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**Everyday Math Grade 4 – Lesson 3.10 Open Sentences**

Copyright © 2010 Kelly Mott

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**Lesson Components: Part 1: Math Boxes 3.10 Page 72**

Part 2: PowerPoint Lesson Part 3: Math Journal Pages 70-71 Part 4: Additional Sheets Copyright © 2011 Kelly Mott

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Math Boxes Lesson 3.10 Page 72 Copyright © 2010 Kelly Mott

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Math Box 1: Copyright © 2010 Kelly Mott

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Math Box 2: Copyright © 2010 Kelly Mott

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Math Box 3: Copyright © 2010 Kelly Mott

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Math Box 4: Copyright © 2010 Kelly Mott

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Math Box 5: Copyright © 2010 Kelly Mott

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Math Box 6 Copyright © 2010 Kelly Mott

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**Everyday Math Grade 4 – Lesson 3.10 Open Sentences**

Copyright © 2010 Kelly Mott

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PART 1: REVIEW Copyright © 2010 Kelly Mott 12

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Number Sentences 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 Copyright © 2010 Kelly Mott

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**A number sentence can be TRUE. EXAMPLE 5 x 2 = 10 **

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

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**A number sentence can be FALSE. EXAMPLE 6 - 2 = 6 **

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

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**25 + 3 = 29 Circle: True or False**

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

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**Some number sentences use PARENTHESES. EXAMPLE (6 – 2) + 4 = 8 **

Copyright © 2010 Kelly Mott

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**To solve these, you must do what’s in the PARENTHESES first.**

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

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**Number Sentences (16 - 6) x 2 = ______________**

Copyright © 2010 Kelly Mott

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**C. (8 + 2) x 5 = ______________**

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

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**Sometimes you have to tell if a number sentence is TRUE or FALSE.**

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

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**Number Sentences (2 x 5) + 10 = 25 True or False**

B = 4 + (3 x 2) True or False Copyright © 2010 Kelly Mott

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

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**16 - 2 x 4 = 8 MAKE THE SENTENCE TRUE 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. Copyright © 2010 Kelly Mott

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**5 x 7 - 5 = 30 MAKE THE SENTENCE TRUE 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. Copyright © 2010 Kelly Mott

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**8 x 2 + 1 = 24 MAKE THE SENTENCE TRUE 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. Copyright © 2010 Kelly Mott

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**12 ÷ 4 x 3 = 9 MAKE THE SENTENCE TRUE 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. Copyright © 2010 Kelly Mott

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PART 2: OPEN SENTENCES Copyright © 2010 Kelly Mott 28

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**A number sentence is open if it has a VARIABLE. EXAMPLE 12 + x = 15 **

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

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

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

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**If an open sentences says to add, we subtract to find the answer.**

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

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**Open Number Sentences 51 = n + 29 n = _______ 12 + b = 55 b = ________**

Copyright © 2010 Kelly Mott

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**Open Number Sentences 33 = s + 24 s = _______ 67 + y = 102**

Copyright © 2010 Kelly Mott

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

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**Open Number Sentences 17 = z - 8 z = _______ t - 9 = 14 t = ________**

Copyright © 2010 Kelly Mott

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**Open Number Sentences 41 = k - 18 k = _______ f - 7 = 23 f = ________**

Copyright © 2010 Kelly Mott

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

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**Open Number Sentences 5 = 18 - k k = _______ 41 - f = 23 f = ________**

Copyright © 2010 Kelly Mott

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**Open Number Sentences 16 = 38 - k k = _______ 17- f = 11 f = ________**

Copyright © 2010 Kelly Mott

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**If an open sentences says to multiply, we divide to find the answer.**

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

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**Open Number Sentences 18 = 2 * x x = _______ 4 * w = 24 w =________**

Copyright © 2010 Kelly Mott

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**Open Number Sentences 18 = 2 * x x = _______ 4 * w = 24 w =________**

Copyright © 2010 Kelly Mott

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**Open Number Sentences 77 = 7 * y y = _______ 5 * h = 60 h =________**

Copyright © 2010 Kelly Mott

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**If an open sentences says to divide, we divide to find the answer.**

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

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**Open Number Sentences 7 = 21/x x = _______ 18/w= 9 w =________**

Copyright © 2010 Kelly Mott

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**Open Number Sentences 6 = 24/s s = _______ 36/f= 12 f =________**

Copyright © 2010 Kelly Mott

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**If the variable is in the answer, we solve it straight out.**

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

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**Open Number Sentences x = 7 * 3 x = _______ 8 * 8 = z z =________**

Copyright © 2010 Kelly Mott

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**Open Number Sentences y = 21/3 y = _______ 14/2= t t =________**

Copyright © 2010 Kelly Mott

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Does this make sense? Copyright © 2010 Kelly Mott

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a Copyright © 2010 Kelly Mott

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Copyright © 2010 Kelly Mott

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MATH WORK Journal Pages 70-71 Copyright © 2010 Kelly Mott

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