Download first quarter - Peoria Public Schools

FIRST QUARTER
Algebra 3-4 Enriched
Text: Algebra 2: Applications, Equations and Graphs (2004), ISBN 0-618-37100-1
Supplemental Materials: Algebra’scool (2005) BestQuest Teaching Systems
ILS
Specific Topic
Benchmark
8.B.4b
1. Review of Algebra 1-2 Topics
Linear Equations
 Solving equations
 Translating among equations, graphs
and tables
Functions
 Graphs (vertical line test)
 Function notation
 Piecewise
 Absolute Value
8.B.4a
8.B.4b
8.D.4
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Teacher Resources
Algebra 2: Applications, Equations and Graphs
2. Linear Systems
 Equations and inequalities
 Graphing
 Substitution
 Elimination
 Translating between graph, solution,
table, equation, verbal model
 Linear Programming (translate from
verbal model)
 3-variable
Spend approximately 3 weeks on
review.
Use as necessary:
Chapter 1: 1.2 -1.4
Chapter 2: 2.1, 2.7, 2.8
Algebra’scool : 1.1-1.5
2.1-2.5
3.1-3.6
4.1-4.4
9.1, 9.6
Chapter 3: 3.1-3.6
Algebra’scool : 10.1 – 10.5
Guidelines for all mathematics
TEACHERS:
STUDENTS:
Pose rich mathematical tasks

Explain and justify solutions orally and in writing
Engage students in mathematics

Consistently use estimation strategies
Ask higher-level questions

Determine whether results are reasonable
Have high expectations for ALL students

Use calculators and technology when appropriate
Check the district website for additional math resources and information:
www.psd150.org
August 2009
SECOND QUARTER
Algebra 3-4 Enriched
ILS
Specific Topic
Benchmark
Teacher Resources
Algebra 2: Applications, Equations and Graphs
6.A.5
6.B.5
8.C.4b
3. Matrices
 Operations (add, subtract, multiply,
scalar multiply)
 Inverse (including 3 X 3 with technology)
 Identity
 Determinant
 Cramer’s Rule
 Systems
Chapter 4: 4.1-4.5
6.A.5
8.B.4a
8.B.4b
8.D.4
4. Quadratics
 Solving (graphing, square roots,
factoring, quadratic formula, completing
the square)
 Graphing
 Inequalities
 Modeling (i.e. profit, height, geometry
applications)
 Complex numbers: operations, powers,
conjugates
 Vertex form
Chapter 5: 5.1-5.8
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Algebra’scool : 14.1 – 14.3
Guidelines for all mathematics
TEACHERS:
STUDENTS:
Pose rich mathematical tasks

Explain and justify solutions orally and in writing
Engage students in mathematics

Consistently use estimation strategies
Ask higher-level questions

Determine whether results are reasonable
Have high expectations for ALL students

Use calculators and technology when appropriate
Check the district website for additional math resources and information:
www.psd150.org
August 2009
THIRD QUARTER
Algebra 3-4 Enriched
ILS
Specific Topic
Benchmark
Teacher Resources
Algebra 2: Applications, Equations and Graphs
9.B.4
9.D.3
9.D.4
10.A.4b
10.C.5a
10.C.5b
5. Special Topics In Geometry, Probability Chapter 12: 12.1 – 12.4
and Statistics
Chapter 13: 13.1
 Probability, counting principle
 Distance & midpoint formulas
 Permutation & combination
Algebra’scool : 19.1 – 19.5
 Measures of central tendency
20.1 – 20.4
 Basic topics in trigonometry (SOH-CAHTOA, elevation/depression angles)
6.A.5
6.B.5
6.D.5
8.A.5
8.B.5
8.C.5
8.D.5
6. Exponents and Logarithms
Chapter 8: 8.1-8.7
 Properties (power, quotient, product,
inverse)
 Converting: log form  exponential form
 Graphing
 Natural base, e
 Solving equations
 Growth and decay
6.A.5
6.B.5
6.C.5
6.D.5
8.A.5
8.B.5
8.C.5
8.D.5
7. Polynomials
 Evaluate (direct, synthetic)
 Exponent Law review
 Rational Root Theorem
 Synthetic division, long division
 Graphs: even/odd, positive/negative
lead coefficients
 Factor and solve degrees of 3 and
greater
 Recognize & use special patterns
(difference of two squares, perfect
square trinomial, difference of cubes,
sum of cubes, quadratic form, factor by
grouping)
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Chapter 6: 6.1 – 6.8
Algebra’scool : 11.3 – 11.7
12.6, 12.7
Guidelines for all mathematics
TEACHERS:
STUDENTS:
Pose rich mathematical tasks

Explain and justify solutions orally and in writing
Engage students in mathematics

Consistently use estimation strategies
Ask higher-level questions

Determine whether results are reasonable
Have high expectations for ALL students

Use calculators and technology when appropriate
Check the district website for additional math resources and information:
www.psd150.org
August 2009
FOURH QUARTER
Algebra 3-4 Enriched
ILS
Specific Topic
Benchmark
Teacher Resources
Algebra 2: Applications, Equations and Graphs
6.A.5
6.B.5
6.C.5
8.A.5
8.B.5
8.C.5
8.D.5
8. Rational Expressions & Equations
 Variation: direct, inverse, joint
 Graphing functions: asymptotes
 Operations and simplifying
 Solving equations
Chapter 9: 9.1 – 9.6
6.A.5
6.B.5
6.C.5
6.D.5
8.B.5
8.C.5
8.D.5
9. Radical Functions
 Notation
 Domain and range
 Graphing
 Evaluate
 Simplify expressions
 Operations
 Rationalize denominator, conjugates
 Solving equations
 Applying multiple properties
 Inverse
 Composition
Chapter 7: 7.1 – 7.6
6.B.5
7.C.5
8.A.5
8.B.5
8.C.5
8.D.5
9.A.5
9.B.5
10. Conics
 Parabolas
 Circles
 Ellipses
 Hyperbolas
 Standard and special forms (all)
 Solving Quadratic Systems
Chapter 10: 10.1 – 10.7
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Algebra’scool : 15.1 – 15.4
16.1 – 16.4
Algebra’scool : 17.1 – 17.4
18.1 – 18.4
Guidelines for all mathematics
TEACHERS:
STUDENTS:
Pose rich mathematical tasks

Explain and justify solutions orally and in writing
Engage students in mathematics

Consistently use estimation strategies
Ask higher-level questions

Determine whether results are reasonable
Have high expectations for ALL students

Use calculators and technology when appropriate
Check the district website for additional math resources and information:
www.psd150.org
August 2009