ROCKY FORD CURRICULUM GUIDE SUBJECT: Math Grade Level Expectation Evidence Outcome 3. Multiplication and division are inverse operations and can be modeled in a variety of ways a. Represent and solve problems involving multiplication and division. i. Interpret products of whole numbers. M 3. Multiplication and division are inverse operations and can be modeled in a variety of ways 3. Multiplication and division are inverse operations and can be modeled in a variety of ways TIMELINE: 3rd Quarter GRADE: 3rd Student-Friendly Learning Objective Level of Thinking We will interpret the products of whole numbers. Appl interpret, products, factor ii. Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities. I We will solve multiplication and division word problems within 100 involving equal groups, arrays, and measurement quantities. Appl equal groups, arrays, product, factor, quotient iii. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. I We will determine the unknown whole number in a multiplication or division equation relating the three whole numbers. Appl We will apply the commutative and associative properties to multiplication and division. Appl b. Apply properties of multiplication and the relationship between multiplication and division. i. Apply properties of operations as strategies to multiply and divide. I c. Solve problems involving the four operations, and identify and explain patterns in arithmetic. i. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. © Learning Keys, 800.927.0478, www.learningkeys.org We will determine if the answer is reasonable using mental math and estimation. Eval Resource Correlation Academic Vocabulary determine, unknown number, equation, whole number multiply, divide, commutative, associative, properties, product, factors, quotient, operation Ex: Use estimation strategies to determine the reasonableness of solutions to problems Determine, reasonable, mental math, estimate, round, place value Page 1 ROCKY FORD CURRICULUM GUIDE SUBJECT: Math Grade Level Expectation TIMELINE: 3rd Quarter GRADE: 3rd Evidence Outcome iv. Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. C Student-Friendly Learning Objective We will identify and extend patterns, including multiplication, and explain the rule. Level of Thinking Comp Resource Correlation Ex: Determine from real world problems, whether an estimated or exact sum, difference, or product is acceptable. Academic Vocabulary patterns, explain, input/output table, explain, Ex: Reproduce, extend, and create patterns, using pictures or geometric shapes. Ex: Given numbers in a table, extend the table. Ex: Use a pattern to find missing elements (for example, multiples of 2, 3, 4, 5, 10). Ex: Identify a rule using addition or subtraction patterns and solve a new problem using the rule. (ex. Observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends) 1. Geometric figures are described by their attributes a. Reason with shapes and their attributes. © Learning Keys, 800.927.0478, www.learningkeys.org Ex: Identify figures which are congruent. Line, right angle, obtuse angle, acute angle, line segment, quadrilateral, polygon, attributes Page 2 ROCKY FORD CURRICULUM GUIDE SUBJECT: Math Grade Level Expectation TIMELINE: 3rd Quarter GRADE: 3rd Evidence Outcome i. Explain that shapes in different categories may share attributes and that the shared attributes can define a larger category. I 1. Identify rhombuses, rectangles, & squares as examples of quadrilaterals, & draw examples of quadrilaterals that do not belong to any of these subcategories. I ii. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. M Identify a line of symmetry for regular polygons and other familiar objects. © Learning Keys, 800.927.0478, www.learningkeys.org Student-Friendly Learning Objective Level of Thinking We will explain how shapes in different categories may share attributes and that the shared attributes can define a larger category. Comp We will identify and draw rhombuses, rectangles, and squares as examples of quadrilaterals. We will identify lines of symmetry for regular polygons and other familiar objects. Academic Vocabulary Quadrilateral, rhombus, rectangle, square, angles, parallelogram, Appl We will draw examples of quadrilaterals that do not belong in the subcategories rhombus, rectangle, or square. We will divide shapes into equal parts and express the area of each part as a fraction of the whole. Resource Correlation Ex: Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). equal parts, fraction, numerator, denominator Appl Appl Ex: Identify the characteristics of twodimensional figures (for example, number of sides or vertices, contains a right angle, and contains parallel sides). Ex: Create a figure with at least one line of symmetry. Page 3 ROCKY FORD CURRICULUM GUIDE SUBJECT: Math TIMELINE: 3rd Quarter GRADE: 3rd Grade Level Expectation Evidence Outcome 2. Linear and area measurement are fundamentally different and require different units of measure a. Use concepts of area and relate area to multiplication and to addition. i. Recognize area as an attribute of plane figures and apply concepts of area measurement. M Level of Thinking Resource Correlation Academic Vocabulary We will recognize area as a measurement for plane figures and count the square units to find the area. Appl area, plane figure, length, width, square units ii. Find area of rectangles with whole number side lengths using a variety of methods. M We will find the area of rectangles by multiplying or counting the square units. Comp area, length, width, multiply, figure, square units iii. Relate area to the operations of multiplication and addition and recognize area as additive. M We will relate area to the operations of multiplication and addition and recognize area as additive. Appl area, additive, length, width, multiply Comp perimeter, linear, area, plane figure Know Perimeter, length 2. Linear and area measurement are fundamentally different and require different units of measure b. Describe perimeter as an attribute of plane figures and distinguish between linear and area measures. I 2. Linear and area measurement are fundamentally different and require different units of measure c. Solve real world and mathematical problems involving perimeters of polygons. i. Student-Friendly Learning Objective Find the perimeter given the side lengths. M We will describe the perimeter of plane figures and tell the difference between linear and area measures. We will find the perimeter with side lengths given. perimeter, figure © Learning Keys, 800.927.0478, www.learningkeys.org Page 4 ROCKY FORD CURRICULUM GUIDE SUBJECT: Math Grade Level Expectation Evidence Outcome Student-Friendly Learning Objective Level of Thinking ii. We will find the unknown side length when given the perimeter of the figure. Appl Find an unknown side length given the perimeter. M iii. 3. Time and attributes of objects can be measured with appropriate tools TIMELINE: 3rd Quarter GRADE: 3rd Find rectangles with the same perimeter and different areas or with the same area and different perimeters. I We will contrast rectangles with the same perimeter and different areas or with the same area and different perimeters. © Learning Keys, 800.927.0478, www.learningkeys.org Academic Vocabulary unknown, length perimeter, area, figure, compare Analysis a. Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. iv. Use models to add, subtract, multiply, or divide to solve onestep word problems involving masses or volumes that are given in the same units. M Resource Correlation Ex: Measure and estimate lengths in standard units. We will use models to add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units. Appl mass, volume, grams, kilograms, liters, models, four operations Page 5