3.NBT NBT.2


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1 Saxon Math 3 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. 3rd grade Saxon uses simulations and games to help students understand and practice new concepts with content integrated from other core subjects such as social studies. Students learn skipcounting, comparing and ordering numbers, identify ordinal positions, identify and complete patterns, add/subtract multidigit numbers, basic division, add positive and negative numbers, fraction concepts, understand and calculate measurements, compare and measure mass, identify function rules, graphing concepts, and concepts of geometry. Learning Materials: Main Curriculum: Saxon  Math K3 Manipulatives Kit Saxon Math 3: An Incremental Development, Home Study Meeting Book Saxon Math 3: Home Study Teachers Edition Saxon Math Grade 3 Student Workbook/Fact Cards Learning Goals/Performance Objectives: 3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place 3.NBT.3 Multiply onedigit whole numbers by multiples of 10 in the range (e.g., 9 x 80, 5 x 60) using strategies based on place value and properties of operations 3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram. 3.MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep how many more and how many less problems using information presented in scaled bar graphs. 3.MD.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units whole numbers, halves, or quarters. 3.MD.5 Recognize area as an attribute of plane figures, and understand concepts of area measurement 3.MD.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units). 3.MD.7 Relate area to the operations of multiplication and addition. 3.MD.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters. 3.AO.1 Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in
2 5 groups of 7 objects each. 3.AO.2 Interpret wholenumber quotients of whole numbers, e.g., interpret 56 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. 3.AO.3 Use multiplication within 100 to solve word problems in situations involving equal groups and arrays, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. 3.AO.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. 3.AO.5 Apply properties of operations as strategies to multiply. (Commutative and Associative) 3.AO.6 Understand division as an unknownfactor problem 3.AO.7 Fluently multiply within 100, using strategies or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers 3.AO.7 Fluently multiply and divide within 100, using strategies such as the relationship 3.AO.8 Solve twostep word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 3.OA.9 Identify arithmetic patterns, and explain them using properties of operations. 3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. 3.NF.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram. 3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. 3.G.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. Learning Activities: The student will complete approximately lessons each month. Every 10th lesson is an assessment. 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. The student will also do timed tests and any worksheets/activities that go with the lessons. Saxon Math 3 Table of Contents Lesson 1  telling time to the hour Lesson 2 graphing data on a bar graph Lesson 3 reading a graph, addition facts doubles to 18 Lesson 4 telling time to the half hour, addition facts adding one and adding zero Lesson 5 using a ruler to measure to the nearest inch Lesson 6 identifying and measuring the length and width of a rectangle Lesson 7 ordering numbers to 100 Lesson 8 addition facts adding two lesson 9 identifying even and odd numbers, identifying and acting out some, some more stories
3 lesson 10 identifying the relative worth of pattern blocks lesson 11 dividing squares into two and four equal parts lesson 12 counting dimes and nickels to $1.00 lesson 13 0 addition facts doubles plus one lesson 14 identifying and acting out some, some went away stories lesson 15 adding ten to a twodigit number lesson 16 drawing pictures and writing number sentences for some, some more and some, some went away stories lesson 17 dividing squares into two, four, and eight equal parts, shading halves, fourths and eighths lesson 18 addition facts sum of ten lesson 19 reading a thermometer to the nearest ten degrees, rounding numbers to the nearest ten, drawing congruent lines segments lesson 20 making a pattern block design with a given value lesson 21 rounding numbers to the nearest ten, subtraction facts subtracting one lesson 22 dividing a square into three equal parts, identifying and shading thirds, identify common geometric shapes lesson 23 rewriting numbers by regrouping tens and ones, trading dimes and pennies lesson 24 identifying the meaning of the multiplication sign, counting by 7 s lesson 25 subtracting ten from a two digit numbers lesson 26 identifying a dozen and a half dozen, writing fractions using the fraction bar lesson 27 counting dimes, nickels, and pennies, addition facts adding nine lesson 28 writing money amounts using the cent and dollar signs lesson 29 reading and shading a thermometer to the nearest two degrees lesson 30 identifying addition fact patterns lesson 31 addition facts the last eight facts, multiplying by ten lesson 32 constructing a number line lesson 33 writing fraction number sentences that equal one lesson 34 using a ruler to measure to the nearest centimeter, adding multiples of ten lesson 35 drawing congruent lines lesson 36 adding multiples of ten to a number lesson 37 writing number sentences for some, some more and some went away stories lesson 38 finding half of a set of objects, subtracting half of a double lesson 39 counting quarters, subtraction facts subtracting zero and differences of zero lesson 40 tallying, collecting data lesson 41 identifying a.m. and p.m. identifying missing digits lesson 42 reading a thermometer to the nearest degree, identifying the freezing and boiling points of water on F scale, identifying normal body temperature on the F scale, subtraction facts differences of one lesson 43 identifying horizontal, vertical and oblique line segments
4 lesson 44 adding multiples of 100 lesson 45 adding three of more single digit numbers lesson 46 multiplying by seven, naming and drawing line segments lesson 47 identifying and solving equal groups stories lesson 48 multiplying by one, writing division problems three ways, dividing by one and ten lesson 49 finding perimeter lesson 50 making shapes with a given area lesson 51 graphing using a scale of ten lesson 52 estimating the volume of containers, ordering containers by volume, identifying one cup liquid measure lesson 53 identifying cup, pint, quart, half gallon, gallon, and liter containers lesson 54 telling and showing time to fiveminute intervals lesson 55 measuring and drawing line segments tot eh nearest half inch lesson 56 reading numbers to 999 lesson 57 creating a pictograph lesson 58 using a comparison symbols < > = lesson 59 multiplying by two lesson 60 locating information on a map lesson 61 writing fractions lesson 62 identifying hundreds, tens and ones lesson 63 measuring with cups tablespoons, and teaspoons reading a recipe lesson 64 subtracting multiples of 10 and 100, comparing and ordering three digit numbers lesson 65 identifying the missing addend in a some more story lesson 66 following a recipe and measuring lesson 67 squaring numbers, identifying perfect squares lesson 68 showing fractional amounts greater than one, writing the sizes of the pattern block pieces using fractions lesson 69 adding twodigit numbers using mental computation lesson 70 reading a chart, rounding numbers to the nearest ten, creating a bar graph lesson 71 writing threedigit numbers using digits lesson 72 identifying ordinal position to twentieth, multiplying by five lesson 73 writing numbers to 100 using words lesson 74 measuring to the nearest millimeter lesson 75 multiplying by four lesson 76 drawing a line graph lesson 77 reading and writing money amounts for $100.00, writing checks lesson 78 writing the date using digits, subtracting nine from a number lesson 79 finding square roots of perfect squares lesson 80 making reasonable predictions by collecting and analyzing data lesson 81 adding two and three digit numbers
5 lesson 82 writing numbers to 999 using words, subtraction facts differences of nine lesson 83 identifying the number of days in each month, identifying the number of days in a year lesson 84 selecting coins for a given amount lesson 85 multiplying by eight lesson 86 adding money amounts (decimals) lesson 87 subtraction facts the last sixteen facts lesson 88 reading the temperature on a Celsius scale lesson 89 finding a fractional part of a set, determining age Lesson 90 identifying compass directions on a map Lesson 91 addition with three addends Lesson 92: measuring and drawing line segments to the nearest quarter inch Lesson 93: telling time to the minute Lesson 94: subtracting twodigit numbers Lesson 95: multiplying by three and six Lesson 96: estimating and measuring distance using feet, estimating and measuring distance using yards Lesson 97: subtracting two and three digit numbers Lesson 98: subtracting two and three digit numbers Lesson 99: writing three digit numbers in expanded form Lesson 100: recording growth on a line graph Lesson 101: reading and writing numbers to 99,999, multiplying numbers by 1,000 Lesson 102: adding money amounts to $99,999.99, writing checks for money amounts of $99, Lesson 103: telling time to the quarter hour Lesson 104: subtracting across zeros Lesson 105: multiplying by nine Lesson 106: finding the missing addend for sums of 100 Lesson 107: making change from $1.00 Lesson 108: finding the area of a rectangle Lesson 109: identifying and solving larger, smaller, difference problems Lesson 110: identifying multiplication fact patterns on the hundred chart Lesson 111: multiplying a multiple of 10, 100, or 1,000 by a single digit number Lesson 112: locating negative numbers on a number line Lesson 113: multiplying a single digit number times a multidigit number, using expanded form of a number Lesson 114: finding a missing dimension of a rectangle Lesson 115: acting out division stories Lesson 116: dividing by two, five and seven. Lesson 117: showing addition, subtraction and multiplication on a number line
6 Lesson 118: identifying parallel lines and line segments Lesson 119: identifying a function rule Lesson 120: identifying the factors of a number, identifying prime numbers less than 20 Lesson 121: multiplying using the multiplication algorithm Lesson 122: dividing by four and eight Lesson 123: identifying perpendicular lines and line segments Lesson 124: determining the appropriate unit of weight (ounces, pounds, tons), estimating weight Lesson 125: dividing by 3,6,9 Lesson 126: division with remainders Lesson 127: identifying right, acute, and obtuse angles Lesson 128: adding and subtracting fractions with common denominators Lesson 129: dividing a two digit number by a one digit number with a quotient greater than 10 Lesson 130: using a scale to find distance on a map Lesson 131: reading the time as minutes before the hours Lesson 132: simplifying expressions with exponents multiplying three or more factors Lesson 133: identifying lines of symmetry Lesson 134: dividing a three digit number by a one digit number Lesson 135: simplifying expressions with addition, subtraction, multiplication and division Lesson 136: adding positive and negative numbers Lesson 137: ordering unit fractions Lesson 138: simplifying an expression containing parenthesis Lesson 139: creating a coordinate place, identifying the location of a point on a coordinate plane Lesson 140: graphing points on a coordinate plane September Complete Lessons NBT.1 Use place value understanding to round whole numbers to the nearest 10 or MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram. 3.MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep how many more and how many less problems using information presented in scaled bar graphs. 3.OA.9 Identify arithmetic patterns (including patterns in the addition table), and explain them using properties of operations. 3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place October Complete Lessons OA.9 Identify arithmetic patterns (including patterns in the addition table), and explain them
7 using properties of operations. 3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place 3.MD.1 Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram. 3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. 3.G.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. 3.NF.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram. 3.MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep how many more and how many less problems using information presented in scaled bar graphs. 3.MD.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units whole numbers, halves, or quarters. 3.OA.9 Identify arithmetic patterns (including patterns in the addition table), and explain them using properties of operations. 3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place November Complete Lessons MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep how many more and how many less problems using information presented in scaled bar graphs. 3.MD.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units whole numbers, halves, or quarters. 3.OA.9 Identify arithmetic patterns (including patterns in the addition table), and explain them using properties of operations. 3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place 3.AO.1 Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. 3.AO.3 Use multiplication within 100 to solve word problems in situations involving equal groups and arrays, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. 3.AO.5 Apply properties of operations as strategies to multiply. (Commutative and Associative) 3.AO.7 Fluently multiply within 100, using strategies or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers. 3.AO.9 Identify arithmetic patterns (including patterns in the multiplication table), and explain them using properties of operations. December Complete Lessons 49 64
8 3.MD.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters. 3.AO.1 Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. 3.AO.2 Interpret wholenumber quotients of whole numbers, e.g., interpret 56 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. 3.AO.3 Use multiplication within 100 to solve word problems in situations involving equal groups and arrays, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. 3.AO.5 Apply properties of operations as strategies to multiply. (Commutative and Associative) 3.AO.7 Fluently multiply within 100, using strategies or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers. 3.AO.9 Identify arithmetic patterns (including patterns in the multiplication table), and explain them using properties of operations. January Complete Lessons NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. 3.G.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape. 3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. 3.NF.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram. 3.AO.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. February Complete Lessons MD.5 Recognize area as an attribute of plane figures, and understand concepts of area measurement. a. A square with side length 1 unit, called a unit square, is said to have one square unit of area, and can be used to measure area. b. A plane figure, which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units. 3.MD.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units). 3.MD.7 Relate area to the operations of multiplication and addition. 3.AO.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and
9 equations with a symbol for the unknown number to represent the problem. March Complete Lessons NBT.1 Use place value understanding to round whole numbers to the nearest 10 or AO.2 Interpret wholenumber quotients of whole numbers, e.g., interpret 56 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. 3.AO.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. 3.AO.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. 3.AO.5 Apply properties of operations as strategies to multiply and divide. (Distributive) 3.AO.6 Understand division as an unknownfactor problem. 3.AO.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division, or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers. 3.NBT.3 Multiply onedigit whole numbers by multiples of 10 in the range (e.g., 9 x 80, 5 x 60) using strategies based on place value and properties of operations. April Complete Lessons MD.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters. 3.NBT.3 Multiply onedigit whole numbers by multiples of 10 in the range (e.g., 9 x 80, 5 x 60) using strategies based on place value and properties of operations. 3.AO.2 Interpret wholenumber quotients of whole numbers, e.g., interpret 56 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. 3.AO.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. 3.AO.5 Apply properties of operations as strategies to multiply and divide. May Complete Lessons AO.8 Solve twostep word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 3.AO.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.3.ao.5 Apply properties of operations as strategies to multiply and divide.
10 June Review 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. Sept: Complete Lessons 116 Oct: Complete Lessons Nov: Complete Lessons Dec: Complete Lessons Jan: Complete Lessons Feb: Complete Lessons Mar: Complete Lessons Apr: Complete Lessons May/June: Complete Lessons /Review
2.NBT.1 20) , 200, 300, 400, 500, 600, 700, 800, NBT.2
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