Guided Reading (Example)

Course/ Subject: Alg. I

Text / Possible Questions / Response
Solving Systems Using Substitution / What does this title tell you?
Problem:
From a car wash, a service club made $109 that was divided between the Girl Scouts and Boy Scouts. There were twice as many girls as boys, so the decision was made to give the girls twice as much money. How much did each group receive? / Before you read further, how would you translate this story problem into equations?
In words, write out the first step for solving this problem.
Translate each condition into an equation. Suppose the Boy Scouts receive B dollars and the Girl Scouts receive G dollars. We number the equations in the system for reference. / What do they mean here by “condition”?
Translate your written explanation to solve algebraically.
The sum of the amounts is $109.
(1) B + G = 109
Girls get twice as much as boys.
(2) G = 2B / Did you come up with two equations in answer to question 2 above? Are the equations here the same as yours? If not, how are they different? Can you see a way to substitute?
In words, write out the next step for solving this problem.
Since G = 2B in equation (2), you can substitute 2B for G in equation (1). / How is substitution used in this step?
Translate your written explanation to solve algebraically.
B + 2B = 109
3B = 109
B = 36 ⅓ / How do they arrive at this equation?
Do you see how it follows?
Does it make sense? How did they get this?
In words, write out the next step for solving this problem.
To find G, substitute 36 ⅓ for B in either equation. We use equation (2) / Do this, then we’ll read the next part.
Translate your written explanation to solve algebraically.
G = 2B
=2 x 36 ⅓
=72 ⅔ / Why is it acceptable to use either equation?
Check your work.
Will the groups receive a total of $109?
$36.33 + $72.67 = $109.
Will the girls get twice as much as the boys?
Yes, because $72 is twice as much as $36. / Are both conditions satisfied?
How would you show this?
Write the final answer in a sentence so that it answers the question in the prompt.
So the solution is (B, G) = (36 ⅓, 72 ⅔)
The Boy Scouts will receive $36.33 and the Girl Scouts will get $72.67. / Did you get the same result?
Text / Possible Questions / Response
Title / What does this title tell you?
Problem:
In words, write out the first step for solving this problem.
Translate your written explanation to solve algebraically.
In words, write out the next step for solving this problem.
Translate your written explanation to solve algebraically.
In words, write out the next step for solving this problem.
Translate your written explanation to solve algebraically.
Check your work.
Write the final answer in a sentence so that it answers the question in the prompt.