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Sunday, May 20, 2012

ALGEBRA 1

GRADES 9 – 12 (LEVEL I)

 

 

UNIT 1: CONNECTIONS IN ALGEBRA

 

Standards/CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 D

Students will be able to:

  • check solutions of equations and inequalities.

  • Algebra, AGS Publishing

 

  • Chapter I Unit Test

4.1 B

  • learn how to write and evaluate expressions using exponents and the order of operations.

4.3 B, C

  • use tables and graphs to organize data and to represent functions that model real life situations.

  • write equations for real life functions.

 

UNIT 2: PROPERITES OF REAL NUMBERS

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.1 A, D

Students will be able to:

  • know and apply the properties of addition, subtraction, multiplication and division of real numbers.

  • compare real numbers using the number line.

  • use the distributive property to evaluate and simplify variable expressions.

  • organize data in a matrix; add and subtract matrices.

  • find the domain of a function.

  • Algebra, AGS Publishing

 

  • Chapter 2 Unit Test

 

 

 

 

 

 

4.4 C

  • find the odds, given the probability.

 

 

 

 

 

UNIT 3: SOLVING LINEAR EQUATIONS

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 B,

4.5 C

Students will be able to:

  • solve linear equations in one variable.

  • solve formulas for a specified variable.

  • write equations in function form.

  • Algebra, AGS Publishing

 

  • Chapter 3 Unit Test

 

 

 

 

UNIT 4: GRAPHING LINEAR EQUATIONS AND FUNCTIONS

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 B, C, D

Students will be able to:

  • use linear equations and their graphs to model real life situations by making predictions from a scatter plot.

  • graph linear equations using a variety of techniques, including a table of values, two points, and a point and the slope of a line.

  • identify equations.

  • Algebra, AGS Publishing

 

  • Chapter 4 Unit Test

 

 

 

 

UNIT 5: WRITING LINEAR EQUATIONS

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 B

 

Students will be able to:

  • write the equations of a line given a slope and y-intercept; a slope and a point; and two points.

  • Algebra, AGS Publishing

 

  • Chapter 5 Unit Test

 

 

4.3 C

  • use a linear model to make real life predictions, including interpolation and extrapolation.

4.4. A

  • determine whether a linear model is appropriate and write an equation to approximate a line of best fit.

4.3. B, D

  • investigate the equations of parallel and perpendicular lines and will use their conclusion to write equations of parallel and perpendicular lines.

 

UNIT 6: SOLVING AND GRAPHING LINEAR INEQUATIONS (INEQUALITIES)

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 B, D

Students will be able to:

  • write, solve, and graph linear inequalities.

  • Algebra, AGS Publishing

 

  • Chapter 6 Unit Test

 

4.3 D

  • solve absolute value equations and inequalities.

4.4. A

  • organize data using stem and leaf plots.

 

UNIT 7: SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 A, B, C

Students will be able to:

  • solve a system of two linear equations graphically.

  • solve a system of two linear equations using substitution.

  • solve a system of two linear equations using linear combinations.

  • identify systems that have one solution, no solution, or many solutions.

  • Algebra, AGS Publishing

 

  • Chapter 7 Unit Test

 

 

 

 

UNIT 8: EXPONENTS

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 D

Students will be able to:

  • multiply and divide expressions using exponents, including zero and negative exponents.

  • Algebra, AGS Publishing

 

  • Chapter 8 Unit Test

 

 

4.1 A

  • use scientific notation to represent numbers

 

 

 

 

UNIT 9: QUADRATIC EQUATIONS AND FUNCTIONS

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 B

Students will be able to:

  • approximate and evaluate square roots.

  • Algebra, AGS Publishing

 

  • Chapter 9 Unit Test

 

4.3 D

  • simplify radicals.

4.3 C, D

  • solve quadratic equations by finding square roots and using the quadratic formula.

4.3 B, D

  • graph quadratic functions.

4.1 A

  • simplify rational expressions.

 

UNIT 10: POLYNOMIALS AND FACTORING

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3. D

Students will be able to:

  • identify, compute with and factor polynomial expressions.

  • factor polynomial expressions and use factoring to solve quadratic equations.

  • add, subtract and multiply polynomial expressions.

  • Factor polynomial expressions and use factoring to solve quadratic equations.

  • Algebra, AGS Publishing

 

  • Chapter 10 Unit Test

 

 

 

UNIT 11: RATIONAL EQUATIONS AND FUNCTIONS

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 A

Students will be able to:

  • set up and solve percent problems.

  • Solve inverse and direct variation problems.

  • Algebra, AGS Publishing

 

  • Chapter 11 Unit Test

 

 

4.3 B, D

  • add subtract and multiply rational expressions.

  • divide a polynomial by a monomial or binomial.

  • solve rational equations and explore the graphs of rational functions.

UNIT 12: RADICAL EQUATIONS AND CONNECTIONS TO GEOMETRY

 

Standards/ CPIs

Major Outcome

Materials/Strategies

Assessments

4.3 D

Students will be able to:

  • solve radical equations by squaring both sides.

  • Algebra, AGS Publishing

 

  • Chapter 12 Unit Test

 

4.2. A, D

  • use the Pythagorean Theorem and its converse.

4.3 B

  • use the midpoint and distance formulas to investigate distance between two points and lengths of segments.

4.3 B, D

  • add, subtract, multiply, divide and simplify radical expressions.

4.3 A

  • use similar triangles to explore trigonometric ratios.

 

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