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I know this is correct because the x and y values of the coordinate of the solution is exactly the same with the x and the y values in my algebraic solutions.

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Teachers can incorporate sentence frames in this particular task by getting students to start thinking about the process of how they get to their answers. Writing it down help students to process their thinking and others to build on top of their ideas.

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Why do you believe that f(5) < f(10), if that is what you believe...

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Why do you believe that f(5) < f(10), if that is what you believe...

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Allow students to explore on how and why as a follow-up of the starters.

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Allow students to explore on how and why as a follow-up of the starters.

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I will ask the students to predict which statements are true then use reasoning and mathematics to justify their predictions.

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The sentence starters will help students to write or discuss something.

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The sentence starters will help students to write or discuss something.

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f(0)= 65 does not equal zero. can you explain your reasoning . I am not sure that I understand.

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I will allow students to use the error analysis method with a partner. I will ask my students to write a paragraph of their analysis using the sentence starters given. Examples: Based on the evidence... I disagree...

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I will allow students to use the error analysis method with a partner. I will ask my students to write a paragraph of their analysis using the sentence starters given. Examples: Based on the evidence... I disagree...

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I could ask students to differentiate between the meaning of f(0),  f(5), f(40), etc.

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I could ask students to differentiate between the meaning of f(0),  f(5), f(40), etc.