Tracy Area Public Schools - Curriculum Map

Subject Area: / Math / Grade Level: 4 / Date:
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / 3rd Grade Review / (1.2) Place Value Through Hundred Thousands
1 / 3rd Grade Review / (1.5) Place Value Through Hundred MIllions
1 / 3rd Grade Review / (1.3) Problem Solving: Logical Reasoning
1 / 3rd Grade Review / (2.1) Comparing Numbers
1 / 3rd Grade Review / (2.2) Ordering Numbers
1 / 3rd Grade Review / (2.3) Compare and Order Money
4 / 3rd Grade Review / (2.4) Make Change
1 / 3rd Grade Review / (2.5) Round Numbers
1 / 3rd Grade Review / (2.6) Bar Graphs
1 / 3rd Grade Review / Review
1 / 3rd Grade Review / Test
1 / 3rd Grade Review / Corrections
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / 3rd Grade Review / (3.1) Addition Properties and Subtraction Rules
1 / 3rd Grade Review / (3.3) Estimate Sums and Differences
1 / 3rd Grade Review / (3.5) Add Whole Numbers and Money
1 / 3rd Grade Review / (3.6) Subtract Whole Numbers
2 / 3rd Grade Review / (3.7) Subtract Across Zeros
1 / 3rd Grade Review / (3.8) Add & Subtract Greater Numbers
1 / 3rd Grade Review / Review
1 / 3rd Grade Review / Test
1 / 3rd Grade Review / Corrections
1 / Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.1) Demonstrate fluency with multiplication & division facts. / (4.1) Multiplication Properties and Division Rules / *How do I solve multiplication and division facts?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.1) Demonstrate fluency with multiplication & division facts. / (4.2) Relate Multiplication and Division / *How do I solve multiplication and division facts?
1 / Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.1) Demonstrate fluency with multiplication & division facts. / (4.4) Multiplication and Division Facts to Five / *How do I solve multiplication and division facts?
1 / Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.1) Demonstrate fluency with multiplication & division facts. / (4.5) Multiplication and Division Facts to Ten / *How do I solve multiplication and division facts?
1 / Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.1) Demonstrate fluency with multiplication & division facts. / (4.7) Multiply 3 Factors / *How do I solve multiplication and division facts?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
2 / Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.1) Demonstrate fluency with multiplication & division facts. / (4.8) Division with Remainders / *How do I solve multiplication and division facts?
1 / (4.1.1.1.) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic
(4.1.1.5) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.1) Demonstrate fluency with multiplication & division facts.
(4.1.1.5) Solve multi-step real-world & mathematical problems requiring the use of addition, subtraction & multiplication of multi-digit whole numbers. Use various strategies, including the relationship between operations, the use of technology, & the context of the problem to assess the reasonableness of results. / (4.9) Choose the Operation / *How do I solve multiplication and division facts?
*How do I solve real-life math problems using addition, subtraction, and multiplication?
*How can I check my answers to see if they are reasonable?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / (4.1.1.2) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.2) - Numbers and Operations - Use an understanding of place value to multiply a number by 10, 100, & 1000 / (6.1 & 7.1) Multiply Multiples of 10, 100, and 1000 / ●How do I multiply a number by 10, 100, or 1000?
1 / Chapter 4 Review - Multiplication and Division Basic Facts / Review
1 / Chapter 4 Review - Multiplication and Division Basic Facts / Test
1 / Chapter 4 Review - Multiplication and Division Basic Facts / Corrections
1 / (4.1.1.3) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.3) Multiply multi-digit numbers, using efficient & generalizable procedures, based on knowledge of place value, including standard algorithms. / (6.4 & 6.6) Multiply Two-, Three-Digit Numbers by One Digit Numbers / *How do I multiply multiply multi-digit numbers
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / (4.1.1.3) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic
(4.1.1.5) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.3) Multiply multi-digit numbers, using efficient & generalizable procedures, based on knowledge of place value, including standard algorithms.
(4.1.1.5) Solve multi-step real-world & mathematical problems requiring the use of addition, subtraction & multiplication of multi-digit whole numbers. Use various strategies, including the relationship between operations, the use of technology, & the context of the problem to assess the reasonableness of results. / (6.5) Guess & Check (Problem Solving) / *How do I multiply multiply multi-digit numbers
*How do I solve real-life math problems using additions, subtraction, and multiplication?
*How can I check my answers to see if it is reasonable?
1 / (4.1.1.3) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.3) Multiply multi-digit numbers, using efficient & generalizable procedures, based on knowledge of place value, including standard algorithms. / (6.7) Multiply Greater Numbers / *How do I multiply multi-digit numbers?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / (4.1.1.3) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.3) Multiply multi-digit numbers, using efficient & generalizable procedures, based on knowledge of place value, including standard algorithms. / (7.4 & 7.6) - Multiply Two-Digit Numbers and Multiply Three-Digit Numbers by Two-Digit Numbers / *How do I multiply multi-digit numbers?
1 / (4.1.1.3) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic
(4.1.1.5) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.3) Multiply multi-digit numbers, using efficient & generalizable procedures, based on knowledge of place value, including standard algorithms.
(4.1.1.5) Solve multi-step real-world & mathematical problems requiring the use of addition, subtraction & multiplication of multi-digit whole numbers. Use various strategies, including the relationship between operations, the use of technology, & the context of the problem to assess the reasonableness of results. / (7.5) - Reasonable Answers (Problem Solving) / *How do I multiply multi-digit numbers?
*How can I solve real-life math problems using addition, subtraction, and multiplication?
*How can I check my answers to see if they are reasonable?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / (4.1.1.3) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.3) Multiply multi-digit numbers, using efficient & generalizable procedures, based on knowledge of place value, including standard algorithms. / (7.7) Multiply Greater Numbers / *How can I multiply multi-digit numbers?
1 / (4.1.1.4) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.4) Estimate products & quotients of multi-digit whole numbers by using rounding, benchmarks & place value to assess the reasonableness of results. / (6.2 & 7.2) Estimate Products / *How do I estimate products and quotients?
1 / Chapters 6 & 7 Review - Multiply by One and Two Digit Numbers / Review
1 / Chapters 6 & 7 Review - Multiply by One and Two Digit Numbers / Test
1 / Chapters 6 & 7 Review - Multiply by One and Two Digit Numbers / Corrections
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
2 / (4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction. / (8.2 & 8.4) - Divide with Remainders and Regroup in Division / *How do I divide a multi-digit number by a one or two-digit number?
2 / (4.1.1.5) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic
(4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.5) Solve multi-step real-world & mathematical problems requiring the use of addition, subtraction & multiplication of multi-digit whole numbers. Use various strategies, including the relationship between operations, the use of technology, & the context of the problem to assess the reasonableness of results.
(4.1.1.6) Use strategies & / (8.3) - Interpret Remainders (Problem Solving) / *How can I solve real-life math problems using addition, subtraction, and multiplication?
*How can I check my my answers to see if it is reasonable?
*How can I divide a multi-digit number by a one or two-digit number?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction. / (8.3) - Interpret Remainders (Problem Solving)
(Continued from above)
1 / (4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction. / (8.5) Divide Multiples of 10, 100, and 10000 / *How can I divide a multi-digit number by a one- or two-digit number?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / (4.1.1.4) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.4) Estimate products & quotients of multi-digit whole numbers by using rounding, benchmarks & place value to assess the reasonableness of results. / (8.6) Estimate Quotients / *How can I estimate products and quotients?
1 / (4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction. / (9.1) Three-Digit Quotients / *How can I divide a multi-digit number by a one- or two-digit number?
1 / (4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may / (9.3) Divide Money / *How can I divide a multi-digit number by a one- or two-digit number?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction.
(Continued from above)
1 / (4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction. / (9.4) Zeros in the Quotient / *How can I divide a multi-digit number by a one- or two-digit number?
1 / (4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, / (9.5) Work Backwards (Problem Solving) / *How can I divide a multi-digit number by a one- or two-digit number?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
partial quotients, the commutative, associative, & distributive properties & repeated subtraction.
(Continued from above)
1 / (4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction. / (11.1) Divide by Multiples of 10 / *How can I divide a multi-digit number by a one- or two-digit number?
1 / (4.1.1.4) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.4) Estimate products & quotients of multi-digit whole numbers by using rounding, benchmarks & place value to assess the reasonableness of results. / (11.2) Estimate Quotients / *How do I estimate products & quotients?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / (4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction. / (11.4) One-Digit Quotients / *How can I divide a multi-digit number by a one- or two-digit number?
1 / (4.1.1.5) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.5) Solve multi-step
real-world & mathematical problems requiring the use of addition, subtraction & multiplication of multi-digit whole numbers. Use various strategies, including the reationship between operations, the use of technology, & the context of the problem to assess the reasonableness of results. / (11.5) Two-Digit Quotients / *How can I divide a multi-digit number by a one- or two-digit number?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
(Continued from above) / (4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction. / (11.5) Two-Digit Quotients
(Continued from above)
1 / (4.1.1.5) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic
(4.1.1.6) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.5) Solve multi-step
real-world & mathematical problems requiring the use of addition, subtraction & multiplication of multi-digit whole numbers. Use various strategies, including the reationship between operations, the use of technology, & the context of the problem to assess the reasonableness of results. / (11.7) Multistep Problems (Problem Solving / *How can I divide a multi-digit number by a one- or two-digit number?
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
(Continued from above) / (Continued from above) / (4.1.1.6) Use strategies & algorithms based on knowledge of place value, equality & properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, & distributive properties & repeated subtraction. / (11.7) Multistep Problems (Problem Solving
(Continued from above)
1 / (4.1.1.3) Demonstrate mastery of multiplication & division facts; multiply multi-digit numbers; solve real-world & mathematical problems using arithmetic / (4.1.1.3) Multiply multi-digit numbers, using efficient & generalizable procedures, based on knowledge of place value, including standard algorithms. / (10.3) Solve a Simpler Problem (Problem Solving) / *How do I multiply multi-digit numbers?
1 / Chapters 8, 9, 11 Review -
Understand Division / Review
1 / Chapters 8, 9, 11 Review -
Understand Division / Test
1 / Chapters 8, 9, 11 Review -
Understand Division / Test Corrections
Timeline / Standards Addressed / Skills/Benchmarks / Content / Objectives / Assessments
1 / (4.1.2.1) Represent & compare fractions & decimals in real-world & mathematical situations; use place value to understand how decimals represent quantities. / (4.1.2.1) Represent equivalent fractions using fraction models such as parts of a set, fraction circles, fraction strips, number lines & other manipulatives. Use the models to determine equivalent fractions. / (19.1) Represent Fractions / *How can I find and show equivalent fractions?
1 / (4.1.2.1) Represent & compare fractions & decimals in real-world & mathematical situations; use place value to understand how decimals represent quantities. / (4.1.2.1) Represent equivalent fractions using fraction models such as parts of a set, fraction circles, fraction strips, number lines & other manipulatives. Use the models to determine equivalent fractions. / (19.2) Equivalent Fractions / *How can I find and show equivalent fractions?
1 / (4.1.2.1) Represent & compare fractions & decimals in real-world & mathematical situations; use place value to understand how decimals represent quantities. / (4.1.2.1) Represent equivalent fractions using fraction models such as parts of a set, fraction circles, fraction strips, number lines & other manipulatives. Use the models to determine equivalent fractions. / (19.3) Equivalent Fractions & Simplest Form / *How can I find and show equivalent fractions?