Mathematics Grade 4 15 min

Balance addition equations - up to two digits

Balance addition equations - up to two digits

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1

Introduction & Learning Objectives

Learning Objectives Understand that the equals sign means 'the same as' and represents a balance between two sides of an equation. Identify the unknown value (represented by a variable like 'x' or 'n') in an addition equation. Use the inverse operation of subtraction to find a missing addend in an equation. Solve for a variable in equations where both sides contain addition expressions (e.g., 25 + 10 = 15 + x). Verify their solution by substituting the value back into the original equation to confirm it is balanced. Create their own balanced addition equations with a missing value. Apply the concept of balancing equations to solve one-step word problems. Imagine a seesaw with your friend. How do you make it perfectly level and balanced? ⚖️ We&...
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Key Concepts & Vocabulary

TermDefinitionExample EquationA mathematical sentence stating that two expressions are equal. It always has an equals sign.15 + 10 = 25 is an equation. Equals Sign (=)A symbol that means 'is the same as' or 'has the same value as'. It shows that what is on the left side is perfectly balanced with what is on the right side.In 5 + 5 = 10, the equals sign shows that '5 + 5' has the same value as '10'. Balanced EquationAn equation where the total value on the left side of the equals sign is exactly the same as the total value on the right side.20 + 5 = 15 + 10 is a balanced equation because both sides equal 25. VariableA letter or symbol that takes the place of an unknown number we need to find.In the equation 12 + x = 20, the letter 'x' is th...
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Core Formulas

The Balancing Principle Left Side Value = Right Side Value This is the most important rule. To keep an equation balanced, the total value of everything on the left of the equals sign must be exactly the same as the total value of everything on the right. Finding a Missing Addend If a + x = b, then x = b - a To find a missing part (addend), you can use the inverse operation. Subtract the addend you know from the sum (the total) to find the missing addend.

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Sample Practice Questions

Challenging
Which equation correctly represents this sentence: '35 plus an unknown number, x, has the same value as 50 plus 12'?
A.35 + 50 = 12 + x
B.35 + x + 50 = 12
C.35 + x = 50 + 12
D.x = 35 + 50 + 12
Challenging
If 15 + a = 40, and a + b = 50, what is the value of b?
A.25
B.15
C.40
D.35
Challenging
A baker has two trays of cookies that must have the same number of cookies. Tray 1 has a batch of 24 chocolate chip cookies and a batch of 36 oatmeal cookies. Tray 2 has a batch of 30 sugar cookies and a new batch of 'c' snickerdoodle cookies. How many snickerdoodles are in the new batch?
A.60
B.90
C.20
D.30

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