Haufe- Algebra 2 Concepts
Section outline
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Mrs Haufe
Room: 510
Phone: 545-5413
Email: angelah@susd12.org
Tutoring hours: Monday,Thursday and Friday 2:00-3:30
Sunnyside USD #12
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Students mustMark as done
Key terms in each unit and what is covered in each unit
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Students mustMark as done
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Students mustMark as done
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Description of Unit: This topic expands students’ understandings and skills related to exponential and logarithmic functions. Students will model situations with exponential functions, use exponents to solve logarithmic equations and logarithms to solve exponential equations, show that exponents and logarithms are inverse functions, and graph exponential and logarithmic functions
Key Vocabulary: asymptote, Change of Base Formula, common logarithms, continuously compounded interest, decay factor, exponential decay, exponential equation, exponential function, growth factor, logarithm, logarithmic equation, logarithmic function, logarithmic scale, natural base exponential functions, and natural logarithmic function.
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Description of Unit: This topic expands students’ understandings and skills related to rational functions, equations, and graphs. Students will identify and describe inverse and direct variation functions; graph asymptotes of rational functions; identify whether a rational function has an asymptote; differentiate between vertical, horizontal, and oblique asymptotes, and define the domains of simplified rational expressions to make them equivalent to the originals
Key Vocabulary: branch, combined variation, complex fraction, continuous graph, discontinuous graph, inverse variation, joint variation, non-removable discontinuity, oblique asymptote, point of discontinuity, rational equation, rational expression, rational function, reciprocal function, removable discontinuity, and simplest form.
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Description of Unit: This topic expands students’ understandings and skills related to sequences and series. Students will identify mathematical patterns found in a sequence, find a rule to describe a pattern, find the common difference of an arithmetic sequence, find the common ration of a geometric sequence, and determine whether a geometric series converges.
Key Vocabulary: arithmetic mean, arithmetic sequence, common difference, common ratio, converge, diverge, explicit formula, geometric mean, geometric sequence, geometric series, recursive formula, and term of a sequence.
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Description of Unit: This topic expands students’ understandings and skills related to quadratic relations and conic sections. Students will identify the possible conic sections formed depending on the angle of intersection of the cone and plane, graph functions of circles, identify conic sections based on their equations, and differentiate between ellipses and hyperbolas algebraically and graphically.
Key Vocabulary: axis of symmetry, center of a circle, center of a hyperbola, center of an ellipse, circle, conic section, conjugate axis, co-vertices of an ellipse, directrix, ellipse, focal length, focus of a parabola, foci of an ellipse, foci of a hyperbola, hyperbola, major axis, minor axis, radius, standard form of an equation of a circle, transverse axis, vertices of an ellipse, and vertices of a hyperbola.
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Description of Unit: This topic expands students’ understandings and skills related to probability and statistics. Students will find permutations and combinations of data sets using formulas, use simulation to model experimental probability, find the theoretical probability of events using a formula, and find and analyze the measures of central tendency of given data sets.
Key Vocabulary: conditional probability, continuous probability distribution, dependent events, discrete probability distribution, equally likely outcomes, independent events, interquartile range, mean, median, mode, mutually exclusive events, normal distribution, outlier, percentile, probability distribution, random sample, range of a set of data, sample, sample space, and survey.
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Description of Unit: This topic expands students’ understandings and skills related to matrices and systems of equations. Students will use matrices to compare data, and solve systems of equations with matrix equations.
Key Vocabulary: corresponding elements, determinant, equal matrices, matrix equation, multiplication identity matrix, multiplication inverse matrix, scalar, scalar multiplication, singular matrix, square matrix, and zero matrix.
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After completing this unit, students will be able to answer the following questions:
Key Vocabulary:
Common Core Content Standards:
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