Halifax County Schools

Fifth Grade Math Pacing Guide 2014-2015

First Six Weeks August 25-October 6, 2014
Essential Questions:
5.NBT.1 What is the rule for multiplying decimals by 10, 100, or 1000?
5.NBT.2 What is the relationship between place value and powers of ten?
5.NBT.5 How do you use an algorithm to multiply whole numbers?
5.NBT.6 What strategies can you use to divide numbers up to 4-digit dividends and two-digit divisors?
5.NBT.3a How do you read and write decimals in standard, expanded, and word form?
5.NBT.3b How do you compare and order decimal numbers?
5.NBT.4 How do you use rounding and benchmark numbers to estimate amounts?
5.NF.1 How can add and subtract fractions and mixed numbers with unlike denominators?
Vocabulary / Standards to Master / Spiral Review / Standards Assessed
All mastery standards should be assessed. Formative assessment can vary.
Week 1: Aug. 25-29, 2014
Vocabulary
5.NBT.1 decimal • decimal point • place value • tenths • hundredths • thousandths
5.NBT.2 exponent • power of 10 • tenths• hundredths • thousandths / *Heavily Weighted Standards (*Indicates heavily weighted standards)
*5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
*5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. / Review 4th Grade Standard
4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.
4.NBT.5 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. / Pre-Assessment:
4.NBT.4
4.NBT.5
Mastery Standards:
5.NBT.A.1
5.NBT.A.2
Week 2: Sept. 2-5, 2014
Vocabulary
5.NBT.1 decimal • decimal point • place value • tenths • hundredths • thousandths
5.NBT.2 exponent • power of 10 • tenths• hundredths • thousandths / *Heavily Weighted Standards
*5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
*5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
*5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
*5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-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. / Review 4th Grade Standard:
4.NBT.6 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. / Pre-Assessment:
4.NBT.B.5 (multiplication)
Mastery Standards:
5.NBT..1
5.NBT..2
5.NBT..5
5.NBT.6
Week 3: Sept. 8-12, 2014
Vocabulary
5.NBT.5 algorithm • area model • array • factor • product • whole numbers • multiplication
5.NBT.6 algorithm • whole numbers • equations •array • dividend • divisor •quotient • / *Heavily Weighted Standards
*5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
*5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-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. / Review 4th Grade Standard:
4.NBT.2 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. / Pre-Assessment:
4.NBT.2
Mastery Standards:
5.NBT.5
5.NBT.6
Week 4: Sept. 15-19, 2014
Vocabulary
5.NBT.3a expanded form • number lines
5.NBT.3b greater than • less than • equal to • >,<,= / *Heavily Weighted Standards
*5.NBT.3 Read, write, and compare decimals to thousandths.
a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
b. Compare two decimals to thousandths based on meanings of the digits in each place, using >;, =, and < symbols to record the results of comparisons. / Review 4th Grade Standard:
4.NF.6 Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. / Pre-Assessment:
4.NF.6
Mastery Standards:
5.NBT.3a
5.NBT.3b
Week 5: Sept. 22-26, 2014
Vocabulary
5.NBT.3a expanded form • number lines
5.NBT.3b greater than • less than • equal to • >,<,=
5.NBT.4 round • estimate • benchmark number • model / *Heavily Weighted Standards
*5.NBT.3 Read, write, and compare decimals to thousandths.
a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
b. Compare two decimals to thousandths based on meanings of the digits in each place, using >; =, and < symbols to record the results of comparisons.
*5.NBT.4 Use place value understanding to round decimals to any place. / 4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place. / Pre-Assessment
4.NBT.3
Mastery Standards:
5.NBT.3a
5.NBT.3b
5.NBT.4
Week 6: Sept. 29-Oct. 3, 2014
End of the First Six Weeks. Oct., 6 2014
Vocabulary
5.NBT.4 round • estimate • benchmark number • model
5.NF.1 multiples • numerator • denominator • mixed numbers • factors • simplest form • improper fraction / *Heavily Weighted Standards
*5.NBT.4 Use place value understanding to round decimals to any place.
*5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) / Review fourth grade standards.
4.NF.3c Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. / Pre-Assessment:
4.NF.3c
Mastery Standards:
5.NBT.3a
5.NBT.3b
5.NF.1
Resources:
http://www.k-5mathteachingresources.com/5th-grade-number-activities.html http://studyjams.scholastic.com/studyjams/jams/math/multiplication-division/multiplication.htm http://illuminations.nctm.org/LessonsList.aspx?grade=2&standard=1&standard=2&standard=3&standard=4&standard=5 http://streaming.discoveryeducation.com/
Assessments: Create, Locate Assessment in Schoolnet, Create or locate prepackaged Quizzes in Classscape
Second Six Weeks October 7-November 18, 2014
Essential Questions
5.NBT.7 How can you use addition, subtraction, multiplication, & division to solve real world problems?
5.NBT.5 How do you use an algorithm to multiply whole numbers?
5.NBT.6 What strategies can you use to divide numbers up to 4-digit dividends and two-digit divisors?
5.OA.1 How can you evaluate expressions that contain parentheses, brackets, and braces? 5.OA.2 What strategies can you use to write expressions to represent a real world problem?
5.OA.3 How can we show the relationship of patterns in numbers? 5.NF.2 How can I use my knowledge of fractions to solve real world problems?
Standards to Master / Spiral Review / Standards Assessed
All mastery standards should be assessed. Formative assessment can vary.
Week 1: Oct. 6-10, 2014
End of the First Six Weeks -Oct., 6 2014
Vocabulary
5.NBT.7 operations • sum •difference • product • quotient • decimal • tenths • hundredths / *Heavily Weighted Standard
*5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. / *Heavily Weighted Standards
*5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
*5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors. / Mastery Standards:
5.NBT.5
5.NBT.6
Week 2 :Oct. 13-17, 2014
Vocabulary
5.NBT.7 operations • sum •difference • product • quotient • decimal • tenths • hundredths / *Heavily Weighted Standard
*5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. / *Heavily Weighted Standards
*5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
*5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors. / Mastery Standard:
5.NBT.B.7
Week 3: Oct. 20-24, 2014
Vocabulary
5.NBT.5 algorithm • area model • array • factor • product • whole numbers • multiplication
5.NBT.6 algorithm • whole
numbers • equations •array • dividend • divisor •quotient • / *Heavily Weighted Standards
*5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
*5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-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. / *Heavily Weighted Standard
*5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. / Mastery Standards:
5.NBT.5
5.NBT.6
Week 4: Oct. 27-31, 2014
Vocabulary
5.NBT.5 algorithm • area model • array • factor • product • whole numbers • multiplication
5.NBT.6 algorithm • whole numbers • equations •array • dividend • divisor •quotient • / *Heavily Weighted Standard
*5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
*5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. / *Heavily Weighted Standard
*5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. / Mastery Standards:
5.NBT.5
5.NBT.6
Week 5: Nov. 3-7, 2014
Vocabulary
5.OA.1 & 5.OA2 parentheses • brackets • braces • expressions • evaluate • operations • sum • product / 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. / *Heavily Weighted Standards
*5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
*5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10. / Mastery Standards:
5.OA.1
5.OA.2
Week 6: Nov. 10-14, 2014
End of the Second Six Weeks-Nov. 18, 2014
Vocabulary
5.OA.1 & 5.OA2 parentheses • brackets • braces • expressions • evaluate • operations • sum • product
5.NF.2 multiples • numerator • unlike denominators • mixed numbers • factors • simplest form • improper fraction / 5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
*Heavily Weighted Standard
*5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. / *Heavily Weighted Standard
*5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) / Mastery Standards:
5.OA.3
5.NF.2
Resources: http://www.k-5mathteachingresources.com/5th-grade-number-activities.html http://studyjams.scholastic.com/studyjams/jams/math/index.htm
http://illuminations.nctm.org/LessonsList.aspx?grade=2&standard=1&standard=2&standard=3&standard=4&standard=5 http://streaming.discoveryeducation.com/
Assessments: Create or Locate Assessment in Schoolnet, Create or locate prepackaged Quizzes in Classscape
Third Six Weeks November 19, 2014-January 16, 2015
Essential Questions
5.NF.1 How can you add and subtract fractions and mixed numbers with unlike denominators? 5.NF.2 How can you use my knowledge of fractions to solve real world problems?
5.NF.4 How can you multiply a fraction by a whole number and a fraction? 5.NF.4b How can you find the area of a rectangle with fractional side lengths?
5.NF.5 How does multiplying a fraction by a whole number change the size of an area? 5.MD. 3 How can you represent the inside of a 3 dimensional figure?
5.MD.3 & 5.MD.4 How can we measure volume with cubic measurements? 5.MD.5.a How can you find the volume of a rectangular prism?