Halifax County Schools
Fourth Grade Math Pacing Guide
(HWS) = Heavily Weighted Standard
August 25 – October 6Standards to Master / Spiral
Review / Classroom Standards Assessed
All mastery standards should be assessed. Formative assessment can vary.
Week 1
Vocabulary
Place value
Digit
Comparisons/compare
Reasoning
Justify
Conclusion
Round
Greater than
Less than
Equal to, ‹, ›, =, / Heavily Weighted Standard: 4.NBT.1 - 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.
Essential Questions:
· How do digit values change as they are moved around in large numbers?
· What determines the value of a digit? / 4.NBT.1 Students will recognize place value related to multiplying and dividing by multiples of ten. (HWS)
Week 2
Vocabulary
Base ten
Multi-digit
Standard form
Word form
Expanded form
Symbols <, =, >
Less than
Equal to
Greater than
Place value / Heavily Weighted 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.
Essential Questions:
• How are large numbers estimated?
• How do digit values change as they are moved around in large numbers?
• What determines the value of a digit? / 4.NBT.1 / 4.NBT.2 Students will read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. (HWS)
Week 3
Vocabulary
Multi-digit
Place value
Value
Rounding
Whole number / Heavily Weighted Standard: 4.NBT.3 - Use place value understanding to round multi-digit whole numbers to any place.
Essential Questions:
• What is a sensible answer to a real problem?
• What information is needed in order to round whole number to any place?
• How can I ensure my answer is reasonable?
• How can rounding help me compute numbers?
• What strategies can I use to help me make sense of a written algorithm? / 4.NBT.1, 4.NBT.2 / 4.NBT.3 Students will use place value to round multi-digit whole numbers to any place. (HWS)
Week 4
Vocabulary
Add
Subtract
Fluently
Standard algorithm / Heavily Weighted Standard: 4.NBT.4 – Students will fluently add and subtract multi-digit whole numbers using the standard algorithm.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Essential Questions:
• How can I combine hundreds, tens and ones in two or more numbers efficiently?
• What strategies help me add and subtract multi-digit numbers? / 4.NBT.3 / 4.NBT.4 Students will fluently add and subtract multi-digit whole numbers. (HWS)
Week 5
Vocabulary
Repeated addition
Array
Multiple
Comparison
Equation
Area model / 4.OA.1 – Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5x7 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.
Essential Question:
· How many ways can I interpret a multiplication equation? (An array, repeated addition, a comparison) / 4.NBT.4 / 4.OA.1 Students will multiply equations and interpret the comparison of two quantities as they relate to each other.
Week 6
Vocabulary
Division, Quotient
Remainder, Dividend
Divisor, Area models
Multiplicative comparison
Additive comparison / 4.OA.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.
Essential Questions:
· How does multiplication help us solve problems?
· How can different strategies be helpful when solving a problem? / 4.OA.1 / 4.OA.2 Students will determine which factor to multiply one quantity in order to result in the other quantity.
Resources - Literacy and other Integration Opportunities:
Anno’s Mysterious Multiplying Jar by Masaichiro and Mitsumasa Anno
The King’s Chessboard by David Birch
G by Google by David M. SchwartzThe Great Math Tattle by Bowen
Hershey’s Milk Chocolate Multiplication Book by Pallotta
How many ways can you cut a pie? By Moncure
Minnie’s Diner by Dodds
Grandpa’s Quilt by Franco
Seventeen Kings and 42 Elephants by Mahy
Ten Times Better by Michelson and Baskin
Too Many Kangaroo Things to Do by Murphy
Under the Sun and Over the Moon by Crossley-Holland / Minnie’s Diner by Doyle Ann Dodds
How Much is a Million? by David M. Schwartz
On Beyond a Million by David M. Schwartz
Neil’s Numberless World by Lucy Coats
Earth Day-Hooray by Stuart J. Murphy
Betcha by Stuart J. Murphy
Coyotes All Around by Stuart J. Murphy
Other Ideas:
Write a real world story involving situations using rational numbers.
Write a poem using this week’s learned concept.
October 7 – November 18
Standards to Master / Spiral Review / Classroom Standards Assessed
All mastery standards should be assessed. Formative assessment can vary.
Week 7
Vocabulary
Decimal
Decimal notation / Heavily Weighted Standard: 4.NF.6 – Use decimal notation for fractions with denominators 10 or 100.
Essential Questions:
· How do you represent fractions as decimals? / 4.OA.2 / 4.NF.6 – Students will write and apply decimal notation for fractions with denominators 10 or 100. (HWS)
Week 8
Vocabulary
Compare
Decimals
Tenths
Hundredths
Reasoning
Whole
symbols <
=, >
Justify
Conclusion
Visual model / Heavily Weighted Standard: 4.NF.7 - Compare two decimals to hundredths by reasoning about their size.
Essential Questions:
· What are the characteristics of a decimal fraction?
· What patterns occur on a number line made up of decimal fractions? / 4.NF.6 / 4.NF.7 Students will compare two decimals to hundredths by reasoning about their size. (HWS)
Week 9
Vocabulary
Whole numbers
Digits
Multiply
Place value
Properties of operations
Rectangular arrays
Area models
Strategies / Heavily Weighted Standard: 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. Illustrate and explain the calculations by using equations, rectangular arrays, and /or area models.
Essential Questions:
· How can I effectively explain my mathematical thinking and reasoning to others?
· What patterns do I notice when I am multiplying whole numbers that can help me multiply more efficiently?
· What real life situations require the use of multiplication?
Heavily Weighted Standard: 4.NBT.6 Find whole-number quotients and reminders 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.
Essential Questions:
• How can I use the situation in a story problem to determine the best operation to use?
• Write a real world math problem using multiplication.
• Write a poem using multiplication or division.
· Write a letter to a friend, brother, or sister explaining the concept of multiplication and division. / 4.NBT.2
4.NF.7 / 4.NBT.5 Students will use similar representations and strategies to multiply large numbers. (HWS)
4.NBT.6 Students will solve real world problems using multiplication and division. (HWS)
Week 10
Vocabulary
Shape
Pattern
Rule
Identify / 4.OA.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.
Essential Questions:
· How are multiplication and division related to each other?
· What are some simple methods for solving multiplication and division problems?
· What patterns of multiplication and division can assist us in problem solving? / 4.OA.1 / 4.OA.5 Generate a number or shape pattern that follows a given rule.
Week 11
Vocabulary
Factors
Factor pairs
Multiple
Prime numbers
Whole numbers
Range / 4.OA.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 on the range 1-100 is prime or composite.
Essential Question:
· How do I determine whether a given whole number in the range 1-100 is a multiple of a given one- digit number?
· How do I determine whether a given whole number on the range 1-100 is prime or composite? / 4.OA.2 / 4.OA.4- Students will find factor pairs up to 100.
Week 12
Vocabulary
Four operations
Remainder
Equation
Unknown quantity
Mental computation
Estimation
Rounding
Reasonableness / 4.OA.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.
Essential Questions:
· How are remainders and divisors related?
· What is the meaning of a remainder in a division problem? / 4.NBT.1, 2 / 4.OA.3 Students will solve multistep word problems using the four operations; including problems in which remainders must be interpreted.
Week 13
Vocabulary
See week 12 / 4.OA.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.
Essential Questions:
· How are remainders and divisors related?
· What is the meaning of a remainder in a division problem? / 4.NBT.3, 4 / 4.OA.3 Students will also represent equations to solve for unknown quantities and check for reasonableness using mental computation and estimation strategies.
Resources - Literacy and other Integration Opportunities:
Anno’s Mysterious Multiplying Jar by Masaichiro and Mitsumasa Anno
The King’s Chessboard by David Birch
G by Google by David M. SchwartzThe Great Math Tattle by Bowen
Hershey’s Milk Chocolate Multiplication Book by Pallotta
How many ways can you cut a pie? By Moncure
Minnie’s Diner by Dodds
Grandpa’s Quilt by Franco
Seventeen Kings and 42 Elephants by Mahy; Ten Times Better by Michelson and Baskin; Too Many Kangaroo Things to Do by Murphy
Under the Sun and Over the Moon by Crossley-Holland
Minnie’s Diner by Doyle Ann Dodds / How Much is a Million? by David M. Schwartz
On Beyond a Million by David M. Schwartz
Neil’s Numberless World by Lucy Coats
Earth Day-Hooray by Stuart J. Murphy
Betcha by Stuart J. Murphy
Coyotes All Around by Stuart J. Murphy
Other Ideas: Write a real world story involving situations using rational numbers; Write a poem using this week’s learned concept.
http://www.AAAMath.com
http://www.inetteacher.com/Home.aspx?uid=103641&pgid=0&secid=1
November 19 – January 16
Standards to Master / Spiral
Review / Classroom Standards Assessed
All mastery standards should be assessed. Formative assessment can vary.
Week 14
Vocabulary
Measurement
Units
Lengths: (km=kilometer, m=meter, cm=centimeter), Weights: (kg=kilogram, g=gram, lb.=pound, oz.=ounce), Capacity (l=liter, ml=milliliter), Time:
(hr.=hour, sec=second, min=minute)
Equivalent / 4.MD.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb., oz.; l, ml; hr., min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.
Essential Questions:
· What is a unit?
· How are the units of linear measurement within a standard system related?
· Why are units important in measurement? / 4.NF.7 / 4.MD.1 Know relative sizes of measurement units within one system of units.
Week 15
Vocabulary
Four operations (addition, subtraction, multiplication, division)
Distance
Liquid volume
Fractions
Decimals
Measurement
Unit
Diagram
Measurement quantities / 4.MD.2 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.
Essential Questions:
· How are fluid ounces, cups, pints, quarts, and gallons related?
· How can fluid ounces, cups, pints, quarts, and gallons be used to measure capacity?
· Why do we need to be able to convert between capacity units of measurement?
· Can different size containers have the same capacity?
· How can we estimate and measure capacity? / 4.NF.6 / 4.MD.2 Use the four operations to solve word problems involving distances and liquid volumes.
Week 16
Vocabulary
Ounce
Ton
Millimeter
Centimeter
Meter
Gram
Kilogram
Milliliter
Liter / 4.MD.2 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.
Essential Questions:
· How are fluid ounces, cups, pints, quarts, and gallons related?
· How can fluid ounces, cups, pints, quarts, and gallons be used to measure capacity?
· Why do we need to be able to convert between capacity units of measurement?
· Can different size containers have the same capacity?
· How can we estimate and measure capacity? / 4.OA.3 / 4.MD.2 Students will use measurement to solve problems and convert units.
Week 17
Vocabulary
Area
Perimeter
Length
Width
Unit
Square unit / 4. MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
Essential Questions:
· How do I find the area and perimeter of a rectangle?
· How can I find a missing side of a rectangle if given the area and perimeter and a side? / 4.MD.2 / 4. MD.3 Apply area and perimeter formulas for rectangles.
Week 18
Vocabulary
Line plot
Data set
Measurement in fractions of a unit
Problem solving
Addition
Subtraction
Fraction
Plots / 4. MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/3, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots.