ALEKS - Assessment and Learning
   

B.63 Prep. for SC HSAP Mathematics

 

Arithmetic Readiness
arith123 Rounding to hundreds or thousands
arith233 Introduction to exponents
arith692 Writing expressions using exponents
arith683 Power of 10: Positive exponent
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
alge731 Evaluating an algebraic expression: Whole numbers with two operations
arith658 Filling in missing operations to make an equation
arith056 Factors
arith034 Prime numbers
arith035 Prime factorization
arith033 Greatest common factor of 2 numbers
arith070 Least common multiple of 2 numbers
arith212 Equivalent fractions
arith067 Simplifying a fraction
arith092 Using a common denominator to order fractions
arith618 Addition or subtraction of fractions with the same denominator
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
arith079 Product of a unit fraction and a whole number
arith086 Product of a fraction and a whole number: Problem type 1
arith119 Introduction to fraction multiplication
arith053 Fraction multiplication
arith088 The reciprocal of a number
arith694 Division involving a whole number and a fraction
arith022 Fraction division
arith697 Mixed arithmetic operations with fractions
arith015 Writing an improper fraction as a mixed number
arith619 Writing a mixed number as an improper fraction
arith084 Addition of mixed numbers with the same denominator and carry
arith216 Subtraction of mixed numbers with the same denominator and borrowing
arith020 Mixed number multiplication: Problem type 1
arith068 Mixed number division
arith110 Decimal place value: Tenths and hundredths
arith220 Decimal place value: Hundreds to ten thousandths
arith221 Rounding decimals
arith608 Ordering decimals
arith609 Ordering fractions and decimals
arith087 Converting a decimal to a proper fraction in simplest form: Advanced
arith222 Converting a fraction to a terminating decimal
arith089 Converting a fraction to a repeating decimal
arith013 Decimal addition with 3 numbers
arith625 Subtraction of aligned decimals
arith626 Word problem with one decimal operation: Problem type 1
arith627 Word problem with one decimal operation: Problem type 2
arith017 Multiplication of a decimal by a whole number
arith082 Multiplication of a decimal by a power of ten
arith055 Decimal multiplication: Problem type 1
arith081 Division of a decimal by a whole number
arith083 Division of a decimal by a power of ten
mstat034 Measuring length to the nearest quarter or half inch
mstat035 Conversions involving measurements in feet and inches
mstat036 Adding measurements in feet and inches
unit005 U.S. Customary unit conversion with whole number values
unit006 U.S. Customary unit conversion with whole number values: Two-step conversion
unit009 U.S. Customary area unit conversion with whole number values
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
unit010 Metric area unit conversion with decimal values
unit034 Converting between metric and U.S. Customary unit systems
unit035 Converting between compound units: Basic
unit036 Converting between compound units: Advanced
mstat065 Converting between temperatures in Fahrenheit and Celsius
Real Numbers
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith699 Writing a signed number for a real-world situation
mstat038 Reading the temperature from a thermometer
alge286 Plotting integers on a number line
arith691 Ordering integers
arith687 Fractional position on a number line
arith605 Plotting rational numbers on a number line
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
arith701 Word problem with addition or subtraction of integers
arith116 Signed fraction addition or subtraction: Basic
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
arith822 Signed fraction multiplication: Basic
arith118 Order of operations with integers
arith702 Exponents and integers: Problem type 1
arith703 Exponents and integers: Problem type 2
arith704 Exponents and signed fractions
arith600 Order of operations with integers and exponents
alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction
alge004 Evaluating a quadratic expression: Integers
arith071 Absolute value of a number
arith104 Operations with absolute value: Problem type 2
alge187 Properties of addition
alge188 Properties of real numbers
arith657 Understanding the distributive property
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge700 Combining like terms: Whole number coefficients
alge607 Combining like terms: Integer coefficients
alge663 Combining like terms: Advanced
alge293 Combining like terms in a quadratic expression
Linear Equations and Inequalities
alge009 Additive property of equality with whole numbers
alge800 Additive property of equality with decimals
alge010 Additive property of equality with integers
alge266 Additive property of equality with a negative coefficient
alge008 Multiplicative property of equality with whole numbers
alge820 Multiplicative property of equality with fractions
alge825 Multiplicative property of equality with decimals
alge740 Multiplicative property of equality with integers
alge012 Multiplicative property of equality with signed fractions
alge803 Using two steps to solve an equation with whole numbers
alge006 Solving a two-step equation with integers
alge208 Solving a two-step equation with signed fractions
alge824 Solving a two-step equation with signed decimals
alge200 Solving an equation to find the value of an expression
alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients
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
alge179 Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators
alge742 Solving equations with zero, one, or infinitely many solutions
alge810 Introduction to algebraic symbol manipulation
alge743 Algebraic symbol manipulation: Problem type 1
alge744 Algebraic symbol manipulation: Problem type 2
alge733 Writing a one-step expression for a real-world situation
alge602 Writing a one-step variable expression for a real-world situation
alge291 Translating a phrase into a two-step expression
alge016 Translating a sentence into a one-step equation
alge730 Writing a multi-step equation for a real-world situation
alge802 Solving a fraction word problem using a linear equation of the form Ax = B
alge014 Solving a word problem with two unknowns using a linear equation
alge219 Solving a decimal word problem using a linear equation with the variable on both sides
alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C
alge704 Solving a fraction word problem using a linear equation with the variable on both sides
alge794 Solving a value mixture problem using a linear equation
alge795 Solving a percent mixture problem using a linear equation
arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers
alge823 Solving a one-step word problem using the formula d = rt
alge218 Solving a word problem involving rates and time conversion
alge796 Solving a distance, rate, time problem using a linear equation
arith663 Writing ratios for real-world situations
alge272 Solving a proportion of the form x/a = b/c
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
arith226 Converting between percentages and decimals
arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50
arith090 Converting a percentage to a fraction in simplest form
arith069 Writing a ratio as a percentage without a calculator
mstat049 Computing a percentage from a table of values
arith030 Finding a percentage of a whole number without a calculator: Basic
arith698 Applying the percent equation
arith074 Finding the sale price without a calculator given the original price and percent discount
arith031 Finding the original price given the sale price and percent discount
arith225 Finding the percentage increase or decrease: Advanced
arith232 Finding simple interest without a calculator
alge015 Translating a sentence by using an inequality symbol
alge017 Graphing a linear inequality on the number line
alge822 Writing an inequality given a graph on the number line
alge186 Translating a sentence into a compound inequality
alge166 Graphing a compound inequality on the number line
alge019 Solving a linear inequality: Problem type 1
alge020 Solving a linear inequality: Problem type 2
alge021 Solving a linear inequality: Problem type 3
alge207 Solving a linear inequality: Problem type 4
alge745 Solving a linear inequality: Problem type 5
alge746 Solving a compound linear inequality: Graph solution, basic
alge748 Writing an inequality for a real-world situation
alge749 Solving a decimal word problem using a two-step linear inequality
alge750 Solving a decimal word problem using a linear inequality with the variable on both sides
alge270 Solving an absolute value equation of the form a|x| = b or |x|+a = b
alge103 Solving an absolute value equation of the form |ax+b| = c
alge170 Solving an absolute value inequality: Basic
Lines and Systems of Linear Equations
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge850 Table for a linear equation
alge066 Finding a solution to a linear equation in two variables
alge216 Determining whether given points lie on one, both, or neither of 2 lines given equations
alge197 Graphing a line given its x- and y-intercepts
alge194 Graphing a line given its equation in slope-intercept form
alge195 Graphing a line given its equation in standard form
alge196 Graphing a line through a given point with a given slope
alge198 Graphing a vertical or horizontal line
alge069 Finding the y-intercept of a line given its equation
alge210 Finding x- and y-intercepts of a line given the equation: Advanced
alge684 Finding slope given the graph of a line on a grid
alge685 Finding slope given two points on the line
alge631 Finding the slope of a line given its equation
alge070 Writing an equation of a line given the y-intercept and another point
alge071 Writing the equation of a line given the slope and a point on the line
alge072 Writing the equation of the line through two given points
alge073 Writing the equations of vertical and horizontal lines through a given point
alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced
alge805 Application problem with a linear function: Finding a coordinate given the slope and a point
alge806 Application problem with a linear function: Finding a coordinate given two points
geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C
geom808 Writing equations of lines parallel and perpendicular to a given line through a point
mstat030 Sketching the line of best fit
mstat023 Scatter plots and correlation
alge720 Graphing a linear inequality in the plane: Slope-intercept form
alge018 Graphing a linear inequality in the plane: Standard form
alge225 Graphing a linear inequality in the plane: Vertical or horizontal line
alge075 Classifying systems of linear equations from graphs
alge725 Graphically solving a system of linear equations
alge751 Solving a system of linear equations using substitution
alge076 Solving a system of linear equations using elimination with multiplication and addition
alge752 Solving a 2x2 system of linear equations that is inconsistent or consistent dependent
alge753 Solving a 3x3 system of linear equations: Problem type 1
alge263 Interpreting the graphs of two functions
alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations
alge184 Solving a value mixture problem using a system of linear equations
alge224 Solving a distance, rate, time problem using a system of linear equations
alge192 Solving a percent mixture problem using a system of linear equations
alge172 Solving a tax rate or interest rate problem using a system of linear equations
alge793 Solving a word problem using a 3x3 system of linear equations: Problem type 1
alge079 Graphing a system of two linear inequalities: Basic
pcalc037 Scalar multiplication of a matrix
pcalc038 Addition or subtraction of matrices
pcalc740 Linear combination of matrices
Exponents, Polynomials, and Quadratics
alge790 Evaluating expressions with exponents of zero
arith684 Power of 10: Negative exponent
arith042 Evaluating an expression with a negative exponent: Positive fraction base
arith043 Evaluating an expression with a negative exponent: Negative integer base
alge791 Rewriting an algebraic expression without a negative exponent
alge821 Understanding the product rule of exponents
alge024 Introduction to the product rule of exponents
alge030 Product rule with positive exponents: Multivariate
alge028 Product rule with negative exponents
alge827 Introduction to the quotient rule of exponents
alge026 Quotient of expressions involving exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge826 Understanding the power rules of exponents
alge754 Introduction to the power rules of exponents
alge027 Power rules with positive exponents
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative exponents
alge756 Power and product rules with positive exponents
arith029 Ordering numbers with positive exponents
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot002 Multiplying and dividing numbers written in scientific notation
alge758 Degree and leading coefficient of a univariate polynomial
alge798 Simplifying a sum or difference of two univariate polynomials
alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient
alge835 Multiplying a multivariate polynomial by a monomial
alge033 Multiplying binomials with leading coefficients of 1
alge764 Multiplying conjugate binomials: Univariate
alge765 Multiplying binomials in two variables
alge032 Squaring a binomial: Univariate
alge180 Multiplication involving binomials and trinomials in two variables
alge759 Dividing a polynomial by a monomial: Univariate
alge760 Dividing a polynomial by a monomial: Multivariate
alge761 Polynomial long division: Problem type 1
alge762 Polynomial long division: Problem type 2
alge736 Introduction to the GCF of two monomials
alge037 Greatest common factor of two multivariate monomials
alge738 Factoring out a monomial from a polynomial: Univariate
alge739 Factoring out a monomial from a polynomial: Multivariate
alge039 Factoring a quadratic with leading coefficient 1
alge043 Factoring a perfect square trinomial
alge040 Factoring a quadratic with leading coefficient greater than 1
alge265 Factoring a quadratic in two variables with leading coefficient greater than 1
alge041 Factoring a product of a quadratic trinomial and a monomial
alge624 Factoring a difference of squares
alge038 Factoring a polynomial by grouping: Problem type 1
alge181 Factoring a polynomial by grouping: Problem type 2
alge681 Solving an equation written in factored form
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
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge227 Solving a quadratic equation using the square root property: Exact answers, advanced
alge094 Completing the square
alge780 Solving a quadratic equation by completing the square: Exact answers
alge095 Applying the quadratic formula: Exact answers
alge214 Discriminant of a quadratic equation
alge703 Solving a word problem using a quadratic equation with rational roots
alge524 Solving a word problem using a quadratic equation with irrational roots
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
alge252 Graphing a parabola of the form y = ax2
alge253 Graphing a parabola of the form y = (x-h)2 + k
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
alge702 Classifying the graph of a function
alge723 How the leading coefficient affects the shape of a parabola
Functions and Sequences
set004 Set builder and interval notation
fun001 Table for a linear function
pcalc760 Evaluating functions: Linear and quadratic or cubic
fun033 Variable expressions as inputs of functions: Problem type 1
fun032 Identifying functions from relations
fun010 Vertical line test
fun016 Domain and range from ordered pairs
fun005 Writing a function rule given a table of ordered pairs: One-step rules
fun006 Writing a function rule given a table of ordered pairs: Two-step rules
mstat052 Identifying independent and dependent variables from equations or real-world situations
pcalc768 Finding the average rate of change of a function
fun019 Sum, difference, and product of two functions
fun022 Composition of two functions: Basic
fun002 Graphing integer functions
pcalc761 Finding inputs and outputs of a function from its graph
pcalc750 Finding intercepts of a nonlinear function given its graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
fun024 Domain and range from the graph of a continuous function
pcalc114 Even and odd functions: Problem type 1
alge185 Writing an equation for a function after a vertical translation
fun020 Writing an equation for a function after a vertical and horizontal translation
pcalc769 Translating the graph of a function: One step
pcalc770 Translating the graph of a function: Two steps
pcalc771 Transforming the graph of a function by reflecting over an axis
pcalc772 Transforming the graph of a function by shrinking or stretching
alge262 Graphing a cubic function of the form y = ax3
alge168 Graphing an absolute value equation in the plane: Advanced
alge712 Graphing an exponential function and its asymptote: f(x) = a(b)x
mstat051 Choosing a graph to fit a narrative: Advanced
alge807 Finding the next terms of a sequence with whole numbers
alge732 Finding patterns in shapes
pcalc080 Finding the first terms of a sequence using an explicit rule with multiple occurrences of n
pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term
pcalc086 Finding a specified term of a geometric sequence given the common ratio and first term
pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
Radical Expressions
alge213 Domain of a square root function
pcalc781 Graphing a square root function
arith016 Square root of a perfect square
arith602 Estimating a square root
arith601 Square root of a rational perfect square
arith094 Cube root of an integer
arith093 Simplifying the square root of a whole number less than 100
alge264 Square root of a perfect square monomial
alge080 Simplifying a radical expression with an even exponent
alge275 Simplifying a radical expression with two variables
arith032 Square root addition or subtraction
arith039 Square root multiplication: Advanced
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge086 Rationalizing the denominator of a radical expression
alge088 Rationalizing the denominator of a radical expression using conjugates
alge812 Converting between radical form and exponent form
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge773 Rational exponents: Products and quotients with negative exponents
alge249 Rational exponents: Powers of powers with negative exponents
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge091 Solving a radical equation that simplifies to a quadratic equation: One radical
alge182 Solving a radical equation that simplifies to a quadratic equation: Two radicals
Rational Expressions
alge715 Domain of a rational function: Excluded values
alge710 Simplifying a ratio of polynomials: Problem type 1
alge682 Simplifying a ratio of polynomials: Problem type 2
alge053 Multiplying rational expressions involving multivariate monomials
alge620 Multiplying rational expressions involving quadratics with leading coefficients of 1
alge054 Dividing rational expressions involving multivariate monomials
alge766 Dividing rational expressions involving quadratics with leading coefficients of 1
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge056 Adding rational expressions with common denominators and binomial numerators
alge057 Adding rational expressions with different denominators: ax, bx
alge226 Adding rational expressions with multivariate monomial denominators: Advanced
alge622 Adding rational expressions with different denominators: x+a, x+b
alge661 Adding rational expressions involving different quadratic denominators
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge058 Complex fraction involving multivariate monomials
alge767 Complex fraction: GCF and quadratic factoring
alge768 Complex fraction made of sums involving rational expressions
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge220 Word problem on inverse proportions
pcalc681 Writing an equation that models variation
alge175 Word problem on direct variation
alge176 Word problem on inverse variation
alge772 Word problem on combined variation
pcalc789 Finding the asymptotes of a rational function: Basic
pcalc108 Graphing a rational function: Constant or linear over linear
Perimeter, Area, and Volume
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
geom221 Finding the missing length in a figure
geom353 Perimeter of a piecewise rectangular 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
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
geom142 Word problem involving the area between two rectangles
geom217 Finding the side length of a rectangle given its perimeter or area
geom143 Finding the perimeter or area of a rectangle given one of these values
geom801 Area of a triangle
geom022 Area of a parallelogram
geom023 Area of a trapezoid
geom344 Area involving rectangles and triangles
geom213 Area of a regular polygon
geom832 Area of quadrilaterals in the coordinate plane
alge724 Finding an area in terms of variables
geom016 Circumference of a circle
geom218 Finding the radius or the diameter of a circle given its circumference
geom301 Perimeter involving rectangles and circles
geom838 Circumference ratios
geom802 Circumference and area of a circle
geom302 Area involving rectangles and circles
geom036 Word problem involving the area between two concentric circles
geom214 Area involving inscribed figures
geom805 Arc length and area of a sector of a circle
geom830 Counting the cubes in a solid made of cubes
geom354 Volume of a rectangular prism made of unit cubes
geom311 Volume of a rectangular prism
geom505 Volume of a piecewise rectangular prism
geom090 Volume of a triangular prism
geom033 Volume of a pyramid
geom035 Volume of a cylinder
geom092 Word problem involving the rate of filling or emptying a cylinder
geom086 Volume of a cone: Exact answers in terms of pi
geom841 Volume of a sphere
geom219 Nets of solids
geom861 Nets of solids: Advanced
geom348 Vertices, edges, and faces of a solid
geom816 Side views of a solid made of cubes
geom031 Surface area of a cube or a rectangular prism
geom091 Surface area of a triangular prism
geom034 Surface area of a cylinder: Exact answers in terms of pi
geom842 Surface area of a sphere
geom345 Surface area of a piecewise rectangular prism made of unit cubes
geom338 Surface area involving prisms or cylinders
Lines, Angles, and Triangles
mstat042 Interpreting a Venn diagram of 2 sets
mstat043 Interpreting a Venn diagram of 3 sets
glogic001 Conditional statements and negations
glogic005 The converse, inverse, and contrapositive of a conditional statement
glogic008 Conditional statements and deductive reasoning
geom349 Naming segments, rays, and lines
geom525 Computing distances between decimals on the number line
geom526 Midpoint of a number line segment
geom521 Segment addition and midpoints
geom616 Introduction to proofs: Justifying statements
geom614 Proofs involving segment congruence
geom358 Identifying parallel and perpendicular lines
geom835 Introduction to proofs involving parallel lines
geom836 Proofs involving parallel lines
geom154 Constructing the perpendicular bisector of a line segment
geom150 Constructing a pair of perpendicular lines
geom157 Constructing a pair of parallel lines
geom151 Measuring an angle with the protractor
geom152 Drawing an angle with the protractor
geom303 Acute, obtuse, and right angles
geom039 Finding supplementary and complementary angles
geom304 Identifying corresponding and alternate angles
geom305 Identifying supplementary and vertical angles
geom530 Solving equations involving vertical angles
geom531 Solving equations involving angles and a pair of parallel lines
geom850 Angle addition with relationships between angles
geom851 Angle addition and angle bisectors
geom611 Proofs involving angle congruence
geom159 Constructing congruent angles
geom158 Constructing an angle bisector
geom306 Acute, obtuse, and right triangles
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
geom001 Finding an angle measure of a triangle given two angles
geom812 Finding an angle measure given extended triangles
geom813 Finding an angle measure given a triangle and parallel lines
geom908 Finding an angle measure for a triangle with an extended side
geom309 Finding an angle measure for a triangle sharing a side with another triangle
geom502 Finding angle measures of a right or isosceles triangle given angles with variables
geom844 Using triangle inequality to determine if side lengths form a triangle
geom845 Using triangle inequality to determine possible lengths of a third side
geom854 Relationship between angle measures and side lengths in a triangle
geom855 Relationship between angle measures and side lengths in two triangles
geom044 Pythagorean Theorem
geom068 Computing an area using the Pythagorean Theorem
geom862 Using the Pythagorean Theorem repeatedly
geom506 Special right triangles: Exact answers
geom212 Circles inscribed in and circumscribed about regular polygons
geom520 Identifying and naming congruent triangles
geom617 Proofs involving congruent triangles and vertical angles or the reflexive property
geom837 Proofs involving congruent triangles and segment or angle bisectors
geom840 Proofs involving congruent triangles that overlap: Basic
geom839 Proofs involving congruent triangles, parallel or perpendicular segments, and CPCTC
geom843 Proofs involving congruent triangles that overlap: Advanced
geom650 Indirect proof (proof by contradiction)
pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths
pcalc606 Using the Pythagorean Theorem to find a trigonometric ratio
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
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
pcalc033 Solving a triangle with the law of cosines
pcalc060 Magnitude of a vector given in component form
pcalc063 Translation of a vector
geom858 Scalar multiplication of a vector: Geometric Approach
geom857 Vector addition: Geometric approach
geom856 Vector addition and scalar multiplication: Component form
vector008 Linear combination of vectors: Component form
vector002 Finding the magnitude and direction of a vector given its graph
vector005 Finding the components of a vector given its graph
Polygons, Circles, and Similarity
alge191 Midpoint of a line segment in the plane
alge132 Distance between two points in the plane: Exact answers
geom310 Properties of quadrilaterals
geom523 Conditions for quadrilaterals
geom532 Classifying parallelograms
geom528 Finding measures involving diagonals of parallelograms
geom527 Conditions for parallelograms
geom833 Finding measures involving diagonals of rectangles
geom834 Finding measures involving diagonals of rhombi
geom870 Sum of the angle measures of a quadrilateral
geom852 The sum of interior angle measures in a convex polygon
geom853 Interior and exterior angle measures in a regular polygon
geom819 Finding coordinates of vertices of polygons
geom818 Finding the coordinates of a point to make a parallelogram
geom863 Congruence in the coordinate plane
geom347 Introduction to a circle: Diameter, radius, and chord
geom343 Identifying central angles, inscribed angles, arcs, chords, and tangents of a circle
geom848 Tangents of a circle: Problem type 1
geom849 Tangents of a circle: Problem type 2
geom511 Lengths of chords, secants, and tangents
geom514 Inscribed angles of a circle
geom512 Central angles and inscribed angles of a circle
geom513 Angles of intersecting secants and tangents
pcalc605 Graphing a circle given its equation in standard form
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
geom359 Identifying congruent shapes on a grid
geom360 Identifying similar or congruent shapes on a grid
geom037 Similar polygons
geom038 Similar right triangles
geom337 Indirect measurement
geom510 Triangles and parallel lines
geom507 Right triangles and geometric mean
geom846 Computing ratios of side lengths, surface areas, and volumes for similar solids
geom847 Similar solids: Problem type 2
geom357 Identifying transformations
geom330 Translating a polygon
geom331 Using a translated point to find coordinates of other translated points
geom332 Reflecting a polygon over a vertical or horizontal line
geom333 Finding the coordinates of three points reflected over an axis
geom334 Drawing lines of symmetry
geom335 Rotating a figure about the origin
geom815 Finding an angle of rotation
geom831 Rotational and point symmetries
geom336 Dilating a figure
Statistics and Probability
mstat004 Constructing a histogram for numerical data
mstat005 Constructing a bar graph for non-numerical data
mstat024 Interpreting a bar graph
mstat044 Interpreting a double bar graph
mstat007 Interpreting a line graph
stat804 Interpreting a circle graph or pie chart
stat801 Computations from a circle graph
mstat006 Constructing a box-and-whisker plot
mstat031 Interpreting a stem-and-leaf plot
mstat027 Using back-to-back stem-and-leaf plots to compare data sets
geom814 Angle measure in a circle graph
mstat003 Mode of a data set
mstat055 Finding the mode and range of a data set
mstat001 Mean of a data set
mstat028 Mean and median of a data set
stat803 Finding the value for a new score that will yield a given mean
mstat029 How changing a value affects the mean and median
mstat053 Choosing the best measure to describe data
mstat066 Weighted mean
mstat025 Finding if a question can be answered by the data
stat802 Rejecting unreasonable claims based on average statistics
stat805 Making a reasonable inference based on proportion statistics
stat021 Population standard deviation
mstat041 Interpreting a tree diagram
mstat040 Introduction to the counting principle
mstat015 Counting principle
mstat008 Word problem involving permutations
mstat009 Word problem involving combinations
stat790 Permutations, combinations, and the multiplication principle for counting
mstat026 Introduction to the probability of an event
mstat010 Probability of an event
mstat048 Odds of an event
stat106 Outcomes and event probability
stat112 Probabilities involving two dice
mstat011 Area as probability
mstat046 Experimental and theoretical probability
mstat047 Introduction to expectation
mstat012 Probability of independent events
mstat013 Probability of dependent events
mstat032 Probability of the union of two events