Everyday Math Grade 4 – Lesson 3.10 Open Sentences Copyright © 2010 Kelly Mott
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
Math Boxes Lesson 3.10 Page 72 Copyright © 2010 Kelly Mott
Math Box 1: Copyright © 2010 Kelly Mott
Math Box 2: Copyright © 2010 Kelly Mott
Math Box 3: Copyright © 2010 Kelly Mott
Math Box 4: Copyright © 2010 Kelly Mott
Math Box 5: Copyright © 2010 Kelly Mott
Math Box 6 Copyright © 2010 Kelly Mott
Everyday Math Grade 4 – Lesson 3.10 Open Sentences Copyright © 2010 Kelly Mott
PART 1: REVIEW Copyright © 2010 Kelly Mott 12
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: 8 + 6 = 14 Copyright © 2010 Kelly Mott
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
A number sentence can be FALSE. EXAMPLE 6 - 2 = 6 Number Sentences A number sentence can be FALSE. EXAMPLE 6 - 2 = 6 Copyright © 2010 Kelly Mott
25 + 3 = 29 Circle: True or False Is it TRUE or FALSE? 25 + 3 = 29 Circle: True or False 55 - 3 > 51 Circle: True or False Copyright © 2010 Kelly Mott
Some number sentences use PARENTHESES. EXAMPLE (6 – 2) + 4 = 8 Copyright © 2010 Kelly Mott
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
Number Sentences (16 - 6) x 2 = ______________ Copyright © 2010 Kelly Mott
C. (8 + 2) x 5 = ______________ Number Sentences C. (8 + 2) x 5 = ______________ D. 8 + (2 x 5) = ______________ Copyright © 2010 Kelly Mott
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
Number Sentences (2 x 5) + 10 = 25 True or False B. 10 = 4 + (3 x 2) True or False Copyright © 2010 Kelly Mott
Number Sentences Sometimes you have to add PARENTHESES to make a number sentence true. EXAMPLE 16 - 2 x 4 = 8 Copyright © 2010 Kelly Mott
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
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
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
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
PART 2: OPEN SENTENCES Copyright © 2010 Kelly Mott 28
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
Number Sentences A VARIABLE is a letter or symbol that stands for a missing number. 12 + x = 15 Copyright © 2010 Kelly Mott
Number Sentences To solve sentences with variables, oftentimes you will use the INVERSE operation. Copyright © 2010 Kelly Mott
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
Open Number Sentences 51 = n + 29 n = _______ 12 + b = 55 b = ________ Copyright © 2010 Kelly Mott
Open Number Sentences 33 = s + 24 s = _______ 67 + y = 102 Copyright © 2010 Kelly Mott
Number Sentences If the variable is in the first position in a subtraction problem, we add to solve it. Copyright © 2010 Kelly Mott
Open Number Sentences 17 = z - 8 z = _______ t - 9 = 14 t = ________ Copyright © 2010 Kelly Mott
Open Number Sentences 41 = k - 18 k = _______ f - 7 = 23 f = ________ Copyright © 2010 Kelly Mott
Number Sentences If the variable is in the second position in a subtraction problem, we subtract. Copyright © 2010 Kelly Mott
Open Number Sentences 5 = 18 - k k = _______ 41 - f = 23 f = ________ Copyright © 2010 Kelly Mott
Open Number Sentences 16 = 38 - k k = _______ 17- f = 11 f = ________ Copyright © 2010 Kelly Mott
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
Open Number Sentences 18 = 2 * x x = _______ 4 * w = 24 w =________ Copyright © 2010 Kelly Mott
Open Number Sentences 18 = 2 * x x = _______ 4 * w = 24 w =________ Copyright © 2010 Kelly Mott
Open Number Sentences 77 = 7 * y y = _______ 5 * h = 60 h =________ Copyright © 2010 Kelly Mott
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
Open Number Sentences 7 = 21/x x = _______ 18/w= 9 w =________ Copyright © 2010 Kelly Mott
Open Number Sentences 6 = 24/s s = _______ 36/f= 12 f =________ Copyright © 2010 Kelly Mott
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
Open Number Sentences x = 7 * 3 x = _______ 8 * 8 = z z =________ Copyright © 2010 Kelly Mott
Open Number Sentences y = 21/3 y = _______ 14/2= t t =________ Copyright © 2010 Kelly Mott
Does this make sense? Copyright © 2010 Kelly Mott
a Copyright © 2010 Kelly Mott
Copyright © 2010 Kelly Mott
MATH WORK Journal Pages 70-71 Copyright © 2010 Kelly Mott