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

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