● Solving a word problem on proportions using a unit rate
● Interpreting a Venn diagram of 2 sets
● Perimeter of a rectangle on a grid
● Perimeter of a square or a rectangle
● Finding the missing length in a figure
● Perimeter of a piecewise rectangular figure
● Writing algebraic expressions for the perimeter of a figure
● Finding a side length given the perimeter and side lengths with variables
● Area of a rectangle on a grid
● Area of a square or a rectangle
● Distinguishing between the area and perimeter of a rectangle
● Areas of rectangles with the same perimeter
● Word problem involving the area of a rectangle - problem type 2
● Writing algebraic expressions for the area of a figure
● Finding side lengths of rectangles given one dimension and an area or a perimeter
● Finding side lengths of squares given an area and a perimeter
● Word problem on optimizing an area or perimeter
● Finding the dimensions of a rectangle given its perimeter and a relationship between sides
● Finding the perimeter or area of a rectangle given one of these values
● Area of a piecewise rectangular figure
● Word problem involving the area between two rectangles
● Naming segments rays and lines
● Analyzing relationships between points lines and planes given a figure
● Identifying parallel and perpendicular lines
● Matching basic geometric terms with their definitions
● Introduction to segment addition
● Computing the distance between two integers on a number line
● Computing distances between decimals on a number line
● Finding a point on a number line given the length of a segment and another point
● Midpoint of a number line segment - Integers
● Midpoint of a number line segment - Decimals
● Using a segment's midpoint and endpoint to locate the other endpoint
● Segment addition and midpoints
● Reading a point in the coordinate plane
● Plotting a point in the coordinate plane
● Finding distances between points that share a common coordinate given the graph
● Finding distances between points that share a common coordinate given their coordinates
● Introduction to the Pythagorean Theorem
● Distance between two points in the plane - Exact answers
● Distance between two points in the plane - Decimal answers
● Identifying congruent segments in the plane
● Midpoint of a line segment in the plane
● Finding an endpoint of a line segment given the other endpoint and the midpoint
● Measuring an angle with the protractor
● Drawing an angle with the protractor
● Acute obtuse and right angles
● Naming angles sides of angles and vertices
● Introduction to angle addition
● Finding the complement or supplement of an angle given a figure
● Solving an equation involving complementary or supplementary angles
● Finding supplementary and complementary angles
● Angle addition with relationships between angles
● Angle addition and angle bisectors
● Identifying linear pairs and vertical angles
● Finding angle measures given two intersecting lines
● Solving equations involving vertical angles and linear pairs
● Constructing congruent line segments
● Constructing an angle bisector
● Constructing congruent angles
● Constructing the perpendicular bisector of a line segment
● Conditional statements and negations
● The converse, inverse, and contrapositive of a conditional statement
● Finding counterexamples to conjectures
● Conditional statements and deductive reasoning
● Distinguishing between undefined terms, definitions, postulates, conjectures, and theorems
● Introduction to proofs - Justifying statements
● Proofs involving segment congruence
● Proofs involving angle congruence
● Identifying corresponding and alternate angles
● Finding angle measures given two parallel lines cut by a transversal
● Solving equations involving angles and a pair of parallel lines
● Solving equations involving angles and two pairs of parallel lines
● Establishing facts about the angles created when parallel lines are cut by a transversal
● Constructing a pair of perpendicular lines
● Constructing a pair of parallel lines
● Introduction to proofs involving parallel lines
● Proofs involving parallel lines
● Graphing a linear equation of the form y = mx
● Classifying slopes given graphs of lines
● Finding slope given the graph of a line on a grid
● Finding slope given two points on the line
● Rewriting a linear equation in the form Ax plus By = C
● Finding the slope and y-intercept of a line given its equation in the form y = mx plus b
● Writing an equation in slope-intercept form given the slope and a point
● Finding slopes of lines parallel and perpendicular to a line given in slope-intercept form
● Identifying parallel and perpendicular lines from equations
● Writing equations of lines parallel and perpendicular to a given line through a point
● Identifying parallel and perpendicular lines from coordinates
● Graphically solving a system of linear equations
● Solving a system of linear equations of the form y = mx plus b
● Acute, obtuse, and right triangles
● Classifying scalene, isosceles, and equilateral triangles by side lengths
● Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
● Finding an angle measure of a triangle given two angles
● Finding an angle measure for a triangle with an extended side
● Finding an angle measure given a triangle and parallel lines
● Finding angle measures of a triangle given angles with variables
● Establishing facts about the interior and exterior angles of a triangle
● Identifying and naming congruent parts of congruent triangles
● Determining if figures are related by rigid motions
● Exploring the triangle congruence theorems
● Completing proofs involving congruent triangles using SSS or SAS
● Introduction to proving triangles congruent using SSS or SAS
● Identifying and naming congruent triangles
● Completing proofs involving congruent triangles using ASA or AAS
● Introduction to proving triangles congruent using ASA or AAS
● Separating overlapping triangles and identifying common features
● Introduction to proving triangles congruent using the HL property
● Finding side lengths and angle measures of isosceles and equilateral triangles
● Finding an angle measure for a triangle sharing a side with another triangle
● Finding angle measures of an isosceles triangle given angles with variables
● Classifying segments inside triangles
● Using the circumcenter of a triangle to find segment lengths
● Using the incenter of a triangle to find segment lengths and angle measures
● Using the centroid of a triangle to find segment lengths
● Introduction to the triangle midsegment theorem
● Creating triangles from given side lengths - Problem type 1
● Creating triangles from given side lengths - Problem type 2
● Finding the sum of the interior angle measures of a convex polygon given the number of sides
● Finding the measures of an interior angle and an exterior angle of a regular polygon
● Finding the number of sides of a regular polygon given the measure of an interior angle
● Identifying parallelograms, rectangles, and squares
● Properties of quadrilaterals
● Finding measures involving diagonals of parallelograms
● Finding measures involving diagonals of rectangles
● Conditions for quadrilaterals
● Classifying parallelograms in the coordinate plane
● Writing ratios using different notations
● Writing ratios for real-world situations
● Solving a proportion - Basic
● Word problem on proportions - Problem type 1
● Word problem on proportions - Problem type 2
● Triangles and parallel lines
● Identifying and naming similar triangles
● Completing proofs involving the triangle proportionality theorem
● Finding lengths using scale models
● Finding a scale factor - Same units
● Using a scale drawing to find actual area
● Word problem involving the Pythagorean Theorem
● Using the Pythagorean Theorem repeatedly
● Identifying side lengths that give right triangles
● Special right triangles - Decimal answers
● Special right triangles - Exact answers
● Sine, cosine, and tangent ratios - Numbers for side lengths
● Sine, cosine, and tangent ratios - Variables for side lengths
● Using a calculator to approximate sine, cosine, and tangent values
● Using the Pythagorean Theorem to find a trigonometric ratio
● Finding trigonometric ratios given a right triangle
● Understanding trigonometric ratios through similar right triangles
● Using similar right triangles to find trigonometric ratios
● Using a trigonometric ratio to find a side length in a right triangle
● Using trigonometry to find a length in a word problem with one right triangle
● Using a trigonometric ratio to find an angle measure in a right triangle
● Using trigonometry to find angles of elevation or depression in a word problem
● Solving a triangle with the law of sines - Problem type 1
● Solving a triangle with the law of sines - Problem type 2
● Solving a word problem using the law of sines
● Solving a triangle with the law of cosines
● Solving a word problem using the law of cosines
● Translating a point and giving its coordinates - One step
● Translating a point and giving its coordinates - Two steps
● Properties of translated figures
● Determining if figures are related by a translation
● Reflecting a point across an axis
● Reflecting a point across an axis and giving its coordinates
● Finding the coordinates of a point reflected across an axis
● Reflecting a polygon across the x-axis or y-axis
● Determining if figures are related by a reflection
● Reflecting a polygon over a vertical or horizontal line
● Finding the coordinates of a point reflected across an axis and translated
● Understanding the definition of a reflection
● Rotating a point and giving its coordinates
● Determining if figures are related by a rotation
● Understanding the definition of a rotation
● Finding an angle of rotation
● Identifying rotational symmetry and angles of rotation
● Rotational and point symmetries
● Writing a rule to describe a translation
● Writing a rule to describe a reflection
● Writing a rule to describe a rotation
● Identifying transformations that map a quadrilateral onto itself
● Identifying transformations that map a regular polygon onto itself
● Determining if figures are congruent and related by a transformation
● Determining if figures are congruent and related by a sequence of transformations
● Dilating a segment and giving the coordinates of its endpoints
● The effect of dilation on side length
● Determining if figures are related by a dilation
● Writing a rule to describe a dilation
● Exploring similarity of circles
● Translating a point and giving its coordinates - One step
● Translating a point and giving its coordinates - Two steps
● Properties of translated figures
● Determining if figures are related by a translation
● Reflecting a point across an axis
● Reflecting a point across an axis and giving its coordinates
● Finding the coordinates of a point reflected across an axis
● Reflecting a polygon across the x-axis or y-axis
● Determining if figures are related by a reflection
● Reflecting a polygon over a vertical or horizontal line
● Finding the coordinates of a point reflected across an axis and translated
● Understanding the definition of a reflection
● Rotating a point and giving its coordinates
● Determining if figures are related by a rotation
● Understanding the definition of a rotation
● Finding an angle of rotation
● Identifying rotational symmetry and angles of rotation
● Rotational and point symmetries
● Writing a rule to describe a translation
● Writing a rule to describe a reflection
● Writing a rule to describe a rotation
● Identifying transformations that map a quadrilateral onto itself
● Identifying transformations that map a regular polygon onto itself
● Determining if figures are congruent and related by a transformation
● Determining if figures are congruent and related by a sequence of transformations
● Dilating a segment and giving the coordinates of its endpoints
● The effect of dilation on side length
● Determining if figures are related by a dilation
● Writing a rule to describe a dilation
● Exploring similarity of circles
● Identifying chords, secants, and tangents of a circle
● Tangents of a circle - Problem type 1
● Tangents of a circle - Problem type 2
● Naming and finding measures of central angles, inscribed angles, and arcs of a circle
● Applying properties of radii, diameters, and chords
● Angle measure in a circle graph
● Arc length and area of a sector of a circle
● Central angles and inscribed angles of a circle
● Central angles and angles involving chords and tangents of a circle
● Inscribed angles in relation to a diameter or a polygon inscribed in a circle
● Inscribed angles and angles involving chords and tangents of a circle
● Inscribing an equilateral triangle or a regular hexagon in a circle
● Angles of intersecting secants and tangents
● Lengths of chords, secants, and tangents
● Identifying the center and radius to graph a circle given its equation in standard form
● Identifying the center and radius to graph a circle given its equation in general form - Basic
● Identifying the center and radius to graph a circle given its equation in general form - Advanced
● Writing the equation of a circle centered at the origin given its radius or a point on the circle
● Writing an equation of a circle given its center and radius or diameter
● Introduction to the counting principle
● Computing permutations and combinations
● Introduction to permutations and combinations
● Permutations and combinations - Problem type 1
● Permutations and combinations - Problem type 2
● Determining a sample space and outcomes for a simple event
● Introduction to the probability of an event
● Experimental and theoretical probability
● Finding the odds in favor and against
● Computing a percentage from a table of values
● Determining a sample space and outcomes for a compound event
● Outcomes and event probability
● Probabilities involving two dice
● Identifying independent events given descriptions of experiments
● Probability of independent events
● Probability of dependent events
● Determining outcomes for compound events and complements of events
● Computing conditional probability using a two-way frequency table
● Computing conditional probability to make an inference using a two-way frequency table
● Using a Venn diagram to understand the addition rule for probability
● Identifying outcomes in a random number table used to simulate a compound event