Course Description

Pre-requisite: Pre-Algebra

Focusing on algebraic reasoning and geometric concepts, Saxon Math 8/7 teaches math with a spiral approach, which emphasizes incremental development of new material and continuous review of previously taught concepts.

The Saxon 8/7 textbook reviews arithmetic calculation, measurements, geometry and other skills, and introduces pre-algebra, ratios, probability and statistics. Students will specifically learn about adding/subtracting/multiplying fractions, equivalent fractions, the metric system, repeating decimals, scientific notation, Pi, graphing inequalities, multiplying algebraic terms, the Pythagorean Theorem, the slope-intercept form of linear equations, and more.

Lessons contain a warm-up (with facts practice, mental math, & problem-solving exercises); introduction to the new concept, lesson practice exercises where the new skill is practiced, and mixed practice exercises, which includes 25-30 old and new problems. In-depth “Investigations” are provided every 10 lessons and have their own set of questions. 

Course Details

Algebra 1

Eight Grade
Ninth Grade

LESSON A Operations of Arithmetic. Parentheses. Arithmetic with Whole Numbers
LESSON B Operations of Arithmetic with Money

LESSON 1 Missing Numbers in Addition, Subtraction, and Multiplication
LESSON 2 Number Line. Positive and Negative Numbers. Ordering and Comparing Numbers
LESSON 3 Adding and Subtracting on the Number Line
LESSON 4 Place Value through Hundred Trillions. Reading and Writing Whole Numbers
LESSON 5 Factors Divisibility
LESSON 6 Lines, Rays, and Segments
LESSON 7 Fractions and Mixed Numbers
LESSON 8 Adding, Subtracting, and Multiplying Fractions
LESSON 9 Some and Some More” Word Problems
LESSON 10 ” Some Went Away’ Word Problems
LESSON 11 “Larger-Smaller-Difference” Word Problems. Time Problems
LESSON 12 Equal Groups. Word Problems
LESSON 13 Part-Part-Whole Word Problems
LESSON 14 Fractions Equal to 1. Improper Fractions
LESSON 15 Equivalent Fractions
LESSON 16 Reducing Fractions, Part 1
LESSON 17 Linear Measure
LESSON 18 Pairs of Lines o Angles
LESSON 19 Polygons Contents
LESSON 20 Perimeter, Part 1
LESSON 21 Solving Equations
LESSON 22 Prime and Composite Numbers Prime Factorization
LESSON 23 Simplifying Fractions and Mixed Numbers
LESSON 24 Writing Mixed Numbers and Whole Numbers as Fractions
LESSON 25 Fraction-of-a-Group Problems
LESSON 26 Adding and Subtracting Mixed Numbers
LESSON 27 Reciprocals
LESSON 28 Reducing Fractions, Part 2
LESSON 29 Dividing Fractions
LESSON 30 Multiplying and Dividing Mixed Numbers
LESSON 31 Multiples. Least Common Multiple
LESSON 32 Two-Step Word Problems
LESSON 33 Average, Part 1
LESSON 34 Rounding Whole Numbers. Estimating Answers
LESSON 35 Common Denominators. Adding and Subtracting Fractions with Different Denominators
LESSON 36 Decimal Fractions ◦ Decimal Place Value
LESSON 37 Reading and Writing Decimal Numbers. Comparing Decimal Numbers
LESSON 38 Rounding Decimal Numbers
LESSON 39 Decimal Numbers on the Number Line
LESSON 40 Adding and Subtracting Decimal Numbers
LESSON 41 Ratio
LESSON 42 Perimeter, Part 2
LESSON 43 Graphs
LESSON 44 Proportions
LESSON 45 Multiplying Decimal Numbers
LESSON 46 Dividing a Decimal Number by a Whole Number
LESSON 47 Repeating Digits
LESSON 48 Decimals to Fractions and Fractions to Decimals
LESSON 49 Division Answers
LESSON 50 Dividing by a Decimal Number
LESSON 51 Unit Price
LESSON 52 Exponents
LESSON 53 Powers of 10
LESSON 54 Rectangular Area, Part 1
LESSON 55 Square Root
LESSON 56 Rates
LESSON 57 Percent
LESSON 58 Mixed Measures. Adding Mixed Measures
LESSON 59 Multiplying Rates
LESSON 60 Rectangular Area, Part 2
LESSON 61 Scientific Notation for Large Numbers
LESSON 62 Order of Operations
LESSON 63 Unit Multipliers. Unit Conversion
LESSON 64 Ratio Word Problems
LESSON 65 Average, Part 2
LESSON 66 Subtracting Mixed Measures
LESSON 67 Liquid Measure
LESSON 68 Scientific Notation for Small Numbers
LESSON 69 Classifying Quadrilaterals
LESSON 70 Area of a Parallelogram
LESSON 71 Fraction-Decimal-Percent Equivalents
LESSON 72 Sequences. Functions, Part 1
LESSON 73 Adding Integers on the Number Line
LESSON 74 Fractional Part of a Number and Decimal Part of a Number, Part 1
LESSON 75 Variables and Evaluation
LESSON 76 Classifying Triangles
LESSON 77 Symbols of Inclusion
LESSON 78 Adding Signed Numbers
LESSON 79 Area of a Triangle
LESSON 80 Percent of a Number
LESSON 81 Ratio Problems Involving Totals
LESSON 82 Geometric Solids
LESSON 83 Weight
LESSON 84 Circles Investigating Circumference
LESSON 85 Circumference and Pi
LESSON 86 The Opposite of the Opposite. Algebraic Addition
LESSON 87 Operations with Fractions and Decimals
LESSON 88 The Addition Rule for Equations
LESSON 89 More on Scientific Notation
LESSON 90 Multiplication Rule for Equations
LESSON 91 Volume
LESSON 92 Finding the Whole Group When a Fraction Is Known
LESSON 93 Implied Ratios
LESSON 94 Fractional Part of a Number and Decimal Part of a Number, Part 2

Syllabus for upcoming year coming soon. 

Algebra 2 – An Incremental Approach, 3rd Edition. Saxon, 2003