Mathematical Web Sites:
1. http://www.k-5mathteachingresources.com/2nd-grade-measuremnt-and-data.html
2. http://www.aaamath.com
3. http://www.rickyspears.com/ruler game
4. http://www.khanacademy.org
5. http://www.learninggamesforkids.com/2nd-grade-math.html#post-149
6. http://smartmeasurement.wikispaces.com
7. http://www.zoodles.com/free-online-kids-games/second-2nd-grade_measurement
8. http://www.teachervision.fen.com/measurement
9. Mathchimp.com (Allows teacher to pick standards)
10. K-5 mathteaching resources.com (Address all standards)
11. MrMarffesoli.com (By standards)
12. alex.state.al.us (Lesson Plans, AlabamaInsight Tool, Resources)
Other Resources
· Alabama Learning Exchange (ALEX) http://alex.state.al.us/index.php
· corestandards.org
· education.com
· k-5 math teaching.com (very good)
· http://exchangesmarttech.com (for smart boards)
· funbrain.com
· mathwire.com
· http://www.primarygames.com/storybooks/even_odd/4.htm (even and odd)
· mathchimp.com
· dreambox.com
· www.mrnussbaum.com/mathcode.htm
· http://www.arcademicskillbuilders.com
· www.henryanker.com
· www.ixl.com
· www.cyberchase.com
· www.abcya.com
· www.thinkfinity.com
2010 Alabama Course of Study Mathematics: College and Career Readiness Standards
Website: http://alex.state.al.us/ccrs/node/76
Select: Mathematics
Select: Resources
· The 2010 AL Course of Study: Mathematics and the ARMT+ Item Specifications
Fourth Grade Mathematics Pacing Guide
Focus:· Place Value: The value of a digit is determined by its position in a number.
· There are many ways to represent the same number.
· Addition and Subtraction: There are procedures for performing mathematical operations to ensure that the values obtained will be consistent.
· There are various strategies that can help solve difficult problems. / First 9-Weeks
Dates: August 19 – October 17
Number of Instructional Days: 43 Days
Essential Questions to be Answered, Understood, and Mastered:
1. How can place value properties aid computation?
2. How does the position of a digit in a number affect its value?
3. How can you represent the same number in different ways?
4. How can place value be used to compare and order numbers?
5. When is estimation useful?
6. How can place value properties aid computation?
7. What strategies can be used to solve patterns?
8. What are efficient methods for finding sums?
9. What are efficient methods for finding differences?
10. What questions can be answered using addition or subtraction?
2010 Alabama Course of Study: College- and Career-Ready Standards for Mathematics
Domain: Numbers and Operations Base Ten (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000)
Cluster: Generalize place value understanding for multi-digit whole numbers
ALCOS 6 / Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.[4-NBT1]
Example: Recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
ALCOS 7 / Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. [4-NBT2]
ALCOS 8 / Use place value understanding to round multi-digit whole numbers to any place.[4-NBT3]
Domain: Operations and Algebraic Thinking
Cluster: Use the four operations with whole numbers to solve problems
ALCOS 3 / Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. [4-OA3]
ALCOS 5 / Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4-OA5]
Example: Given the rule ―Add 3 and the starting number 1, generate terms in the resulting sequence, and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
ALCOS 9 / Fluently add and subtract multi-digit whole numbers using the standard algorithm. [4-NBT4]
ALCOS 20 / Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]
Strategies:
· Values of Digits: 2010 ALCOS 6
· Forms of Numbers: 2010 ALCOS 7
· Comparing and Ordering Numbers: 2010 ALCOS 8
· Rounding: 2010 ALCOS 8
· Number Patterns: 2010 ALCOS 5
· Standard Algorithm of Addition: 2010 ALCOS 9
· Standard Algorithm of Subtraction: 2010 ALCOS 9
· Problem Solving: 2010 ALCOS 3
Vocabulary / Place, Value, Base-Ten, Base-Ten Numerals (standard form), Number Names (word form), Expanded Form, Inequality, Greater Than, Less Than, Equal To (and symbols), Estimate, Sum, Algorithm, Sequence, Difference, Operation, Equation, Unknown Variable
fourth Grade Mathematics Pacing Guide
Focus:· Multiplication
· Multiplication can be represented by equal-sized groups, arrays, area-models, and repeated addition.
· There are various strategies and procedures for fluently multiplying whole numbers. / Second 9-Weeks
Dates: October 22 – December 20
Number of Instructional Days: 40 Days
Essential Questions to be Answered, Understood, and Mastered:
1. What multiple representations and various strategies can be used to solve multiplication problems?
2. How can you compare numbers using multiplication?
3. What strategies can be used to solve patterns?
4. What are factors and multiples?
5. What are efficient methods and strategies for finding products?
6. What questions can be answered using multiplication?
2010 Alabama Course of Study: College- and Career-Ready Standards for Mathematics
Domain: Operations and Algebraic Thinking
Cluster: Use the four operations with whole numbers to solve problems
ALCOS 1 / Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. [4-OA1]
ALCOS 2 / Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4-OA2]
ALCOS 3 / Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. [4-OA3]
Domain: Operations and Algebraic Thinking
Cluster: Gain familiarity with factors and multiples
ALCOS 4 / Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite. [4-OA4]
Domain: Operations and Algebraic Thinking
Cluster: Generate and analyze patterns
ALCOS 5 / Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4-OA5]
Example: Given the rule ―Add 3 and the starting number 1, generate terms in the resulting sequence, and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
Domain: Numbers in Base Ten
Cluster: Generalize place value understanding for multi-digit whole numbers
ALCOS 6 / Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. [4-NBT1]
Example: Recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
Domain: Numbers in Base Ten
Cluster: Use place value understanding and properties of operations to perform multi-digit arithmetic
ALCOS 10 / Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. [4-NBT5]
Domain: Measurement and Data
Cluster: Solve problems involving measurement and conversion of measurements from larger unit to a smaller unit
ALCOS 20 / Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4-MD2]
Strategies:
· Multiplication comparisons: 2010 ALCOS 1
· Number Patterns: 2010 ALCOS 5
· Factors and Multiples: 2010 ALCOS 4
· Multi-digit Multiplication: 2010 ALCOS 6, 10
· Problem-Solving: 2010 ALCOS 1, 2, 3, 20
Vocabulary / Multiplicative Comparison, Product, Skip Counting, Factors, Multiples, Prime, Composite, Arrays, Estimate
fourh Grade Mathematics Pacing Guide
Focus:· Division
· Division is related to multiplication.
· There are various strategies and procedures for dividing whole numbers.
· Fractions
· Fractions with different numerators and different denominators can be equivalent when the fractions refer to the same whole.
· Fractions are built from unit fractions using the operations of addition and multiplication. / Third 9-Weeks
Date: January 7 – March 14
Number of Instructional Days: 47 Days
Essential Questions to be Answered, Understood, and Mastered:
1. How can I use multiplication facts to help solve division problems?
2. How do remainders affect your answers?
3. What strategies can be used to solve patterns?
4. What questions can be answered using division?
5. How do I explain the meaning of a fraction and its numerator and denominator, and use my understanding to represent and compare fractions?
6. What are different strategies for comparing and ordering fractions?
7. How can a fraction look different but still be the same?
8. How do we combine and separate fractions?
9. How do I use various strategies to add and subtract mixed numbers with like denominators?
10. How can multiplying fractions by a whole number be modeled using a unit fraction?
11. How are fractions used in real-life?
2010 Alabama Course of Study: College- and Career-Ready Standards for Mathematics
Domain: Operations and Algebraic Thinking
Cluster: Use the four operations with whole numbers to solve problems
ALCOS 2 / Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4-OA2]
ALCOS 3 / Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. [4-OA3]
Domain: Operations and Algebraic Thinking
Cluster: Generate and analyze patterns
ALCOS 5 / Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4-OA5]
Example: Given the rule ―Add 3 and the starting number 1, generate terms in the resulting sequence, and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
Domain: Numbers in Base Ten
Cluster: Generalize place value understanding for multi-digit whole numbers
ALCOS 6 / Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. [4-NBT1]
Example: Recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
Domain: Numbers in Base Ten
Cluster: Use place value understanding and properties of operations to perform multi-digit arithmetic
ALCOS 11 / Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. [4-NBT6]
Domain: Measurement and Data
Cluster: Solve problems involving measurement and conversion of measurements from larger unit to a smaller unit
ALCOS 17 / Use decimal notation for fractions with denominators 10 or 100. [4-NF6]
Example: Rewrite 0.62 as; describe a length as 0.62 meters; locate 0.62 on a number line diagram. 62 100
Domain: Numbers and Operations - Fractions
Cluster: Extend understanding of fraction equivalence and ordering
ALCOS 12 / Explain why a fraction is equivalent to a fraction by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4-NF1]
ALCOS 13 / Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as . Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4-NF2]
Domain: Numbers and Operations - Fractions
Cluster: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
ALCOS 14a / Understand a fraction with > 1 as a sum of fractions . [4-NF3]