 # Grade 3 Mathematics Curriculum Guides

 Wisconsin Mathematics Standard MPS Learning Target Wisconsin Assessment Descriptors for Mathematics (For Beginning Grade 4) Curriculum Throughout The Year A. Mathematical Processes Note: Mathematical processes need to be embedded in all mathematical strands throughout the school year. Math processes are assessed on the WKCE-CRT and reported as a separate proficiency area. For example, students are asked to provide written justifications and explanations, pose problems, and represent concepts 1) Reasoning: Use reasoning and logic to: • Perceive patterns • Identify relationships • Formulate questions • Pose problems • Make conjectures • Justify strategies • Test reasonableness of results2) Communication: Communicate mathematical ideas and reasoning using the vocabulary of mathematics in a variety of ways (e.g., using words, numbers, symbols, pictures, charts, tables, diagrams, graphs, and models). 3) Connections: Connect mathematics to the real world as well as within mathematics. 4) Representations: Create and use representations to organize, record, and communicate mathematical ideas. 5) Problem Solving: Solve and analyze routine and non-routine problems

 Time Curricular Connections Units/Lessons MPS Learning Targets Wisconsin State Framework Assessment Descriptors Connections District Model CABS April13 teaching dayMay 27 teaching days *The time allotted and the emphasis on this lesson are at the discretions of the teacher. These sub-skills are beyond the parameters of the state descriptors for 3rdgrade.June 9 teaching days *The time allotted and the emphasis on this lesson are at the discretions of the teacher. These sub-skills are beyond the parameters of the state descriptors for 3rd grade. Chapter 9: Fractions and Measurement9.6 Fractions on the Number Line (NO&R) 9.7 Fractions and Sets (NO&R) 9.8 Finding Fractional Parts of a Set (NO&R) 9.9 Adding and Subtracting Fractions (NO&R) 9.10 Mixed Numbers (NO&R) 9.11 Problem-Solving Strategy: Solve a Simpler Problem (NO&R, G) 9.12 Length (M) 9.13 Measuring to the Nearest ½ and ¼ Inch (M) 9.14 Length in Feet and Inches (M) 9.15 Feet, Yards, and Miles (M) 9.16 Problem Solving Skill: Extra or Missing Information (Not in 3rdgrade Targets or Descriptors)Chapter 9: Fractions and Measurement 9.17 Problem-Solving Applications: Buttons (NO&R)Chapter 10: Decimals and Measurement 10.1 Tenths (NO&R) * 10.2 Hundredths (NO&R)* 10.3 Comparing and Ordering Decimals (NO&R)* 10.4 Adding and Subtracting Decimals (NO&R)* 10.5 Problem-Solving Strategy: Make an Organized List 10.6 Centimeters and Decimeters (M) 10.7 Meters and Kilometers (M) 10.8 Problem-Solving Skill: Writing to Explain (M, AR) 10.9 Problem-Solving Applications: Beaver Chapter 11: Multiplying and Dividing Greater Numbers 11.1 Mental Math: Multiplication Patterns (NO&R)11.2 Estimating Products (NO&R)11.3 Mental Math: Division Patterns (NO&R) 11.4 Estimating Quotients (NO&R) 11.5 Multiplication and Arrays (NO&R) 11.6 Breaking Numbers Apart to Multiply (NO&R) 11.7 Multiplying Two- Digit Numbers (NO&R) 11.8 Multiplying Three- Digit Numbers (Not in 3rd grade Targets or Descriptors) 11.9 Multiplying Money (Not in 3rd grade Targets or Descriptors) 11.10 Choose a Computation Method (Not in 3rd grade Targets or Descriptors) 11.11 Problem-Solving Strategy: Using Logical Reasoning (Not in 3rd grade Targets or Descriptors)   1.12 Using Objects to Divide (NO&R, AR) 11.13 Breaking Numbers Apart to Divide * 11.14 Dividing 11.15 Problem-Solving Skill: Interpreting Remainders * 11.16 Problem-Solving Applications: Steam Trains * Chapter 12: Measurement and Probability 12.1 Customary Units of Capacity (M) 12.2 Milliliters and Liters (M) 12.3 Problem-Solving Strategy: Work Backward (AR) 12.4 Customary Units of Weight (M) 12.5 Grams and Kilograms (M) 12.6 Temperature (M) 12.7 Describing Chances (S&P) 12.8 Fair and Unfair (S&P) 12.9 Probability (S&P) 12.10 Problem- Solving Skill: Writing to Explain Problem- Solving Applications : Dinosaur park (S&P) Number Operations and Relationships #2 Represent and use concepts of multiplication (e.g., grouping, arrays, skip counting, repeated addition) and division (i.e., sharing, measuring, repeated subtraction) to solve problems with and without context. (9.11)Number Operations and Relationships #3 Use part-whole and set models to represent, compare, and solve problems with fractions less than, equal to, and greater than one whole. (9.6, 9.7, 9.8, 9.9, 9.10, 9.11) Geometry # 4 Describe, compare, and use properties of polygons (2-D) and polyhedra (3-D) when they are combined, decomposed, and transformed (e.g., slides, flips, and turns), and identify locations of figures on a coordinate system. (9.11) Measurement #5 Use appropriate standard and nonstandard units to compare and estimate measurable attributes of objects, including area and perimeter, and make simple unit conversions within a measurement system. (9.12, 9.13, 9.14, 9.15)Measurement #6 Read and interpret customary and metric measuring instruments and determine time to the nearest minute and elapsed time in real -world situations. (9.12, 9.13, 9.14, 9.15)Measurement #5 Use appropriate standard and nonstandard units to compare and estimate measurable attributes of objects, including area and perimeter, and make simple unit conversions within a measurement system. (10.6, 10.7, 10.8) Algebraic Relationships #9 Describe, extend, and make generalizations about geometric and numeric patterns, including odd and even numbers. (10.8, 11.3, 11.5, 11.6, 11.12) Number Operations and Relationships #2 Represent and use concepts of multiplication (e.g., grouping, arrays, skip counting, repeated addition) and division (i.e., sharing, measuring, repeated subtraction) to solve problems with and without context. (11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.12)Measurement #6Read and interpret customary and metric measuring instruments and determine time to the nearest minute and elapsed time in real-world situations. (12.1, 12.2, 12.4, 12.5, 12.6) Algebraic Relationships #9 Describe, extend, and make generalizations about geometric and numeric patterns, including odd and even numbers. (12.3) Statistics & Probability #8 Determine the likelihood (e.g., more, less, or equally likely) and fairness of events, and describe and predict outcomes and combinations of simple events. (12.7, 12.8, 12.9) Number Operations and Relationships B.a:4 Count by 2s, 3s, 5s, 10s, 25s, and 100s starting with any multiple and 100s starting with any number. Identify and name counting patterns. (9.11) B.a:6 Identify a fractional part of a collection/set or parts of a whole. (9.6, 9.7, 9.8, 9.11) B.b:12 Use fractions to represent quantities when solving problems involving equal sharing or partitioning including fractions less than one as well as mixed numbers. (9.10, 9.17) B.b:13 Represent fractions with shaded circles, rods, squares or pictorial representations of objects (for a set). (9.11) B.b:15 Determine reasonableness of answers (9.11) Geometry C.a:1 Identify, describe and compare properties of 2 and 3 dimensional figures such as squares, triangles, rectangles, pentagon, hexagon, octagon, pattern block shapes, circles , cubes, pyramids, rectangular prisms, tetrahedrons, cylinders, and spheres (e.g. comparing sides, faces, corners, and edges). (9.11) C.b:3 Identify cubes and square pyramid shapes from their nets (flat patterns). (9.11) C.b:4 Apply concepts of single-motion geometry (e.g., slides, flips, and turns) to match two identical shapes. (9.11Measurement D.a:1 Describe attributes of length, time, temperature, liquid capacity, weight/mass, volume and identify appropriate units to measure them. Units include: inches, feet, yards, miles, meters, centimeters, millimeters, cups, quarts, gallons, liters, seconds, minutes, hours, days, months, years, ounces, pounds, grams and degrees Fahrenheit/Celsius. (9.12) D.a:2 Compare attributes of length, volume and weight by observation or when given actual measurements. (9.12 9.13, 9.14, 9.15) D.a:3 Make measurement conversions within a system (e.g., yards to feet; feet to inches; hours to minutes; days to hours; years to months; gallons to quarts). (9.13, 9.14, 9.15) D.b:4 Read and interpret measuring instruments to determine the measurement of objects with nonstandard and standard units to the nearest centimeter, 1/4-inch. (9.12, 9.13) D.c:9 Apply estimation techniques using non-standard units. (9.12)Measurement D.a:1 Describe attributes of length, time, temperature, liquid capacity, weight/mass, volume and identify appropriate units to measure them. Units include: inches, feet, yards, miles, meters, centimeters, millimeters, cups, quarts, gallons, liters, seconds, minutes, hours, days, months, years, ounces, pounds, grams and degrees Fahrenheit/Celsius. (10.6, 10.7, 10.8) Algebraic Relationships F.a:1 Recognize, extend, describe, create, and replicate a variety of patterns including attribute, number and geometric patterns. Such as: • Picture patterns • Patterns in tables and charts • “What’s-my-rule?” patterns • Patterns using addition and subtraction rules Focusing on relationships within patterns as well as extending patterns e.g., patterns and relationships represented with pictures, tables and charts; “what’smy- rule?” patterns using addition and subtraction rules. (11.3, 11.5, 11.6, 11.12) F.c:7 Use simple equations in a variety of ways to demonstrate the properties. (10.8) Number Operations and Relationships B.b:10 Demonstrate understanding of multiplication as grouping or repeated addition or arrays in problems with and without context (without context up to 5 x 9; in context products up to 100). (11.1, 11.2, 11.3, 11.5, 11.6, 11.7) B.b:11 Demonstrate understanding of the concept of division as repeated subtraction, partitioning/sharing, or measuring (dividend up to 45 and divisors up to 5). (11.4, 11.12) B.b:15 Determine reasonableness of answers. (11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.12)Measurement D.a:1 Describe attributes of length, time, temperature, liquid capacity, weight/mass, volume and identify appropriate units to measure them. Units include: inches, feet, yards, miles, meters, centimeters, millimeters, cups, quarts, gallons, liters, seconds, minutes, hours, days, months, years, ounces, pounds, grams and degrees Fahrenheit/Celsius. (12.1, 12., 12.4, 12.5, 12.6) D.a:2 Compare attributes of length, volume and weight by observation or when given actual measurements. (12.1, 12.2, 12.4, 12.5, ) D.a:3 Make measurement conversions within a system (e.g., yards to feet; feet to inches; hours to minutes; days to hours; years to months; gallons to quarts). (12.1, 12.2, 12.4, 12.5) Algebraic Relationship F.a:1 Recognize, extend, describe, create, and replicate a variety of patterns including attribute, number and geometric patterns. Such as: • Picture patterns • Patterns in tables and charts • “What’s-my-rule?” patterns • Patterns using addition and subtraction rules Focusing on relationships within patterns as well as extending patterns e.g., patterns and relationships represented with pictures, tables and charts; “what’smy- rule?” patterns using addition and subtraction rules. (12.3) Statistics & Probability E.b:5 Determine if the occurrence of future events are more, less, or equally likely to occur . (12.7, 12.8, 12.9,12.10) E.b:6 Design a fair and an unfair spinner. (12.8, 12.10)Statistics and Probability E.b:7 Predict the outcomes of a simple event using words to describe probability. Ex: Flipping a coin has a 1 out of 2 chance of getting a head. (12.7, 12.8, 12.9, 12.10) E.b:8 Describe and determine the number of combinations for choosing 2 out of 3 items. Ex: Red hat, blue jacket and green jacket. What are the combinations of wearing a hat and a jacket? (12.8, 12.9, 12.10) MPS Measurement CABS # 1, 5MPS Measurement CABS # 2 MPS Algebraic Relationships CABS #12 MPS Number Operation and Relationships CABS #4, 10MPS Measurement CABS #1, 7, 8 MPS Statistics & Probability CABS #1, 2, 3, 4, 5
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