Teaching Content
Curriculum of Pre-Algebra Upgrade
The map below shows the 60 lessons that students must complete in order to finish the Pre-Algebra Upgrade course. Students begin with pre-algebra basics and move on to fractions, decimals, percents, exponents, linear functions, inequalities, graphing, geometry, statistics, and probability. Below the map is a table listing the content of each level.
Pre-Algebra Upgrade Level Content
| LevelName | LevelDescription |
| 1 Algebra Terms | Algebra Terms: variable, coefficient, constant, expression, equation |
| 2 Numbers | Numbers: natural, whole, integer, rational, irrational, real |
| 3 Integer Addition | Integer Addition: add positive and negative numbers |
| 4 Integer Multiply | Integer Multiply: multiply positive and negative numbers |
| 5 Order of Operations | Order of Operations: evaluating expressions using PEMDAS |
| 6 Multiply Variables | Multiply Variables: with a dot, parentheses, nothing in between |
| 7 Coordinate Graphs | Coordinate Graphs: plotting points, four quadrants, x and y axes |
| 8 Add Like Terms | Add Like Terms: add terms with the same variable and exponent |
| 9 Distributive Property | Distributive Property: of multiplication |
| 10 Commutative Property | Commutative Property: and Associative Property of multiplication & addition |
| 11 Reciprocal Inverse | Reciprocal Inverse: find the reciprocal of a number, undefined fractions |
| 12 Absolute Value Basics | Absolute Value Basics: evaluate absolute value expressions |
| 13 Translate Words To Algebra | Translate Words To Algebra: common English to algebra conversions |
| 14 Relations Tables Graphs | Relations Tables Graphs: identify linear, quadratic, absolute, radical, expon. |
| 15 Solve 1-Step Equations | Solve 1-Step Equations: solve for x in one operation |
| 16 Fractions Basics | Fractions Basics: proper, improper, mixed, conversion between |
| 17 Factors Multiples | Factors & Multiples: sets of factors, multiples |
| 18 Reduce Fractions | Reduce Fractions: greatest common factor, steps to reduce fractions |
| 19 Multiply Fractions | Multiply Fractions: multiply proper fractions |
| 20 Add Fractions | Add Fractions: least common denominator, steps to add fractions |
| 21 Decimal Place Value | Decimal Place Value: place value from tenths to thousandths |
| 22 Add Decimals | Add Decimals: add two decimal numbers, place the decimal in the answer |
| 23 Multiply Decimals | Multiply Decimals: count decimal digits and place the decimal in the answer |
| 24 Percent Convert | Percent Convert: convert percentages to and from fractions and decimals |
| 25 Percent Problems | Percent Problems: word problems with percentages |
| 26 Compare Fractions Decimals | Compare Fractions Decimals: compare order fractions decimals percents |
| 27 Exponents Basics | Exponents Basics: evaluating numbers with exponents |
| 28 Exponents Rules | Exponents Rules: multiply, divide, and take exponents of exponents |
| 29 Square Roots | Square Roots: square root symbol, common roots, estimating |
| 30 Scientific Notation | Scientific Notation: converting standard to scientific and calculator notation |
| 31 Ratios Proportions | Ratios & Proportions: solving word problems with ratio and proportion |
| 32 Solve Equations | Solve Equations: solve one equation one variable multiple steps |
| 33 Solve Inequalities | Solve Inequalities: solve inequalities with one variable |
| 34 Word Problems | Word Problems: using a four-step process to solve word problems |
| 35 Linear Equations | Linear Equations: graph a linear equation in standard form |
| 36 Points on a Line | Points on a Line: check whether a given point is on a line |
| 37 Slope of a Line | Slope of a Line: calculate slope from two points on a graph |
| 38 Slope Intercept | Slope Intercept: slope intercept form of a line |
| 39 Line graphs | Line graphs: linear equations y=mx + b, slope, y-intercept |
| 40 Scatterplots | Scatterplots: best fit curves, direct correlation, negative, non-linear, random |
| 41 Non-linear Graphs | Non-linear Graphs: parabola, cubic, absolute value |
| 42 Measurement | Measurement: length, weight, volume, metric units, customary units |
| 43 Conversions | Conversions: converting between units using a conversion table, ratio |
| 44 Rate | Rate: solving rate word problems, d=rt, speed, units |
| 45 Angles Lines | Angles & Lines: angles, lines, acute, obtuse, complementary, supplementary |
| 46 Triangles | Triangles: right, acute, obtuse, area, isosceles, equilateral, scalene |
| 47 Pythagorean Theorem | Pythagorean Theorem: formula, common triples, word problems |
| 48 Polygons | Polygons: types, quadrilaterals, square, rectangle, rhombus, parallelogram |
| 49 Circles | Circles: radius, diameter, circumference, area, pi |
| 50 Solid Figures | Solid Figures: rectangular solid, cube, cylinder, sphere, cone, faces, volume |
| 51 Symmetry Transforms | Symmetry & Transforms: translation, reflection, rotation, mirror line |
| 52 Mean, Median, Mode | Mean, Median, Mode: data sets, calculate mean, median, mode |
| 53 Percentiles, Box Whisker | Percentiles, Box & Whisker: quartiles, min, Q1, median, Q3, max |
| 54 Histograms, Stem Leaf | Histograms, Stem & Leaf: reading frequency charts, stem & leaf diagrams |
| 55 Probability Basics | Probability Basics: events, outcomes, success, calculate probability |
| 56 Independent Events | Independent Events: multiple events, product of probabilities |
| 57 Table Grids Tree Diagrams | Table Grids & Tree Diagrams: lists of outcomes, word problems |
| 58 Missing Irrelevant Info | Missing & Irrelevant Info: word problems with missing and irrelevant info |
| 59 Conjectures, Patterns | Conjectures, Patterns: make conjectures, solve word problems |
| 60 Final Challenge | Final Challenge: review of all levels |
| 61 Bronze Certificate | Above 75% on every level |
| 62 Silver Certificate | Above 90% on every level |
| 63 Gold Certificate | Above 95% on every level |