Course Title: Math Grade Level: Second

Course Title: Math Grade Level: Second Math - Second Page 1 2.1 Numbers, Number Systems and Number Relationships: A. Count using whole numbers (to 10,000) and by 2 s, 3 s, 5 s, 10 s, 25 s and 100 s. B. Use whole numbers and fractions to represent quantities. C. Represent equivalent forms of the same number through the use of concrete objects, drawings, word names, and symbols. D. Use drawings, diagrams, or models to show the concept of fraction as part of a whole. 1. Recognize and count whole numbers to 1,000. 2. Count by 2 s, 5 s, and 10 s to 1,000. 3. Count by 3 s and 4 s. 1. Recognize a fraction of a set of objects. 2. Identify halves, thirds, and fourths of a set of objects. 3. Record appropriate fractional numbers for a set of objects. 1. Write numbers 0 to 1,000. 2. Recognize the numbers for the number words 20 to 100. 3. Read and identify Roman numerals. 4. Identify and create equivalent forms of the same number. 1. Recognize fractions of a region and record appropriate fractional numbers of a given set. A. Everyday Math Lessons 1.1, 1.4, 1.8, 1.10, 3.7, 7.1, Scroll, Frames and Arrows B. Everyday Math Lessons 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8 C. Everyday Math Lessons 1.1, 1.4, 1.10, 1.11, 2.9, Name Collection Box D. Everyday Math Lessons 8.3, 8.4, 8.5, 8.6, 8.8

E. Count, compare and make change using a collection of coins and one-dollar bills. F. Apply number patterns (even and odd) and compare values of numbers on the hundred board. G. Use concrete objects to count, order, and group. H. Demonstrate understanding of one-toone correspondence. I. Apply place-value concepts and numeration to counting, ordering and grouping. 1. Identify the names and values of a penny, nickel, dime, quarter, half dollar, and dollar bill. 2. Count a mixed set of coins using pennies, nickels, dimes, and quarters. 3. Compare values of sets of money containing different coins. 4. Make conversions of money values (10 dimes = one dollar, 5 nickels = 1 quarter). 5. Recognize and use money symbols (cent sign, dollar sign, and decimal point). 6. Make change from $1.00 to $10.00. 1. Recognize and complete whole number odd and even patterns. 2. Recognize and write the symbols of inequality and equality when comparing 2 numbers between 0 and 1,000. 1. Use concrete objects to count, order, and group up to 1,000. 1. Express relationships of coins in fractional terms. 2. Relate the value of one coin to a set of coins. 1. Recognize and write ordinal numbers first (1 st ) to thirty-first (31 st ). 2. Identify the place value of 1, 2, 3, and 4 digit numbers. 3. Recognize zero as a placeholder. 4. Identify place value through expanded notation up to 1,000. Math - Second Page 2 E. Everyday Math Lessons 1.6, 3.4, 3.7, 3.8, 4.3, 4.5, 4.6, 5.2, 5.3, 10.1, 10.2, 10.3, 10.4, 10.6, Money Exchange Game F. Everyday Math Lessons 1.8, 1.12, 4.5 G. Everyday Math Lessons 3.1, 10.8, Base 10 Blocks H. Everyday Math Lessons 10.1, 10.2 I. Everyday Math Lessons 1.3, 1.9, 3.1, 3.2, 3.4, 10.8, 10.9, 10.10, 10.11, Number Grid, Base 10 Blocks

J. Estimate, approximate, round, or use exact numbers as appropriate. K. Describe the inverse relationship between addition and subtraction. L. Demonstrate knowledge of basic facts in four basic operations. 1. Round to the nearest ten. 2. Estimate numbers with the hundreds up to one thousand. 1. Add to check subtraction of 2-digit numbers. 2. Recognize and compute families of facts. 3. Recognize the inverse relationship between subtraction facts and addition facts. 1. Add and subtract basic facts. 2. Recognize and use the terms addend, sum, subtrahend, and difference. 3. Identify and use +, -, x, :, and = symbols. 4. Recognize and use the property of commutative addition and multiplication. 5. Identify the relationship between multiplication and repeated addition. 6. Identify the relationship between division and repeated subtraction. Math - Second Page 3 J. Everyday Math Lessons 4.5, 4.8, 4.9, 6.1, 6.4, 6.10, 6.11, 7.3, 7.4, 10.5 K. Everyday Math Lessons 2.6, 2.8 L. Everyday Math Lessons 1.12, 2.3, 2.4, 6.5, 6.8, 6.9, 6.10, Basic Fact Table, Fact Triangles, Turn Around Facts

Page 4 2.2 Computation and Estimation: A. Apply addition and subtraction situations using concrete objects. B. Solve single and double digit addition and subtraction problems with regrouping in vertical form. C. Demonstrate concept of multiplication as repeated addition and arrays. D. Demonstrate concept of division as repeated subtraction and as sharing. E. Use estimation skills to arrive at conclusions. 1. Create and solve addition and subtraction problem solving situations using concrete objects. 1. Find sums and differences of 1, 2, and 3 digit numbers with and without regrouping in vertical form. 2. Find sums of three 2 digit numbers with and without regrouping in vertical form. 3. Compute mixed addition and subtraction exercises with and without regrouping in vertical form. 4. Find sums and differences in dollars and cents to $1.00. 1. Write a number sentence for an array. 2. Create array models for multiplication facts. 3. Draw arrays for problem solving situations using multiplication. 1. Solve division facts through repeated subtraction. 2. Solve equal-sharing problem solving stories. 1. Estimate quantities of measurement and money. 2. Estimate a reasonable answer for 2- digit whole number addition and subtraction problems. A. Everyday Math Lessons 1.3, 2.1, Dice B. Everyday Math Lessons 2.8, 2.11, 2.13, 4.8, 4.9, 6.1, 6.4, 6.5 C. Everyday Math Lessons 6.7, 6.8, 6.9, 6.10 D. Everyday Math Lessons 6.7, 6.11, 7.6, 8.1 E. Everyday Math Lessons 7.3, 7.6, 8.2, 10.6, Project 8

F. Determine the reasonableness of calculated answers. G. Explain addition and subtraction algorithms and regrouping. 1. Use estimation to check the accuracy of an answer. 1. Use manipulatives to explain 2 and 3 digit addition and subtraction to 1,000. Math - Second Page 5 F. Everyday Math Lessons 7.3, 7.4, 7.6, 8.2, 10.6 G. Everyday Math Lessons 1.13, 2.1, 2.6

Page 6 2.3 Measurement and Estimation: A. Compare measurable characteristics of different objects on the same dimensions (time, temperature, area, length, weight, capacity, and perimeter). B. Determine the measurement of objects with non-standard and standard (e.g., US customary and metric) units. 1. Compare measurable characteristics of different objects on the same dimensions (time, area, capacity and perimeter). 1. Choose an appropriate unit of measurement to measure objects. C. Determine and compare elapsed times. 1. Compare elapsed time in a day, a week, a month and a year. D. Tell time (analog and digital) to the 1. Tell and write time to five-minute minute. intervals (analog and digital). E. Determine appropriate unit of measure. 1. Determine the appropriate unit when measuring volume and distance. F. Use concrete objects to determine area 1. Use concrete objects to measure and perimeter. perimeter and area. G. Estimate and verify measurements. 1. Estimate and verify measurements using the appropriate unit when measuring height, volume and distance. H. Demonstrate that a single object has different attributes that can be measured in different ways (e.g., length, mass/weight, time, area, temperature, capacity and perimeter). 1. Show that an object can be measured in time, area, temperature, capacity and perimeter. A. Everyday Math Lessons 1.13, 2.7, 4.3, 4.7, 5.1, 7.6, 9.7, 10.7 B. Everyday Math Lessons 7.2, 7.8, 9.1, 9.2, 9.3, 9.4, 9.5 C. Everyday Math Lessons 12.1, 12.2, 12.3, Project 3 (PM 3-4) D. Everyday Math Lessons 3.3, 5.1, 12.1, 12.2 E. Everyday Math Lessons 8.2, 9.1, 9.4, Project 6 F. Everyday Math Lessons 9.4, 9.5, 9.8 G. Everyday Math Lesson 9.6 H. Everyday Math Lessons 9.8, 9.9, 9.10, 9.11, Literature Connection: Measuring Penny

Page 7 2.4 Mathematical Reasoning and Connections: A. Make, check, and verify predictions about the quantity, size and shape of objects and groups of objects. B. Use measurements to determine the geography of the school building. 1. Make, check and verify predictions by collecting, organizing, ordering, recording data and graphing. 1. Use measurements to determine the length and perimeter of locations within the school building. A. Everyday Math Lessons 3.5, 6.3, 7.7, 12.7, Project 10 B. Everyday Math Lesson 9.1

Page 8 2.5 Mathematical Problem Solving and Communication: A. Use appropriate problem solving strategies such as guess and check and working backwards. B. Determine when sufficient information is present to solve a problem and explain how to solve a problem. C. Select and use an appropriate method, materials and strategy to solve problems, including mental mathematics, paper and pencil, and concrete objects. 1. Create and solve multiple-step addition and subtraction story problems. 1. Identify facts to determine if there is sufficient information to explain and solve the problem. 1. Recognize and solve multi-step addition and subtraction story problems using an appropriate method. 2. Mentally solve addition and subtraction story problems. 3. Use multiplication to solve a story problem. A. Everyday Math Lessons 1.12, 2.1, 2.6, 2.9, 4.1, 4.2, 6.4 B. Everyday Math All Units C. Everyday Math Lessons 8.1, 11.10

Page 9 2.6 Statistics and Data Analysis: A. Gather, organize and display data using pictures, tallies, charts, bar graphs, and pictographs. B. Formulate and answer questions based on data shown on graphs. C. Predict the likely number of times a condition will occur based on the analyzed data. D. Form and justify an opinion on whether a given statement is reasonable based on a comparison to data. 1. Gather, organize and display data using tallies and charts to create pictographs and bar graphs. 1. Formulate and answer questions to compare and interpret data shown on pictographs, bar graphs and time lines. 1. Predict and interpret the likely number of times a condition will occur using a variety of manipulatives. 1. Form and justify an opinion on whether a given statement is reasonable, based on a comparison of data on charts, pictographs and bar graphs. A. Everyday Math Lessons 3.5, 3.6, Unit 7, 11.9, Projects 2, 4, 6, 7 B. Everyday Math Lessons 3.6, 7.3, 7.9 C. Everyday Math Lesson 7.9 D. Everyday Math Lessons 6.3, 12.6, Projects 2, 6

Page 10 2.7 Probability and Predictions: A. Predict and measure the likelihood of events and recognize that the results of an experiment may not match predicted outcomes. 1. Predict the likelihood of events and verify predictions using an experiment. B. Design a fair and an unfair spinner. 1. Determine if a spinner is fair and unfair. C. List or graph the possible results of an experiment. 1. Graph the possible results of an experiment. D. Analyze data using the concepts of 1. Summarize data using the concepts of largest, smallest, most often, least often largest, smallest, most often, least often and middle. and middle. A. Everyday Math Lesson 9.1, Projects 2, 6 C. Everyday Math Lessons 6.3, 12.6, Projects 2, 4, 6 D. Everyday Math Lessons 3.5, 7.8, 11.9, 12.6, 12.7

Page 11 2.8 Algebra and Functions: A. Recognize, describe, extend, create and replicate a variety of patterns including attribute, activity, number and geometric patterns. B. Use concrete objects, and trial and error, to solve number sentences and checks if solutions are sensible and accurate. C. Substitute a missing addend in a number sentence. D. Create a story to match a given combination of symbols and numbers. E. Use concrete objects and symbols to model the concepts of variables, expressions, equations, and inequalities. F. Explain the meaning of solutions and symbols. G. Gather information and display it in the form of a table or a chart. H. Describe and interpret the data shown in tables and charts. 1. Recognize, describe, extend, create and replicate a variety of patterns including attribute, activity, number and geometric patterns. 1. Use concrete objects and trial and error to solve equations and check if solutions are sensible and accurate. 1. Complete an addition sentence with a missing addend in a number sentence. 1. Create a single-step story to match a given combination of symbols and numbers. 1. Use concrete objects, pictures and numbers to show the concepts of variables, expressions, equations, and inequalities. 1. Identify a missing symbol and solution in a number sentence. 1. Gather, tally, order, information and display it on a frequency table. 1. Describe and interpret the data shown in tables and charts to find the middle value (median) and most frequent value (mode). A. Everyday Math Lessons 1.1, 1.2, 1.4, 1.8, 1.9, 1.11, 5.1, 5.2 B. Everyday Math Lessons 1.10, 1.11, 2.9 C. Everyday Math Lessons 2.4, 6.1, 6.2, 6.4, 6.11, 6.12, 11.1 D. Everyday Math Lessons 2.1, 4.1, 4.2 E. Everyday Math Lessons 2.1, 4.1, 4.2 F. Everyday Math Lessons 2.11, 4.8, 11.10 G. Everyday Math Lessons 7.9, 12.7 H. Everyday Math Lessons 12.6, 12.7

Page 12 I. Demonstrate simple function rules. 1. Show simple function rules for operations with addition, subtraction, multiplication and division. J. Analyze simple functions and relationships and locate points on a simple grid. 1. Use pictures to locate point on a simple grid. I. Everyday Math Lessons 2.11, 4.8, 9.9 J. Everyday Math Lessons 7.9, 9.8, 12.7

Page 13 3RD GRADE STATE STANDARDS STUDENT PERFORMANCES STRATEGI ES, ACTIVITIES, AND 2.9 Geometry: A. Name and label geometric shapes in two and three dimensions (circle/sphere, square/cube, triangle/pyramid, rectangle/prism). B. Build geometric shapes using concrete objects (manipulatives). C. Draw two and three-dimensional geometric shapes and construct rectangles, squares and triangles on the geoboard and on graph paper satisfying specific criteria. D. Find and describe geometric figures in real life. E. Identify and draw lines of symmetry in geometric figures. 1. Create and label two and threedimensional shapes. 1. Use manipulatives to construct threedimensional shapes using twodimensional shapes (faces). 1. Draw two and three-dimensional shapes and construct rectangles, squares, and triangles on graph paper. A. Everyday Math Lessons 1.2, 3.4, 4.3, 5.3, 5.6, 5.7, 5.8, 7.6 B. Everyday Math Lessons 5.8, 10.7 C. Everyday Math Lessons 5.2, 5.4 1. Find and describe geometric figures in D. Everyday Math Lesson 5.7 real life. 1. Draw lines of symmetry in geometric E. Everyday Math Lessons 5.9, 5.10 figures. F. Identify symmetry in nature. 1. Find and describe symmetry in nature. F. Everyday Math Lesson 5.9 G. Fold paper to demonstrate the reflections about a line. H. Show relationships between and among figures using reflections. I. Predict how shapes can be changed by combining or dividing them. 1. Fold paper to demonstrate the reflections about a line. 1. Show relationships between and among figures using reflections. 1. Create shapes and predict how shapes can be changed by combining or dividing them. G. Everyday Math Lesson 5.9, Projects 1, 8 H. Everyday Math Lesson 5.9, Project 5 I. Everyday Math Lesson 5.6

Page 14 3RD GRADE STATE STANDARDS STUDENT PERFORMANCES STRATEGI ES, ACTIVITIES, AND 2.10 Trigonometry: A. Identify right angles in the environment. 1. Categorize polygons according to the number of angles. B. Model right angles and right triangles 1. Identify angles and triangles in a using concrete objects. variety of polygons. A. Everyday Math Lesson 5.3 B. Everyday Math Lesson 5.3

Page 15 3RD GRADE STATE STANDARDS STUDENT PERFORMANCES STRATEGI ES, ACTIVITIES, AND 2.11 Concepts of Calculus: A. Identify whole number quantities and measurements from least to most and greatest value. B. Identify least and greatest values represented in bar graphs and pictographs. C. Categorize rates of change as faster and slower. D. Continue a pattern of numbers or objects that could be extended infinitely. 1. Place numbers in order from least to greatest and vice versa to 1,000. 1. Identify whole number quantities and measurements from least to most using a bar graph and pictograph. 1. Use multiple objects to determine which will move at a faster or slower rate. 1. Identify, describe, and extend repeating and continuing number patterns. A. Everyday Math Lessons 1.8, 1.9, 1.11 B. Everyday Math Lessons 3.5, 3.6, 7.3, 7.9, 12.7 D. Everyday Math Lessons 1.1, 1.4, 1.8, 1.9, 1.11