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