Numbers to Improper Fractions! How many thirds are in the whole number? FIRST multiply denominator by the whole number 3 x 4 NEXT PLUS how many thirds are in the fraction? 3 x 4 = 12 3 Keep the same denominator LAST The sum is the numerator 12 + 2 12 + 2 = 14 14 add the product to the numerator Ch 10.3 & 10.4

18. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5 18 Improper Fraction Divide Mixed Number 5 3 1 3 2 2 3 Let’s Convert Improper Fractions to Mixed Numbers! = = Ch 10.3 & 10.4

19. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 19 Let’s Divide Fractions! PROBLEM:  CIRCLE the  and the divisor  REWRITE as multiplication by the reciprocal  REVERSE everything in the circle!  MULTIPLY & Simplify 2 10 2 5    Ch 10 L 7 1 1

20. Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 20 MAP 2 D SBA #9 Problem Solving

21. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5 21 “Multistep Problem” 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.

22. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5 22 “Choose the Operation” This table will help you decide which operation you can use to solve the problem. AddJoin groups of the same or different sizes SubtractTake away or compare groups MultiplyJoin equal-size groups DivideSeparate 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?

23. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5 23 “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 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.

24. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5 24 “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 = 56Let s represent the number of rows of seats. s = ?