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