## 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 EQUATIONSA15.1-18.4

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.

##### M8.6 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.

##### 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.