Everyday Math Grade 4 – Lesson 3.10 Open Sentences Copyright © 2010 Kelly Mott

Math Boxes Lesson 3.10 Page 72

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Everyday Math Grade 4 – Lesson 3.10 Open Sentences Copyright © 2010 Kelly Mott

PART 1: REVIEW Copyright © 2010 Kelly Mott

A number sentence is a short way of writing a mathematical expression. EXAMPLE I could write: eight plus six equals fourteen or I could write it this way: = 14 Number Sentences Copyright © 2010 Kelly Mott

A number sentence can be TRUE. EXAMPLE 5 x 2 = 10 Number Sentences Copyright © 2010 Kelly Mott

A number sentence can be FALSE. EXAMPLE = 6 Number Sentences Copyright © 2010 Kelly Mott

= 29 Circle: True or False Is it TRUE or FALSE? Copyright © 2010 Kelly Mott > 51 Circle: True or False

Some number sentences use PARENTHESES. EXAMPLE (6 – 2) + 4 = 8 Number Sentences Copyright © 2010 Kelly Mott

To solve these, you must do what’s in the PARENTHESES first. (6 – 2) + 4 = 8 Number Sentences Copyright © 2010 Kelly Mott

A.(16 - 6) x 2 = ______________ B.16 - (6 x 2) = ______________ Number Sentences Copyright © 2010 Kelly Mott

C. (8 + 2) x 5 = ______________ D. 8 + (2 x 5) = ______________ Number Sentences Copyright © 2010 Kelly Mott

Sometimes you have to tell if a number sentence is TRUE or FALSE. Number Sentences Copyright © 2010 Kelly Mott

A.(2 x 5) + 10 = 25 True or False B. 10 = 4 + (3 x 2) True or False Number Sentences Copyright © 2010 Kelly Mott

Sometimes you have to add PARENTHESES to make a number sentence true. EXAMPLE x 4 = 8 Number Sentences Copyright © 2010 Kelly Mott

x 4 = 8 MAKE THE SENTENCE TRUE Copyright © 2010 Kelly Mott CHECK LIST: ___ Circle the relationship symbol (= ) ___ Start with the side that has numbers and operations. ___ Try parentheses around the first set of numbers and operation. ___ Do the math. ___ See if it’s true. ___ If not true, put parentheses around the next set of numbers and try again.

5 x = 30 MAKE THE SENTENCE TRUE Copyright © 2010 Kelly Mott CHECK LIST: ___ Circle the relationship symbol (= ) ___ Start with the side that has numbers and operations. ___ Try parentheses around the first set of numbers and operation. ___ Do the math. ___ See if it’s true. ___ If not true, put parentheses around the next set of numbers and try again.

8 x = 24 MAKE THE SENTENCE TRUE Copyright © 2010 Kelly Mott CHECK LIST: ___ Circle the relationship symbol (= ) ___ Start with the side that has numbers and operations. ___ Try parentheses around the first set of numbers and operation. ___ Do the math. ___ See if it’s true. ___ If not true, put parentheses around the next set of numbers and try again.

12 ÷ 4 x 3 = 9 MAKE THE SENTENCE TRUE Copyright © 2010 Kelly Mott CHECK LIST: ___ Circle the relationship symbol (= ) ___ Start with the side that has numbers and operations. ___ Try parentheses around the first set of numbers and operation. ___ Do the math. ___ See if it’s true. ___ If not true, put parentheses around the next set of numbers and try again.

PART 2: OPEN SENTENCES Copyright © 2010 Kelly Mott

A number sentence is open if it has a VARIABLE. EXAMPLE 12 + x = 15 Number Sentences Copyright © 2010 Kelly Mott

A VARIABLE is a letter or symbol that stands for a missing number x = 15 Number Sentences Copyright © 2010 Kelly Mott

To solve sentences with variables, oftentimes you will use the INVERSE operation. Number Sentences Copyright © 2010 Kelly Mott

If an open sentences says to add, we subtract to find the answer. Number Sentences Copyright © 2010 Kelly Mott

51 = n + 29 n = _______ Open Number Sentences Copyright © 2010 Kelly Mott 12 + b = 55 b = ________

33 = s + 24 s = _______ Open Number Sentences Copyright © 2010 Kelly Mott 67 + y = 102 y = ________

If the variable is in the first position in a subtraction problem, we add to solve it. Number Sentences Copyright © 2010 Kelly Mott

17 = z - 8 z = _______ Open Number Sentences Copyright © 2010 Kelly Mott t - 9 = 14 t = ________

41 = k - 18 k = _______ Open Number Sentences Copyright © 2010 Kelly Mott f - 7 = 23 f = ________

If the variable is in the second position in a subtraction problem, we subtract. Number Sentences Copyright © 2010 Kelly Mott

5 = 18 - k k = _______ Open Number Sentences Copyright © 2010 Kelly Mott 41 - f = 23 f = ________

16 = 38 - k k = _______ Open Number Sentences Copyright © 2010 Kelly Mott 17- f = 11 f = ________

If an open sentences says to multiply, we divide to find the answer. Number Sentences Copyright © 2010 Kelly Mott

18 = 2 * x x = _______ Open Number Sentences Copyright © 2010 Kelly Mott 4 * w = 24 w =________

18 = 2 * x x = _______ Open Number Sentences Copyright © 2010 Kelly Mott 4 * w = 24 w =________

77 = 7 * y y = _______ Open Number Sentences Copyright © 2010 Kelly Mott 5 * h = 60 h =________

If an open sentences says to divide, we divide to find the answer. Number Sentences Copyright © 2010 Kelly Mott

7 = 21/x x = _______ Open Number Sentences Copyright © 2010 Kelly Mott 18/w= 9 w =________

6 = 24/s s = _______ Open Number Sentences Copyright © 2010 Kelly Mott 36/f= 12 f =________

If the variable is in the answer, we solve it straight out. Number Sentences Copyright © 2010 Kelly Mott

x = 7 * 3 x = _______ Open Number Sentences Copyright © 2010 Kelly Mott 8 * 8 = z z =________

y = 21/3 y = _______ Open Number Sentences Copyright © 2010 Kelly Mott 14/2= t t =________

Does this make sense? Copyright © 2010 Kelly Mott

a

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