Assess Readiness
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Look at Part 1. Which of the equations shown are true equalities? How do you know?
A)
48+4=4\cdot13 and D)78-53=28-3 are true equalities. Answers vary; encourage students to see that both sides of the equation must simplify to the same value. -
Look at Part 2. To translate this sentence into an equation, what will you use to represent the unknown number?
A variable (a letter).
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Let x represent the unknown number in Part 2. What equation represents this sentence?
\frac{56}{x}=8 -
Is 14 a solution to
\frac{56}{x}=8 ? How do you know?No. Answers vary; encourage students to see that when you substitute
x=14 into the equation, you get a false equality. -
Is –7 a solution to
\frac{56}{x}=8 ? How do you know?No. Answers vary; encourage students to talk about the rules regarding negative numbers and division.
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Look at A) in Part 3. Will the value of q be positive or negative? How do you know?
Positive. Answers vary; encourage students to talk about the rules regarding multiplication and division of negative numbers.
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How can you solve the equation in A) of Part 3 using inverse operations?
Divide both sides by –12.
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Look at B) in Part 3. If you wanted to solve for a using inverse operations, what would you do?
Subtract 3.8 from both sides of the equation.
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Why do you subtract 3.8 from both sides instead of adding 3.8 to both sides?
Answers vary; encourage a discussion about inverse operations and balancing equations.
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| ASSESS READINESS | MISCONCEPTIONS | WARM UP | FOCUS | EXTEND | FINISH |