WS/FCS FOUNDATIONS OF MATH II PACING GUIDE (2014-2015)

# of Days / CCSS Correlation / Topic
UNIT 1 – SOLVE LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE
5 days / A-APR.1 / Add and subtract polynomials. Limit to linear expressions.
7.EE.3
8.EE.7 / Solve multi-step linear equations in one variable.
A-CED.1 / *Create equations in one variable and use to solve problems.
7.EE.4 / Solve multi-step linear inequalities in one variable.
A-CED.1 / *Create inequalities in one variable and use them to solve problems.
UNIT 2 – SQUARE ROOTS, RADICAL AND RATIONAL FUNCTIONS
10 days / N-RN.2 / Use properties of exponents to rewrite expressions involving radicals and rational exponents. Limit to square roots and cube roots.
Simplify square roots in radical form. Limit to monomial expressions.
A.REI.4 / Solve quadratics in the form ax2 + c = 0 by square roots.
A.REI.2 / *Solve simple radical functions. Limit to square roots and linear expressions.
F-IF.7
F-IF.5
F-IF.4
F-IF.2 / Graph square root function in the form f(x) = √(x). State the domain, intercepts, end behavior, and interval where increasing/decreasing and positive/negative. RELATE THE GRAPH, TABLE, AND RULE.
A-REI.2 / *Solve simple rational functions in one variable. Limit to monomials.
Solve inverse variation functions algebraically.
F-IF.1 / *Build an inverse variation function that models a relationship between two quantities then solve
UNIT 3 – SOLVE QUADRATICS BY MULTIPLE METHODS
10 days / A-APR.1 / Multiply polynomials. Limit to linear expressions.
Factor out GCF from polynomial expression.
Factor trinomials in the form f(x) = x2 + bx + c.
A-APR.3 / *Solve quadratics in the form f(x) = x2 + bx + c by factoring.
*Solve quadratics in the form f(x) = x2 + bx + c by graphing with the graphics calculator.
Unit 4 – SYSTEMS OF LINEAR FUNCTIONS
5 days / 8.EE.8 / *Solve systems of linear equations algebraically.
A-REI.7 / *Solve systems of linear equations graphically. Use calculator active and inactive methods.
UNIT 5 – EXPONENTIAL FUNCTIONS AND INTRODUCTION TO COMMON LOGARITHMIC FUNCTION
5 days / A-CED.1 / Solve simple exponential functions.
F-IF.7 / Graph simple exponential functions. State the domain, intercepts, end behavior, and interval where increasing/decreasing and positive/negative. RELATE THE GRAPH, TABLE, AND RULE.
Rewrite exponential expressions with base 10 into a logarithmic expression.
F-IF.7 / Graph common logarithmic function f(x) = log(x). State the domain, intercepts, end behavior, and interval where increasing/decreasing and positive/negative. RELATE THE GRAPH, TABLE, AND RULE.
UNIT 6 – GRAPHS OF NONLINEAR FUNCTIONS
10 days / F-IF.7
F-IF.5
F-IF.4
F-IF.2 / Graph quadratic functions f(x) = x2. State the domain, intercepts, end behavior, symmetry, and interval where increasing/decreasing and positive/negative. RELATE THE GRAPH, TABLE, AND RULE.
F-BF.3
F-IF.7 / Graph quadratic function in vertex form.
Identify f(x ± k), f(x) ± k, kf(x).
F-IF.7 / Graph greatest integer function (step function). RELATE THE GRAPH, TABLE, AND RULE.
F-IF.7
F-BF.3 / Graph absolute value function with transformation kf(x). RELATE THE GRAPH, TABLE, AND RULE.
F-IF.7 / Graph piecewise function. Limit to linear and quadratic functions.
F-IF.7 / Graph cubic and cube root functions.
Unit 7 – AREA AND PERIMETER OF TWO-DIMENSIONAL FIGURES
5 days / 6.G. 1 / Find the area and perimeter of quadrilaterals.
6.G.1 / Find the area and perimeter of triangles.
7.G.4 / Find the area of a circle.
7.G.6 / *Apply area and perimeter to real world applications.
Unit 8 – SURFACE AREAS AND VOLUMES OF SOLIDS
5 days / Identify solids and their properties
G-GMD.2 / Find the volume of solids
G-GMD.2 / Find the surface area of solids
G-GMD.2 / Find the volume and surface area combined.
7.G.6
8.G.9 / *Apply volume and surface area to real world applications.
UNIT 9 - TRANSFORMATIONS
5 days / G-CO.2
G-CO.5
G-CO.6 / Represent, describe, and draw reflections of triangles, quadrilaterals, and regular polygons.
G-CO.2
G-CO.5
G-CO.6 / Represent, describe, and draw translations of triangles, quadrilaterals, and regular polygons.
G-CO.2
G-CO.5
G-CO.6 / Represent, describe, and draw rotations of triangles, quadrilaterals, and regular polygons.
G-SRT-1 / Verify experimentally the properties of dilations given by a center and scale factor
UNIT 10 – PYTHAGOREAN THEOREM, MIDSEGMENT,TRIANGLE CONGRUENCE
5 days / G-CO.10 / Introduce proving triangles are congruent. Limit to understanding of AAS, ASA, SAS, and SSS, HL.
G-GMD.2 / Define and apply triangle midsegment properties
G-SRT.8 / *Define and apply the Pythagorean Theorem and its converse.
UNIT 11 – SPECIAL RIGHT TRIANGLES AND RIGHT TRIANGLE TRIGONOMETRY
5 days / G-SRT.8 / Define and apply special right triangles.
G-SRT.6 / *Define right triangle trigonometry with sine, cosine, and tangent.
G-SRT.7
G-SRT.8 / *Apply right triangle trigonometry with sine, cosine, and tangent.
UNIT 12 – GRAPHING CIRCLES, UNIT CIRCLE INTRODUCTION
5 days / G-GPE.1 / Graph circles in standard form centered at origin.
7.G.4 / *Find the circumference of circles.
Introduce the Unit Circle( r = 1)
Divide the circumference of the circle into multiples of 30o and π/6.
Unit 13 – SAMPLING, PROBABILITY, FREQUENCY TABLES
10 days / S-IC.6 / Evaluate reports based on data.
7.SP.7
7.SP.8 / Use tree diagrams and area models to represent the probability of an event.
7.SP.7
7.SP.8 / Use Venn Diagrams and area models to illustrate events as subsets of a sample space for union, intersections, or complements.
S-CP.1 / Describe events as subsets of a sample space using characteristics of the outcomes, or as union, intersections, or complements of other events
S-CP.4 / *Interpret two-way frequency tables of data when two categories are associated with each object being classified.
S-CP.4 / *Construct two-way frequency tables of data when two categories are associated with each object being classified.
REVIEW AND EXAM
5 days

*indicates that problem-solving in context will be implemented