Algebra II A
Standards:
3M-P6 Perform mathematical operations on expressions and matrices, and solve
equations and inequalities.
Month: August 2007 | |
Essential Questions | Scientific Notation and Metric System Simplify the following expression using the properties of exponents. Multiply the following polynomials using the FOIL method. Simplify the following radical using the properties of square/cube roots Solve and graph the inequality below |
Performance Objectives | (PO 7) Multiply and divide monomial expressions
with integer exponents 1.5 week- 3 classes) (PO 7) Foil and multiplying polynomials (1 week – 2classes) (PO 5) Simplify square roots and cube roots (1 week – 2 classes) (PO 9) Writing and solving inequalities, intervals (1 week – 2 classes) |
Skills | Apply the properties of exponents when
simplifying algebraic expressions Demonstrate the knowledge of the FOIL method when multiplying binomials Distinguish the difference between Square root & Cube root |
Formative/Summative Assessments (Writing Assignments, Projects, Performances) |
Selected responses tests (Quiz 1-Properties of
exponents) Selected responses tests (Quiz 2-Multiply Polynomials-FOIL) Journal entry Portfolio Group Work |
Instructional Strategies | Reciprocal teaching Group Work Worksheets Visuals/graphics Drill/practice Active review Journaling |
Resources | Properties of Exponents Packet FOIL Worksheet Square/Cube Root Worksheet |
Standards:
3M-P4 Interpret algebraic equations and inequalities geometrically and describe
geometric relationships algebraically
Month: September 2007 | |
Essential Questions | Graph the following linear equation using the
slope(m) & the y-intercept(b) Determine the slope of the line using the two points given Find the x and y intercept of the following linear equation Write the following linear equation in slope intercept form (y=mx+b) |
Performance Objectives | (PO1) Linear equation intro/graph a linear
equation in two variables ( 1 class) (PO 3) Slope/determine slope and intercepts of a linear equation ( 1 week – 2 classes) (PO 3) Intercepts x, y (1 classes) (PO 3) Change from standard to slope-intercept form ( 2 classes) |
Skills | Identify the slope(m) and y-intercept(b) of a
linear equation Apply the steps in changing a linear equation into slope-intercept form (y=mx+b) Determine the x & y intercepts |
Formative/Summative Assessments (Writing Assignments, Projects, Performances) |
Selected responses tests (Quiz 3-Graphing linear
equations) Selected responses tests (Quiz 4-Slope) Journal entry Portfolio Group Work |
Instructional Strategies | Reciprocal teaching Group
Work Worksheets Visuals/graphics Drill/practice Active review Journaling |
Resources | Graphing Linear Equations Packet X & Y intercepts worksheet Slope worksheet |
Standards:
3M-P4 Interpret algebraic equations and inequalities geometrically and describe
geometric relationships algebraically
Month: October 2007 | |
Essential Questions | Determine if the following pairs of linear equations (lines) are either parallel, perpendicular, coincide, or none of the above. |
Performance Objectives | (PO 5) From two line equations the linear are parallel, perpendicular or coincide ( 2classes) |
Skills | Distinguish whether a pair of lines are parallel, perpendicular, coincide, or none of the above. |
Formative/Summative Assessments (Writing Assignments, Projects, Performances) |
Selected responses tests (Quiz
5-Paralell/Perpendicular Lines) Selected responses tests (Test 1-Unit 1) Journal entry Portfolio Group Work |
Instructional Strategies | Reciprocal teaching Group Work Worksheets Visuals/graphics Drill/practice Active review Journaling |
Resources | Parallel and Perpendicular Worksheet |
Standards:
3M-P6 Perform mathematical operations on expressions and matrices, and solve
equations and inequalities.
Month: November 2007 | |
Essential Questions | Solve the system of equations by the graphing
method Solve the system of equations by the elimination/addition method Solve the system of equations by the substitution method |
Performance Objectives | (PO15) Solve systems of linear equations (3weeks – 6 classes) |
Skills | Apply the appropriate steps to solve a system of
equations Compare and contrast the differences and similarities of the graphing, elimination and substitution methods. |
Formative/Summative Assessments (Writing Assignments, Projects, Performances) |
Selected responses tests (Quiz 6-System of
Equations: Graphing) Selected responses tests (Quiz 7-System of Equations: Elimination & substitution) Journal entry Portfolio Group Work |
Instructional Strategies | Reciprocal teaching Group
Work Worksheets Visuals/graphics Drill/practice Active review Journaling |
Resources | System of Equations: Graphing Packet System of Equations: Elimination Packet System of Equations: Substitution Packet |
Standards:
2M-P7 Use simulations to estimate probabilities
Month: December 2007 | |
Essential Questions | Study the box below. Find the number of
permutations/arrangements using factorials. Is order important? Study the box below. Find the number of combinations/arrangements using factorials. Is order important? |
Performance Objectives | (PO 2) Combinations in counting objects ( 1
class) (PO 2) Permutations in counting objects (1 class) |
Skills | Summarize the differences between combinations
and permutations. Apply the steps in solving combinations and permutations. |
Formative/Summative Assessments (Writing Assignments, Projects, Performances) |
Selected responses tests (Quiz 8-Combinations &
Permutations) Selected responses tests (Final Exam) Journal entry Portfolio Group Work |
Instructional Strategies | Reciprocal teaching Group
Work Worksheets Visuals/graphics Drill/practice Active review Journaling |
Resources | Combinations Worksheet Permutations Worksheet Final Exam Review Packet |