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Mathematics Quarterly Standards Alignment - 2009-2010 THIRD GRADE * =Key Standard Quarter One – Chapters 1-7 STANDARD LESSONS / CONCEPTS Chapter. Lesson # of Questions on CST NS 1.1 Count, read, and write numbers to 10,000. 1.3 - How big is 1000 NS 1.2 Compare and order whole numbers to 10,000. 2.1-Compare Numbers; 2.2-Order Numbers to 10,000 1 NS 1.3* Identify the place value for each digit in numbers to 10,000. 1.1-Model Numbers; 1.2-Place Value Through 999; 1.4-Place Value to 10,000; 2.1-Compare Numbers; 2.2-Order Numbers to 10,000 3 NS 1.4 Round off numbers to 10,000 to the nearest 10, hundred, and thousand. 2.3-Round 2-Digit and 3-Digit Numbers; 2.4-Round 4-Digit Numbers 1 (every other year) Estimate Sums and Differences 4.5-Estimate Sums and Differences NS 1.5* Use expanded notation to represent numbers. 1.2-Place Value Through 999; 1.4-Place Value to 10,000 3 NS 2.1* Find the sum of two whole numbers (to hundreds place) 3.1-Addition with Regrouping; 3.4-Column Addition 4 Find the sum of two whole numbers (to thousands place) 3.5-Add Greater Numbers Find the difference of two whole numbers (to hundreds place) 4.1-Model Subtraction; 4.2-Subtract with Regouping Find the difference of two whole numbers (to thousands place) 4.3,-Subtract Greater Numbers; 4.4-Subtract Across Zeros Addition Properties 3.3-Addition Properties Memorize to automaticity the multiplication table for numbers between 1 and 10. 5.1-Model Multiplication; 5.3-Multiplication Review (2, 5 and 10); 5.4Multiply with 4; 6.2-Multiply with 9; 6.3-Square Arrays; 6.4-Multiply with 3; 7.1-Use a Multiplication Table; 7.2-Use What You Know to Multiply 6, 7 and 8; 7.3-Practice Multiplying with 6, 7, and 8 Understand the special properties of 0 and 1 in multiplication and division. 6.1-Multiply with 0 and 1 NS 2.2* NS 2.6 (tested in Q2) The “Lessons / Concepts” column is NOT LISTED IN INSTRUCTIONAL ORDER. The above may be taught in ANY SEQUENCE WITHIN THIS QUARTER. All Key Standards in this QSA appear on the Quarterly Assessment (QA). 1 (every other year) Not tested, but builds number sense 1 Mathematics Quarterly Standards Alignment - 2009-2010 THIRD GRADE * =Key Standard NS 2.8 Solve problems that require two or more of the skills mentioned above. 6.5-Multistep Problems AF 1.1*/AF 1.2 Represent relationships of quantities in the form of mathematical expressions, equations, or inequalities. / Solve problems involving numeric equations or inequalities. 3.2-Equations and Inequalities AF 1.3 Select appropriate operational and relational symbols to make an expression true. (3.2) May need additional resources to cover this standard 1 AF 1.5 Recognize and use the commutative and associative properties of multiplication. 5.2-Arrays and the Commutative Property; 7.4-Use the Associative Property 1 AF 2.2 Extend and recognize a linear pattern by its rules. 1.5-Number Patterns (Place Value); 5.2-Arrays and the Commutative Property 1 Math Reasoning Nov. 2-6, 2009 4 (AF 1.1) 1 (AF 1.2) 2.5-Davies Symphony Hall; 3.6-California Living Museum; 4.6-Estimate or Exact Amount?; 5.5-Natural History Museum; 7.5-Guess and Check (Multiplication Patterns and Practice) 1 Q1 ASSESSMENT The “Lessons / Concepts” column is NOT LISTED IN INSTRUCTIONAL ORDER. The above may be taught in ANY SEQUENCE WITHIN THIS QUARTER. All Key Standards in this QSA appear on the Quarterly Assessment (QA). Mathematics Quarterly Standards Alignment - 2009-2010 THIRD GRADE * =Key Standard Quarter Two-Chapters 8-14 STANDARD LESSONS / CONCEPTS Chapter. Lesson # of Questions on CST MG 1.1 Choose the appropriate tools and units and estimate the measure of the length, liquid volume, and weight/mass of given objects. 8.1-Measure to the Nearest Inch; 8.2-Convert Customary Units of Lengths; 8.3-Centimeters and Millimeters; 8.4Convert Metric Units of Lengths 1 MG 1.2* Estimate or determine the area and volume of solid figures by covering them with squares or by counting the number of cubes that would fill them. 10.3-Explore Area; 10.4-Find Area; 11.3-Explre Volume; 11.4-Find Volume 3 MG 1.3* Find the perimeter of a polygon with integer sides. 10.1-Explore Perimeter; 10.2-Find Perimeter 3 Carry out simple unit conversions within a system of measurement. 8.2-Convert Customary Units of Lengths; 8.4-Convert Metric Units of Lengths 1 MG 2.1* Identify, describe, and classify polygons. 9.2-Plane Figures 2 MG 2.2* Identify attributes of triangles. 9.3-Sort Triangles and Quadrilaterals; 9.4-Triangles; 9.6-Draw a Picture 2 MG 2.3* Identify attributes of quadrilaterals. 9.3-Sort Triangles and Quadrilaterals; 9.5-Quadrilaterals 2 MG 2.4 Identify right angles and geometric figures or in appropriate objects and determine whether other angles are greater or less than a right angle. 9.1-Line Segments and Angles 2 (every 3 years) MG 2.5 Identify, describe, and classify common three-dimensional geometric objects. 11.1-Build Solids; 11.2-Solid Figures 2 (every 3 years) MG 2.6 Identify common solid objects that are the components needed to make a more complex solid object. 11.2-Solid Figures 2 (every 3 years) Extend and recognize a linear pattern by its rules. 10.5-Find a Pattern 1 MG1.4 AF 2.2(tested in Q1) The “Lessons / Concepts” column is NOT LISTED IN INSTRUCTIONAL ORDER. The above may be taught in ANY SEQUENCE WITHIN THIS QUARTER. All Key Standards in this QSA appear on the Quarterly Assessment (QA). Mathematics Quarterly Standards Alignment - 2009-2010 THIRD GRADE * =Key Standard NS 2.3* Use the inverse relationship of multiplication and division to compute and check results. (12.1-Model Division); 12.2-Relate Division and Multiplication; 12.3-Different Ways to Divide; 12.4-Practice Dividing by 2,5, or 10; 13.1-Use a Multiplication Table to Divide; 13.2-Practice Dividing by 3 or 4; 13.3-Fact Families; 13.4-Practice Dividing by 9; 13.5-Equal Groups Problems; 14.2-Practice Dividing by 6; 14.3-Practice Dividing by 7; 14.4-Practice Dividing by 8 NS 2.6 Understand the special properties of 0 and 1 in multiplication and division. 14.1-Division Rules 2 (every 3 years) 8.5-Santa Barbara Audubon Society; 11.5(MG 1.0)-Perimeter, Area or Volume; 12.5-San Diego; 14.5-Work Backward Embedded Math Reasoning Jan. 25 – 29, 2010 Q2 ASSESSMENT The “Lessons / Concepts” column is NOT LISTED IN INSTRUCTIONAL ORDER. The above may be taught in ANY SEQUENCE WITHIN THIS QUARTER. All Key Standards in this QSA appear on the Quarterly Assessment (QA). 2 Mathematics Quarterly Standards Alignment - 2009-2010 THIRD GRADE * =Key Standard Quarter Three-Chapters 15-21 STANDARD LESSONS / CONCEPTS Chapter. Lesson # of Questions on CST NS 2.4* Solve simple problems involving multiplication of multi digit numbers by 1 digit numbers. 19.1-Multiplication Patterns with 10, 100, and 1,000; 19.2-Multiply with Multiples of 10, 100 or 1,000; 20.1Multiply 2-Digit Numbers; 20.2-Multiply 2-Digit Numbers ; 20.3-Hands-on: Regroup in Multiplication; 20.4Regroup in Multiplication; 20.5-Use a Simpler Problem; 21.1-Hands-on:Multiply Greater Numbers; 21.2Multiply a 3-Digit Number by a 1-Digit Number; 21.3-Regroup More Than Once NS 3.0(not directly tested) Understand relationship between whole numbers, fractions, and decimals 15.1-Hands-On: Model Fractions; 15.2-Fractions and Groups NS 3.1 Compare fractions represented by drawings or concrete materials to show equivalency and to add and subtract simple fractions in context. 15.3-Hands-On: Model Equivalent Fractions; 15.4-Find Equivalent Fractions; 15.5-Hands-On: Compare Fractions; 17.1-Hands-On: Tenths and Hundredths 1 NS 3.2* Add and subtract simple fractions. 16.1-Hands-On: Add and Subtract Fractions; 16.2-Add Fractions; 2 5 16.3-Subtract Fractions; 16.4-Practice Adding and Subtracting Fractions Solve problems involving addition, subtraction, multiplication, (and division) of money amounts in decimal notation and multiply (and divide) money amounts in decimal notation by using wholenumber multipliers( and divisors). 18.1-Hands-On: Add and Subtract Money Amounts; 18.2-Hands-On: Add Money Amounts; 18.3-Subtract Money Amounts; 21.4-Multiply Money NS 3.4 Know and understand that fractions and decimals are two different representations of the same concept. 17.2-Tenths; 17.3-Hundredths; 17.4-Hands-On: Relate Fractions, Decimals and Money; 17.5-Reasonable Answers 1 AF 1.1*(tested in Q1) Represent relationships of quantities in the form of mathematical expressions, equations, or inequalities. 18.5-Write a Number Sentence 4 AF 2.1*(tested in Q4) Solve simple problems involving a functional relationship between two quantities. 18.4-Function Tables and Money 3 NS 3.3* 4/4-4/9/10 (no division until Q4) 15.6-Too Much Information; 16.5-African American Art and Culture Complex; 19.3-Estimate Products; 19.4The Gardens of Hakone; 21.5-Make a Table Math Reasoning 4 QA3 Assessment The “Lessons / Concepts” column is NOT LISTED IN INSTRUCTIONAL ORDER. The above may be taught in ANY SEQUENCE WITHIN THIS QUARTER. All Key Standards in this QSA appear on the Quarterly Assessment (QA). Embedded Mathematics Quarterly Standards Alignment - 2009-2010 THIRD GRADE * =Key Standard Quarter Four-Chapters 22-28 STANDARD LESSONS / CONCEPTS Chapter. Lesson (prepares for NS 2.5) # of Questions on CST (QAs will have same proportion of questions) 24.1-Hands-On: Equal Groups; 24.2-Hands-On: Repeated Subtractions; 24.3-Before, After, and Between NS 2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number. 25.1-Add Hundreds; 25.2-Regoup Ones; 25.3-Regroup Tens; 26.1-Subtract Hundreds; 26.2-Regroup Tens; 26.4- Practice subtracting 3-Digit Numbers 1 NS 2.7 Determine the unit cost when given the total cost and number of units. 24.4-Order Three-Digit Numbers; 27.5-Write a Number Sentence (More Addition and Subtraction) 1 NS 2.8 Solve problems that require two or more of the skills mentioned above. 26.5-Write a Number Sentence (subtracting 3-Digit numbers) 1 NS 3.3* Solve problems involving (addition, subtraction, multiplication, and) division of money amounts in decimal notation and multiply and divide money amount in decimal notation by using whole number multipliers and divisors. 26.3 – Regroup Hundreds)(division only-rest tested in Q3) 4 (prepares for SDAP 1.3*) 22.1-22.6-Division ( making and reading diff. graphs SDAP 1.1 Identify whether common events are certain, likely, unlikely, or improbable. 23.2-Probability 1 SDAP 1.2* Record the possible outcomes for a simple event. 23.1-Hands-On: Record Outcomes 2 SDAP 1.3* Summarize and display the results of probability experiments in a clear and organized way. 23.3-Hands-On: Make Predictions, 23.4-Make Predictions 2 SDAP 1.4 Use the results of probability experiments to predict future events. 23.3-Hands-On: Make Predictions, 23.4-Make Predictions Not assessable in multiple choice format Express simple unit conversions in symbolic form. 27.5-Convert Customary Units and Units of Time, 28.3-Convert AF 1.4 The “Lessons / Concepts” column is NOT LISTED IN INSTRUCTIONAL ORDER. The above may be taught in ANY SEQUENCE WITHIN THIS QUARTER. All Key Standards in this QSA appear on the Quarterly Assessment (QA). 1 Mathematics Quarterly Standards Alignment - 2009-2010 THIRD GRADE * =Key Standard Metric Units AF 2.1* MG 1.1 MG 1.4 Solve simple problems involving a functional relationship between two quantities. 24.4-Total Cost and Unit Cost 3 Choose the appropriate tools and units and estimate the measure of the length, liquid volume, and weight/mass of given objects. 27.1-Hands-on: Estimate and Measure Capacity, 27.2Customary Units of Capacity, 27.3-Hands-On: Estimate and Measure Weight, 27.4-Customary Units of Weight, 28.1-HandsOn: Metric Units of Capacity, 28.2-Hands-On: Metric Units of Mass 1 Carry out simple unit conversions within a system of measurement. 27.1-Hands –On: Estimate and Measure Capacity, 27.5-Convert Customary Units and Units of Time 1 Math Reasoning June 14 – 18, 2010 23.5-Bodie State Historic Park, 25.4-US Olympics Training Center, 28.4-Cabrillo Marine Aquarium Q4 ASSESSMENT The “Lessons / Concepts” column is NOT LISTED IN INSTRUCTIONAL ORDER. The above may be taught in ANY SEQUENCE WITHIN THIS QUARTER. All Key Standards in this QSA appear on the Quarterly Assessment (QA). Embedded