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Grade 5: Mathematics Scope and Sequence
2017-2018
Descriptor Eligible Content
Chapter 1 Objective CC state Standard
M05.A-T.1.1 M05.A-T.1.1.1 Demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to the left
Lesson 1.1 Recognize the 10 to 1 relationship among place-value positions
CC.5.NBT.1
M05.A-T.1.1.3 Read and write decimals to thousandths using base-ten numerals, word form, and expanded form
Lesson 1.2 Read and write whole numbers through hundred millions
CC.5.NBT.1
Problem SolvingQuiz
5 days
Descriptor Eligible Content
Chapter 1 Objective CC state Standard
M05.A-T.1.1 M05.A-T.1.1.2 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.
Lesson 1.4 Write and evaluate repeated factors in exponent form.
CC.5.NBT.2
M05.A-T.1.1.2 Explain patterns in the number of zeros of the 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.
Lesson 1.5 Use a basic fact and a pattern to multiply mentally by multiples of 10, 100, 1,000.
CC.5.NBT.2
Problem SolvingQuiz
5 daysTest (1 day) 11 days
Descriptor Eligible Content
Chapter 1 Objective CC state Standard
M05.A-T.2.1 M05.A-T.2.1.1 Multiply multi-digit whole numbers (not to exceed three-digit by three-digit)
Lesson 1.6 Multiply by 1-digit numbers
CC.5.NBT.5
M05.A-T.2.1.1 Multiply multi-digit whole numbers (not to exceed three-digit by three-digit)
Lesson 1.7 Multiply by 2-Digit Numbers
CC.5.NBT.5
Problem SolvingQuiz
5 days
Descriptor Eligible Content
Chapter 1 Objective CC state Standard
M05.B-O.1.1 M05.B-O.1.1.2 Write simple expressions that model calculations with numbers and interpret numerical expressions without evaluating them
Lesson 1.10 Write numerical expressions
CC.5.OA.2
M05.B-O.1.1.1 Use multiple grouping symbols (parentheses, brackets, or braces) in numerical expressions and evaluate expressions containing these symbols
Lesson 1.11 Use the order of operations to evaluate numerical expressions
CC.5.OA.1
M05.B-O.1.1.1 Use multiple grouping symbols (parentheses, brackets, or braces) in numerical expressions and evaluate expressions containing these symbols
Lesson 1.12 Evaluate numerical expressions with parentheses, brackets, and braces
CC.5.OA.1
Problem SolvingQuiz
6 daysTest (1 day) 12 days
Descriptor Eligible Chapter 2 Objective CC state
Content StandardM05.A-T.2.1 M05.A-T.2.1.2 Find whole-number quotients
of whole numbers with up to four-digit dividends and two-digit divisors
Lesson 2.1 & 2.2 Place the first digit in the quotient by estimating or using place value
Divide 3- and 4-digit dividends by 1-digit divisors.
CC.5.NBT.6
M05.A-T.2.1.2 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors
Lesson 2.5 Estimate quotients using compatible numbers.
CC.5.NBT.6
M05.A-T.2.1.2 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors
Lesson 2.6 Divide by 2-Digit Divisors
CC.5.NBT.6
M05.A-T.2.1.2 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors
Lesson 2.7 Solve division problems and decide when to write a remainder as a fraction
CC.5.NF.3CC.5.NBT.6
Lesson 2.8 Adjust the quotient if the estimate is too high or too low
CC.5.NBT.6
Problem SolvingLesson 2.9
Solve Problems by using the strategy draw a diagram
CC.5.NBT.6
Quiz
7 daysTest (1 day) 8 days
Descriptor Eligible Content
Chapter 3 Objective CC state Standard
M05.A-T.1.1 M05.A-T.1.1.1 Demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to the left
Lesson 3.1 Model, read, and write decimals to thousandths
CC.5.NBT.1 & CC.5.NBT.3a
M05.A-T.1.1.3 Read and write decimals to thousandths using base-ten numerals, word form, and expanded form
Lesson 3.2 Read and write decimals through thousandths
CC.5.NBT.3a & CC.5.NBT.1
M05.A-T.1.1.4 Compare two decimals to thousandths based on meanings of the digits in each place using >, =, and < symbols
Lesson 3.3 Compare and order decimals to through thousandths using place value
CC.5.NBT.3b
M05.A-T.1.1.5 Rounds decimals to any place (limit rounding to ones, tenths, hundredths, or thousandths place)
Lesson 3.4 Round decimals to any place
CC.5.NBT.4
Problem SolvingQuiz
10 daysTest (1 day) 11 days
Descriptor Eligible Content
Chapter 3 Objective CC state Standard
M05.A-T.2.1 M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)
Lesson 3.7 Make reasonable estimates of decimal sums and differences
CC.5.NBT.7
M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)
Lesson 3.5 & 3.8 Model decimal addition using base-ten blocks
Add decimals using place value
CC.5.NBT.7
M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)
Lesson 3.6 & 3.9 Model decimal subtraction using base-ten blocks
Subtract Decimals using Place value
CC.5.NBT.7
Lesson 3.10 Identify, describe, and create numeric patterns with decimals
CC.5.NBT.7
M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)
Problem SolvingLesson 3.11
Solve problems using the strategy make a table
CC.5.NBT.7
Quiz
7 daysTest (1 day) 8 days
Descriptor Eligible Content
Chapter 4 Objective CC state Standard
M05.A-T.1.1 M05.A-T.1.1.1 Explain patterns in the number Lesson 4.1 Find patterns in CC.5.NBT.2 &
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.
products when multiplying by powers of 10
CC.5.NBT.7
M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)
Lesson 4.2 & 4.3 Model multiplication of whole numbers and decimals
Multiply a decimal and a whole number using drawings and place value.
CC.5.NBT.2 & CC.5.NBT.7
Problem SolvingLesson 4.5
Solve problems using the strategy draw a diagram to multiply money
CC.5.NBT.7
Quiz
5 days
Descriptor Eligible Content
Chapter 4 Objective CC state Standard
M05.A-T.1.1 M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)
Lesson 4.6 &4.7 Model multiplication by decimals
Place the decimal point in decimal multiplication
CC.5.NBT.2 & CC.5.NBT.7
M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)
Lesson 4.8 Multiply decimals with zeros in the product
CC.5.NBT.2 & CC.5.NBT.7
Problem SolvingQuiz
5 daysTest (1 day) 11 days
Descriptor Eligible Content
Chapter 5 Objective CC state Standard
M05.A-T.1.1 M05.A-T.1.1.2 Explain patterns in the number Lesson 5.1 Find patterns in CC.5.NBT.2
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.
quotients when dividing by powers of 10
Lesson 5.3 Estimate decimal quotients
CC.5.NBT.7
M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)
Lesson 5.2 & 5.4 Model division of decimals by whole numbers
Divide decimals by whole numbers
CC.5.NBT.2 & CC.5.NBT.7
* Add Zeros in the dividend
Problem SolvingLesson 5.8
Solve multistep decimal problems using the strategy work backward
CC.5.NBT.7
Quiz
6 daysTest (1 day) 7 days
Descriptor Eligible Content
Chapter 6 Objective CC state Standard
M05.A-F.1.1 M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May
Lesson 6.3 Make reasonable estimates of fraction sums and
CC.5.NF.2
include multiple methods and representations.)
differences
M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods and representations.)
Lesson 6.4 Find a common denominator or a least common denominator to write equivalent fractions
CC.5.NF.1
M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods and representations.)
Lesson 6.1 & 6.5 Use models to add fractions with unlike denominators
Use equivalent fractions to add and subtract fractions
CC.5.NF.2 & CC.5.NF.1
M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods and representations.)
Lesson 6.2 & 6.5 Use models to subtract fractions with unlike denominators
Use equivalent fractions to add and subtract fractions
CC.5.NF.2 & CC.5.NF.1
Problem SolvingQuiz
7 days
Descriptor Eligible Content
Chapter 6 Objective CC state Standard
M05.A-F.1.1 M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods and
Lesson 6.6 Add and subtract mixed numbers with unlike denominators
CC.5.NF.1 & CC.NF.2
representations.)Lesson 6.7 Rename to find
the difference of two mixed numbers
CC.5.NF.1 & CC.NF.2
Lesson 6.8 Identify, describe, and create numeric patterns with fractions
CC.5.NF.1
Problem SolvingLesson 6.9
Solve problems using the strategy work backward
CC.5.NF.2 & CC.5.NF.1
Quiz
6daysTest (1 day) 14 days
Descriptor Eligible Content
Chapter 7 Objective CC state Standard
M05.A-F.2.1 M05.A-F.2.1.2 Multiply a fraction (including mixed numbers) by a fraction.
Lesson 7.1 Model to find the fractional part of a group
CC.5.NF.4a
M05.A-F.2.1.2 Multiply a fraction (including mixed numbers) by a fraction.
Lesson 7.2 &7.3 Model the product of a
CC.5.NF.4a
fraction and a whole number
Multiply fractions and whole numbers
M05.A-F.2.1.2 Multiply a fraction (including mixed numbers) by a fraction.
Lesson 7.4 & 7.6 Multiply fractions using models
Multiply fractions
CC.5.NF.4a, CC.NF.5a & CC.NF.5b
M05.A-F.2.1.2 Multiply a fraction (including mixed numbers) by a fraction.
Lesson 7.9 Multiply mixed numbers
CC.5.NF.6
Problem SolvingLesson 7.10
Solve problems using the strategy guess, check, and revise
CC.5.NF.5b & CC.5.NF.6
Quiz
7 days
Descriptor Eligible Content
Chapter 7 Objective CC state Standard
M05.A-F.2.1 M05.A-F.2.1.3 Demonstrate and understanding of multiplication as scaling (resizing)
Lesson 7.5 Relate the size of the product compared to the size of one factor when multiplying fractions
CC.5.NF.5a & CC.5.NF.5b
M05.A-F.2.1.3 Demonstrate and understanding of multiplication as scaling (resizing)
Lesson 7.8 Relate the size of the product to the factors when multiplying fractions greater than one
CC.5.NF.5a & CC.5.NF.5b
Problem SolvingQuiz
5 daysTest (1 day) 13 days
Descriptor Eligible Content
Chapter 8 Objective CC state Standard
M05.A-F.2.1 M05.A-F.2.1.1 Solve word problems involving division of whole numbers leading to answers in the form of fractions (including mixed numbers)
Lesson 8.3 Interpret a fraction as division and solve whole-number division problems that result in a
CC.5.NF.3
fraction or mixed number
M05.A-F.2.1.4 Divide unit fractions by whole numbers and whole numbers by unit fractions
Lesson 8.1 Divide a whole number by a fraction and divide a fraction by a whole number
CC.5.NF.7a, CC.5.NF.7b & CC.5.NF.7c
M05.A-F.2.1.4 Divide unit fractions by whole numbers and whole numbers by unit fractions
Lesson 8.2 Solve problems using the strategy draw a diagram
CC.5.NF.7b
M05.A-F.2.1.4 Divide unit fractions by whole numbers and whole numbers by unit fractions
Lesson 8.4 & 8.5 Divide a whole number by a fraction and divide a fraction by a whole number
Represent division by drawing diagrams and writing story problems and equations
CC.5.NF.7c, CC.5.NF.7a & CC.5.NF.7b
Problem SolvingQuiz
7 daysTest (1 day) 7 days
Descriptor Eligible Content
Chapter 9 Objective CC state Standard
M05.C-G.1.1 M05.C-G.1.1.1 Identify parts of the coordinate plane (x-axis, y-axis, and the origin) and the ordered pair (x-coordinate and y-coordinate). Limit the coordinate plane to quadrant I
Lesson 9.2 Graph and name points on a coordinate grid using ordered pairs
CC.5.G.1
M05.C-G.1.1.2 Represent real-world and mathematical problems by plotting points in quadrant I of the coordinate plane and interpret coordinate values of points in the context of the situation
Lesson 9.3 Collect and graph data on a coordinate grid
CC.5.G.2
Problem SolvingQuiz
5 days
Descriptor Eligible Content
Chapter 9 Objective CC state Standard
M05.D-M.2.1 M05.D-M.2.1.1 Solve problems involving computation of fractions by using information presented in line plots
Lesson 9.1 Make and use line plots with fractions to solve problems
M05.D-M.2.1.2 Display and interpret data shown in tallies, tables, charts, pictographs, bar graphs, and line graphs, and use a title, appropriate scale, and labels. A grid will be provided to display data on bar graphs or line graphs.
Lesson 9.4 Analyze and display data in a line graph
Problem SolvingQuiz
6 DaysTest (1 day) 11 days
Descriptor Eligible Content
Chapter 9 Objective CC state Standard
M05.B-O.2.1 M05.B-O.2.1.1 Generate two numerical patterns using two given rules
Lesson 9.5 Use two rules to generate a numerical pattern and identify the relationship between the corresponding
CC.5.OA.3
terms in the patterns
M05.B-O.2.1.2 Identify apparent relationships between corresponding terms of two patterns with the same starting numbers that follow different rules
Lesson 9.7 Graph the relationship between two numerical patterns on a coordinate grid
CC.5.OA.3 & CC.5.G.2
Problem SolvingQuiz
6 daysTest (1 day) 7 days
Descriptor Eligible Content
Chapter 10 Objective CC state Standard
M05.D-M.1.1 M05.D-M.1.1.1 Convert between different-sized measurement units within a given measurement system. A table of equivalencies will be provided.
Lessons 10.1, 10.2, 10.3Customary
Compare, contrast, and convert customary units of length, capacity, and weight
CC.5.MD.1
Problem Solving Convert CC.5.MD.1
Lesson 10.4 measurement units to solve multistep problems
Quiz
5 days
Descriptor Eligible Content
Chapter 10 Objective CC state Standard
M05.D-M.1.1 M05.D-M.1.1.1 Convert between different-sized measurement units within a given measurement system. A table of equivalencies will be provided.
Lesson 10.5 Compare, contrast, and convert metric units
CC.5.MD.1
M05.D-M.1.1.1 Convert between different-sized measurement units within a given measurement system. A table of equivalencies will be provided.
Problem SolvingLesson 10.6
Solve problems about customary and metric conversions using the strategy make a table
CC.5.MD.1
Quiz
4 daysTest (1 day) 10 days
Descriptor Eligible Content
Chapter 10 Objective CC state Standard
M05.D-M.1.1 M05.D-M.1.1.1 Convert between different-sized measurement units within a given measurement system. A table of equivalencies will be provided.
Lesson 10.7 Convert units of time to solve elapsed time problems
CC.5.MD.1
Problem Solving
2 days
Descriptor Eligible Content
Chapter 11 Objective CC state Standard
M05.C-G.2.1 M05.C-G.2.1.1 Classify two-dimensional figures in a hierarchy based on properties
Lesson 11.1 Identify and classify polygons
CC.5.G.3
M05.C-G.2.1.1 Classify two-dimensional figures in a hierarchy based on properties
Lesson 11.2 Classify and draw triangles using their properties
CC.5.G.3 & CC.5.G.4
M05.C-G.2.1.1 Classify two-dimensional figures in a hierarchy based on properties
Lesson 11.3 Classify and compare quadrilaterals
CC.5.G.4
using their properties
Problem SolvingQuiz
6daysTest (1 day) 7 days
Descriptor Eligible Content
Chapter 11 Objective CC state Standard
M05.D-M.3.1 Lesson 11.5 & 11.6 Understand unit cubes and how they can be used to build a solid figure
Count unit cubes that fill a solid figure to find volume
CC.5.MD.C.3a & CC.5.MD.C. 3b
M05.D-M.3.1.1 Apply the formulas V= l x w x h and V= B x H for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems. Formulas will be provided.
Lesson 11.8 & 11.9 Find the volume of rectangular prisms
Use a formula to find the volume of a rectangular prism
CC.5.MD.C.5a
M05.D-M.3.1.2 Find volumes of solid figures composed of two non-overlapping right rectangular prisms
Lesson 11.11 Find the volume of combined rectangular prisms
CC.5.MD.5c
Problem SolvingQuiz
7 daysTest (1 day) 8 days
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