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MATHEMATICS: EXPLORELEARNING - HIGH SCHOOL
GIZMO CORRELATIONS TO MDCPS PACING GUIDE
ALGEBRA I REGULAR/ALGEBRA I HONORS* – 4th NINE WEEKS
NEXT GENERATION
SUNSHINE STATE
STANDARDS
TOPIC
MA.912.A.1.8
Use the zero product property of
real numbers in a variety of
contexts to identify solutions to
equations.
MA.912.A.4.2
Add, subtract, and multiply
polynomials
MA.912.A.4.3
Factor polynomial expressions
TOPIC IX:
Quadratic
equations and
Functions
MA.912.A.6.1
Simplify radical expressions
MA.912.A.6.2
Add, subtract, multiply and divide
radical expressions (square roots)
MA.912.A.7.1
Graph quadratic equations with
and without graphing technology.
MA.912.A.7.2
Solve quadratic equations over
the real numbers by factoring and
by using the quadratic formula.
MA.912.A.7.8
Gizmo – High School
ESSENTIAL CONTENT
A. Parent Function
1. Equation
2. Graph
3. Vertex
4. Axis of Symmetry
B. Forms of a Quadratic
1. Vertex Form to General Form
a. Polynomials
i. Monomials
ii. Binomials
b. Binomial Multiplication
c. Simplify a polynomial
2. General Form to Factored Form
a. Common monomial factors
b. Difference of squares
c. Perfect square trinomials
d. Factoring Trinomials
3. General Form
C. Radicals
1. Simplify radicals
a. Reduce
b. Combine like radicals
c. Multiply radicals
d. Rationalize the denominator
2. Solve radical equations
3. Irrational numbers
D. Solve Quadratic Equations
1. Factor quadratic equations
a. Roots and zeros of an
equation
Page 1 of 8
ExploreLearning Gizmos
MA.912.A.1.8
 Polynomials and Linear Factors
 Quadratics in Factored Form
MA.912.A.4.2
 Addition of Polynomials - Activity A
 Addition and Subtraction of Polynomials
MA.912.A.4.3
 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c
MA.912.A.6.1
 Simplifying Radicals - Activity A
 Simplifying Radicals - Activity B
MA.912.A.6.2
 Operations with Radical Expressions
 Simplifying Radicals - Activity A
 Simplifying Radicals - Activity B
 Square Roots
MA.912.A.7.2
 Factoring Special Products
 Modeling the Factorization of x2+bx+c
4th 9 Weeks-At-A-Glance
MATHEMATICS: EXPLORELEARNING - HIGH SCHOOL
GIZMO CORRELATIONS TO MDCPS PACING GUIDE
Use quadratic equations to solve
real-world problems.
MA.912.A.7.10
Use graphing technology to find
approximate solutions of
quadratic equations.
MA.912.A.4.3
Factor polynomial expressions
TOPIC X:
Rational
Expressions
and Functions
MA.912.A.4.4
Divide polynomials by monomials
and polynomials with various
techniques, including synthetic
division.
MA.912.A.5.4
Solve algebraic proportions.
TOPIC XI:
Matrices
MA.912.A.3.15
Solve real-world problems
involving systems of linear
equations and inequalities in two
and three variables.
MA.912.D.8.1
Use matrices to organize and
store data. Perform matrix
operations (addition, subtraction,
scalar multiplication,
multiplication).
MA.912.D.8.2
Using matrix operations to solve
problems.
Gizmo – High School
b. Zero product property
2. Quadratic Formula
a. Roots and zeros of an
equation
b. Zero product property
A. Rational Expressions
1. Define
2. Add
3. Subtract
4. Multiply
5. Divide
a. Common factors
b. Monomial by monomial
c. Polynomials by monomial
d. Opposite Factors
6. Inverse Variation
B. Solving rational equations and
functions
1. Identify domain and range
2. Add and subtract
3. Multiply and divide
4. Check solutions
A. Calculations
1. Organize data in matrix
2. Add and subtract matrices
3. Multiply by a scalar
4. Multiply two matrices
B. Solving systems of linear equations
1. Calculator
C. Transformations
1. Translation
2. Reflection
3. Dilation
Page 2 of 8
MA.912.A.4.3
 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c
MA.912.A.4.4
 Dividing Exponential Expressions
MA.912.A.3.15
 System of Two Quadratic Inequalities
 Systems of Linear Inequalities (Slope-intercept
form) - Activity A
4th 9 Weeks-At-A-Glance
MATHEMATICS: EXPLORELEARNING - HIGH SCHOOL
GIZMO CORRELATIONS TO MDCPS PACING GUIDE
GEOMETRY REGULAR/GEOMETRY HONORS* – 4th NINE WEEKS
Note: Highlighted benchmarks are assessed on the Geometry EOC Assessment
TOPIC
NEXT GENERATION
SUNSHINE STATE STANDARDS
CONTENT LIMITS
A. Global Similarity in Polygons
1. Proportions and Reasoning
2. Dilations and Scale Factor
Standard 2: Polygons
MA.912.G.2.3
MA.912.G.2.4
MA.912.G.2.7
Standard 4: Triangles
MA.912.G.4.4
MA.912.G.4.5
MA.912.G.4.6
TOPIC XII:
Similarity
Standard 5: Right Triangles
MA.912.G.5.2
Standard 7: Polyhedra and
Other Solids
MA.912.G.7.6
MA.912.G.7.7
Standard 8: Mathematical
Reasoning and Problem Solving
MA.912.G.8.3
MA.912.G.8.4
B. Similar Triangles
1. Similarity Shortcuts
a. AA Similarity
b. SSS Similarity
c. SAS Similarity
2. Proportional Relationships
a. Indirect Measurement
b. Corresponding Parts of Similar
Triangles
i. Proportional Parts
ii. Opposite Side Ratios
iii. Altitude to hypotenuse
ratios
C. Proportions with Area and Volume
1. Proportions with Area
a. Area Ratios
b. Surface Area Ratios
2. Proportions with Volume
D. Proportional Segments by Parallel
Lines
1. Parallels and Proportionality
2. Extended Parallel/Proportionality
Gizmo – High School
Page 3 of 8
ExploreLearning Gizmos
MA.912.G.2.3
 Classifying Triangles
 Congruence in Right Triangles
 Perimeters and Areas of Similar Figures
 Similar Figures - Activity A
 Similar Polygons
MA.912.G.2.4.
 Dilations
 Holiday Snowflake Designer
 Perimeters and Areas of Similar Figures
 Reflections
 Rotations, Reflections and Translations
 Similar Figures - Activity A
 Similar Polygons
 Translations
MA.912.G.2.7
 Area of Parallelograms - Activity A
 Area of Parallelograms - Activity B
 Circle: Circumference and Area
 Minimize Perimeter
 Perimeter, Circumference, and Area - Activity B
 Rectangle: Perimeter and Area
MA.912.G.4.4
 Area of Parallelograms - Activity B
 Congruence in Right Triangles
 Perimeters and Areas of Similar Figures
 Proving Triangles Congruent
 Similar Figures - Activity A
 Similar Polygons
4th 9 Weeks-At-A-Glance
MATHEMATICS: EXPLORELEARNING - HIGH SCHOOL
GIZMO CORRELATIONS TO MDCPS PACING GUIDE
E. Applications in Mathematics and the
Real-World
Forms of Valid Reasoning
1. Arguments
a. English
b. Symbolic
2. Modus Ponens
3. Modus Tollens
4. Law of Syllogism
5. Law of Contrapositives
B. Symbols of Logic
1. If P then Q: P →Q
2. ~P
C. Types of Proof
1. Direct
2. Conditional
3. Indirect
D. Geometry as a Mathematical
System
1. Premises of Geometry
2. Planning a proof
3. Triangle Proofs
4. Quadrilateral Proofs
MA.912.G.4.6
 Congruence in Right Triangles
 Perimeters and Areas of Similar Figures
 Proving Triangles Congruent
 Similar Figures - Activity A
 Similar Polygons
MA.912.G.5.2.
 Similarity in Right Triangles
MA.912.G.7.6
 Congruence in Right Triangles
MA.912.G.7.7
 Prisms and Cylinders - Activity A
 Pyramids and Cones - Activity A
 Surface and Lateral Area of Prisms and Cylinders
 Surface and Lateral Area of Pyramids and Cones
A.
Standard 6: Logic
MA.912.D.6.2
MA.912.D.6.3
MA.912.D.6.4
TOPIC XIII:
Deductive
Reasoning
Standard 3: Quadrilaterals
MA.912.G.3.4
Standard 8: Mathematical
Reasoning and Problem Solving
MA.912.G.8.3
MA.912.G.8.5
Gizmo – High School
Page 4 of 8
MA.912.D.6.3.
 Conditional Statement
MA.912.D.6.4
 Bi-conditional Statement
 Conditional Statement
 Simplifying Trigonometric Expressions
MA.912.G.3.4:
 Parallelogram Conditions
4th 9 Weeks-At-A-Glance
MATHEMATICS: EXPLORELEARNING - HIGH SCHOOL
GIZMO CORRELATIONS TO MDCPS PACING GUIDE
TOPIC XIV:
Transformations
Standard 2: Polygons
MA.912.G.2.4
A. Transformations and Symmetry
1. Rigid Transformations –
Isometry
a. Identity Transformations
2. Translations
a. Translation Vector
b. Distance and Direction
3. Rotations
a. Rotational Symmetry
b. Point Symmetry
4. Reflections
a. Reflectional Symmetry
b. Line Of
Symmetry/Reflection
B. Transformations on a Coordinate
Plane
MA.912.G.2.4
 Dilations
 Holiday Snowflake Designer
 Perimeters and Areas of Similar Figures
 Reflections
 Rotations, Reflections and Translations
 Similar Figures - Activity A
 Similar Polygons
 Translations
C. Tessellations with Regular Polygons
1. Monohedral Tiling
2. Regular Tessellation
Semi-regular Tessellation
Gizmo – High School
Page 5 of 8
4th 9 Weeks-At-A-Glance
MATHEMATICS: EXPLORELEARNING - HIGH SCHOOL
GIZMO CORRELATIONS TO MDCPS PACING GUIDE
Algebra II – 4th NINE WEEKS
TOPIC
TOPIC IX:
Rational
Functions
NEXT GENERATION
SUNSHINE STATE STANDARDS
Standard 2: Relations and
Functions
MA.912.A.2.10
MA.912.A.2.12
Standard 5: Rational Equations
and Expressions
MA.912.A.5.2
MA.912.A.5.3
MA.912.A.5.5
MA.912.A.5.6
Gizmo – High School
ExploreLearning Gizmos
ESSENTIAL CONTENT
A. Inverse and Joint Variation
1. Classify
2. Write An Equation
3. Compare Variations
B. Graphs of Rational Functions
1. Rational Function Form
2. Domain, Range
3. x-Intercepts
4. Asymptotes
a. Vertical
b. Horizontal
c. Slant
5. Points of Discontinuity
a. Removable
b. Non-removable
6. Using A Graphing Utility
C. Operations With Rational
Expressions
1. Adding/Subtracting Rational
Expressions
2. Multiplying and Dividing
Rational Expressions
D. Solving Rational Functions
1. Extraneous Roots
2. Solving Complex Fractions
Page 6 of 8




Direct and Inverse Variation
Direct Variation
General Form of a Rational Function
Rational Functions
4th 9 Weeks-At-A-Glance
MATHEMATICS: EXPLORELEARNING - HIGH SCHOOL
GIZMO CORRELATIONS TO MDCPS PACING GUIDE
A. Patterns and Recursion
1. Recursively defined sequences
2. Numeric Sequences
a. Next term
b. Nth term
TOPIC X:
Series
Standard 11: Series and
Sequences
MA.912.D.11.1
MA.912.D.11.2
MA.912.D.11.3
MA.912.D.11.4
B. Arithmetic Sequences
1. Next term
2. Finite differences - arithmetic
case
3. Nth term
4. Arithmetic Mean
C. Geometric Sequences
1. Next term
2. Common Ratio
3. Nth term
4. Using a graphic utility
D.
Applications of Sequences
E. Arithmetic Series
1. Partial Sum Explicit Formula
2. Partial Sum Alternative Formula
MA.912.D.11.1
 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences
MA.912.D.11.2
 Arithmetic and Geometric Sequences
 Geometric Sequences
MA.912.D.11.3
 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences
MA.912.D.11.4
 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences
F. Geometric Series
1. Define Infinite Geometric Series
2. Convergent Infinite Geometric
Series
3. Explicit Formula for Partial
Geometric Series
Gizmo – High School
Page 7 of 8
4th 9 Weeks-At-A-Glance
MATHEMATICS: EXPLORELEARNING - HIGH SCHOOL
GIZMO CORRELATIONS TO MDCPS PACING GUIDE
A.
B.
TOPIC XI:
Binomial
Theorem
Standard 4: Polynomials
MA.912.A.4.12
C.
D.
E.
Gizmo – High School
Factorials
1. Define Factorials
2. Express in standard and
expanded form
3. Factorial Operations
Permutation
1. Define
2. Notation
3. Determine Permutation of n
Distinct Objects
Combinations Define
1. Notation
2. Determine the Number of
Combinations of n Objects
Pascal’s Triangle
1. Define
2. Determine Patterns
The Binomial Theorem
1. Expand binomials
2. Find a Coefficient In An
Expression
Page 8 of 8
MA.912.A.4.12
 Polynomials and Linear Factors
 Permutations
 Permutations and Combinations
 Binomial Probabilities
4th 9 Weeks-At-A-Glance