5th: Numbers and operations in base ten page
Common Core State Standards:
Eureka Math: Module 1:
Lesson 1: 5.NBT.1, 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
Lesson 2: 5.NBT.1, 5.NBT.2
Lesson 3: 5.NBT.2, multiply and divide by powers of 10, by decimals 10, 100, 1000, and understanding the movement of the decimal
Lesson 4: 5.NBT.3, 5.MD.1, read, write, and compare decimals to thousandths
Lesson 5: 5.NBT.3.a, read and write decimals to thousandths using base ten numerals, number names and expanded form
Lesson 6: 5.NBT.3.b, compare two decimals to thousandths using greater than, less than or equal to symbols
Lesson 7: 5.NBT.4, round decimals to any place
Lesson 8: 5.NBT.4
Lesson 9: 5.NBT.2, 5.NBT.3.a
Lesson 10: 5.NBT.3.a, 5.NBT.7
Lesson 11: 5.NBT.1, 5.NBT.2
Lesson 12: 5.NBT.2, 5.NBT.7
Lesson 13: 5.NBT.3.a, 5.NBT.7
Lesson 14: 5.NBT.7, ESTIMATE and add, subtract, multiply, and divide decimals to hundredths using concrete models or drawings and strategies and explain
one's reasoning
Lesson 15: 5.NBT.7
Lesson 16: 5.NBT.7
Eureka Math: Module 2:
Lesson 1: 5.NBT.1, 5.OA.1, Use and evaluate expressions with symbols like parentheses, brackets, or braces
Lesson 2: 5.NBT.2, 5.OA.1
Lesson 3: 5.OA.2, Create and translate simple expressions with parentheses
Lesson 4: 5.NBT.5, 5.OA.1
Lesson 5: 5.OA.2
Lesson 6: 5.OA.1, 5.OA.2
Lesson 7: 5.OA.2
Lesson 8: 5.NBT.5, Fluently multiply multi-digit whole numbers with the standard algorithm
Lesson 9: 5.NBT.5
Lesson 10: 5.NBT.7, 5.OA.2
Lesson 11: 5.NBT.7
Lesson 12: 5.NBT.7, 5.OA.2
Lesson 13: 5.NBT.5, 5.NBT.7, 5.MD.1, convert among different-sized standard measurement (metric and US customary) within a given measurement system
Lesson 14: 5.NBT.5, 5.NBT.7, 5.MD.1
Lesson 15: 5.MD.1
Lesson 16: 5.NBT.1, 5.NBT.6
Lesson 17: 5.NBT.2, 5.NBT.6
Lesson 18: 5.NBT.6, Find whole number quotients of whole numbers with up to four-digit dividends and two-digit divisors. Illustrate and explain the calculation by using
equations, rectangular arrays, and-or area models
Lesson 19: 5.NBT.6
Lesson 20: 5.NBT.6
Lesson 21: 5.NBT.6
Lesson 22: 5.NBT.6
Lesson 23: 5.NBT.6
Lesson 24: 5.NBT.2, 5.NBT.7
Lesson 25: 5.NBT.2, 5.NBT.7
Lesson 26: 5.NBT.7
Lesson 27: 5.NBT.2, 5.NBT.7
Lesson 28: 5.NBT.6, 5.NBT.7
Lesson 29: 5.NBT.6, 5.NBT.7
Eureka Math: Module 3:
Lesson 1: 4.NF.1
Lesson 2: 4.NF.1, 4.NF.3.c, 4.NF.3.d
Lesson 3: 5.NF.1, ESTIMATE add and subtract fractions and mixed numbers by making them equivalent fractions
Lesson 4: 5.NF.1
Lesson 5: 5.NF.1
Lesson 6: 4.NF.1
Lesson 7: 5.NF.1, 5.NF.2
Lesson 8: 5.NF.1
Lesson 9: 5.NF.1
Lesson 10: 5.NF.1, 5.NF.2
Lesson 11: 5.NF.1
Lesson 12: 5.NF.1
Lesson 13: 5.NF.2, ESTIMATE and solve word problems involving addition and subtraction of fractions using visual fraction models or equations to represent the problem
Lesson 14: 5.NF.2
Lesson 15: 5.NF.2
Lesson 16: 5.NF.1, 5.NF.2
Eureka Math: Module 4:
Lesson 1: 5.MD.1
Lesson 2: 5.NF.3, Interpret a fraction as division of the numerator by the denominator, and solve word problems involving division of whole numbers leading to answers in the
form of fractions or mixed numbers
Lesson 3: 5.NF.3
Lesson 4: 5.NF.3
Lesson 5: 5.NF.3
Lesson 6: 5.NF.4.a, ESTIMATE and solve multiplication of fractions, whole numbers, and mixed numbers with visual models and using the standard algorithm
Lesson 7: 5.NF.4.a
Lesson 8: 5.NF.4.a
Lesson 9: 5.NF.4.a
Lesson 10: 5.OA.1, 5.OA.2
Lesson 11: 5.NF.4.a, 5.NF.6
Lesson 12: 5.NF.4.a, 5.NF.6
Lesson 13: 5.NF.4.a
Lesson 14: 5.NF.4.a, 5.NF.5.b
Lesson 15: 5.NF.4.a
Lesson 16: 5.NF.6, ESTIMATE and solve real world problems involving the multiplication of fractions and mixed numbers using visual fraction models and equations
Lesson 17: 5.NBT.7
Lesson 18: 5.NBT.7
Lesson 19: 5.NF.6, 5.MD.1
Lesson 20: 5.NF.6
Lesson 21: 5.NF.5.a, 5.NF.5.b, fraction multiplication as scaling
Lesson 22: 5.NF.5.a, 5.NF.5.b
Lesson 23: 5.NF.5.a, 5.NF.5.b
Lesson 24: 5.NF.5.a, 5.NF.6
Lesson 25: 5.NF.7.a, Interpret, ESTIMATE, and compute the division of a unit fraction by whole number
Lesson 26: 5.NF.7.b, Interpret, ESTIMATE, and compute the division of a whole number by a unit fraction
Lesson 27: 5.NF.7.c, ESTIMATE and solve real world problems involving division with visual fraction models and equations to represent the problems
Lesson 28: 5.NF.7.c
Lesson 29: 5.NF.7.b
Lesson 30: 5.NBT.7
Lesson 31: 5.NBT.7
Lesson 32: 5.OA.1
Lesson 33: 5.OA.1, 5.OA.2
Eureka Math: Module 5:
Lesson 1: 5.MD.3.a, Know that a cube with a side length of 1 unit is called a "unit cube" and the volume of "one cubic unit." This unit cube can be used to measure volume
Lesson 2: 5.MD.3.a, 5.MD.3.b, 5.MD.5.a
Lesson 3: 5.MD.3.a, 5.MD.3.b, 5.MD.4: Measure volumes by counting unit cubes)
Lesson 4: 5.MD.5.b, a solid figure can be packed without gaps using a number of unit cubes
Lesson 5: 5.MD.3.b, 5.MD.5.b, Apply the formulas, V : L x W x H = U cubed, and V : B x H = U cubed
Lesson 6: 5.MD.5.a, 5.MD.5.c
Lesson 7: 5.MD.5.c, Decompose 3-D figures to find the volume, ESTIMATE and solve real world volume word problems
Lesson 8: 5.MD.5.b, 5.MD.5.c
Lesson 9: 5.MD.5.b, 5.MD.5.c
Lesson 10: 5.NF.4.b, ESTIMATE and solve area of rectangles with fractions, whole numbers, and mixed number side lengths
Lesson 11: 5.NF.4.b
Lesson 12: 5.NF.4.b
Lesson 13: 5.NF.4.b
Lesson 14: 5.NF.6
Lesson 15: 5.NF.6
Lesson 16: 5.G.3, Understand that attributes belonging to a category of 2-D figures also belong to all subcategories of that category
Lesson 17: 5.G.3
Lesson 18: 5.G.3
Lesson 19: 5.G.3
Lesson 20: 5.G.4, classify 2-D figures in a hierarchy based on properties
Lesson 21: 5.G.3, 5.G.4
Eureka Math: Module 6:
Lesson 1: 5.G.1, Understand the coordinate grid, x-axis and y-axis, origin, and ordered pairs and how to use and locate information on the coordinate grid.
Lesson 2: 5.G.1
Lesson 3: 5.G.1
Lesson 4: 5.G.1
Lesson 5: 5.G.1
Lesson 6: 5.G.1
Lesson 7: 5.G.1
Lesson 8: 5.G.1, 5.OA.3
Lesson 9: 5.G.1, 5.OA.3
Lesson 10: 5.OA.3
Lesson 11: 5.G.1, 5.OA.3
Lesson 12: 5.G.1, 5.OA.3
Lesson 13: 5.G.1
Lesson 14: 5.G.1
Lesson 15: 5.G.1
Lesson 16: 5.G.1
Lesson 17: 5.G.1
Lesson 18: 5.OA.3
Lesson 19: 5.G.1
Lesson 20: 5.G.2
Lesson 21: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 22: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 23: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 24: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 25: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 26: 5.OA.1, 5.OA.2
Lesson 27: 5.OA.1, 5.OA.2
Lesson 28: 5.NBT.3.a, 5.NBT.3.b, 5.NBT.5, 5.NBT.7, 5.NF.7.a, 5.NF.7.b, 5.MD.1
Lesson 29: 5.MD.3.a, 5.MD.3.b, 5.G.3, 5.G.4
Lesson 30: 5.MD.3.a, 5.MD.3.b, 5.G.3, 5.G.4
Lesson 31: 5.G.1, 5.G.2
Lesson 32: 5.NBT.7
Not Identified Lessons in Eureka Math
5.MD.2.b: Make a line plot to display a data set of measurements in fractions of a unit (e.g. 1/2, 1/4, and/or 1/8)
Eureka Math: Module 1:
Lesson 1: 5.NBT.1, 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
Lesson 2: 5.NBT.1, 5.NBT.2
Lesson 3: 5.NBT.2, multiply and divide by powers of 10, by decimals 10, 100, 1000, and understanding the movement of the decimal
Lesson 4: 5.NBT.3, 5.MD.1, read, write, and compare decimals to thousandths
Lesson 5: 5.NBT.3.a, read and write decimals to thousandths using base ten numerals, number names and expanded form
Lesson 6: 5.NBT.3.b, compare two decimals to thousandths using greater than, less than or equal to symbols
Lesson 7: 5.NBT.4, round decimals to any place
Lesson 8: 5.NBT.4
Lesson 9: 5.NBT.2, 5.NBT.3.a
Lesson 10: 5.NBT.3.a, 5.NBT.7
Lesson 11: 5.NBT.1, 5.NBT.2
Lesson 12: 5.NBT.2, 5.NBT.7
Lesson 13: 5.NBT.3.a, 5.NBT.7
Lesson 14: 5.NBT.7, ESTIMATE and add, subtract, multiply, and divide decimals to hundredths using concrete models or drawings and strategies and explain
one's reasoning
Lesson 15: 5.NBT.7
Lesson 16: 5.NBT.7
Eureka Math: Module 2:
Lesson 1: 5.NBT.1, 5.OA.1, Use and evaluate expressions with symbols like parentheses, brackets, or braces
Lesson 2: 5.NBT.2, 5.OA.1
Lesson 3: 5.OA.2, Create and translate simple expressions with parentheses
Lesson 4: 5.NBT.5, 5.OA.1
Lesson 5: 5.OA.2
Lesson 6: 5.OA.1, 5.OA.2
Lesson 7: 5.OA.2
Lesson 8: 5.NBT.5, Fluently multiply multi-digit whole numbers with the standard algorithm
Lesson 9: 5.NBT.5
Lesson 10: 5.NBT.7, 5.OA.2
Lesson 11: 5.NBT.7
Lesson 12: 5.NBT.7, 5.OA.2
Lesson 13: 5.NBT.5, 5.NBT.7, 5.MD.1, convert among different-sized standard measurement (metric and US customary) within a given measurement system
Lesson 14: 5.NBT.5, 5.NBT.7, 5.MD.1
Lesson 15: 5.MD.1
Lesson 16: 5.NBT.1, 5.NBT.6
Lesson 17: 5.NBT.2, 5.NBT.6
Lesson 18: 5.NBT.6, Find whole number quotients of whole numbers with up to four-digit dividends and two-digit divisors. Illustrate and explain the calculation by using
equations, rectangular arrays, and-or area models
Lesson 19: 5.NBT.6
Lesson 20: 5.NBT.6
Lesson 21: 5.NBT.6
Lesson 22: 5.NBT.6
Lesson 23: 5.NBT.6
Lesson 24: 5.NBT.2, 5.NBT.7
Lesson 25: 5.NBT.2, 5.NBT.7
Lesson 26: 5.NBT.7
Lesson 27: 5.NBT.2, 5.NBT.7
Lesson 28: 5.NBT.6, 5.NBT.7
Lesson 29: 5.NBT.6, 5.NBT.7
Eureka Math: Module 3:
Lesson 1: 4.NF.1
Lesson 2: 4.NF.1, 4.NF.3.c, 4.NF.3.d
Lesson 3: 5.NF.1, ESTIMATE add and subtract fractions and mixed numbers by making them equivalent fractions
Lesson 4: 5.NF.1
Lesson 5: 5.NF.1
Lesson 6: 4.NF.1
Lesson 7: 5.NF.1, 5.NF.2
Lesson 8: 5.NF.1
Lesson 9: 5.NF.1
Lesson 10: 5.NF.1, 5.NF.2
Lesson 11: 5.NF.1
Lesson 12: 5.NF.1
Lesson 13: 5.NF.2, ESTIMATE and solve word problems involving addition and subtraction of fractions using visual fraction models or equations to represent the problem
Lesson 14: 5.NF.2
Lesson 15: 5.NF.2
Lesson 16: 5.NF.1, 5.NF.2
Eureka Math: Module 4:
Lesson 1: 5.MD.1
Lesson 2: 5.NF.3, Interpret a fraction as division of the numerator by the denominator, and solve word problems involving division of whole numbers leading to answers in the
form of fractions or mixed numbers
Lesson 3: 5.NF.3
Lesson 4: 5.NF.3
Lesson 5: 5.NF.3
Lesson 6: 5.NF.4.a, ESTIMATE and solve multiplication of fractions, whole numbers, and mixed numbers with visual models and using the standard algorithm
Lesson 7: 5.NF.4.a
Lesson 8: 5.NF.4.a
Lesson 9: 5.NF.4.a
Lesson 10: 5.OA.1, 5.OA.2
Lesson 11: 5.NF.4.a, 5.NF.6
Lesson 12: 5.NF.4.a, 5.NF.6
Lesson 13: 5.NF.4.a
Lesson 14: 5.NF.4.a, 5.NF.5.b
Lesson 15: 5.NF.4.a
Lesson 16: 5.NF.6, ESTIMATE and solve real world problems involving the multiplication of fractions and mixed numbers using visual fraction models and equations
Lesson 17: 5.NBT.7
Lesson 18: 5.NBT.7
Lesson 19: 5.NF.6, 5.MD.1
Lesson 20: 5.NF.6
Lesson 21: 5.NF.5.a, 5.NF.5.b, fraction multiplication as scaling
Lesson 22: 5.NF.5.a, 5.NF.5.b
Lesson 23: 5.NF.5.a, 5.NF.5.b
Lesson 24: 5.NF.5.a, 5.NF.6
Lesson 25: 5.NF.7.a, Interpret, ESTIMATE, and compute the division of a unit fraction by whole number
Lesson 26: 5.NF.7.b, Interpret, ESTIMATE, and compute the division of a whole number by a unit fraction
Lesson 27: 5.NF.7.c, ESTIMATE and solve real world problems involving division with visual fraction models and equations to represent the problems
Lesson 28: 5.NF.7.c
Lesson 29: 5.NF.7.b
Lesson 30: 5.NBT.7
Lesson 31: 5.NBT.7
Lesson 32: 5.OA.1
Lesson 33: 5.OA.1, 5.OA.2
Eureka Math: Module 5:
Lesson 1: 5.MD.3.a, Know that a cube with a side length of 1 unit is called a "unit cube" and the volume of "one cubic unit." This unit cube can be used to measure volume
Lesson 2: 5.MD.3.a, 5.MD.3.b, 5.MD.5.a
Lesson 3: 5.MD.3.a, 5.MD.3.b, 5.MD.4: Measure volumes by counting unit cubes)
Lesson 4: 5.MD.5.b, a solid figure can be packed without gaps using a number of unit cubes
Lesson 5: 5.MD.3.b, 5.MD.5.b, Apply the formulas, V : L x W x H = U cubed, and V : B x H = U cubed
Lesson 6: 5.MD.5.a, 5.MD.5.c
Lesson 7: 5.MD.5.c, Decompose 3-D figures to find the volume, ESTIMATE and solve real world volume word problems
Lesson 8: 5.MD.5.b, 5.MD.5.c
Lesson 9: 5.MD.5.b, 5.MD.5.c
Lesson 10: 5.NF.4.b, ESTIMATE and solve area of rectangles with fractions, whole numbers, and mixed number side lengths
Lesson 11: 5.NF.4.b
Lesson 12: 5.NF.4.b
Lesson 13: 5.NF.4.b
Lesson 14: 5.NF.6
Lesson 15: 5.NF.6
Lesson 16: 5.G.3, Understand that attributes belonging to a category of 2-D figures also belong to all subcategories of that category
Lesson 17: 5.G.3
Lesson 18: 5.G.3
Lesson 19: 5.G.3
Lesson 20: 5.G.4, classify 2-D figures in a hierarchy based on properties
Lesson 21: 5.G.3, 5.G.4
Eureka Math: Module 6:
Lesson 1: 5.G.1, Understand the coordinate grid, x-axis and y-axis, origin, and ordered pairs and how to use and locate information on the coordinate grid.
Lesson 2: 5.G.1
Lesson 3: 5.G.1
Lesson 4: 5.G.1
Lesson 5: 5.G.1
Lesson 6: 5.G.1
Lesson 7: 5.G.1
Lesson 8: 5.G.1, 5.OA.3
Lesson 9: 5.G.1, 5.OA.3
Lesson 10: 5.OA.3
Lesson 11: 5.G.1, 5.OA.3
Lesson 12: 5.G.1, 5.OA.3
Lesson 13: 5.G.1
Lesson 14: 5.G.1
Lesson 15: 5.G.1
Lesson 16: 5.G.1
Lesson 17: 5.G.1
Lesson 18: 5.OA.3
Lesson 19: 5.G.1
Lesson 20: 5.G.2
Lesson 21: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 22: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 23: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 24: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 25: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7.c
Lesson 26: 5.OA.1, 5.OA.2
Lesson 27: 5.OA.1, 5.OA.2
Lesson 28: 5.NBT.3.a, 5.NBT.3.b, 5.NBT.5, 5.NBT.7, 5.NF.7.a, 5.NF.7.b, 5.MD.1
Lesson 29: 5.MD.3.a, 5.MD.3.b, 5.G.3, 5.G.4
Lesson 30: 5.MD.3.a, 5.MD.3.b, 5.G.3, 5.G.4
Lesson 31: 5.G.1, 5.G.2
Lesson 32: 5.NBT.7
Not Identified Lessons in Eureka Math
5.MD.2.b: Make a line plot to display a data set of measurements in fractions of a unit (e.g. 1/2, 1/4, and/or 1/8)
numbers and operations in base ten videos:
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Here are some videos to help with understanding Numbers and Operations in Base Ten. The Khan Academy has plenty of videos on the subject of Numbers and Operations and is an excellent resource for almost every math lesson. Math Antics is another excellent resource when it comes to understanding our math concepts and is actually quite entertaining. If and when you get lost, check out these two resources for a little more help. To the right are links to both websites: |
For lessons on Numbers and Operations in Base Ten:
For videos on Numbers and
Operations in Base Ten: |
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numbers and operations in base ten posters:
The following posters cover what we as a 5th grade will create for
mastering the standards in Numbers and Operations in Base Ten
mastering the standards in Numbers and Operations in Base Ten