# GRADE 2 MATHEMATICS. Students are expected to know content and apply skills from previous grades.

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1 GRADE 2 MATHEMATICS Students are expected to know content and apply skills from previous grades. Mathematical reasoning and problem solving processes should be incorporated throughout all mathematics standards. Students should use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models to communicate mathematical information and to explain mathematical reasoning and concepts. SAXON PUBLISHERS Math 2: An Incremental Development 2004 correlated to Idaho Mathematics Standards Grade 2 Standard 1: Number and Operation Students in Grade 2 demonstrate knowledge of our numeration system by counting forward by twos, fives, and tens to 100 and by counting forward and backward by ones from any given number less than 100. Students read, write, compare, and order whole numbers to 1,000 and students identify place value through 999. Students count the value of a collection of pennies, nickels, dimes, and quarters up to a dollar. Students use strategies for addition and subtraction combinations through 18 and students add whole numbers with and without regrouping through 99. Goal 1.1: Understand and use numbers. 2.M Demonstrate knowledge of our numeration system by counting forward by twos, fives, and tens to 100 and by counting forward and backward by ones from any given number less than 100. ( a) Skip count by 2's Guided Class Practice: 24, 46, 47, 75 1, 104 Count forward Lessons: 2, 32, 93 Count backward Lessons: 2 Skip count by 5's Lessons: 32 Skip count by 10's Lessons: 76, 77 2.M Read, write, compare, and order whole numbers to 1,000. ( b) Lessons: 1, 2

2 Read numbers Write numbers Lessons: 4, 59, 76, 77, 83, 84, 111, 112 Order numbers Lessons: 49, 74 Compare numbers Lessons: 8, 81 2.M Identify place value through 999. ( c) Place value Lessons: 38, 42, 53, 54, 61, 62, 63, 64, 71, 76, 77, 84, 87, 88, 89, 91 2.M Count the value of a collection of pennies, nickels, dimes, and quarters up to \$1.00. ( d) Money, count and show amounts Lessons: 28, 46, 51, 93, M Recognize mathematical information and select strategies appropriate for solving a problem. ( a) Choose a strategy Lessons: M Use appropriate vocabulary. ( f) Discussion Lessons: 3, 4, 5, 6, 7, 8, 9, 10 1, 10 2, 11, 12, 13, 14, 15 1, 15 2, 16, 17, 18, 19, 20 1, 20 2, 21, 22, 23, 24, 25 1, 25 2, 26, 27, 28, 29, 30 1, 30 2, 31, 32, 33, 34, , 36, 37, 38, 39, 40 1, 40 2, 41, 42, 43, 44, 45 1, 45 2, 46, 47, 48, 49, 50 1, 50 2, 51, 52, 53, 54, 55 1, 55 2, 56, 57, 58, 59, 60 1, 60 2, 61, 62, 63, 64, 65 1, 65 2, 66, 67, 68, 69, 70 1, 70 2, 71, 72, 73, 74, 75 1, 75 2, 76, 77, 78, 79, 80 1, 80 2, 81, 82, 83, 84, 85 1, 85 2, 86, 87, 88, 89, 90 1, 90 2, 91, 92, 93, 94, 95 1, 95 2, 96, 97, 98, 99, 100 1, 100 2, 101, 102,

4 2.M Add three one-digit addends. ( c) Add with three or more addends Lessons: 58, 68, 79 2.M Choose addition or subtraction to solve word problems and explain the choice. ( b) Addition, problem solving Lessons: 8, 22 Subtraction, problem solving Lessons: 89, 91, M Use appropriate vocabulary. ( e) Discussion Lessons: 3, 4, 5, 6, 7, 8, 9, 10 1, 10 2, 11, 12, 13, 14, 15 1, 15 2, 16, 17, 18, 19, 20 1, 20 2, 21, 22, 23, 24, 25 1, 25 2, 26, 27, 28, 29, 30 1, 30 2, 31, 32, 33, 34, , 36, 37, 38, 39, 40 1, 40 2, 41, 42, 43, 44, 45 1, 45 2, 46, 47, 48, 49, 50 1, 50 2, 51, 52, 53, 54, 55 1, 55 2, 56, 57, 58, 59, 60 1, 60 2, 61, 62, 63, 64, 65 1, 65 2, 66, 67, 68, 69, 70 1, 70 2, 71, 72, 73, 74, 75 1, 75 2, 76, 77, 78, 79, 80 1, 80 2, 81, 82, 83, 84, 85 1, 85 2, 86, 87, 88, 89, 90 1, 90 2, 91, 92, 93, 94, 95 1, 95 2, 96, 97, 98, 99, 100 1, 100 2, 101, 102, 103, 104, 105 1, 105 2, 106, 107, 108, 109, 110 1, 110 2, 111, 112, 113, 114, 115 1, 115 2, 116, 117, 118, 119, 120 1, 120 2, 121, 122, 123, 124, 125 1, 125 2, 126, 127, 128, 129, 130 1, 130 2, 131, 132, 133, 134, 135 Goal 1.3: Estimate and judge reasonableness of results.

5 2.M Estimate to predict the sum of numbers through 99. ( a) Estimate sums Lessons: 98, M Use estimation to evaluate the reasonableness of the sum of numbers through 99. ( b) Check your answer Lessons: 75 1, 80 1, M Use appropriate vocabulary. ( c) Discussion Lessons: 3, 4, 5, 6, 7, 8, 9, 10 1, 10 2, 11, 12, 13, 14, 15 1, 15 2, 16, 17, 18, 19, 20 1, 20 2, 21, 22, 23, 24, 25 1, 25 2, 26, 27, 28, 29, 30 1, 30 2, 31, 32, 33, 34, , 36, 37, 38, 39, 40 1, 40 2, 41, 42, 43, 44, 45 1, 45 2, 46, 47, 48, 49, 50 1, 50 2, 51, 52, 53, 54, 55 1, 55 2, 56, 57, 58, 59, 60 1, 60 2, 61, 62, 63, 64, 65 1, 65 2, 66, 67, 68, 69, 70 1, 70 2, 71, 72, 73, 74, 75 1, 75 2, 76, 77, 78, 79, 80 1, 80 2, 81, 82, 83, 84, 85 1, 85 2, 86, 87, 88, 89, 90 1, 90 2, 91, 92, 93, 94, 95 1, 95 2, 96, 97, 98, 99, 100 1, 100 2, 101, 102, 103, 104, 105 1, 105 2, 106, 107, 108, 109, 110 1, 110 2, 111, 112, 113, 114, 115 1, 115 2, 116, 117, 118, 119, 120 1, 120 2, 121, 122, 123, 124, 125 1, 125 2, 126, 127, 128, 129, 130 1, 130 2, 131, 132, 133, 134, 135 Standard 2: Concepts and Principles of Measurement

6 Students in Grade 2 measure time, length, weight and temperature using standard and non-standard units and tools. Students tell time using both digital and analog clocks to the half hour. Goal 2.1: Understand and use U.S. customary and metric measurements. 2.M Select a tool that can measure a given attribute (ruler length, cup volume, balance weight, clock time, thermometer temperature). ( a) Lessons: 40 2, 43, 72, 102, 104 Measure a line segment Measure temperature Lessons: 27, 69 Nonstandard units of length Lessons: 55 2 Customary units of length Homework: 59 Metric units of length Lessons: 102, 104 Nonstandard units of weight Lessons: 35 2 Customary units of weight Lessons: Metric units of weight Lessons: M Estimate length and time using standard units. ( b) Estimate measures Lessons: 35 2, 75 2, 99, 110 2, 115 2, 131 Estimate length Lessons: 55 2 Estimate capacity Lessons: 75 2 Estimate weight or mass Lessons: 35 2, 110 2, M Tell time using both digital and analog clocks to the half hour. ( c)

7 Tell time to the nearest hour Lessons: 3 Tell time to the nearest half-hour Lessons: 26 2.M Select the most appropriate unit to measure the time of a given situation (minutes, hours). ( d) This objective falls outside the scope of Saxon Publishers Math 2: An Incremental Development. 2.M Recite the months of the year, in order. Months of the year Meetings: 4, 5, 6, 7, 8, 9, 10 1, 10 2, 11, 12, 13, 14, 15 1, 15 2, 16, 17, 18, 19, 20 1, 20 2, 21, 22, 23, 24, 25 1, 25 2, 26, 27, 28, 29, 30 1, 30 2, 31, 32, 33, 34, , 36, 37, 38, 39, 40 1, 40 2, 41, 42, 43, 44, 45 1, 45 2, 46, 47, 48, 49, 50 1, 50 2, 51, 52, 53, 54, 55 1, 55 2, 56, 57, 58, 59, 60 1, 60 2, 61, 62, 63, 64, 65 1, 65 2, 66, 67, 68, 69, 70 1, 70 2, 71, 72, 73, 74, 75 1, 75 2, 76, 77, 78, 79, 80 1, 80 2, 81, 82, 83, 84, 85 1, 85 2, 86, 87, 88, 89, 90 1, 90 2, 91, 92, 93, 94, 95 1, 95 2, 96, 97, 98, 99, 100 1, 100 2, 101, 102, 103, 104, 105 1, 105 2, 106, 107, 108, 109, 110 1, 110 2, 111, 112, 113, 114, 115 1, 115 2, 116, 117, 118, 119, 120 1, 120 2, 121, 122, 123, 124, 125 1, 125 2, 126, 127, 128, 129, 130 1, 130 2, 131, 132, 133, 134, M Use appropriate vocabulary. ( e) Discussion Lessons: 3, 4, 5, 6, 7, 8, 9, 10 1, 10 2, 11,

8 12, 13, 14, 15 1, 15 2, 16, 17, 18, 19, 20 1, 20 2, 21, 22, 23, 24, 25 1, 25 2, 26, 27, 28, 29, 30 1, 30 2, 31, 32, 33, 34, , 36, 37, 38, 39, 40 1, 40 2, 41, 42, 43, 44, 45 1, 45 2, 46, 47, 48, 49, 50 1, 50 2, 51, 52, 53, 54, 55 1, 55 2, 56, 57, 58, 59, 60 1, 60 2, 61, 62, 63, 64, 65 1, 65 2, 66, 67, 68, 69, 70 1, 70 2, 71, 72, 73, 74, 75 1, 75 2, 76, 77, 78, 79, 80 1, 80 2, 81, 82, 83, 84, 85 1, 85 2, 86, 87, 88, 89, 90 1, 90 2, 91, 92, 93, 94, 95 1, 95 2, 96, 97, 98, 99, 100 1, 100 2, 101, 102, 103, 104, 105 1, 105 2, 106, 107, 108, 109, 110 1, 110 2, 111, 112, 113, 114, 115 1, 115 2, 116, 117, 118, 119, 120 1, 120 2, 121, 122, 123, 124, 125 1, 125 2, 126, 127, 128, 129, 130 1, 130 2, 131, 132, 133, 134, 135 Goal 2.2: Apply the concepts of rates, ratios, and proportions. No objectives at this grade level. Goal 2.3: Apply dimensional analysis. No objectives at this grade level. Standard 3: Concepts and Language of Algebra and Functions Students in Grade 2 show the relationship between addition and subtraction and demonstrate reversal of operations. Students write a number sentence from an addition or subtraction problem-solving situation. Students use the commutative property of addition. Students translate a repeating pattern from one representation to another.

9 Goal 3.1: Use algebraic symbolism as a tool to represent mathematical relationships. 2.M Write addition and subtraction problems vertically and horizontally. ( a) Guided Class Practice: 22, 24, 25 1, 26, Write addition number sentences 27, 29, 32, 36, 39, 41, 42, 43, 44, 45 1, 46, horizontally 47, 48, 49, 52, 53, 54, 58, 61, 62, 65 1, 66, 68, 69, 71, 72, 73, 74, 75 1, 76, 77, 81, 82, 84, 85 1, 89, 94, 96, 98, 102, 104, 105 1, 107, 108, 111, 112, 113, 121, 122, 124, 126, 129, 131 Homework: 22, 24, 25 1, 27, 29, 32, 36, 37, 38, 39, 41, 43, 44, 46, 47, 49, 53, 56, 58, 61, 62, 65 1, 66, 68, 69, 71, 72, 73, 74, 75 1, 76, 77, 81, 82, 84, 85 1, 89, 94, 96, 97, 98, 102, 104, 105 1, 107, 108, 109, 111, 112, 113, 121, 122, 124, 126, 129, 131 Write subtraction number sentences horizontally Write additions and subtraction problems vertically Lessons: 22 This objective falls outside the scope of Saxon Publishers Math 2: An Incremental Development. 2.M Write a number sentence from an addition or subtraction problemsolving situation. ( a) Guided Class Practice: 22, 24, 25 1, 26, Write addition number sentences 27, 29, 32, 36, 39, 41, 42, 43, 44, 45 1, 46, 47, 48, 49, 52, 53, 54, 58, 61, 62, 65 1, 66, 68, 69, 71, 72, 73, 74, 75 1, 76, 77, 81, 82, 84, 85 1, 89, 94, 96, 98, 102, 104, 105 1, 107, 108, 111, 112, 113, 121, 122, 124, 126, 129, 131 Homework: 22, 24, 25 1, 27, 29, 32, 36, 37, 38, 39, 41, 43, 44, 46, 47, 49, 53, 56, 58, 61, 62, 65 1, 66, 68, 69, 71, 72,

10 Write subtraction number sentences Lessons: 22 73, 74, 75 1, 76, 77, 81, 82, 84, 85 1, 89, 94, 96, 97, 98, 102, 104, 105 1, 107, 108, 109, 111, 112, 113, 121, 122, 124, 126, 129, M Show the relationship between addition and subtraction using fact families. ( d) Writing addition and subtraction fact families Lessons: 29 2.M Compare numbers to 999 using the vocabulary words/phrases of less than, greater than, equal to. ( c) Compare numbers Lessons: 8, 81 Goal 3.2: Evaluate algebraic expressions. 2.M Use the commutative property of addition. Commutative property Lessons: 10 1, 15 1, 20 1, M Solve addition problems using the commutative property (e.g., If = 12, then what is 5 + 7?). Commutative property Lessons: 10-1, 15-1, 20-1, Goal 3.3: Solve algebraic equations and inequalities. No objectives at this grade level.

11 Goal 3.4: Understand the concept of functions. 2.M Translate a repeating pattern from one representation to another (e.g., even, odd, even, odd translates to ABAB). ( a) Find a numerical pattern Lessons: 13, Extend a numerical pattern Lessons: Find a geometric pattern Lessons: 7, 15 2 Extend a geometric pattern Lessons: 7, 15 2 Number patterns Lessons: 13 Visual patterns Guided Class Practice: 18, 22, 27 2.M Discussion Use appropriate vocabulary. ( c) Lessons: 3, 4, 5, 6, 7, 8, 9, 10 1, 10 2, 11, 12, 13, 14, 15 1, 15 2, 16, 17, 18, 19, 20 1, 20 2, 21, 22, 23, 24, 25 1, 25 2, 26, 27, 28, 29, 30 1, 30 2, 31, 32, 33, 34, , 36, 37, 38, 39, 40 1, 40 2, 41, 42, 43, 44, 45 1, 45 2, 46, 47, 48, 49, 50 1, 50 2, 51, 52, 53, 54, 55 1, 55 2, 56, 57, 58, 59, 60 1, 60 2, 61, 62, 63, 64, 65 1, 65 2, 66, 67, 68, 69, 70 1, 70 2, 71, 72, 73, 74, 75 1, 75 2, 76, 77, 78, 79, 80 1, 80 2, 81, 82, 83, 84, 85 1, 85 2, 86, 87, 88, 89, 90 1, 90 2, 91, 92, 93, 94, 95 1, 95 2, 96, 97, 98, 99, 100 1, 100 2, 101, 102, 103, 104, 105 1, 105 2, 106, 107, 108, 109, 110 1, 110 2, 111, 112, 113, 114, 115 1, 115 2, 116, 117, 118, 119, 120 1, 120 2, 121, 122, 123, 124, 125 1, 125 2, 126, 127, 128, 129, 130 1, 130 2, 131, 132, 133, 134, 135

12 Goal 3.5: Represent equations, inequalities and functions in a variety of formats. No objectives at this grade level. Goal 3.6: Apply functions to a variety of problems. No objectives at this grade level. Standard 4: Concepts and Principles of Geometry Students in Grade 2, recognize, name, build, compare and sort the two- and threedimensional shapes of triangles, squares, circles, rectangles, cones, cubes, spheres, and cylinders. Students draw a line of symmetry. Goal 4.1: Apply concepts of size, shape, and spatial relationships. 2.M Recognize, name, build, compare, and sort the two- and threedimensional shapes of triangles, rectangles, squares, circles, cones, cubes, spheres, cylinders, and pyramids. ( a) Identify plane figures Lessons: 6, 18, 21 Identify solid figures Lessons: 101 Draw, construct plane shapes Lessons: 18, 24, 57, 60 2, 65 2, 70 2, 80 2, 85 2, 108, M Sort and classify objects by more than one attribute. ( b) Sort coins Lessons: 46 Sort geometric shapes by attribute Lessons: 21, M Draw a line of symmetry. ( b)

13 Symmetry Lessons: 52 2.M Use appropriate vocabulary. ( d) Discussion Lessons: 3, 4, 5, 6, 7, 8, 9, 10 1, 10 2, 11, 12, 13, 14, 15 1, 15 2, 16, 17, 18, 19, 20 1, 20 2, 21, 22, 23, 24, 25 1, 25 2, 26, 27, 28, 29, 30 1, 30 2, 31, 32, 33, 34, , 36, 37, 38, 39, 40 1, 40 2, 41, 42, 43, 44, 45, 45 2, 46, 47, 48, 49, 50 1, 50 2, 51, 52, 53, 54, 55 1, 55 2, 56, 57, 58, 59, 60 1, 60 2, 61, 62, 63, 64, 65 1, 65 2, 66, 67, 68, 69, 70 1, 70 2, 71, 72, 73, 74, 75 1, 75 2, 76, 77, 78, 79, 80 1, 80 2, 81, 82, 83, 84, 85 1, 85 2, 86, 87, 88, 89, 90 1, 90 2, 91, 92, 93, 94, 95 1, 95 2, 96, 97, 98, 99, 100 1, 100 2, 101, 102, 103, 104, 105 1, 105 2, 106, 107, 108, 109, 110 1, 110 2, 111, 112, 113, 114, 115 1, 115 2, 116, 117, 118, 119, 120 1, 120 2, 121, 122, 123, 124, 125 1, 125 2, 126, 127, 128, 129, 130 1, 130 2, 131, 132, 133, 134, 135 Goal 4.2: Apply the geometry of right triangles. No objectives at this grade level. Goal 4.3: Apply graphing in two dimensions. 2.M Indicate whether a number is above or below a benchmark number of 1000 or less on a number line. This objective falls outside the scope of Saxon Publishers Math 2: An Incremental Development.

14 Standard 5: Data Analysis, Probability, and Statistics Students in Grade 2 interpret information found in simple tables, charts, and graphs. Students gather and display data in tables, charts and graphs in order to answer a question. Goal 5.1: Understand data analysis. 2.M Interpret information found in simple tables, charts, bar graphs, and pictographs. ( a) Read bar graphs Lessons: 2, 31, 39, 48, 105 2, 113, 125 2, 134, 135 Understand and use scale when reading Lessons: 82, 113 and making graphs Read and make charts Lessons: 5, 32, 35 2, 36, 37, 51, 63, 82, 95 2 Read, make tally charts Lessons: 32, 113, M Use appropriate vocabulary. ( b) Discussion Lessons: 3, 4, 5, 6, 7, 8, 9, 10 1, 10 2, 11, 12, 13, 14, 15 1, 15 2, 16, 17, 18, 19, 20 1, 20 2, 21, 22, 23, 24, 25 1, 25 2, 26, 27, 28, 29, 30 1, 30 2, 31, 32, 33, 34, , 36, 37, 38, 39, 40 1, 40 2, 41, 42, 43, 44, 45 1, 45 2, 46, 47, 48, 49, 50 1, 50 2, 51, 52, 53, 54, 55 1, 55 2, 56, 57, 58, 59, 60 1, 60 2, 61, 62, 63, 64, 65 1, 65 2, 66, 67, 68, 69, 70 1, 70 2, 71, 72, 73, 74, 75 1, 75 2, 76, 77, 78, 79, 80 1, 80 2, 81, 82, 83, 84, 85 1, 85 2, 86, 87, 88, 89, 90 1, 90 2, 91, 92, 93, 94, 95 1, 95 2,

15 96, 97, 98, 99, 100 1, 100 2, 101, 102, 103, 104, 105 1, 105 2, 106, 107, 108, 109, 110 1, 110 2, 111, 112, 113, 114, 115 1, 115 2, 116, 117, 118, 119, 120 1, 120 2, 121, 122, 123, 124, 125 1, 125 2, 126, 127, 128, 129, 130 1, 130 2, 131, 132, 133, 134, 135 Goal 5.2: Collect, organize, and display data. 2.M Gather and display data in tables, charts, and bar graphs in order to answer a question. ( a) Lessons: 2, 17, 32, 37, 39, 48, 66, 82, 105 Collect and organize data 2, 113, 120 2, 125 2, 134, 135 Read and make charts Lessons: 5, 32, 35 2, 36, 37, 51, 63, 82, 95 2 Read, make tally charts Lessons: 32, 113, Make bar graphs Lessons: 2, 31, 39, 48, 113, 125 2, 134, 135 Represent data on a graph Lessons: 2, 17, 31, 39, 48, 66, 82, 105 2, 113, 120 2, 125 2, 126, 134, 135 Graph points on a coordinate graph Lessons: 126 Make Venn diagrams Lessons: 48, 66 2.M Use tally marks to represent data. Read, make tally charts Lessons: 32, 113, Goal 5.3: Apply simple statistical measurements.

16 No objectives at this grade level. Goal 5.4: Understand basic concepts of probability. No objectives at this grade level. Goal 5.5: Make predictions or decisions based on data. No objectives at this grade level.

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