Saxon Math 6/5 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments. Each of the 120 daily lessons includes warm-up activities, teaching of the new concept, and practice of new and previous material. In Saxon 6/5, the student will work on place value, multiplication up to 3 digits, decimals, mixed numbers, fractions, quadrilaterals, averages, geometry, and so on. Learning Materials: Main Curriculum: Saxon Math 6/5 Solutions Manual Saxon Math 6/5, 3rd Edition Saxon Math Homeschool 6/5: Tests and Worksheets Learning Goals/Performance Objectives: 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them 5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators 5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. 5.NF.3 Interpret a fraction as division of the numerator by the denominator Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. 5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. 5.NF.5 Interpret multiplication as scaling (resizing), by: 5.NF.6 Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. 5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. 5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. 5.NBT.3 Read, write, and compare decimals to thousandths. 5.NBT.4 Use place value understanding to round decimals to any place. Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. 5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. 5.MD.2 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. 5.MD.3 Recognize volume as an attribute of solid figures and understand concepts of volume measurement. 5.MD.5 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. 5.G.3 Understand that attributes belonging to a category of two- dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. 6.RP.A Understand ratio concepts and use ratio reasoning to solve problems. 6.NS.A Apply and extend previous understandings of multiplication and division to divide fractions by fractions. 6.NS.B Compute fluently with multi-digit numbers and find common factors and multiples. 6.NS.C Apply and extend previous understandings of numbers to the system of rational numbers. 6.EE.C Represent and analyze quantitative relationships between dependent and independent variables. 6.G.A Solve real-world and mathematical problems involving area, surface area, and volume 6.SP.A Develop understanding of statistical variability. 6.SP.B Summarize and describe distributions Learning Activities: The student will complete approximately 13-14 lessons each month. Every 10th lesson is an investigation, and after every 5 lessons there is an assessment. The student will also do timed tests and any worksheets/activities that go with the lessons. The student will learn a new aspect of a skill in each lesson and then the rest of the lesson will review previous lessons so that the concepts become solid. Saxon 6/5 Table of Contents LESSON 1 Sequences Digits LESSON 2 Even and Odd Numbers LESSON 3 Using Money to Illustrate Place Value LESSON 4 Comparing Whole Numbers LESSON 5 Naming Whole Numbers Through Hundreds
Dollars and Cents LESSON 6 Adding One-Digit Numbers, Using the Addition Algorithm LESSON 7 Writing and Comparing Numbers Through Hundred Thousands Ordinal Numbers LESSON 8 Subtraction Facts Fact Families LESSON 9 Practicing the Subtraction Algorithm LESSON 10 Missing Addends INVESTIGATION 1 Story Problems LESSON 11 Story Problems About Combining LESSON 12 Lines Number Lines Tally Marks LESSON 13 Multiplication as Repeated Addition Adding and Subtracting Dollars and Cents LESSON 14 Missing Numbers in Subtraction LESSON 15 Making a Multiplication Table LESSON 16 Story Problems About Separating LESSON 17 Multiplying by One-Digit Numbers LESSON 18 Multiplying Three Factors Missing Numbers in Multiplication LESSON 19 Division Facts LESSON 20 Three Ways to Show Division INVESTIGATION 2 Fractions: Halves, Fourths, and Tenths LESSON 21 Problems About Equal Groups LESSON 22 One-Digit Division with a Remainder Divisibility by 2, 5, and 10 LESSON 23 Recognizing Halves LESSON 24 Parentheses Associative Property LESSON 25 Listing the Factors of Whole Numbers LESSON 6 Division Algorithm LESSON 27 Reading Scales LESSON 28 Measuring Time LESSON 29 Multiplying by Multiples of 10 and 100 LESSON 30 Interpreting Pictures of Fractions and Percents INVESTIGATION 3 Fractions: Thirds, Fifths, and Eighths LESSON 31 Pairs of Lines LESSON 32 Angles Polygons LESSON 33 Rounding Numbers Using a Number Line LESSON 34 Division with Zeros in the Quotient LESSON 35 Problems About Comparing Problems About Elapsed Time LESSON 36 Classifying Triangles LESSON 37 Drawing Pictures of Fractions LESSON 38 Fractions and Mixed Numbers on a Number Line LESSON 39 Comparing Fractions by Drawing Pictures LESSON 40 Pictures of Mixed Numbers Writing Quotients as Mixed Numbers, Part 1 INVESTIGATION 4 Measuring Angles
LESSON 41 Adding and Subtracting Fractions with Common Denominators LESSON 42 Short Division Divisibility by 3, 6, and 9 LESSON 43 Writing Quotients as Mixed Numbers, Part 2 Adding and Subtracting Whole Numbers LESSON 45 Classifying Quadrilaterals LESSON 46 Stories About a Fraction of a Group LESSON 47 Simplifying Mixed Measures 234 LESSON 48 Reading and Writing Whole Numbers 238 in Expanded Notation LESSON 49 Solving Two-Step Word Problems 242 LESSON 50 Finding an Average 246 INVESTIGATION 5 Organizing and Analyzing Data 251 LESSON 51 Multiplying by Two-Digit Numbers 258 LESSON 52 Naming Numbers Through Hundred Billions 263 LESSON 53 Perimeter Measures of a Circle 268 LESSON 54 Dividing by Multiples of 10 273 LESSON 55 Multiplying by Three-Digit Numbers 277 LESSON 56 Multiplying by Three-Digit Numbers 280 That Include Zero LESSON 57 Simple Probability 284 LESSON 58 Writing Quotients as Mixed Numbers, Part 3 289 LESSON 59 Fractions Equal to 1 293 Subtracting a Fraction from 1 LESSON 60 Finding a Fraction to Complete a Whole 298 INVESTIGATION 6 Performing Probability Experiments 302 LESSON 61 Using Letters to Identify Geometric Figures 307 LESSON 62 Estimating Arithmetic Answers 313 LESSON 63 Subtracting a Fraction from a Whole 317 Number Greater than 1 LESSON 64 Using Money to Model Decimal Numbers 322 LESSON 65 Decimal Parts of a Meter 328 LESSON 66 Reading a Centimeter Scale 333 LESSON 67 Writing Tenths and Hundredths as 338 Decimal Numbers LESSON 68 Naming Decimal Numbers 344 LESSON 69 Fractions of a Second 349 Comparing and Ordering Decimal Numbers LESSON 70 Writing Equivalent Decimal Numbers 354 Writing Cents Correctly INVESTIGATION 7 Pattern Recognition 359 LESSON 71 Fractions, Decimals, and Percents 365 LESSON 72 Area, Part 1 371 LESSON 73 Adding and Subtracting Decimal Numbers 377 LESSON 74 Converting Units of Length 382 LESSON 75 Changing Improper Fractions to 386
Whole or Mixed Numbers LESSON 76 Multiplying Fractions 391 LESSON 77 Converting Units of Weight and Mass 397 LESSON 78 Exponents and Powers 401 LESSON 79 Finding Equivalent Fractions by Multiplying by 1 407 LESSON 80 Prime and Composite Numbers 412 INVESTIGATION 8 Displaying Data 417 LESSON 81 Reducing Fractions, Part 1 425 LESSON 82 Greatest Common Factor (GCF) 431 LESSON 83 Properties of Geometric Solids 435 LESSON 84 Mean, Median, Mode, and Range 439 LESSON 85 Converting Units of Capacity 444 LESSON 86 Multiplying Fractions and Whole Numbers 448 LESSON 87 Using Manipulatives and 453 Sketches to Divide Fractions LESSON 88 Transformations 458 LESSON 89 Finding a Square Root 463 LESSON 90 Reducing Fractions, Part 2 467 INVESTIGATION 9 Line Graphs 472 LESSON 91 Simplifying Improper Fractions 476 LESSON 92 Dividing by Two-Digit Numbers 481 LESSON 93 Comparative Bar Graphs 486 LESSON 94 Using Estimation When Dividing by 490 Two-Digit Numbers LESSON 95 Reciprocals 494 LESSON 96 Using Reciprocals to Divide Fractions 499 LESSON 97 Ratios 504 LESSON 98 Negative Numbers 508 LESSON 99 Adding and Subtracting Whole 512 Numbers and Decimal Numbers LESSON 100 Simplifying Decimal Numbers 517 INVESTIGATION 10 Graphing Points on a Coordinate Plane 521 LESSON 101 Rounding Mixed Numbers to the 524 Nearest Whole Number LESSON 102 Subtracting Decimal Numbers Using Zeros 528 LESSON 103 Volume 532 LESSON 104 Rounding Decimal Numbers to the 537 Nearest Whole Number LESSON 105 Symmetry 542 LESSON 106 Reading and Ordering Decimal Numbers 548 Through Ten-Thousandths LESSON 107 Using Percent to Name Part of a Group 554 LESSON 108 Schedules 559 LESSON 109 Multiplying Decimal Numbers 564 LESSON 110 Multiplying Decimal Numbers: 569 Using Zeros as Placeholders
INVESTIGATION 11 Scale Drawings 573 LESSON 111 Multiplying Decimal Numbers 576 by 10, by 100, and by 1000 LESSON 112 Finding the Least Common 580 Multiple of Two Numbers LESSON 113 Writing Mixed Numbers as Improper Fractions 584 LESSON 114 Problems with No Solutions or Many Solutions 589 LESSON 115 Area, Part 2 594 LESSON 116 Finding Common Denominators to Add, 598 Subtract, and Compare Fractions LESSON 117 Dividing a Decimal Number by a Whole Number 603 LESSON 118 Using Zero as a Placeholder Dividing Decimal Numbers by 10, by 100, and by 1000 LESSON 119 Dividing by a Decimal Number 613 LESSON 120 Multiplying Mixed Numbers 617 INVESTIGATION 12 Tessellations 621 Progress Criteria/Methods of Evaluation: For successful completion of this course, the student will complete at least 70% of the lessons/goals, at a minimum of 70% accuracy. September Complete Lessons 1 14 5.OA.2; 5.OA.3; 5.NBT.1; 5.NBT.7; 6.NS.A; 6.EE.C; 6.SP.B October Complete Lessons 15 28 5.OA.1; 5.OA.2; 5.NF.2; 5.NF.3; 5.NF.7; 5.NBT.5; 5.NBT.7; 6.RP.A; 6.NS.B November Complete Lessons 29 42 5.NF.2; 5.NF.3; 5.NBT.2; 5.NBT.5; 5.NBT.6; 5.NBT.7; 5.G.3; 6.NS.A; 6.NS.B; 6.NS.C December Complete Lessons 43 56 5.OA.1; 5.OA.2; 5.NF.4; 5.NBT.1; 5.NBT.5; 5.NBT.6; 5.NBT.7; 5.MD.1; 6.RP.A; 6.NS.B; 6.SP.A; 6.SP.B January Complete Lessons 57 70 5.NF.2; 5.NBT.1; 5.NBT.2; 5.NBT.3; 5.NBT.4; 5.MD.1; 6.RP.A; 6.NS.B; 6.SP.A; 6.SP.B February Complete Lessons 71 84 5.NF.2; 5.NF.4; 5.NBT.2; 5.NBT.3; 5.NBT.7; 5.MD.1; 5.MD.2; 6.NS.B; 6.SP.B; 6.G.A March Complete Lessons 85 98 5.NF.2; 5.NF.3; 5.NF.4; 5.NF.5; 5.NF.7; 5.NBT.6; 6.RP.A; 6.NS.C; 6.SP.B; 6.G.A April Complete Lessons 99 112 5.MD.5; 5.NBT.1; 5.NBT.2; 5.NBT.3; 5.NBT.4; 5.NBT.7; 6.RP.A; 6.SP.B; 6.G.A May Complete Lessons 113 120 5.NF.1; 5.NF.2; 5.NF.6; 5.NBT.5; 6.NS.B; 6.G.A; 6.EE.C June Review