Teaching Content
Curriculum of Math Upgrade
The map below shows the 60 lessons that students must complete in order to finish the Math Upgrade course. Students begin with Basic Math and move up to Pre-Algebra, Measurement, Geometry, Statistics, and Probability. Below the map are tables listing the content of each level by level and by subject area.
Math Upgrade Level Content
| Level | Topic | Content & Skills |
| 1 | Numbers | Place Value: ones to millions place |
| 2 | Number Line: positive, negative, integer, whole, real | |
| 3 | Comparison: greater than, less than, equal | |
| 4 | Arithmetic | Add Facts 1-5: add 1 to 10 to the numbers 1 to 5 |
| 5 | Add Facts 6-10: add 1 to 10 to the numbers 6 to 10 | |
| 6 | Long Addition: add two multi-digit numbers, carry over | |
| 7 | Subtraction: subtract two multi-digit numbers, borrow | |
| 8 | Mult Facts 1-5: multiply the numbers 1 to 5 by 1 to 12 | |
| 9 | Mult Facts 6-10: multiply the numbers 6 to 10 by 1 to 12 | |
| 10 | Long Multiplication: multiply two multi-digit numbers | |
| 11 | Long Division: divide two multi-digit numbers | |
| 12 | Signed Add: add positive and negative numbers | |
| 13 | Signed Multiply: multiply positive and negative numbers | |
| 14 | Fractions | Fractions Basics: proper, improper, mixed, conversion between |
| 15 | Factors & Multiples: sets of factors, multiples | |
| 16 | Prime Numbers: definition, prime numbers from 1 to 47 | |
| 17 | Reduce Fractions: greatest common factor, steps to reduce fractions | |
| 18 | Multiply Fractions: multiply proper fractions | |
| 19 | Add Fractions: least common denominator, steps to add fractions | |
| 20 | Decimals | Decimal Place Value: place value from tenths to thousandths |
| 21 | Add Decimals: add two decimal numbers, place the decimal in the answer | |
| 22 | Multiply Decimals: count decimal digits and place the decimal in the answer | |
| 23 | Percents | Percent Convert: convert percentages to and from fractions and decimals |
| 24 | Percent Problems: word problems with percentages | |
| 25 | Exponents | Exponents Basics: evaluating numbers with exponents |
| 26 | Exponents Rules: multiply, divide, and take exponents of exponents | |
| 27 | Square Roots: square root symbol, common roots, estimating | |
| 28 | Scientific Notation: converting standard to scientific and calculator notation | |
| 29 | Algebra | Algebra Basics: variables, constants, coefficients, evaluating, substitution |
| 30 | PEMDAS Order of Operations: evaluating expressions using PEMDAS | |
| 31 | Simplify Expressions: using distribution, combine like terms | |
| 32 | Solve Equations: solve multi-step linear equations with one variable | |
| 33 | Ratios & Proportions: solving word problems with ratio and proportion | |
| 34 | Word Problems: using a four-step process to solve word problems | |
| 35 | Graphing | Graphs & Charts: bar graphs, pie charts, line graphs |
| 36 | Coordinate Graphs: plotting points, four quadrants, x and y axes | |
| 37 | Line graphs: linear equations y=mx + b, slope, y-intercept | |
| 38 | Scatterplots: best fit curves, direct correlation, negative, non-linear, random | |
| 39 | Non-linear Graphs: parabola, cubic, absolute value | |
| 40 | Measurement | Measurement: length, weight, volume, metric units, customary units |
| 41 | Conversions: converting between units using a conversion table, ratio | |
| 42 | Time: time conversion: seconds, minutes, hours, days, weeks, years | |
| 43 | Rate: solving rate word problems, d=rt, speed, units | |
| 44 | Geometry | Angles & Lines: angles, lines, acute, obtuse, complementary, supplementary |
| 45 | Triangles: right, acute, obtuse, area, isosceles, equilateral, scalene | |
| 46 | Pythagorean Theorem: formula, common triples, word problems | |
| 47 | Polygons: types, quadrilaterals, square, rectangle, rhombus, parallelogram | |
| 48 | Circles: radius, diameter, circumference, area, pi | |
| 49 | Solid Figures: rectangular solid, cube, cylinder, sphere, cone, faces, volume | |
| 50 | Symmetry & Transforms: translation, reflection, rotation, mirror line | |
| 51 | Statistics | Mean, Median, Mode: data sets, calculate mean, median, mode |
| 52 | Percentiles, Box & Whisker: quartiles, min, Q1, median, Q3, max | |
| 53 | Histograms, Stem & Leaf: reading frequency charts, stem & leaf diagrams | |
| 54 | Probability | Probability Basics: events, outcomes, success, calculate probability |
| 55 | Independent Events: multiple events, product of probabilities | |
| 56 | Table Grids & Tree Diagrams: lists of outcomes, word problems | |
| 57 | Reasoning | Missing & Irrelevant Info: word problems with missing and irrelevant info |
| 58 | Conjectures, Patterns: make conjectures, solve word problems | |
| 59 | Estimation & Rounding: estimate through rounding | |
| 60 | Challenge | Final Challenge: review of all levels |