ELEVATED MATH COURSE
UNITS
Unit I. NUMBER BASICS M1.1 – 3.5
number sense – whole number operations – integers
Unit II. NUMBER OPERATIONS M4.1 – M7.7
fractions/decimals – exponents/powers – fuency – ratio/percent
Unit III. GEOMETRY M8.1 – 11.5
language – characteristics – visualization – transformation
Unit IV. MEASUREMENT M12.1 – 13.7
attributes/tools – perimeter/area/volume
Unit V. EXPRESSIONS & OPERATIONS A1.1-2.5
getting ready for algebra – writing/simplifying expressions
Unit VI. LINEAR EQUATIONS OF ONE VARIABLE A3.1-6.5
solving – problems – inequalities – absolute value
Unit VII. EQUATIONS AND INEQUALITIES OF TWO VARIABLES AND FUNCTIONS A7.1-10.5
solving – writing – using functions – solving systems
Unit VIII. POLYNOMIAL AND QUADRATIC EQUATIONS A11.1 – 14.3
simplifying – factoring – solving one variable – graphing
Unit IX. RATIONAL AND RADICAL EQUATIONS
A15.1-18.4
simplifying rational equations – solving rational equations – simplifying radical equations – solving radical equations
Unit X. Data Analysis, Probability, Statistics A19.1 – 20.4
analyzing data and statistics – solving problems
M1.1 M1.2 M1.3 M1.4 M1.5
The basics of numbers: order of operations, rules for division, properties of addition and multiplication, inverse operations, the distributive property, how to estimate.
M2.1 M2.2 M2.3 M2.4 M2.5
The basics of whole numbers: adding, subtracting, multiplying, dividing large umbers, and problem solving strategies.
M3.1 M3.2 M3.3 M3.4 M3.5
The basics of integers and absolute value: adding, subtracting, multiplying, dividing integers, and solving problems with integers
M4.1 M4.2 M4.3 M4.4 M4.5
Fractions, decimals, percent ratios, factorization: various experiences for fractions, decimals and percents and their relations.
M5.1 M5.2 M5.3 M5.4 M5.5 M5.6 M5.7
Decimal operations, exponents, powers: rounding, comparing, converting, ordering, adding, subtracting, multiplying, dividing decimals and fractions, scientific notation.
M6.1 M6.2 M6.3 M6.4 M6.5 M6.6
Going deeper into fractions: adding, subtracting, multiplying and dividing with like denominators, with unlike denominators, and mixed numbers.
M7.1 M7.2 M7.3 M7.4 M7.5 M7.6 M7.7
Ratio, proportion and percent: Problem solving with square roots, finding a percent/ ratio, rates and proportional reasoning, percent equations, and problem solving with percent.
M8.1 M8.2 M8.3 M8.4 M8.5
M8.6 M8.7
Points, lines, angles, and triangles: basic terms, classifications, relationships, the Pythagorean theorem.
M9.1 M9.2 M9.3 M9.4 M9.5
Shapes: classifying polygons, quadrilaterals, circles; scale drawing; inductive and deductive reasoning.
M10.1 M10.2 M10.3 M10.4 M10.5
Coordinate geometry and spatial visualization: coordinate planes, slope, three-dimensional shapes, and nets.
M11.1 M11.2 M11.3 M11.4 M11.5
Shape transformation: translations, reflections, rotations, dilations, symmetry, and tessellations.
M12.1 M12.2 M12.3 M12.4 M12.5
Measurement systems: conversions, time, distance, weight and mass.
M13.1 M13.2 M13.3 M13.4 M13.5
Perimeter, area, volume: circumference, area in a perimeter, estimating areas of irregular shapes, areas of combined shapes, and surface area and volume of three-dimensional shapes.
A1.1 A1.2 A1.3 A1.4 A1.5
Getting ready for algebra: sets and real numbers; expressions with integers, rational numbers, exponents and roots; order of operations.
A2.1 A2.2 A2.3 A2.4 A2.5
Writing and simplifying algebraic expressions: Language of algebra, turning word phrases into algebraic expressions, identifying algebraic properties, combining like terms, representing algebraic values and relations.
A3.1 A3.2 A3.3 A3.4 A3.5 A3.6
Solving linear equations of one variable: properties of equality; solving equations by inspection; one-step, two-step and multi-step linear equations; rewriting formulas.
A4.1 A4.2 A4.3 A4.4
Problem solving with one variable: translating sentences into algebraic equations; solving consumer/business problems, geometry problems, and mixture and rate problems.
A5.1 A5.2 A5.3 A5.4 A5.5 A5.6 A5.7
Solving linear inequalities with one variable: solving by inspection; one-step, two-step, multi-step linear inequalities; conjunction inequalities; disjunction inequalities; problems with inequalities of one variable.
A6.1 A6.2 A6.3 A6.4 A6.5
Solving absolute value equations and inequalities: basic/advanced absolute value equations; inequalities with “absolute value is less than and greater than;” problems with absolute value equations and inequalities.
A7.1 A7.2 A7.3 A7.4
Solving linear equations and inequalities of two variables: defining and graphing equations and inequalities; solving consumer and business problems.
A8.1 A8.2 A8.3 A8.4
Writing linear equations of two variables: finding slope; equations of lines given the slope and y-intercept and given a point and the slope or two points; when parameters are changed.
A9.1 A9.2 A9.3 A9.4 A9.5 A9.6
Using Functions: Defining relations and functions; evaluating functions; writing functions from patterns; graphing; solving problems; composite functions.
A10.1 A10.2 A10.3 A10.4 A10.5
Solving systems of linear equations and inequalities: by graphing; by elimination; by substitution; by graphing; solving money, rate, time, distance, polygon dimension, mixture, hours worked, and salary problems
A11.1 A11.2 A11.3 A11.4 A11.5 A11.6 A11.7
Simplifying algebraic expressions with polynomials: Applying Rules of Exponents; using scientific notation; adding and subtracting polynomials; multiplying monomials, binomials, polynomials; dividing polynomials by monomials and using long division.
A12.1 A12.2 A12.3 A12.4 A12.5 A12.6 A12.7
Simplifying algebraic expressions by factoring polynomials: removing the greatest common factor; factoring by grouping; factoring the difference of two squares; factoring x2 + bx + c, ax2 + bx + c; factoring using several methods; dividing polynomials using factoring.
A13.1 A13.2 A13.3 A13.4 A13.5 A13.6
Solving quadratic equations of one variable: defining; evaluating square roots; factoring; completing the square; the quadratic formula; solving problems.
A14.1 A14.2 A14.3
Graphing quadratic relations: simple quadratic relations; relations by analysis; using quadratic graphs.
A15.1 A15.2 A15.3 A15.4
Simplifying rational expressions: finding restricted values; simplifying; multiplying, dividing, adding, subtracting.
A16.1 A16.2 A16.3 A16.4
Solving rational equations: solve applied problems for work, rate and time to complete the work; uniform motion problems; physics problems.
A17.1 A17.2 A17.3 A17.4
Simplifying radical expressions: simplifying, adding, subtracting, multiplying, and dividing radicals.
A18.1 A18.2 A18.3 A18.4
Solving radical equations: one-step and multi-step radical equations; solving problems with radical equations and using distant and midpoint formulas.
A19.1 A19.2 A19.3 A19.4 A19.5
Analyzing data and statistics: finding mean, median, mode; interpreting, analyzing, describing graphs of data; finding a line of best fit; solving statistics problems.
A20.1 A20.2 A20.3 A20.4
Solving problems using probability, statistics, and discreet math: finding permutations and combinations; solving basic and advanced probability problems; solving discreet mathematics problems.