M-H-A-1: solve one-variable equations using manipulatives, symbols, procedures, and graphing.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations

M-H-A-2: solve two-variable linear equations using real numbers, real number operations, field properties, and order of operations.

Fractions with Unlike Denominators
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Solving Two-Step Equations

M-H-A-3: write and solve linear sentences, describing real-world situations by using and relating formulas, tables, graphs, and equations.

Linear Functions
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Solving Two-Step Equations
Using Tables, Rules and Graphs

M-H-A-4: use characteristics of the graphs of linear functions, such as slope and intercepts, transformations.

Functions Involving Square Roots
Linear Functions
Point-Slope Form of a Line - Activity A
Polynomials and Linear Factors
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Translating and Scaling Functions
Using Tables, Rules and Graphs

M-H-A-6: connect the skills to solve linear equations to solve linear inequalities.

Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations

M-H-A-7: write and solve linear inequalities.

Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

M-H-A-8: use the skills learned to solve linear equations and inequalities to solve numerically, graphically, or symbolically non-linear equations such as quadratic and exponential equations.

Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
Quadratic Inequalities - Activity A
Roots of a Quadratic
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

M-H-A-9: collect, organize, and display two-variable data, and use a curve of best fit as a model to make predictions.

Describing Data Using Statistics
Determining a Spring Constant

M-H-A-10: extend ideas of transformations of linear equations, such as vertical and horizontal shifts, to transformations of nonlinear equations.

Logarithmic Functions: Translating and Scaling
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A

M-H-A-11: write and solve proportion sentences.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Polling: Neighborhood
Similar Figures - Activity A
Similar Polygons

M-H-A-12: use proportional reasoning (ratios and proportions) to solve real-world problems.

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

M-H-A-13: solve problems that have direct or inverse relationships for any variable.

Determining a Spring Constant
Direct Variation
Direct and Inverse Variation

M-H-A-14: see the patterns in arithmetic sequences and geometric sequences using recursion (formulas expressing each term as a function of one or more of the previous terms).

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

M-H-A-15: see patterns in other sequences (e.g., quadratic, cubic).

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

M-H-A-16: relate the patterns in arithmetic sequences to linear equations.

Arithmetic Sequences
Arithmetic and Geometric Sequences

M-H-A-17: relate the patterns in geometric sequences to exponential equations (e.g., squared, cubed, nth power).

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

M-H-A-18: use strategies such as combinations and permutations (arrangements) to count discrete quantities (the study of mathematical properties of sets and systems that have a countable number of elements).

Binomial Probabilities
Permutations
Permutations and Combinations

M-H-A-19: design and conduct probability simulations, and interpret the results.

Geometric Probability - Activity A
Probability Simulations

M-H-G-1: find angle relationships such as vertical angles, linear pairs, complementary angles, and supplementary angles.

Investigating Angle Theorems - Activity A

M-H-G-2: identify relationships between and among points, lines, and planes, such as betweenness of points, midpoint, distance, collinear, coplanar, parallel, and skew lines.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Investigating Parallel Lines and Planes
Pythagorean Theorem - Activity A

M-H-G-4: connect geometric diagrams with algebraic representations.

Ellipse - Activity A
Hyperbola - Activity A

M-H-G-5: integrate constructions such as segments and angles, segment bisectors, perpendiculars, angle bisectors, parallel lines, circles, arcs, and polygons.

Chords and Arcs
Concurrent Lines, Medians, and Altitudes
Construct Parallel and Perpendicular Lines
Inscribing Angles

M-H-G-6: describe, draw, and construct two-dimensional and three-dimensional figures.

Classifying Triangles
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

M-H-G-7: use angle and side relationships such as triangle sum theorem, triangle inequalities, isosceles and equilateral triangle properties, altitude, and median.

Concurrent Lines, Medians, and Altitudes
Isosceles and Equilateral Triangles
Triangle Angle Sum - Activity A
Triangle Inequalities

M-H-G-8: use Pythagorean theorem and its converse.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

M-H-G-9: use right triangle relationships such as trigonometric ratios (45-45-90 and 30-60-90 triangles).

Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent

M-H-G-10: use properties of quadrilaterals such as classification.

Classifying Quadrilaterals - Activity B
Classifying Triangles
Parallelogram Conditions
Special Quadrilaterals
Triangle Angle Sum - Activity A

M-H-G-11: use properties of other polygons.

Classifying Triangles

M-H-G-12: use properties of circles, arcs, chords, central angles, inscribed angles, and concentric circles.

Chords and Arcs
Inscribing Angles

M-H-G-14: prove triangles and other polygons congruent and similar, and explore corresponding parts relationships.

Congruence in Right Triangles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures - Activity A
Similar Polygons

M-H-G-15: use proportional reasoning to solve real-world problems, to do indirect measurements, and to make scale drawings.

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

M-H-G-16: use relationships among one-, two-, and three-dimensional measures.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

M-H-G-17: use perimeter, circumference, and area of planar regions to determine volume and surface area of solids.

Circle: Circumference and Area
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

M-H-G-20: connect the concepts of slope, distance, and midpoint to coordinate geometry.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Slope - Activity B

M-H-G-21: use reflections, translations, rotations, and dilations.

Dilations
Reflections
Rotations, Reflections and Translations
Translations

M-H-G-22: explore concepts of vectors.

Vectors

M-H-G-23: use the relationship between a figure and its image under a transformation (congruence, similarity, size, and scale changes).

Constructing Congruent Segments and Angles
Dilations
Perimeters and Areas of Similar Figures
Reflections
Rotations, Reflections and Translations
Similar Figures - Activity A
Similar Polygons