Academic Standards
1.12.7: Computation
1.12.7.1: Solve mathematical problems involving exponents and roots.
Operations with Radical Expressions
Square Roots
1.12.7.2: Perform addition, subtraction, and scalar multiplication on matrices.
2.12.1: Patterns
2.12.1.1: Use algebraic expressions to identify and describe the nth term of a sequence.
Arithmetic Sequences
Geometric Sequences
2.12.2: Variables and Unknowns
2.12.2.1: Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations.
Area of Triangles
Solving Formulas for any Variable
2.12.3: Number Sentences, Expressions, and Polynomials
2.12.3.2: Simplify algebraic expressions, including exponents and radicals.
Dividing Exponential Expressions
Multiplying Exponential Expressions
Operations with Radical Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Simplifying Radical Expressions
2.12.4: Relations and Functions
2.12.4.1: Determine the domain and range of functions, including linear, quadratic, and absolute value, algebraically and graphically.
2.12.4.2: Solve absolute value equations and inequalities both algebraically and graphically.
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Compound Inequalities
2.12.5: Linear Equations and Inequalities
2.12.5.1: Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology).
Solving Linear Systems (Standard Form)
2.12.6: Algebraic Representations and Applications
2.12.6.1: Solve mathematical and practical problems involving linear and quadratic equations with a variety of methods, including discrete methods (with and without technology).
3.12.1: Comparison, Estimation, and Conversion
3.12.1.1: Estimate and convert between customary and metric systems.
3.12.3: Formulas
3.12.3.1: Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations.
Area of Triangles
Estimating Population Size
3.12.5: Ratios and Proportions
3.12.5.1: Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems.
Area of Parallelograms
Area of Triangles
Circumference and Area of Circles
Perimeter and Area of Rectangles
Pyramids and Cones
4.12.1: Two - Dimensional Shapes
4.12.1.2: Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems.
4.12.5: Algebraic Connections
4.12.5.1: Determine the slope of lines using coordinate geometry and algebraic techniques.
Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line
4.12.5.2: Identify parallel, perpendicular, and intersecting lines by slope.
Cat and Mouse (Modeling with Linear Systems)
4.12.5.3: Graph linear equations and find possible solutions to those equations using coordinate geometry.
Point-Slope Form of a Line
Points, Lines, and Equations
4.12.5.4: Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines.
Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
4.12.6: Lines, Angles, and Their Properties
4.12.6.1: Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons.
Constructing Congruent Segments and Angles
Investigating Angle Theorems
Polygon Angle Sum
Triangle Angle Sum
4.12.7: Triangles
4.12.7.1: Apply the Pythagorean Theorem and its converse in mathematical and practical situations.
Circles
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Surface and Lateral Areas of Pyramids and Cones
Tangent Function
4.12.8: Constructions
4.12.8.1: Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships.
5.12.1: Data Collection and Organization
5.12.1.1: Organize statistical data through the use of tables, graphs, and matrices (with and without technology).
Describing Data Using Statistics
Stem-and-Leaf Plots
5.12.3: Interpretation of Data
5.12.3.1: Distinguish between a sample and a census.
Polling: City
Populations and Samples
5.12.3.3: Use the shape of a normal distribution to compare and analyze data from a sample.
Polling: City
Populations and Samples
5.12.4: Permutations and Combinations
5.12.4.1: Apply permutations and combinations to mathematical and practical situations, including the Fundamental Counting Principle.
Binomial Probabilities
Permutations and Combinations
5.12.5: Experimental and Theoretical Probability
5.12.5.1: Determine the probability of an event with and without replacement using sample spaces.
Geometric Probability
Independent and Dependent Events
Theoretical and Experimental Probability
5.12.5.2: Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments.
5.12.6: Statistical Inferences
5.12.6.1: Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment.
Correlation
Stem-and-Leaf Plots
5.12.6.2: Formulate and justify inferences based on a valid data sample.
Polling: City
Populations and Samples
Correlation last revised: 5/17/2018