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Math Lessons

Hire math teachers with Bachelor Degrees in Mathematics from an accredited college or university to teach standards-based curriculums aimed at different levels. Find Math Lessons WFH freelancers on November 20, 2024 who work remotely. Read less

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What do elementary math teachers cover on HostJane?

Parents and guardians can hire teachers on HostJane for their school-aged students. We connect students with online math tutors who can teach the exact skills you need to improve grades and fully understand math concepts. As a quick guide, we expect math lessons by grade level to cover these areas: https://www.ixl.com/math

Pre-Kindergarden: Learning to identify and count numbers up to 10; counting money including nickels, dimes and quarters; identifying positions like left, middle and right; adding and subtracting numbers up to 10;

Levels of Math Classes in Elementary

Kindergarten: Comparing, adding and subtracting numbers up to 20; skip-counting; mixed operations; fractions, sorting, ordering and classifying; probability; measurement, two- and three-dimensional shapes including cones, spheres, cylinders, hexagons, trianlges, squares, rectangles and introducing symmetry

Grade 1: Understanding adding and subtracting, introduction to venn diagrams; place values, spatial sense; introducting halves, thirds, fourths in fractions, days of the week, calendars, analog and digital clocks

Grade 2: Place-value models, subtraction with two- and three-digits, data and graphs, units of measurement, addition and subtraction properties, multiplication and division, logical reasoning

Grade 3: Roman numerals, even and odd numbers, inequalities, multiplying and dividing fluently up to 12, times tables, equivalent fractions and comparing fractions, operations with fractions, estimation and rounding, triangles and quadrilaterals, data graphs and probability

Grade 4: Number sense, statistics (mean, mode, median, range), angles, fraction equivalence and ordering, geometric measurement, financial literacy (profit, fixed and variable expenses), adding and subtracting fractions with denominators, more advanced multiplication and division with word problems, quotients, distributive property

Grade 5: Dividing decimals, box and lattic multiplication, multiplying numbers ending in zeroes, symmetry and transformations, financial literacy (income, payroll, taxes, keeping a budget, gross and net concepts), multi-step word problems, converting percents, fractions and decimals, problem solving

What should middle school math lessons cover?

Middle school math classes are available with parental supervision on HostJane, covering these areas:

Grade 6: Whole numbers, multiplication, divisibility rules, exponents, number theory (standard and scientific notation, primes, prime factorization, Greatest Common Factor, Least Common Multiple), adding and subtracting decimals, consumer math (sale prices and simple interest), expressions and properties, variable expressions and coefficients, equivalent expressions; ratios and rates; integers, coordinate planes, geometric measurement (rhombuses and trapezoids, perimeter, area of rectangles and squares, parallelograms, pyramids, volumes of cubes and prisms): Pictograms, line plots, three-dimensional figures like polyhedra; identifying complementary, supplementary, vertical, adjacent, and congruent angles

Grade 7: Factorials; integers and number lines; absolute value and opposite integers; powers of ten, negative bases, exponents and square roots, perfect squares; number sequences; variable expressions with two or three operations; algebra tiles, linear expressions; two-variable equations, one-variable inequalities; one-variable equations; linear functions, graph a line using slope; area of compound figures, surface area of cylinders; scaled drawings; transformation and congruence (reflections, rotations, and translations); pythagorean theorem; stem-and-leaf plots, box plots; independent and dependent events in probability;

Grade 8: Square roots and cube roots; operations with rational and irrational numbers; proportional relationships; consumer math - discounts and compound interest; conversions between celsius and fahrenheit; transformations and similarity, dilations; combinations, permutations and factorials in probability; mutually exclusive and overlapping events, two-way frequency tables; Box and whisker plots, histograms, scatter plots, line of best fit, correlation, two-way tables; functions (domain and range, relations and independent/dependent variables); linear equations - slope-intercept form, equations of parallel and perpendicular lines

What does Algebra 1 cover?

The first course high school student take in Algebra 1 tends to cover:

Numbers: Comparing and ordering rational numbers, absolute value and opposites, number lines, converting between repeating decimals and fractions; square and cube roots; operations on rational and irrational numbers

Operations: Evaluating variable expressions involving integers to multiplying and dividing rational numbers; equivalent ratios; unit rates and prices to word problems with proportions and scale drawings

Percents: From converting between percents, fractions, and decimals to multi-step word problems with tax, discounts and percents

Measurements: Converting rates and measurements from metric units to greatest possible error, finding the minimum and maximum area and volume, dealing with percent errors

Geometry: Understanding area and perimete in word problems; measuring side lengths and angle measures in triangles and changes in scale; Pythagorean theorem: word problems and converse of the Pythagorean theorem for assessing right triangles; coordinate planes; midpoint formula: find the midpoint and distance between two points

Properties: From distributive property to simplifying variable expressions using properties; learning how to write variable equations; checking if x or (x,y) satisfies an equation?; solving equations using order of operations; relating the graph of an equation to its solutions and rearranging multi-variable equations

Linear equations: Model and solve linear equations using algebra tiles, one-step and two-step linear equations with variables on both sides; Single-variable linear inequalities; Graph inequalities; solving one-step and two-step linear inequalities; Absolute value equations and inequalities

Matrices: Matrix operation rules, adding and subtracting matrices; Multiply a matrix by a scalar; Add and subtract scalar multiples of matrices; Multiply two matrices and learning about different properties of matrices

Sets: Learning about sets, subsets, and complements, unions and intersections; set-builder notation; interval notation

Data and graphs; Interpreting line plots, histograms to box plots

Problem solving: Word problems with money to consecutive integer problems, rate of travel and weighted averages in word problems

Number sequences: Arithmetic and geometric sequences to recursive formulas and converting to explicit formulas;

Relations and functions: Converting between tables, graphs, mappings, and lists of points to domain and range of relations to plugging in an expression, multiplying functions; find the inverse of a function; approximate solutions using a table; piecewise-defined functions to inverse variation equations;

Linear functions: Linear functions from tables to finding the slope of a graph; missing coordinate using slope; find the slope and y-intercept and other slope-intercept form issues like graph an equation and writing an equation from a graph; solve for y; two-variable linear equations; comparing linear functions: graphs and equations; writing equations in standard form; find x- and y-intercepts; Point-slope forms; writing an equation for a parallel or perpendicular line; Transformations of linear functions

Linear inequalities: Does (x, y) satisfy the inequality; linear inequalities: solve for y; graphing a two-variable linear inequality to two-variable inequalities in word problems and understanding if (x, y) is a solution to the system of linear inequalities; solve a system of equations by graphing and using substitution, elimination, augmented matrices

Exponents: Exponents with integer bases; decimal and fractional bases; negative exponents; Multiplication and division with exponents; learning the Power rule; evaluating expressions using properties of exponents; integers raised to positive rational exponents; Multiplication and division with rational exponents; understanding the Power rule with rational exponents and simplifying expressions involving rational exponents

Scientific notation: converting between standard and scientific notation to domain and range of exponential functions; exponential growth and decay involving word problems and compound interest

Monomials and Polynomials: Adding and subtracting polynomials to multiplying two binomials using algebra tiles; factoring issues with polynomials: GCF of monomials; factor out a monomial; factoring quadratics using algebra tiles and leading coefficients; factor by grouping and using a quadratic pattern factoring polynomials

Quadratic equations and quadratic functions; graphing quadratic functions in vertex form and using square roots; solve a quadratic equation using the zero product property; completing the square; Solve a quadratic equation using the quadratic formula; using the discriminant; Domain and range of quadratic functions: graphs; solve a system of linear and quadratic equations

Functions: linear, quadratic, exponential; absolute value and function families; Transformations of absolute value functions: translations, reflections, and dilations

Radical expressions: Simplifying radical expressions involving fractions and using the distributive property to using conjugates to simplify radical expressions

Radical functions and equations: Evaluating square root functions and solving radical equation; Multiply and divide rational expressions; Divide polynomials by monomials; Divide polynomials using long division; solve rational equations

Trigonometry: Trigonometric ratios: sin, cos, and tan; Find trigonometric ratios using a calculator, and inverses of trigonometric functions; trigonometric ratios: find a side length to find an angle measure; solving a right triangle

Logic and Probability: Identify hypotheses and conclusions; Theoretical probability; Experimental probability; conditional probabilities using two-way frequency tables; outcomes of compound events; probability of independent and dependent events and counting principle; permutations and combination notation

Statistics: Identify biased samples; Mean, median, mode, and range; quartiles and interquartile range; outliers and describing the effect of removing an outlier on data set; mean absolute deviation; variance and standard deviation; interpreting a scatter plot; matching correlation coefficients to scatter plots, regression lines; analyze a regression line of a data set; understanding correlation and causation and comparing data sets

In high school, what completely new areas does Algebra 2 cover?

That would be:

Logarithms: Converting between exponential and logarithmic form and rational bases; natural exponential and logarithmic form; changing of base formula; identifying quotient property of logarithms; power property of logarithms

Parabolas: Identify the direction a parabola opens; finding the vertex of a parabola to the focus or directrix of a parabola; find the axis of symmetry of a parabola; writing equations of parabolas in vertex form using properties; graphing parabolas

Circles: Find the center of a circle; radius or diameter of a circle; graphing circles; writing equations of circles in standard form using properties

Ellipses: Find the center, vertices, or co-vertices of an ellipse; major or minor axes of an ellipse; foci of an ellipse; finding properties of ellipses from equations in general form

Trigonometric ratios: sin, cos, and tan; csc, sec, and cot; radians; finding a side length; Law of Sines; Law of Cosines; Finding area of a triangle: sine formula

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