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CCSS HSF-LE.A.1.a Worksheets

Algebra 1 · Linear, Quadratic, & Exponential Models

Show that linear functions grow by equal differences over equal intervals, while exponential functions grow by equal factors over equal intervals.

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Deliver a whole lesson on HSF-LE.A.1.a from a textbook-grade teaching unit, with a hook, worked examples, diagrams, misconceptions, and an exit ticket.

Teaching guide

What students learn

Show that linear functions grow by equal differences over equal intervals, while exponential functions grow by equal factors over equal intervals.

Worked example
A table gives x: 0, 1, 2, 3 and y: -4, -6, -8, -10. Is this table linear or exponential? Justify your answer.
Answer: Linear
Why: Consecutive differences: -6 - -4 = -2, -8 - -6 = -2, -10 - -8 = -2. The DIFFERENCE is constant (-2) over equal intervals of x, so the table is linear.

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More Algebra 1 standards: HSA-REI.B.4.a · HSA-REI.B.4.b · HSA-APR.A.1 · HSF-LE.A.1.c · HSF-LE.A.2 · HSN-RN.A.1 · HSN-RN.A.2
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