# Understanding Addition and Subtraction Strategies Unit

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1 Understanding Addition and Subtraction Strategies Unit PA EC: M3.D E: Extend or find a missing element in a pattern of numbers. *Pattern must show 3 repetitions *When multiples are used limit to 2, 3, and 5. PA EC: M3.D E: Identify and describe the rule for a number pattern shown. *Pattern must show 3 repetitions PA CC: B.2 CC: 2.NBT.2 E: Skip count by 5, 10, and 100. CC: 2.MD.6 PA CC: A.2 PA EC: M3.A CC: 2.NBT.5 E: Find a number (0-100) on a number line. Add or subtract another number and find the sum or difference on a number line. E: Demonstrate the inverse relationship between addition and subtraction using fact families, properties of operations, and strategies based on place value. (Part-Part-Whole) PA CC: A.2 E: Use mental strategies to add and subtract within 20. PA EC: M3.D CC: 2.OA.1 PA EC: M3.D CC: 2.OA.1 PA EC: M3.A PA EC: M3.A PA EC: M3.A CC: 2.OA.1 E: Find a missing number that makes a number sentence true. (Part-Part-Whole) *1-digit using + and - E: Identify the missing symbol that makes a number sentence true. *Symbols to use: +,-,= E: Choose the number sentence that matches a given story. *One operation *+ and - only E: Create or match a story to a given combination of symbols and numbers. *Symbols to use: =,-,+ E: Identify the correct operations to solve a word problem. *No more than 2 operations using addition and subtraction. *Solve 2 question problems by using the answer to the first question to answer the second question.

2 Place Value to 1,000 Unit of Study: PART 1 (Numbers to 100) PA CC: B.1 PA CC: B.2 PA EC: M3.A CC: 2.NBT.3 PA EC: M3.A CC: 2.NBT.3 PA EC: M3.A CC: 2.NBT.3 PA EC: M3.A CC: 2.OA.3 PA EC: M3.A CC: 2.OA.3 PA EC: M3.A CC: 2.OA.3 E: Understand the concepts of tens and ones. E: Use place value concepts to read and write numbers. E: Identify numbers in standard form to 99. E: Identify numbers in word form to 99. E: Identify numbers in expanded form to 99. E: Differentiate between and give examples of even and odd numbers. *Limit to two digits. E: Differentiate between and give examples of even and odd numbers. *Pairing objects by counting by 2 s. E: Differentiate between and give examples of even and odd numbers. *Write an equation to express an even number as a sum of equal addends.

3 Place Value to 1,000 Unit of Study: PART 2 (Numbers to 1,000) PA CC: B.1 PA CC: B.2 PA EC: M3.A CC: 2.NBT.1a CC: 2.NBT.1b PA CC: B.1 PA CC: B.2 CC: 2.NBT.3 PA CC: B.1 PA CC: B.2 CC: 2.NBT.3 PA CC: B.1 PA CC: B.2 CC: 2.NBT.3 CC: 2.NBT.2 E: Count within 1,000. E: Match a symbolic representation of three digit numbers to appropriate whole numbers. (Example: 706 equals 7 hundreds, 0 tens, 6 ones) *Use base ten blocks *100 can be thought of as a bundle of ten tens-called a Hundred *The numbers ( ) refer to (one-nine) hundreds and 0 tens and 0 ones. *Place value models to 1,000) E: Identify numbers up to 1,000 in standard form. E: Identify numbers up to 1,000 in expanded form. E: Identify numbers up to 1,000 in word form. CC: 2.NBT.2 E: Skip count by 1,000. PA CC: B.1 PA EC: M3.A CC: 2.NBT.4 PA EC: M3.A E: Compare two 3-digit whole numbers using greater than (>), less than (<), and equal to (=) up through 999 based on the meanings of the hundreds, tens, and ones digit. E: Order a set of whole numbers from least to greatest or greatest to least up to 999.

4 Adding Two and Three Digit Numbers Unit of Study PA EC: M3.A E: Round Two Digit numbers to the nearest ten. (Limit to two numbers) PA CC B.1 F: Round three digit whole numbers to the nearest 100. PA EC: M3.A PA CC: A.1 PA EC: M3.A PA EC: M3.A PA CC: A.1 PA EC: M3.A PA EC: M3.A E: Estimate sums of quantities. E: Solve double digit plus single digit without regrouping in vertical and horizontal form. *Use concrete models or drawings and strategies based on place value, properties of operations, and /or relationship between addition and subtraction (inverse operation to check work). E: Solve double digit plus double digit without regrouping in vertical and horizontal form. *Use concrete models or drawings and strategies based on place value, properties of operations, and /or relationship between addition and subtraction (inverse operation to check work). PA CC: A.1 PA EC: M3.A PA EC: M3.A CC: 2.NBT.9 CC: 2.MD.6 PA CC: A.1 CC: 2.NBT.6 E: Solve double digit plus single digit and double digit plus double digit with regrouping in vertical and horizontal form. *Use concrete models or drawings and strategies based on place value, properties of operations, and /or relationship between addition and subtraction (inverse operation to check work). E: Use place value to explain why addition and subtraction strategies work, using place value and the properties of operations. E: Find a number (0-100) on a number line. Add another number and find the sum on the number line. E: Add up to four two-digit numbers using strategies based on place value and properties of operations.

5 Adding Two and Three Digit Numbers Unit of Study PA EC: M3.D PA CC: A.2 CC: 2.NBT.8 PA CC: A.1 CC: 2.OA.1 PA CC: A.1 PA EC: M3.A PA EC: M3.A E: Find a missing numbers that makes a number sentence true. *two digit numbers up to 18 using + E: Mentally add 10 or 100 to a given number of E: Use addition to solve one and two step word problems involving situations of adding to, putting together, and comparing. E: Solve triple digit problems in addition with and without regrouping in vertical and horizontal form. *Use concrete models or drawings and strategies based on place value, properties of operations, and /or relationship between addition and subtraction (inverse operation to check work). E: Understand that in adding three digit numbers, one adds hundreds and hundreds, tens and tens, ones and ones; sometimes necessary to compose/decompose tens or hundreds.

6 Subtracting Two and Three Digit Numbers Unit of Study PA EC: M3.A PA EC: M3.A CC: 2.NBT.9 PA EC: M3.D PA EC: M3.A PA EC: M3.A PA EC: M3.A PA CC: A.1 CC: 2.OA.1 PA CC: A.2 CC: 2.NBT.8 PA EC: M3.D E: Solve double digit problems in subtraction with and without regrouping in vertical and horizontal form. *Use concrete models or drawings and strategies based on place value, properties of operations, and/or relationship between addition and subtraction (use inverse relationship to check work). E: Use place value to explain why subtraction strategies work. E: Find a missing number that makes a number sentence true. *Two digit numbers up to 18. E: Estimate differences of quantities: *Round two digit numbers to the nearest 10 (limit to two numbers). E: Solve triple digit problems in subtraction with and without regrouping in vertical and horizontal form. *Use concrete models or drawings and strategies based on place value, properties of operations, and /or relationship between addition and subtraction (inverse operation to check work). E: Use subtraction within 100 to solve one and two step word problems involving situation of taking from, taking apart, and comparing. E: Understand that in subtracting three digit numbers, one subtracts hundreds and hundreds, tens and tens, and ones and ones; and sometimes it is necessary to compose or decompose tens and hundreds. E: Mentally subtract 10 or 100 from a given number of F: Identify the missing symbol that makes a number sentence true. <,>,= Example: Which symbols makes the sentence true?

7 Money Unit of Study PA CC: B.2 CC: 2.NBT.2 E: Skip count by 5 s and 10 s. PA EC: M3.A PA CC: A.3 CC: 2.MB.8 PA EC: M3.A PA EC: M2.A E: Count a collection of bills and coins less than \$1.00 (penny, nickel, dime, quarter, and dollar). Money may be represented as 15 cents, \$0.15, 15 E: Use the dollar and cents sign appropriately. F: Count a collection of bills and coins less than \$5.00 (penny, nickel, dime, quarter, dollar). E: Using pictures and/or manipulatives, compare the total value of coin combinations to determine the greater or less amount shown in values up to \$1.00. PA EC: M2.A F: Using pictures and/or manipulatives, compare the total value of coin combinations to determine the greater or less amount shown in values up to \$5.00. PA CC: A.3 CC: 2.MB.8 PA EC: M2.A PA CC: A.3 CC: 2.MB.8 F: Add and Subtract Money F: Make change for an amount up to \$1.00 with no more than \$0.99 change given (penny, nickel, dime, quarter). E: Solve word problems including dollar bills, quarters, dimes, nickels, and pennies.

8 Geometry Unit of Study PA EC: M3.C CC: 2.G.1 PA EC: M3.C PA EC: M3.C CC: 2.G.1 CC: 2.G.1 CC: 2.G.1 PA EC: M3.C PA EC: M3.C E: Name, identify, draw, and describe geometric shapes in two-dimensions (circle, triangle, square, rectangle, quadrilaterals, pentagons, and hexagons). F: Name, identify and describe geometric shapes in two dimensions (octagon). E: Name, identify, and describe geometric solid shapes in three-dimensions (sphere, cube, cylinder, cone, pyramid, rectangular prism). E: Identify solid figures by their faces, edges, vertices, number of angles. F: Identify congruent shapes. E: Draw one line of symmetry in a basic two-dimensional figure. F: Identify symmetrical two-dimensional shapes. F: Recognize and apply translations (slide), reflections (flip), and rotations (turn) to geometric shapes.

9 Fractions Unit of Study PA CC: A.2 CC: 2.G.3 PA CC: A.2 CC: 2.G.3 PA CC: A.2 PA EC: M3.A PA CC: A.2 PA EC: M3.A PA CC: A.2 PA EC: M3.A E: Recognize that equal shares of identical wholes need not have the same shape. E: Partition shapes in 2,3,4, equal shares and describe the shares using the words halves, third, half of, a third of, etc. E: Write fractions that correspond to a drawing or part of a set. *Using the numerator 1 and denominators 2-4. E: Create a drawing or set that represents a given fraction using the numerator 1 and denominators 2-4. F: Create a drawing or set that represents a given fraction using the numerators 1-9 and denominators 2-10.

10 PA EC: M3.B PA EC: M3.B CC: 2.MD.1 PA EC: M3.B PA EC: M03.D-M PA EC: M3.B CC: 2.MD.1 PA EC: M3.B CC: 2.MD.1 PA EC: M3.B CC: 2.MD.1 PA EC: M3.B CC: 2.MD.1 PA EC: M3.B CC: A.5 CC: A.6 Measurement Unit of Study E: Choose an appropriate unit of measure for the object being measured (length, weight, capacity). Attributes E: Measure to the nearest inch using the appropriate tool. E: Use and read a ruler to measure to the nearest half inch. F: Use and read a ruler to measure to the nearest quarter inch. E: Use and read a ruler to measure to the nearest foot. E: Use and read a yardstick/measuring tape to measure to the nearest yard. E: Use and read a ruler to measure to the nearest centimeter. E: Use and read a meter stick/measuring tape to measure to the nearest meter. F: Match the object with its approximate measurement. *All measurements must be in the same system. *Ex: About how tall is a pop can? 5 inches, 5 feet, 5 yards *Ex: About how much does a pencil weigh? 1 ounce, 1 gram, 1 pound F: Determine the area of a rectangle. F: Determine the perimeter of a rectangle.

11 Measurement Unit of Study CC: 2.MD.4 CC: 2.MD.3 CC: 2.MD.9 PA CC: A.6 CC: 2.MD.5 PA EC: M3.B PA CC: A.1 PA EC: M4.B CC: 3.MD.2 PA CC EC: M03.D-M PA CC: A.1 PA EC: M4.B CC: 3.MD.2 PA CC EC: M03.D-M PA CC: A.1 PA EC: M4.B CC: 3.MD.2 PA CC EC: M03.D-M E: Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit. E: Estimate lengths and heights of objects using centimeters, meters, inches, and feet. E: Generate data by measuring lengths of several objects to the nearest whole unit. Make a line plot to show measurements. E: Use addition and subtractions within 100 to solve problems involving lengths that are given in the same units. F: Compare and order objects according to length. F: Estimate and measure capacity: cup, pint, quart, gallon, liters. F: Estimate and measure weight: ounce, pound, ton, gram. F: Compare and order objects according to weight and capacity.

12 Time and Temperature Unit of Study PA EC: M3.B CC: 2.MD.7 PA CC: A.2 PA EC: M3.B CC: 2.MD.7 PA EC: M3.B PA EC: M3.B PA CC: A.2 PA EC: M3.B PA CC: A.2 PA EC: M3.B PA CC: A.1 E: Identify times of day as a.m. and p.m. E: Tell and show time to the nearest five minutes on an analog and digital clock using a.m. and p.m. E: Tell and show time to the quarter and half hour on an analog and digital clock using a.m. and p.m. *Use language such as half past, quarter after, quarter till F: Tell and show time to the minute on an analog and digital clock using a.m. and p.m. E: Find elapsed time to increments of one hour. F: Find elapsed time to increments of quarter and half hour. E: Read a thermometer in both Celsius and Fahrenheit in 10 degree increments.

13 Graphing Unit of Study PA CC: A.4 PA EC: M3.E CC: 2.MD.9 E: Identify different types of graphs, charts, tables *Horizontal bar graph, vertical bar graph, pictograph, line plot, tally chart, table, etc. PA EC: M3.E PA CC: A.4 PA EC: M3.E CC: 2.MD.10 CC: 2.MD.9 PA CC: A.4 PA EC: M3.E CC: 2.MD.10 PA CC: A.4 PA EC: M3.E PA: J E: Translate information from one type of display to another. *Ex: Convert a tally chart to a horizontal/vertical bar graph. E: Create a graph using the provided data (up to four categories). *Displays should include using tables, charts, bar graphs, line plots, and pictographs; both horizontal and vertical. E: Describe, interpret, and answer questions (put together, take apart, compare) based on data shown in charts, tables, and graphs. E: Analyze data shown on tables, charts, or bar graphs using the concepts of largest, smallest, most often, and least often. E: Locate and name points on a coordinate grid.

14 Multiplication Unit of Study PA CC: A.3 E: Work with equal groups of objects to gain foundations for multiplication. *Repeated addition with arrays

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