Algebra Block #1: Pre-Algebra: Operations on Integers and Variables, Terms and Expressions Types of numbers; operations with integers (positive & negative); order of operations; algebraic properties including identity, zero, associate commutative, & distributive; factoring & prime factorization; translating phrases into algebraic expressions; inequalities; handling exponents; combining like terms; number line graphs; absolute value; practical applications of algebra using physics topics such as orbital mechanics and Kepler's Laws of Planetary Motion.

Algebra Block #2: Equations Order of operations; solving one and two step equations, algebraic properties including identity, zero, associate commutative, & distributive; translating phrases into algebraic expressions; handling exponents; combining like terms; practical applications of algebra using physics topics such as orbital mechanics and universal gravitation concepts.

Algebra Block #3: Rational Numbers and Inequalities Simplify algebraic expressions and equations; represent math relationships using algebra; evaluate variable expressions and functions; absolute value in expressions and equations; number line representations and modeling; interpret and solve linear equations and inequalities.

Algebra Block #4: Graphing Solve systems of linear equations using graphing, elimination and substitution methods; simplify algebraic expressions and equations; represent math relationships using algebra; graph linear functions; model and describe slope as a rate of change; identify the slope from a graph, table or equation; evaluate variable expressions and functions; scatter plots for bivariate data.

Algebra Block #5: Systems of Linear Equations Solve systems of linear equations using graphing, elimination and substitution methods; simplify algebraic expressions and equations; represent math relationships using algebra; graph linear functions; model and describe slope as a rate of change; identify the slope from a graph, table or equation; evaluate variable expressions and functions.

Algebra Block #6: Polynomials, Factoring and Exponents Solve non-linear equations using factoring, greatest common factors, differences in squares and cubes, sum of cubes, completing the square, trinomial solving techniques, four terms, mixed factoring, and third degree polynomial techniques. Students will continue to practice word problems, simplifying algebraic expressions and equations; representing math relationships using graphs and functions; and evaluating variable expressions and functions.

Algebra Block #7: Quadratic Formula and Equation, Rational and Radical Expressions Handling variables, terms, expressions; linear and non-linear equations and expressions as they appear in word problems; factoring and related methods of solving polynomials and systems of linear equations; simplifying algebraic expressions and equations; representing math relationships using graphs and functions; and evaluating variable expressions and functions.

Probability Block #1: Simple Probability and the Complement; Sample Space Probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring; approximate the probability of a chance event by collecting data and observing its relative frequency and predict the approximate relative frequency given the probability; find probabilities of compound events using organized lists, tables, tree diagrams, and simulation; probability of compound events represent sample spaces for compound events using organized lists, tables and tree diagrams; identify the outcomes in the sample space which compose the event; word problems and real-world applications.

Probability Block #2: Experimental and Theoretical Probability, Simulations and Predictions Develop a probability model and use it to find probabilities of events; compare probabilities from a model to observed frequencies; explain possible sources of observed discrepancies; design and use a simulation to generate frequencies for compound events; word problems and real-world applications.

Probability Block #3: Dependent and Independent Probability Events Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events; develop a probability model by observing frequencies in data generated from a chance process; word problems and real-world applications.

Probability Block #4: Review Students will practice skill-based problems, real-world application questions, and error analysis to support higher level thinking skills; represent sample spaces and determine probabilities for simple & compound events; solve problems involving qualitative and quantitative data; select and use simulations and make predictions for simple & compound events.

Geometry Block #1: Shapes and Constructions Part 1 Geometry fundamental concepts (point, line, plane, intersections, parallel, perpendicular, angle, colinear, congruence); constructions (triangles, circles, arcs, hexagons, bisectors, copying angles); transformations (dilation, translation, rotation, reflection); types of triangles; multiplying segments; word problems; technical drawing techniques; solving problems through modeling and geometric constructions.

Geometry Block #2: Shapes and Constructions Part 2 Geometry fundamentals, constructing shapes and figures using a straight edge and ruler; angle relationships; complementary, supplementary, vertical and adjacent angles, writing and solving linear equations; using a protractor to measure angles; bisecting lines and angles; constructing perpendiculars; properties and working with circles; constructing squares, rectangles, and parallelograms; relationships with alternating interior angles.

Geometry Block #3: Triangles Geometry fundamental concepts constructions (triangles, bisectors, angles); types of triangles; angle relationships; types of angles; applying triangle knowledge to real world problems; write and solve linear equations; angle relationships within a triangle; triangle inequality theorem; relating angles and sides of triangles; solving problems through modeling and geometric constructions.

Geometry Block #4: Circles Calculate area and circumference of a circle and use them to solve word problems; understand the relationship between the circumference and area of a circle; metric and standard measurement systems.

Geometry Block #5: Plane Geometry Part 1 Rectangles, Parallelograms, Triangles, Trapezoids, and Composite Figures Calculate perimeter and area of different types of triangles, trapezoids, squares, rectangles, parallelograms and quadrilaterals; composing and decomposing shapes into other shapes; creating solving real-world problems with composite figures.

Geometry Block #6: Plane Geometry Part 2 Similarity Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale; calculate perimeter and area for geometric shapes and composite figures in real world applications; use models and formulas to connect perimeter, circumference and area; determine critical attributes of similarity; solve problems involving similar shapes and scale drawings.

Geometry Block #7: Surface Area Calculating the total and lateral surface area of solid shapes such as pyramids, prisms, cones, cylinders, cubes, spheres and composite figures; solve real-world problems involving surface area calculations; plane sections; engineering and physics applications.

Geometry Block #8: Volume Solve real-world problems involving volume of prisms, pyramids, cones, cylinders, spheres and cubes; compute length, area and volume from given data; word problems; engineering and physics applications.

Geometry Block #9: Trigonometry of Right Triangles Constraints of triangles; parallel lines cut by transversals; types of angles including complementary, supplementary, adjacent, vertical, alternating interior and exterior, and criteria for similar triangles; compute length and areas from scale drawings; reproduce a scaled drawing of different scales; construction of triangles from three measures (angles or sides); unique, more than one or no triangle considerations; Pythagorean Theorem and converse; trigonometric functions (sin, cos, tan) to define triangles and solve for unknown sides and angles; engineering and physics applications.

Geometry Block #10: Number Sequences / Proofs Explore the world of number sequences, including arithmetic and geometric progressions, and discover how to identify patterns and determine general terms. Learn techniques for summing sequences and understanding the behavior of infinite series. Dive into mathematical proofs, starting with foundational concepts such as inductive and deductive reasoning, direct proofs, and proof by contradiction. Apply these skills to verify formulas, establish the properties of sequences, and solve challenging problems. Gain insights into how number sequences and proofs are applied in fields like computer science, engineering, and theoretical mathematics.

Statistics Block #1: Mean and Median, Measures of Center Measure of center for a numerical data set as it summarizes all of its values with a single number; measure of variation and how it describes its values vary that vary with a single number; describe measures of center, spread, and shape of a set of data; population and samples; population inferences; comparing two populations based on random samples and use data to make inferences.

Statistics Block #2: Range, IQR and MAD, Measures of Variability Exploring how a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape; population inferences; comparing two populations based on random samples and use data to make inferences.

Statistics Block #3: Dot Plots and Histograms Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers; display numerical data in plots on a number line, including dot plots and histograms; compare the shapes, centers and spreads of dot plots; real-world applications and word problems.

Statistics Block #4: Box Plots and Statistics Applications Display numerical data in a box plot; compare the shapes, centers and spreads of dot plot; two-way frequency data tables; center and shape of data; spread of data; scatter plots; real-world applications and word problems.