Saxon's Math Intermediate 4 can be used in place of Saxon Math 5/4.

Saxon's incremental lessons provide daily practice and assessment in a "spiral" format; mathematical concepts are taught through informative lessons, diagrams, interactive activities, and investigations that build critical thinking as well as real-world problem solving skills. Saxon Intermediate 4 includes 12 sections, 120 lessons and 12 "investigations" with 1-2 activities each.

Textbook lessons are divided into three sections. The first section is "power-up practice," which is designed to improve speed, accuracy, the ability to do mental math, and the ability to solve complicated problems. The second part of the lesson is the "New Concept," which introduces a new math concept through examples. Thirdly, the "Written Practice" section reviews previously taught concepts through 25-30 problems in each lesson. One "Investigation" per 10-lesson section is included; "Investigations" are variations of the daily lesson and often involve activities that take up an entire class.

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Lesson 1 - Review of Addition - Missing Addends, Part 1 |

Lesson 2 - Missing Addends, Part 2 |

Lesson 3 - Sequences - Digits |

Lesson 4 - Place Value |

Lesson 5 - Ordinal Numbers - Months |

Lesson 6 - Review of Subtraction - Fact Families |

Lesson 7 - Writing Numbers Through 999 |

Lesson 8 - Adding Money |

Lesson 9 - Adding with Regrouping |

Lesson 10 - Even_Odd Numbers |

Investigation 1 - Number Lines |

Lesson 11 - Addition Stories with Missing Addends |

Lesson 12 - Missing Numbers in Subtraction |

Lesson 13 - Adding Three-Digit Numbers |

Lesson 14 - Subtracting Two and Three-Digit Numbers - Missing Two-Digit Addends |

Lesson 15 - Subtracting Two-Digit Numbers with Regrouping |

Lesson 16 - Expanded Form - More Missing Numbers in Subtraction |

Lesson 17 - Adding Columns of Numbers with Regrouping |

Lesson 18 - Reading Scales |

Lesson 19 - Reading Time from a Clock |

Lesson 20 - Rounding Numbers to Nearest Ten - Rounding Money to Nearest Dollar |

Investigation 2 - Units of Length and Perimeter |

Lesson 21 - Triangles, Rectangles, Squares, and Circles |

Lesson 22 - Naming Fractions - Adding Dollars and Cents |

Lesson 23 - Lines, Segments, Rays, and Angles |

Lesson 24 - More About Missing Numbers in Addition and Subtraction |

Lesson 25 - Subtraction Stories |

Lesson 26 - Drawing Pictures of Fractions |

Lesson 27 - Multiplication as Repeated Addition - Elapsed Time |

Lesson 28 - Multiplication Table |

Lesson 29 - Multiplication Facts (0's, 1's, 2's, and 5's) |

Lesson 30 - Subtracting Three-Digit Numbers with Regrouping |

Investigation 3 - Multiplication Patterns - Area - Squares and Square Roots |

Lesson 31 - Word Problems About Comparing |

Lesson 32 - Multiplication Facts (9's) |

Lesson 33 - Writing Numbers Through Hundred Millions Part 1 |

Lesson 34 - Writing Numbers Through Hundred Millions Part 2 |

Lesson 35 - Naming Mixed Numbers - Two Forms of Money |

Lesson 36 - Fractions of a Dollar |

Lesson 37 - Reading Fractions and Mixed Numbers from a Number Line |

Lesson 38 - Multiplication Facts (Memory Group) |

Lesson 39 - Reading an Inch Scale to the Nearest Fourth |

Lesson 40 - Capacity |

Investigation 4 - Tenths and Hundredths - Fraction and Decimals |

Lesson 41 - Subtracting Across Zero - Missing Factors |

Lesson 42 - Multiplying Multiples of 10 and 100 - Rounding Numbers to the Nearest Hundred |

Lesson 43 - Adding and Subtracting Decimal Numbers, Part 1 |

Lesson 44 - Multiplying Two-Digit Numbers, Part 1 |

Lesson 45 - Parentheses - Associative Property - Naming Lines and Segments |

Lesson 46 - Division |

Lesson 47 - Other Ways to Show Division |

Lesson 48 - Multiplying Two-Digit Numbers, Part 2 |

Lesson 49 - Stories About Equal Groups, Part 1 |

Lesson 50 - Adding and Subtracting Decimal Numbers, Part 2 |

Investigation 5 - Percents |

Lesson 51 - Adding Numbers with More Than Three Digits - Checking One-Digit Division |

Lesson 52 - Subtracting Numbers with More Than Three Digits - Stories About Equal Groups, Part 2 |

Lesson 53 - One-Digit Division with a Remainder |

Lesson 54 - The Calendar - Rounding Numbers to the Nearest Thousand |

Lesson 55 - Multiples - Factors |

Lesson 56 - Using Pictures to Compare Fractions |

Lesson 57 - Rate Word Problems |

Lesson 58 - Multiplying Three-Digit Numbers |

Lesson 59 - Estimating Arithmetic Answers |

Lesson 60 - Rate Problems with a Given Total |

Investigation 6 - Displaying Data Using Graphs |

Lesson 61 - Remaining Fraction - Two-Step Equations |

Lesson 62 - Multiplying Three or More Factors - Exponents |

Lesson 63 - Polygons |

Lesson 64 - Division with Two-Digit Answers, Part 1 |

Lesson 65 - Divisor, Dividend, and Quotient - Division with Two-Digit Answers, Part 2 |

Lesson 66 - Similar and Congruent Figures |

Lesson 67 - Multiplying by Multiples of 10 |

Lesson 68 - Division with Two-Digit Answers and a Remainder |

Lesson 69 - Millimeters |

Lesson 70 - Stories About a Fraction of a Group |

Investigation 7 - Collecting Data with Surveys |

Lesson 71 - Division Answers Ending with Zero |

Lesson 72 - Finding Information to Solve Problems |

Lesson 73 - Transformations |

Lesson 74 - Fraction of a Set |

Lesson 75 - Measuring Turns |

Lesson 76 - Division with Three-Digit Answers - Dividing Money |

Lesson 77 - U.S. Customary Units of Weight - Metric Units of Mass |

Lesson 78 - Classifying Triangles |

Lesson 79 - Symmetry |

Lesson 80 - Division with Zeros in Three-Digit Answers |

Investigation 8 - Analyzing and Graphing Relationships |

Lesson 81 - Angle Measures |

Lesson 82 - Tessellations |

Lesson 83 - Sales Tax - Change Back |

Lesson 84 - Decimal Numbers to Thousandths |

Lesson 85 - Multiplying by 10, by 100, and by 1000 |

Lesson 86 - Multiplying Round Numbers Mentally |

Lesson 87 - Multiplying Two Two-Digit Numbers, Part 1 |

Lesson 88 - Remainders in Stories About Equal Groups |

Lesson 89 - Mixed Numbers and Improper Fractions |

Lesson 90 - Multiplying Two Two-Digit Numbers, Part 2 |

Investigation 9 - Investigating Fractions with Manipulatives |

Lesson 91 - Decimal Place Value |

Lesson 92 - Classifying Quadrilaterals |

Lesson 93 - Estimating Multiplication and Division Answers |

Lesson 94 - Two-Step Word Problems |

Lesson 95 - Two-Step Problems About a Fraction of a Group |

Lesson 96 - Average |

Lesson 97 - Mean - Median - Range - Mode |

Lesson 98 - Geometric Solids |

Lesson 99 - Constructing Geometric Models |

Lesson 100 - Constructing Geometric Models |

Investigation 10 - Probability |

Lesson 101 - Tables - Schedules |

Lesson 102 - Decimal Number Line - Tenths and Hundredths |

Lesson 103 - Fractions Equal to 1 - Fractions Equal to One Half |

Lesson 104 - Changing Improper Fractions to Whole or Mixed Numbers |

Lesson 105 - Dividing by 10 |

Lesson 106 - Evaluating Expressions |

Lesson 107 - Adding and Subtracting Fractions with Common Denominators |

Lesson 108 - Formulas - Distributive Property |

Lesson 109 - Equivalent Fractions |

Lesson 110 - Dividing by Multiples of 10 |

Investigation 11 - Volume |

Lesson 111 - Estimating Area |

Lesson 112 - Reducing Fractions |

Lesson 113 - Multiplying a Three-Digit Number by a Two-Digit Number |

Lesson 114 - Simplifying Fraction Answers |

Lesson 115 - Renaming Fractions |

Lesson 116 - Common Denominators |

Lesson 117 - Rounding Whole Numbers Through Hundred Millions |

Lesson 118 - Dividing by Two-Digit Numbers |

Lesson 119 - Adding and Subtracting Fractions with Different Denominators |

Lesson 120 - Adding and Subtracting Mixed Numbers with Different Denominators |

Investigation 12 - Solving Balanced Equations |