Georgia 6.PAR.7.3
The Standard
Solve problems by writing and solving equations of the form x + p = q, px = q and x/p = q for cases in which p, q and x are all nonnegative rational numbers.
Georgia's K-12 Mathematics Standards · Write and solve one-step equations and inequalities as mathematical models to explain authentic, realistic situations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students translate a realistic situation into a one-step equation and find the unknown using an inverse operation. They work with nonnegative whole numbers, decimals, and fractions, then check whether the answer fits the context.
What Mastery Looks Like
- Students choose an equation that matches the quantities and their relationship. They solve accurately with whole numbers, decimals, or fractions, then verify the result by substitution and label it with the correct unit.
Common Misconceptions
- Students may choose an operation from a keyword without considering the quantities, such as multiplying when a total is shared equally. They may use the inverse operation on only one side, divide in the wrong order, or ignore units when checking an answer.
How to Assess It
- Exit ticket: A 2.5-liter jug fills 4 identical bottles. Write an equation, find the amount in each bottle, and check your answer.
Lesson moves
Ways to Teach It
Use fraction strips to model a known total split into equal groups, then write and solve the matching equation.
Ask students to explain how the equations 3x = 12 and x/3 = 12 describe different situations.
Run a card sort matching situation cards, equation cards, and solution cards with whole numbers, decimals, and fractions.
Have students find an unknown grocery price, recipe amount, or distance from a receipt, recipe card, or simple map.
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Printable 6.PAR.7.3 Worksheet
A ready-to-print activity worksheet aligned to 6.PAR.7.3, with an answer key for the teacher on its own page. No account needed.
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