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1 of 5 - Carnegie Learning

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<strong>Carnegie</strong> <strong>Learning</strong> Algebra 1 Correlations to Utah's Algebra 1<br />

Textbook<br />

Chatper<br />

S<strong>of</strong>tware<br />

Unit<br />

Objective 2<br />

Compute fluently and make reasonable estimates with rational<br />

and irrational numbers.<br />

c) Compute solutions to<br />

problems, represent answers in<br />

exact form, and determine the<br />

reasonableness <strong>of</strong> answers.<br />

d) Calculate the measures <strong>of</strong> the<br />

sides <strong>of</strong> a right triangle using the<br />

Pythagorean Theorem.<br />

13 41, 42<br />

Standard 2<br />

Students will extend concepts <strong>of</strong> proportion to represent and analyze linear relations.<br />

Objective 1 Represent and analyze the slope <strong>of</strong> a line.<br />

a) Identify the slope <strong>of</strong> a line<br />

when given points, a graph, or an<br />

equation.<br />

b) Identify horizontal and vertical<br />

lines given the equations or<br />

slopes.<br />

c) Determine the effect <strong>of</strong><br />

changes in slope or y-intercept in<br />

y = mx + b.<br />

5 10, 18, 21, 22<br />

5 10, 18, 21, 22<br />

5, 8 10, 18, 21, 22<br />

d) Determine and explain the<br />

meaning <strong>of</strong> slopes and intercepts<br />

using real-world examples.<br />

a) Write algebraic expressions or<br />

equations to generalize visual<br />

patterns, numerical patterns,<br />

relations, data sets, or scatter<br />

plots.<br />

5, 8<br />

1, 6,<br />

10, 18, 21,<br />

22, 26, 27<br />

1, 3, 6, 10,<br />

15, 18, 21<br />

Objective 2<br />

Model and interpret problems having a constant rate <strong>of</strong> change<br />

using linear functions.<br />

b) Represent linear equations in<br />

slope-intercept form, y = mx + b,<br />

and standard form, Ax+ By =C.<br />

5 18, 21, 22<br />

c) Distinguish between linear and<br />

non-linear functions by examining<br />

a table, equation, or graph.<br />

1, 2, 4, 5, 8 18, 23<br />

2 <strong>of</strong> 5

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