ALEKS - Assessment and Learning
   

B.36 TX H.S. Geometry

 

Algebra Review
arith233 Introduction to exponents
arith048 Order of operations with whole numbers
arith051 Order of operations with whole numbers and grouping symbols
arith693 Order of operations with whole numbers and exponents: Basic
arith067 Simplifying a fraction
arith212 Equivalent fractions
arith687 Fractional position on a number line
arith667 Plotting fractions on a number line
arith711 Division involving zero
arith070 Least common multiple of 2 numbers
arith804 Least common multiple of 3 numbers
arith801 Finding the LCD of two fractions
arith664 Introduction to addition or subtraction of fractions with different denominators
arith230 Addition or subtraction of fractions with different denominators
arith803 Addition and subtraction of 3 fractions with different denominators
arith079 Product of a unit fraction and a whole number
arith086 Product of a fraction and a whole number: Problem type 1
arith053 Fraction multiplication
arith812 Product of a fraction and a whole number: Problem type 2
arith813 Multiplication of 3 fractions
arith821 Exponents and fractions
arith088 The reciprocal of a number
arith694 Division involving a whole number and a fraction
arith022 Fraction division
arith695 Complex fraction without variables: Problem type 1
arith015 Writing an improper fraction as a mixed number
arith619 Writing a mixed number as an improper fraction
arith808 Addition of mixed numbers with different denominators and carry
arith809 Subtraction of mixed numbers with different denominators and borrowing
arith807 Addition and subtraction of 3 mixed numbers with different denominators
arith815 Mixed number multiplication
arith816 Multiplication of a mixed number and a whole number
arith068 Mixed number division
arith110 Decimal place value: Tenths and hundredths
arith221 Rounding decimals
arith129 Introduction to ordering decimals
arith733 Using a calculator to convert a fraction to a rounded decimal
arith624 Addition of aligned decimals
arith735 Decimal subtraction: Basic
arith736 Decimal subtraction: Advanced
arith739 Introduction to decimal multiplication
arith017 Multiplication of a decimal by a whole number
arith082 Multiplication of a decimal by a power of ten
arith081 Division of a decimal by a whole number
arith083 Division of a decimal by a power of ten
alge286 Plotting integers on a number line
arith605 Plotting rational numbers on a number line
arith691 Ordering integers
arith200 Integer addition: Problem type 1
arith108 Integer addition: Problem type 2
arith688 Integer subtraction: Problem type 1
arith689 Integer subtraction: Problem type 2
arith690 Integer subtraction: Problem type 3
arith754 Addition and subtraction with 3 integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
arith118 Order of operations with integers
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith822 Signed fraction multiplication: Basic
arith117 Signed decimal addition and subtraction
arith702 Exponents and integers: Problem type 1
arith704 Exponents and signed fractions
arith071 Absolute value of a number
arith412 Finding all numbers with a given absolute value
arith440 Operations with absolute value: Problem type 1
alge284 Evaluating an algebraic expression: Whole number addition or subtraction
alge683 Evaluating an algebraic expression: Whole number multiplication or division
alge285 Evaluating an algebraic expression: Whole numbers with two operations
alge649 Evaluating a formula
alge648 Evaluating an algebraic expression: Whole numbers with one operation and an exponent
alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction
alge004 Evaluating a quadratic expression: Integers
alge700 Combining like terms: Whole number coefficients
alge607 Combining like terms: Integer coefficients
alge310 Multiplying a constant and a linear monomial
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge610 Distributive property: Fractional coefficients
alge608 Using distribution and combining like terms to simplify: Univariate
alge293 Combining like terms in a quadratic expression
alge432 Introduction to adding fractions with variables and common denominators
alge650 Identifying solutions to a one-step linear equation: Problem type 1
alge651 Identifying solutions to a one-step linear equation: Problem type 2
alge009 Additive property of equality with whole numbers
alge800 Additive property of equality with decimals
alge010 Additive property of equality with integers
alge836 Additive property of equality with signed fractions
alge008 Multiplicative property of equality with whole numbers
alge646 Multiplicative property of equality with whole numbers: Fractional answers
alge820 Multiplicative property of equality with fractions
alge825 Multiplicative property of equality with decimals
alge797 Multiplicative property of equality with integers
alge012 Multiplicative property of equality with signed fractions
alge834 Identifying solutions to a linear equation in one variable: Two-step equations
alge803 Using two steps to solve an equation with whole numbers
alge266 Additive property of equality with a negative coefficient
alge006 Solving a two-step equation with integers
alge815 Introduction to using substitution to solve a linear equation
alge200 Solving an equation to find the value of an expression
alge920 Introduction to solving an equation with parentheses
alge837 Solving a multi-step equation given in fractional form
alge986 Identifying properties used to solve a linear equation
alge838 Introduction to solving an equation with variables on the same side
alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side
alge611 Introduction to solving a linear equation with a variable on each side
alge863 Solving a linear equation with several occurrences of the variable: Variables on both sides
alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution
alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions
alge614 Clearing fractions in an equation
alge208 Solving a two-step equation with signed fractions
alge603 Introduction to solving an absolute value equation
alge658 Introduction to solving a rational equation
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge831 Translating a phrase into a one-step expression
alge016 Translating a sentence into a one-step equation
arith504 Writing an equation to represent a proportional relationship
alge511 Solving for a variable in terms of other variables using addition or subtraction: Basic
alge512 Solving for a variable in terms of other variables using addition or subtraction: Advanced
alge513 Solving for a variable in terms of other variables using multiplication or division: Basic
alge514 Solving for a variable in terms of other variables using multiplication or division: Advanced
alge517 Solving for a variable in terms of other variables using addition or subtraction with division
alge518 Solving for a variable inside parentheses in terms of other variables
alge507 Solving for a variable in terms of other variables in a linear equation with fractions
arith834 Converting between percentages and decimals
arith843 Using a calculator to convert a fraction to a rounded percentage
arith030 Finding a percentage of a whole number without a calculator: Basic
arith840 Finding a percentage of a whole number
arith862 Applying the percent equation: Problem type 1
arith686 Writing a ratio as a percentage
arith852 Finding the multiplier to give a final amount after a percentage increase or decrease
arith851 Finding the final amount given the original amount and a percentage increase or decrease
arith858 Finding the percentage increase or decrease: Basic
alge015 Translating a sentence by using an inequality symbol
alge653 Introduction to identifying solutions to an inequality
alge017 Graphing a linear inequality on the number line
alge186 Translating a sentence into a compound inequality
alge166 Graphing a compound inequality on the number line
alge652 Identifying solutions to a one-step linear inequality
alge848 Additive property of inequality with whole numbers
alge849 Additive property of inequality with integers
alge809 Multiplicative property of inequality with whole numbers
alge854 Multiplicative property of inequality with integers
alge964 Multiplicative property of inequality with signed fractions
alge844 Identifying solutions to a two-step linear inequality in one variable
alge636 Solving a two-step linear inequality with whole numbers
alge855 Solving a two-step linear inequality: Problem type 1
alge856 Solving a two-step linear inequality: Problem type 2
alge857 Solving a two-step linear inequality with a fractional coefficient
alge024 Introduction to the product rule of exponents
alge311 Product rule with positive exponents: Univariate
alge306 Introduction to the power of a power rule of exponents
alge305 Introduction to the power of a product rule of exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge798 Simplifying a sum or difference of two univariate polynomials
alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient
alge033 Multiplying binomials with leading coefficients of 1
alge983 Multiplying binomials with leading coefficients greater than 1
alge764 Multiplying conjugate binomials: Univariate
alge765 Multiplying binomials in two variables
alge032 Squaring a binomial: Univariate
alge068 Squaring a binomial: Multivariate
arith056 Factors
arith033 Greatest common factor of 2 numbers
alge605 Factoring a linear binomial
alge736 Introduction to the GCF of two monomials
alge738 Factoring out a monomial from a polynomial: Univariate
alge039 Factoring a quadratic with leading coefficient 1
alge936 Factoring out a constant before factoring a quadratic
alge939 Factoring a quadratic with leading coefficient greater than 1: Problem type 1
alge940 Factoring a quadratic with leading coefficient greater than 1: Problem type 2
alge944 Factoring a perfect square trinomial with leading coefficient 1
arith016 Square root of a perfect square
arith763 Using a calculator to approximate a square root
arith601 Square root of a rational perfect square
arith760 Square roots of perfect squares with signs
arith761 Square roots of integers raised to even exponents
alge415 Introduction to simplifying a radical expression with an even exponent
alge264 Square root of a perfect square monomial
alge537 Using absolute value to simplify square roots of perfect square monomials
arith094 Cube root of an integer
arith093 Simplifying the square root of a whole number less than 100
arith762 Simplifying the square root of a whole number greater than 100
alge080 Simplifying a radical expression with an even exponent
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
arith767 Introduction to square root addition or subtraction
arith766 Simplifying a quotient of square roots
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge400 Introduction to solving a radical equation
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge698 Solving an equation of the form x3 = a using integers
alge681 Solving an equation written in factored form
alge956 Finding the roots of a quadratic equation of the form ax2 + bx = 0
alge045 Finding the roots of a quadratic equation with leading coefficient 1
alge048 Finding the roots of a quadratic equation with leading coefficient greater than 1
alge211 Solving a quadratic equation needing simplification
alge962 Solving an equation of the form x2 = a using the square root property
alge958 Solving a quadratic equation using the square root property: Decimal answers, basic
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge095 Applying the quadratic formula: Exact answers
alge963 Applying the quadratic formula: Decimal answers
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
geom618 Perimeter of a polygon involving mixed numbers and fractions
geom221 Finding the missing length in a figure
geom353 Perimeter of a piecewise rectangular figure
alge615 Writing algebraic expressions for the perimeter of a figure
geom817 Finding a side length given the perimeter and side lengths with variables
geom078 Sides of polygons having the same perimeter
geom019 Area of a square or a rectangle
geom866 Perimeter and area on a grid
geom620 Area of a rectangle involving fractions
geom619 Area of a rectangle involving mixed numbers and fractions
geom350 Distinguishing between the area and perimeter of a rectangle
geom351 Areas of rectangles with the same perimeter
geom340 Area of a piecewise rectangular figure
geom562 Area between two rectangles
geom869 Estimates and exact answers
alge616 Writing algebraic expressions for the area of a figure
geom564 Finding side lengths of squares given an area and a perimeter
geom648 Finding side lengths of rectangles given one dimension and an area or a perimeter
geom561 Finding the dimensions of a rectangle given its perimeter and a relationship between sides
geom143 Finding the perimeter or area of a rectangle given one of these values
geom410 Word problem involving the area of a square or a rectangle
geom142 Word problem involving the area between two rectangles
geom444 Word problem on optimizing an area or perimeter
mstat033 Measuring length to the nearest inch
mstat034 Measuring length to the nearest quarter or half inch
unit005 U.S. Customary unit conversion with whole number values
mstat035 Conversions involving measurements in feet and inches
mstat036 Adding measurements in feet and inches
unit006 U.S. Customary unit conversion with whole number values: Two-step conversion
mstat063 Measuring length to the nearest centimeter
mstat064 Measuring length to the nearest millimeter
unit001 Metric distance conversion with whole number values
unit002 Metric mass or capacity conversion with whole number values
unit003 Metric distance conversion with decimal values
unit004 Metric conversion with decimal values: Two-step problem
unit034 Converting between metric and U.S. Customary unit systems
unit009 U.S. Customary area unit conversion with whole number values
unit010 Metric area unit conversion with decimal values
Segments and Angles
geom349 Naming segments, rays, and lines
geom459 Analyzing relationships between points, lines, and planes given a figure
geom359 Identifying congruent shapes on a grid
geom358 Identifying parallel and perpendicular lines
geom407 Matching basic geometric terms with their definitions
geom392 Introduction to segment addition
alge694 Computing the distance between two integers on a number line
geom394 Computing distances between decimals on a number line
geom393 Finding a point on a number line given the length of a segment and another point
geom395 Midpoint of a number line segment: Integers
geom396 Midpoint of a number line segment: Decimals
geom397 Using a segment's midpoint and endpoint to locate the other endpoint
geom521 Segment addition and midpoints
geom399 Finding a point that partitions a number line segment in a given fractional relationship
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge693 Plotting a point in the coordinate plane: Mixed number coordinates
arith404 Naming the quadrant or axis of a point given its graph
arith405 Naming the quadrant or axis of a point given its coordinates
arith406 Naming the quadrant or axis of a point given the signs of its coordinates
alge850 Table for a linear equation
alge695 Finding distances between points that share a common coordinate given the graph
alge696 Finding distances between points that share a common coordinate given their coordinates
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge675 Using the Pythagorean Theorem to find distance on a grid
alge132 Distance between two points in the plane: Exact answers
alge324 Distance between two points in the plane: Decimal answers
geom458 Identifying congruent segments in the plane
alge191 Midpoint of a line segment in the plane
alge414 Finding an endpoint of a line segment given the other endpoint and the midpoint
geom406 Finding a point that partitions a segment in the plane in a given fractional relationship
geom151 Measuring an angle with the protractor
geom152 Drawing an angle with the protractor
geom303 Acute, obtuse, and right angles
geom460 Naming angles, sides of angles, and vertices
geom039 Finding supplementary and complementary angles
geom454 Introduction to angle addition
geom551 Finding the complement or supplement of an angle given a figure
geom552 Solving an equation involving complementary or supplementary angles
geom850 Angle addition with relationships between angles
geom851 Angle addition and angle bisectors
geom800 Identifying linear pairs and vertical angles
geom553 Finding angle measures given two intersecting lines
geom500 Solving equations involving vertical angles and linear pairs
geom389 Constructing congruent line segments
geom158 Constructing an angle bisector
geom159 Constructing congruent angles
geom154 Constructing the perpendicular bisector of a line segment
geom457 Making conjectures given a geometric construction
Reasoning
alge925 Finding the next terms of an arithmetic sequence with whole numbers
alge906 Finding the next terms of an arithmetic sequence with integers
alge933 Finding the next terms of a geometric sequence with whole numbers
alge907 Finding the next terms of a geometric sequence with signed numbers
alge732 Finding patterns in shapes
mstat042 Interpreting a Venn diagram of 2 sets
glogic001 Conditional statements and negations
glogic005 The converse, inverse, and contrapositive of a conditional statement
glogic011 Writing the converse, inverse, and contrapositive of a conditional statement and determining their truth values
glogic012 Writing a biconditional statement as a conditional statement and its converse and determining truth values
glogic013 Finding counterexamples to conjectures
glogic008 Conditional statements and deductive reasoning
geom665 Distinguishing between undefined terms, definitions, postulates, conjectures, and theorems
geom616 Introduction to proofs: Justifying statements
geom614 Proofs involving segment congruence
geom611 Proofs involving angle congruence
Lines
geom304 Identifying corresponding and alternate angles
geom554 Finding angle measures given two parallel lines cut by a transversal
geom531 Solving equations involving angles and a pair of parallel lines
geom503 Solving equations involving angles and two pairs of parallel lines
geom584 Establishing facts about the angles created when parallel lines are cut by a transversal
geom150 Constructing a pair of perpendicular lines
geom157 Constructing a pair of parallel lines
geom835 Introduction to proofs involving parallel lines
geom836 Proofs involving parallel lines
fun001 Table for a linear function
alge873 Identifying solutions to a linear equation in two variables
alge066 Finding a solution to a linear equation in two variables
alge877 Graphing a linear equation of the form y = mx
alge878 Graphing a line given its equation in slope-intercept form: Integer slope
alge879 Graphing a line given its equation in slope-intercept form: Fractional slope
alge880 Graphing a line given its equation in standard form
alge198 Graphing a vertical or horizontal line
alge884 Finding x- and y-intercepts given the graph of a line on a grid
alge924 Finding x- and y-intercepts of a line given the equation: Basic
alge210 Finding x- and y-intercepts of a line given the equation: Advanced
alge197 Graphing a line given its x- and y-intercepts
alge881 Graphing a line by first finding its x- and y-intercepts
alge875 Classifying slopes given graphs of lines
alge886 Finding slope given the graph of a line on a grid
alge887 Finding slope given two points on the line
alge885 Finding the slope of horizontal and vertical lines
alge814 Using right triangles to find the slope of a line
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with a given slope
alge891 Rewriting a linear equation in the form Ax + By = C
alge889 Finding the slope and y-intercept of a line given its equation in the form y = mx + b
alge890 Finding the slope and y-intercept of a line given its equation in the form Ax+By=C
alge882 Graphing a line by first finding its slope and y-intercept
alge258 Writing an equation of a line given its slope and y-intercept
alge892 Writing an equation and graphing a line given its slope and y-intercept
alge893 Writing an equation in slope-intercept form given the slope and a point
alge318 Finding the slope and a point on a line given its equation in point-slope form
alge883 Graphing a line given its equation in point-slope form
alge894 Writing an equation in point-slope form given the slope and a point
alge313 Writing an equation in standard form given the slope and a point
alge070 Writing an equation of a line given the y-intercept and another point
alge072 Writing the equation of the line through two given points
alge073 Writing the equations of vertical and horizontal lines through a given point
geom806 Finding slopes of lines parallel and perpendicular to a line given in slope-intercept form
geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C
alge895 Identifying parallel and perpendicular lines from equations
geom808 Writing equations of lines parallel and perpendicular to a given line through a point
geom462 Identifying parallel and perpendicular lines from coordinates
alge914 Identifying solutions to a system of linear equations
alge725 Graphically solving a system of linear equations
alge816 Solving a system of linear equations of the form y = mx + b
alge751 Solving a system of linear equations using substitution
alge915 Solving a system of linear equations using elimination with addition
alge076 Solving a system of linear equations using elimination with multiplication and addition
Triangles
geom306 Acute, obtuse, and right triangles
geom626 Classifying scalene, isosceles, and equilateral triangles by side lengths
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
geom322 Identifying coordinates that give right triangles
geom323 Identifying scalene, isosceles, and equilateral triangles given coordinates of their vertices
geom001 Finding an angle measure of a triangle given two angles
geom908 Finding an angle measure for a triangle with an extended side
geom812 Finding an angle measure given extended triangles
geom813 Finding an angle measure given a triangle and parallel lines
geom628 Finding angle measures of a triangle given angles with variables
geom586 Establishing facts about the interior angles of a triangle
geom587 Establishing facts about the interior and exterior angles of a triangle
geom357 Identifying transformations
geom519 Identifying and naming congruent parts of congruent triangles
geom325 Determining if figures are related by rigid motions
geom327 Examining triangle congruence in terms of rigid motion
geom329 Exploring the triangle congruence theorems
geom418 Completing proofs involving congruent triangles using SSS or SAS
geom420 Introduction to proving triangles congruent using SSS or SAS
geom520 Identifying and naming congruent triangles
geom419 Completing proofs involving congruent triangles using ASA or AAS
geom421 Introduction to proving triangles congruent using ASA or AAS
geom837 Proofs involving congruent triangles and segment or angle bisectors
geom647 Separating overlapping triangles and identifying common features
geom840 Proofs involving congruent triangles that overlap: Basic
geom423 Proofs involving congruent triangles with parallel or perpendicular segments
geom424 Determining when to apply the HL congruence property
geom425 Introduction to proving triangles congruent using the HL property
geom422 Introduction to proofs involving congruent triangles and CPCTC
geom839 Proofs involving congruent triangles, parallel or perpendicular segments, and CPCTC
geom843 Proofs involving congruent triangles that overlap: Advanced
geom645 Finding side lengths and angle measures of isosceles and equilateral triangles
geom309 Finding an angle measure for a triangle sharing a side with another triangle
geom629 Finding angle measures of an isosceles triangle given angles with variables
geom363 Proofs of theorems involving isosceles triangles
geom449 Classifying segments inside triangles
geom446 Using the circumcenter of a triangle to find segment lengths
geom447 Using the incenter of a triangle to find segment lengths and angle measures
geom448 Using the centroid of a triangle to find segment lengths
geom413 Introduction to the triangle midsegment theorem
geom324 Proving the triangle midsegment theorem in the coordinate plane
geom441 Proof involving points on the perpendicular bisector of a line segment
geom544 Creating triangles from given side lengths: Problem type 1
geom634 Creating triangles from given side lengths: Problem type 2
geom844 Using triangle inequality to determine if side lengths form a triangle
geom664 Using triangle inequality to determine possible lengths of a third side
geom548 Determining if a triangle is possible based on given angle measures
geom549 Determining if given measurements define a unique triangle, more than one triangle, or no triangle
geom546 Drawing triangles with given conditions: Angle measures
geom547 Drawing triangles with given conditions: Side lengths and angle measures
geom543 Drawing a circle with a given radius or diameter
geom545 Drawing triangles with given side lengths using a compass
geom854 Relationship between angle measures and side lengths in a triangle
geom855 Relationship between angle measures and side lengths in two triangles
geom451 Using the hinge theorem
geom650 Indirect proof (proof by contradiction)
Polygons and Quadrilaterals
geom361 Naming polygons
geom870 Sum of the angle measures of a quadrilateral
geom656 Finding the sum of the interior angle measures of a convex polygon given the number of sides
geom655 Finding the number of sides of a convex polygon given the sum of the measures of the interior angles
geom657 Finding a missing interior angle measure in a convex polygon
geom658 Finding the measures of an interior angle and an exterior angle of a regular polygon
geom659 Finding the number of sides of a regular polygon given the measure of an interior angle
geom867 Identifying parallelograms, rectangles, and squares
geom310 Properties of quadrilaterals
geom532 Classifying parallelograms
geom528 Finding measures involving diagonals of parallelograms
geom527 Conditions for parallelograms
geom833 Finding measures involving diagonals of rectangles
geom436 Finding angle measures involving diagonals of a rhombus
geom523 Conditions for quadrilaterals
geom661 Completing proofs of theorems involving sides of a parallelogram
geom662 Completing proofs of theorems involving angles of a parallelogram
geom536 Drawing and identifying a polygon in the coordinate plane
geom818 Finding the coordinates of a point to make a parallelogram
geom819 Finding coordinates of vertices of polygons
geom321 Proving that a quadrilateral with given vertices is a parallelogram
geom408 Classifying parallelograms in the coordinate plane
geom863 Congruence in the coordinate plane
Similarity
arith823 Writing ratios using different notations
arith663 Writing ratios for real-world situations
arith824 Simplifying a ratio of whole numbers: Problem type 1
arith825 Simplifying a ratio of decimals
alge819 Solving a proportion of the form x/a=b/c: Basic
alge272 Solving a proportion of the form x/a = b/c
alge840 Solving a proportion of the form (x+a)÷b = c÷d
alge271 Solving a proportion of the form a/(x+b) = c/x
arith064 Solving a word problem on proportions using a unit rate
arith610 Word problem on proportions: Problem type 1
arith611 Word problem on proportions: Problem type 2
alge888 Finding the coordinate that yields a given slope
geom390 Finding a point that partitions a number line segment in a given ratio
geom391 Finding a point that partitions a segment in the plane in a given ratio
geom360 Identifying similar or congruent shapes on a grid
geom583 Finding angle measures of a triangle given two angles of a similar triangle
geom585 Finding angle measures and side ratios to determine if two triangles are similar
geom037 Similar polygons
geom038 Similar right triangles
geom337 Indirect measurement
geom510 Triangles and parallel lines
geom475 Triangles and angle bisectors
geom326 Determining if figures are related by similarity transformations
geom328 Examining triangle similarity in terms of similarity transformations
geom364 Identifying and naming similar triangles
geom365 Proofs involving similar triangles
geom472 Completing proofs involving the triangle proportionality theorem
geom461 Proving the slope criterion for parallel or perpendicular lines
geom538 Finding lengths using scale models
geom539 Finding a scale factor: Same units
geom541 Using a scale drawing to find actual area
geom542 Reproducing a scale drawing at a different scale
Right Triangles and Trigonometry
alge408 Word problem involving the Pythagorean Theorem
alge713 Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
geom862 Using the Pythagorean Theorem repeatedly
geom603 Identifying side lengths that give right triangles
geom589 Demonstrating the converse of the Pythagorean Theorem
geom452 Identifying similar right triangles that overlap
geom507 Right triangles and geometric mean
geom473 Proving the Pythagorean Theorem using similar triangles
geom860 Special right triangles: Decimal answers
geom506 Special right triangles: Exact answers
pcalc609 Sine, cosine, and tangent ratios: Numbers for side lengths
pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths
pcalc616 Using a calculator to approximate sine, cosine, and tangent values
pcalc606 Using the Pythagorean Theorem to find a trigonometric ratio
pcalc008 Finding trigonometric ratios given a right triangle
geom317 Understanding trigonometric ratios through similar right triangles
geom316 Relationship between the sines and cosines of complementary angles
geom318 Using similar right triangles to find trigonometric ratios
pcalc607 Using a trigonometric ratio to find a side length in a right triangle
pcalc610 Using trigonometry to find a length in a word problem with one right triangle
pcalc642 Solving a right triangle
pcalc608 Using a trigonometric ratio to find an angle measure in a right triangle
pcalc611 Using trigonometry to find angles of elevation or depression in a word problem
pcalc031 Solving a triangle with the law of sines: Problem type 1
pcalc032 Solving a triangle with the law of sines: Problem type 2
pcalc644 Solving a word problem using the law of sines
geom320 Proving the law of sines
pcalc033 Solving a triangle with the law of cosines
pcalc645 Solving a word problem using the law of cosines
geom409 Proving the law of cosines
pcalc063 Translation of a vector
pcalc739 Multiplication of a vector by a scalar: Geometric approach
pcalc060 Magnitude of a vector given in component form
geom856 Vector addition and scalar multiplication: Component form
vector008 Linear combination of vectors: Component form
geom857 Vector addition: Geometric approach
vector007 Vector subtraction: Geometric approach
vector002 Finding the magnitude and direction of a vector given its graph
vector005 Finding the components of a vector given its graph
Transformations
geom596 Translating a point and giving its coordinates: One step
geom909 Translating a point and giving its coordinates: Two steps
geom597 Properties of translated figures
geom598 Determining if figures are related by a translation
geom330 Translating a polygon
geom331 Using a translated point to find coordinates of other translated points
geom375 Understanding the definition of a translation
pcalc038 Addition or subtraction of matrices
arith408 Reflecting a point across an axis
geom533 Reflecting a point across both coordinate axes
geom590 Reflecting a point across an axis and giving its coordinates
arith407 Finding the coordinates of a point reflected across an axis
geom560 Finding the coordinates of a point reflected across both axes
geom534 Reflecting a polygon across the x-axis or y-axis
geom591 Properties of reflected figures
geom592 Determining if figures are related by a reflection
geom332 Reflecting a polygon over a vertical or horizontal line
geom333 Finding the coordinates of three points reflected over an axis
geom602 Finding the coordinates of a point reflected across an axis and translated
geom376 Understanding the definition of a reflection
geom593 Rotating a point and giving its coordinates
geom594 Properties of rotated figures
geom595 Determining if figures are related by a rotation
geom335 Rotating a figure about the origin
geom377 Understanding the definition of a rotation
geom334 Drawing lines of symmetry
geom815 Finding an angle of rotation
geom624 Identifying rotational symmetry and angles of rotation
geom831 Rotational and point symmetries
geom369 Writing a rule to describe a translation
geom370 Writing a rule to describe a reflection
geom371 Writing a rule to describe a rotation
geom373 Identifying transformations that map a quadrilateral onto itself
geom374 Identifying transformations that map a regular polygon onto itself
geom580 Determining if figures are congruent and related by a transformation
geom581 Determining if figures are congruent and related by a sequence of transformations
geom606 Dilating a segment and giving the coordinates of its endpoints
geom607 The effect of dilation on side length
geom608 Determining if figures are related by a dilation
geom636 The effect of dilation on area
geom336 Dilating a figure
geom372 Writing a rule to describe a dilation
geom582 Determining if figures are similar and related by a sequence of transformations
geom463 Exploring similarity of circles
geom379 Exploring the effect of dilation on lines
pcalc037 Scalar multiplication of a matrix
Area and Volume
geom022 Area of a parallelogram
geom501 Finding the area of a right triangle on a grid
geom509 Finding the area of a right triangle or its corresponding rectangle
geom801 Area of a triangle
geom537 Finding the perimeter or area of a rectangle in the coordinate plane
geom430 Word problem on population density
geom426 Finding the perimeter of a triangle, trapezoid, or parallelogram in the coordinate plane
geom437 Finding the area of a triangle or parallelogram in the coordinate plane
geom440 Finding the area of a right triangle using the Pythagorean Theorem
geom068 Computing an area using the Pythagorean Theorem
geom588 Informal proof of the Pythagorean Theorem
geom344 Area involving rectangles and triangles
alge724 Finding an area in terms of variables
geom439 Using trigonometry to find the area of a right triangle
pcalc646 Finding the area of a triangle using trigonometry
geom319 Expressing the area of a triangle in terms of the sine of one of its angles
pcalc647 Heron's formula
geom517 Finding the area of a trapezoid on a grid by using triangles and rectangles
geom023 Area of a trapezoid
geom434 Area of a rhombus
geom435 Finding the area of a rhombus using the Pythagorean Theorem
geom438 Finding the area of a trapezoid, rhombus, or kite in the coordinate plane
geom213 Area of a regular polygon
geom479 Finding the area of a regular polygon using special right triangles
geom481 Side lengths, perimeters, and areas of similar polygons
geom347 Introduction to a circle: Diameter, radius, and chord
geom016 Circumference of a circle
geom218 Finding the radius or the diameter of a circle given its circumference
geom427 Informal argument for the formula of the circumference of a circle
geom838 Circumference ratios
geom301 Perimeter involving rectangles and circles
geom026 Area of a circle
geom802 Circumference and area of a circle
geom477 Circumference and area of a circle: Exact answers in terms of pi
geom570 Distinguishing between the area and circumference of a circle
geom428 Informal argument for the formula of the area of a circle
geom302 Area involving rectangles and circles
geom563 Area between two concentric circles
geom036 Word problem involving the area between two concentric circles
geom214 Area involving inscribed figures
geom649 Area involving multiple inscribed figures
geom212 Circles inscribed in and circumscribed about regular polygons
geom126 Area of a sector of a circle: Exact answer in terms of pi
geom429 Informal argument for the formula of the area of a sector
geom868 Classifying solids
geom348 Vertices, edges, and faces of a solid
geom219 Nets of solids
geom861 Nets of solids: Advanced
geom830 Counting the cubes in a solid made of cubes
geom816 Side views of a solid made of cubes
geom550 Identifying horizontal and vertical cross sections of solids
geom381 Identifying solids generated by rotations of two-dimensional regions
geom443 Identifying geometric shapes that model real-world objects
geom491 Identifying properties of Euclidean and spherical geometries
geom031 Surface area of a cube or a rectangular prism
geom632 Surface area of a rectangular prism made of unit cubes
geom556 Using a net to find the surface area of a rectangular prism
geom576 Word problem involving the surface area of a rectangular prism
geom345 Surface area of a piecewise rectangular prism made of unit cubes
geom091 Surface area of a triangular prism
geom557 Using a net to find the surface area of a triangular prism
geom621 Surface area of a cylinder
geom034 Surface area of a cylinder: Exact answers in terms of pi
geom578 Word problem involving the surface area of a cylinder
geom484 Word problem involving the surface area of rectangular prisms and cylinders
geom483 Word problem involving the surface area of rectangular prisms and pyramids
geom354 Volume of a rectangular prism made of unit cubes
geom311 Volume of a rectangular prism
geom555 Distinguishing between surface area and volume
geom518 Volume of a solid made of cubes with unit fraction edge lengths
geom535 Volume of a rectangular prism with fractional edge lengths
geom865 Measuring the net of a solid to find surface area or volume
geom382 Volume of an oblique rectangular prism
alge617 Writing equivalent expressions for the volume of a rectangular prism
geom565 Finding the side length of a cube given its volume
geom571 Word problem involving the volume of a rectangular prism
geom558 Word problem involving the rate of filling or emptying a rectangular prism
geom386 Computations involving density, mass, and volume
geom387 Word problem on density involving the volume of a rectangular solid
geom505 Volume of a piecewise rectangular prism
geom090 Volume of a triangular prism
geom572 Word problem involving the volume of a triangular prism
geom035 Volume of a cylinder
geom385 Informal argument for the formula of the volume of a cylinder
geom383 Volume of an oblique cylinder
geom573 Word problem involving the volume of a cylinder
geom092 Word problem involving the rate of filling or emptying a cylinder
geom388 Word problem on density involving the volume of a cylindrical solid
geom384 Using cross sections to identify solids with the same volume
geom133 Ratio of volumes
geom033 Volume of a pyramid
geom637 Relating the volumes of a rectangular prism and a rectangular pyramid
geom638 Relating the volumes of a triangular prism and a triangular pyramid
geom622 Volume of a cone
geom086 Volume of a cone: Exact answers in terms of pi
geom654 Informal argument for the formula of the volume of a cone
geom639 Relating the volumes of a cylinder and a cone
geom575 Word problem involving the volume of a cone
geom842 Surface area of a sphere
geom841 Volume of a sphere
geom574 Word problem involving the volume of a sphere
geom488 Identifying similar solids
geom846 Computing ratios of side lengths, surface areas, and volumes for similar solids
geom489 Computing side length, surface area, and volume for similar solids
geom490 Word problem involving volumes of similar solids
Circles
geom464 Identifying chords, secants, and tangents of a circle
geom848 Tangents of a circle: Problem type 1
geom849 Tangents of a circle: Problem type 2
geom470 Constructing a tangent of a circle
geom465 Naming and finding measures of central angles, inscribed angles, and arcs of a circle
geom467 Applying properties of radii, diameters, and chords
geom814 Angle measure in a circle graph
geom466 Arc length
geom805 Arc length and area of a sector of a circle
geom653 Computing ratios of arc lengths to radii and describing the result
pcalc002 Converting between degree and radian measure: Problem type 1
geom468 Central angles and inscribed angles of a circle
geom469 Central angles and angles involving chords and tangents of a circle
geom666 Inscribed angles in relation to a diameter or a polygon inscribed in a circle
geom667 Inscribed angles and angles involving chords and tangents of a circle
geom492 Establishing facts about a quadrilateral inscribed in a circle
geom312 Inscribing an equilateral triangle or a regular hexagon in a circle
geom313 Inscribing a square in a circle
geom314 Inscribing a circle in a triangle
geom315 Circumscribing a circle about a triangle
geom567 Angles of intersecting secants and tangents
geom568 Lengths of chords, secants, and tangents
geom496 Identifying the center and radius to graph a circle given its equation in standard form
alge094 Completing the square
geom497 Identifying the center and radius to graph a circle given its equation in general form: Basic
geom668 Identifying the center and radius to graph a circle given its equation in general form: Advanced
geom499 Writing the equation of a circle centered at the origin given its radius or a point on the circle
geom495 Writing an equation of a circle and identifying points that lie on the circle
geom498 Writing an equation of a circle given its center and radius or diameter
geom493 Deriving the equation of a circle using the Pythagorean Theorem
pcalc065 Writing an equation of a circle given its center and a point on the circle
pcalc066 Writing an equation of a circle given the endpoints of a diameter
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
pcalc566 Graphing a parabola of the form y2 = ax or x2 = ay
geom494 Deriving the equation of a parabola given its focus and directrix
Probability
mstat043 Interpreting a Venn diagram of 3 sets
mstat041 Interpreting a tree diagram
mstat040 Introduction to the counting principle
mstat015 Counting principle
pcalc082 Factorial expressions
mstat017 Computing permutations and combinations
pcalc809 Introduction to permutations and combinations
pcalc810 Permutations and combinations: Problem type 1
pcalc089 Permutations and combinations: Problem type 2
stat790 Permutations, combinations, and the multiplication principle for counting
mstat099 Determining a sample space and outcomes for a simple event
mstat100 Determining a sample space and outcomes for a compound event
mstat026 Introduction to the probability of an event
mstat010 Probability of an event
mstat046 Experimental and theoretical probability
stat106 Outcomes and event probability
stat112 Probabilities involving two dice
mstat116 Probabilities of a permutation and a combination
mstat048 Odds of an event
mstat011 Area as probability
mstat085 Identifying outcomes in a random number table used to simulate a compound event
mstat086 Using a random number table to simulate a compound event
mstat047 Introduction to expectation
mstat114 Using a random number table to make a fair decision
mstat097 Constructing a two-way frequency table: Basic
mstat098 Constructing a two-way frequency table: Advanced
mstat049 Computing a percentage from a table of values
stat020 Calculating relative frequencies in a contingency table
mstat019 Identifying independent events given descriptions of experiments
stat850 Probability of independent events
stat851 Probability of dependent events
stat117 Probabilities of draws with replacement
stat118 Probabilities of draws without replacement
mstat115 Determining outcomes for compound events and complements of events
mstat110 Using a Venn diagram to understand the multiplication rule for probability
mstat107 Outcomes and event probability: Conditional probability
mstat104 Identifying independent events given values of probabilities
mstat105 Computing conditional probability using a two-way frequency table
mstat106 Computing conditional probability to make an inference using a two-way frequency table
mstat118 Conditional probability: Basic
mstat109 Using a Venn diagram to understand the addition rule for probability
mstat108 Outcomes and event probability: Addition rule
mstat032 Probability of the union of two events
mstat117 Probability of intersection or union: Word problems