Course Content
A. Numbers and Operations
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A.08. Explore real-world applications of rational and irrational numbers.
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A.01. Understand integers: addition, subtraction, multiplication, and division.
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A.02. Apply order of operations to integer expressions.
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A.03. Convert between decimals and fractions.
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A.04. Add and subtract rational numbers.
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A.05. Multiply and divide rational numbers.
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A.06. Simplify complex expressions involving rational numbers.
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A.07. Estimate and approximate irrational numbers.
B. Ratios, Rates, and Proportions
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B.01. Identify equivalent ratios.
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B.02. Write equivalent ratios.
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B.03. Calculate unit rates and unit prices.
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B.04. Solve proportions.
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B.05. Apply proportions to solve real-world problems (e.g., scale drawings).
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B.06. Analyze proportional relationships in various contexts.
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B.07. Understand the concept of scaling and its applications.
C. Percents
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C.01. Convert between percents, fractions, and decimals.
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C.02. Solve basic percent equations.
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C.03. Solve percent word problems (e.g., discounts, tax).
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C.04. Calculate percent of change.
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C.05. Apply percent change to solve real-world problems.
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C.06. Understand compound interest and its applications.
D. Properties of Numbers and Operations
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D.01. Understand properties of addition and multiplication (commutative, associative, distributive).
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D.02. Apply the distributive property to simplify expressions.
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D.03. Simplify variable expressions using properties.
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D.04. Understand properties of equality.
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D.05. Apply properties to solve equations and inequalities.
E. Exponents
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E.01. Understand the concept of exponents.
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E.02. Calculate powers with integer bases.
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E.03. Calculate powers with decimal and fractional bases.
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E.04. Understand and apply negative exponents.
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E.05. Perform multiplication with exponents (integral bases).
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E.06. Perform division with exponents (integral bases).
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E.07. Apply the power rule (integral bases).
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E.08. Perform multiplication and division with exponents (variable bases).
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E.09. Apply the power rule (variable bases).
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E.10. Evaluate expressions using exponent properties.
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E.11. Simplify expressions with exponents.
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E.12. Identify equivalent exponential expressions.
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E.13. Solve problems involving exponential growth and decay.
F. Scientific Notation
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F.01. Convert between standard and scientific notation.
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F.02. Compare numbers in scientific notation.
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F.03. Multiply numbers in scientific notation.
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F.04. Divide numbers in scientific notation.
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F.05. Apply scientific notation to solve real-world problems.
G. Geometry: Basic Shapes and Measurement
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G.01. Calculate perimeter.
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G.02. Calculate area of basic shapes.
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G.03. Calculate area of compound figures.
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G.04. Calculate area between two shapes.
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G.05. Understand symmetry and lines of symmetry.
H. Geometry: Transformations and Similarity
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H.01. Identify and draw lines of symmetry.
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H.02. Identify reflections, rotations, and translations.
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H.03. Find coordinates after transformations.
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H.04. Graph the image after transformations.
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H.05. Understand dilations and scale factors.
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H.06. Understand similar figures: side lengths and angle measures.
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H.07. Apply similarity to solve problems (e.g., indirect measurement).
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H.08. Analyze area and perimeter of similar figures.
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H.09. Analyze volume and surface area of similar solids.
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H.10. Understand the impact of scale changes on perimeter, area, and volume.
I. Geometry: Advanced Concepts
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I.01. Calculate interior angles of polygons.
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I.02. Understand transversals and parallel lines.
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I.03. Calculate volume of prisms and pyramids.
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I.04. Calculate volume of cones and cylinders.
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I.05. Calculate volume of spheres.
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I.06. Understand nets of three-dimensional figures.
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I.07. Calculate surface area of prisms and pyramids.
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I.08. Calculate surface area of cones and cylinders.
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I.09. Calculate surface area of spheres.
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I.10. Apply the Pythagorean theorem.
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I.11. Apply the Pythagorean theorem to solve word problems.
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I.12. Understand the converse of the Pythagorean theorem.
J. Circles
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J.01. Identify parts of a circle.
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J.02. Calculate area, circumference, radius, and diameter.
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J.03. Solve circle word problems.
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J.04. Understand central angles.
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J.05. Understand arc measure and arc length.
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J.06. Calculate area of sectors.
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J.07. Understand arcs and chords.
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J.08. Understand tangent lines.
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J.09. Calculate perimeter of polygons with inscribed circles.
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J.10. Understand inscribed angles.
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J.11. Analyze angles in inscribed triangles and quadrilaterals.
K. Coordinate Plane
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K.01. Review coordinate plane basics.
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K.02. Understand quadrants and axes.
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K.03. Calculate distance between two points.
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K.04. Graph linear equations and inequalities.
L. Variable Expressions and Equations
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L.01. Write variable expressions.
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L.02. Simplify variable expressions.
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L.03. Identify equivalent linear expressions.
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L.04. Write and solve one-step equations.
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L.05. Write and solve two-step equations.
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L.06. Solve equations with variables on both sides.
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L.07. Solve advanced linear equations.
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L.08. Determine the number of solutions to an equation.
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L.09. Create equations with specific solution sets.
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L.10. Solve linear equation word problems.
M. Inequalities
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M.01. Graph inequalities.
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M.02. Write inequalities from graphs.
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M.03. Identify solutions to inequalities.
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M.04. Solve one-step inequalities.
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M.05. Solve two-step inequalities.
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M.06. Solve advanced linear inequalities.
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M.07. Graph solutions to inequalities.
N. Data Analysis and Graphs
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N.01. Interpret bar graphs, line graphs, and histograms.
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N.02. Create bar graphs, line graphs, and histograms.
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N.03. Interpret circle graphs and stem-and-leaf plots.
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N.04. Interpret box-and-whisker plots.
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N.05. Interpret scatter plots, including outliers and lines of best fit.
O. Relations and Functions
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O.01. Understand relations: tables, graphs, mappings, and lists of points.
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O.02. Identify independent and dependent variables.
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O.03. Identify functions using the vertical line test.
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O.04. Find values using function graphs.
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O.05. Evaluate functions, including plugging in expressions.
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O.06. Complete function tables from graphs and equations.
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O.07. Interpret function graphs in context.
P. Direct Variation and Linear Functions
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P.01. Identify proportional relationships.
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P.02. Find the constant of variation.
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P.03. Graph proportional relationships.
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P.04. Write and solve direct variation equations.
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P.05. Identify linear functions.
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P.06. Find the slope of a graph and from two points.
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P.07. Find a missing coordinate using slope.
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P.08. Understand slope-intercept form.
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P.09. Graph equations in slope-intercept form.
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P.10. Write equations in slope-intercept form from graphs, tables, and word problems.
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P.11. Understand standard form of linear equations.
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P.12. Find intercepts and graph equations in standard form.
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P.13. Understand equations of horizontal and vertical lines.
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P.14. Graph horizontal and vertical lines.
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P.15. Understand point-slope form.
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P.16. Write and graph equations in point-slope form.
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P.17. Understand slopes of parallel and perpendicular lines.
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P.18. Write equations for parallel and perpendicular lines.
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P.19. Understand transformations of linear functions.
Q. Systems of Linear Equations
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Q.01. Determine if a point is a solution to a system of equations.
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Q.02. Solve systems of equations by graphing.
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Q.03. Solve systems of equations by graphing: word problems.
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Q.04. Determine the number of solutions to a system of equations graphically.
R. Monomials and Polynomials
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R.01. Identify monomials.
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R.02. Multiply monomials.
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R.03. Divide monomials.
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R.04. Multiply and divide monomials to find area.
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R.05. Calculate powers of monomials.
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R.06. Understand polynomial vocabulary.
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R.07. Model polynomials with algebra tiles.
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R.08. Add and subtract polynomials using algebra tiles.
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R.09. Add and subtract polynomials.
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R.10. Multiply a polynomial by a monomial.
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R.11. Multiply polynomials to find area.
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R.12. Divide polynomials by a monomial.
S. Logic and Reasoning
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S.01. Identify hypotheses and conclusions.
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S.02. Understand counterexamples.
T. Probability
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T.01. Understand theoretical and experimental probability.
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T.02. Find the number of outcomes in compound events.
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T.03. Identify independent and dependent events.
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T.04. Calculate probability of independent and dependent events.
U. Statistics
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U.01. Calculate mean, median, mode, and range.
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U.02. Interpret charts to find mean, median, mode, and range.
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U.03. Find missing values given mean, median, mode, and range.
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U.04. Understand quartiles.
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U.05. Identify biased samples.
