INTEGRATED II – OUTLINE
FIRST SEMESTER
Pre-Skills
Pretest
Toolbox 1, 4, 7, 8, 9, 10, 11, 13, 14, 15, 17, 20, 21, 23, 24, 26, 31
Areas and Volumes
Toolbox Skill 28 – Using Formulas from Geometry/ Add Other Basic Shapes
Integrated 1 – Unit 9
Section 9.5 - Surface Area of Space Figures
Section 9.6 - Volumes of Prisms and Cylinders
Section 9.7 - Volumes of Pyramids and Cones
Section 9.8 - Similar Figures: Areas and Volumes
Non – Standard Shapes – MathsMate – Sums and Differences of Areas and Volumes
Volumes of Non – Standard Prisms
Comparing Areas and Volumes of similar figures
Unit 2
Emphasis placed on moving between the Four Faces of a Function – TABLE,
EQUATION, CONTEXT and GRAPH
*Section 2.1 – Functions and Graphs
*Section 2.2 – Linear Models and Direct Variation
Writing Equations of lines given two points or point and slope.
Writing Equations of lines given a context.
Graphing Linear Inequalities
(Section 2.3 – Inverse Variation)
Section 2.5 – Direct Variation With Powers
Discuss Volume and Surface Area from Section 2.4 in terms of direct
variation with a square and direct variation with a cube.
*Section 2.7 – Doubling and Halving
Unit 3
*Section 3.1 – Systems and Graphs
*Section 3.2 – Solving Systems by Substitution
*Section 3.4 – Solving Systems by Addition/Subtraction
*Section 3.3 – Slopes and Systems
Unit 4
*Section 4.1 – Graphing Quadratic Functions
*Section 4.2 – Translating Parabolas
*Section 4.3 – Solving Equations Using Square Roots
*Section 4.4 – Solving Equations Using Factoring
*Section 4.5 – The Quadratic Formula
*Section 4.6 – The Discriminant and Complex Numbers
(Section 4.7 – Systems of Quadratics)
FIRST SEMESTER ENDS
SECOND SEMESTER
Triangle Unit –
Part of Unit 8 and extras
(Focus on Mechanics and Explaining. No Proofs until later. )
*Section 8.2 The Triangle Sum Thm Find angle Measures in a Triangle
Exterior Angle Thm – Find Angle Measures
Extend to Quadrilaterals
*Section 8.3 Similar Triangles –
Triangle Similarity Postulate AAA
Protractors – Measure Angles to Test for Similarity
Proportions – Set up Proportions for side measures
Compare Areas and Perimeters of Similar Triangles
Overlapping Similar Triangles
*Section 8.4 and Section 8.5 ASA, AAS, SAS, SSS Use Thms to Identify Congruent Triangles
Explain Why Triangles are Congruent
*Section 8.6 Congruence and Isosceles Triangles –
Isosceles Triangles – Angle and Side Properties
Equilateral Triangles – Angle and Side Properties
*Section 8.7 Similarity in Right Triangles –
Similar Right Triangles
Pythagorean Thereom
Geometric Mean
*Section 8.8 Special Right Triangles and Trigonometry
45 – 45 – 90
30 – 60 – 90
Sin, Cos, Tan
Unit 6
*Section 6.1 – Exploring Counting Problems
*Section 6.2 – Counting and Permutations
*Section 6.3 – Probability and Odds
*Section 6.4 – Compound Events
*Section 6.5 – Combinations
Section 6.6 – Pascal’s Triangle
Section 6.7 and Section 6.8 – Binomial Experiments
Section 6.8 – The Binomial Theorem
CSAP
Unit 7 and Unit 8 Proofs
Section 7.1– Using And, Or, Not (Section 3.1 – Graphing Systems of Inequalities)
*Section 7.2 – Implications
*Section 7.3 – Valid and Invalid Arguments
*Section 7.4 – Biconditionals and Good Definitions
Introduction to Proof Using Symbolic Proofs
Test
Section 7.6 – Postulates and Proofs in Algebra
*Section 7.7 – Proofs for Angles
*Section 7.8 – Proofs about Parallel Lines
*Section 8.1 – Converses and Parallel Lines
*Section 8.3 – 8.5 – AAA, SAS, AAS, SAS, ASA, SSS Proofs
Test
Unit 5
*Section 5.1 – Quadrilaterals
*Section 5.2 – The Distance Formula and Quadrilaterals
*Section 5.3 – Midpoints
*Section 5.4 – Coordinates and Transformations
Section 3.5 – Matrix Operations (Addition, Subtraction, Scalar Multiplication)
Transfer points from vertices of a quadrilateral to a matrix and perform
transformations.
Section 5.6 – Exploring Properties
Unit 9
Follow book if time allows