Modern Bloom

Skills

The 816 teachable sub-skills beneath the Grades 1–7 standards — the granular level where instruction, practice, and mastery actually happen. Each links back to its standard.

Operations & Algebraic Thinking

3.OA

3.OA.A.1 Interpret products of whole numbers · 3

Identify a multiplication situation based on a given multiplication expression (up to and including 10x10)
Interpret the product of two whole numbers (up to and including 10x10) as the number of groups times the size of each group, or vice versa
Model a multiplication situation (up to and including 10x10), including by writing a multiplication expression

3.OA.A.2 Interpret whole-number quotients · 4

Identify a division situation (limited to dividends through 50 and divisors and quotients through 10) based on a given division expression
Interpret whole number quotients as the number of groups when a set number of objects is partitioned into equal groups (limited to dividends through 50 and divisors and quotients through 10)
Interpret whole number quotients as the number of objects in each group when a set number of objects is partitioned into equal groups (limited to dividends through 50 and divisors and quotients through 10)
Model a division situation (limited to dividends through 50 and divisors and quotients through 10), including by writing a division expression

3.OA.A.3 Multiplication & division word problems within 100 · 8

Solve one-step division problems within 100
Solve one-step division problems, limited to dividends through 50 and divisors and quotients through 10
Solve one-step multiplication problems up to and including 10x10
Solve one-step multiplication problems within 100
Use equations with a symbol for the unknown number to represent division problems
Use equations with a symbol for the unknown number to represent division problems, limited to dividends through 50 and divisors and quotients through 10
Use equations with a symbol for the unknown number to represent multiplication problems
Use equations with a symbol for the unknown number to represent multiplication problems up to and including 10x10

3.OA.A.4 Find the unknown in an equation · 8

Determine the unknown dividend or divisor in a division equation relating three whole numbers
Determine the unknown dividend or divisor in a division equation relating three whole numbers, limited to dividends through 50 and divisors and quotients through 10
Determine the unknown factor in a multiplication equation relating three whole numbers
Determine the unknown factor in a multiplication equation relating three whole numbers up to and including 10x10
Determine the unknown product in a multiplication equation relating three whole numbers
Determine the unknown product in a multiplication equation relating three whole numbers up to and including 10x10
Determine the unknown quotient in a division equation relating three whole numbers
Determine the unknown quotient in a division equation relating three whole numbers, limited to dividends through 50 and divisors and quotients through 10

3.OA.B.5 Apply properties of operations · 4

Apply the associative property as a strategy to multiply
Apply the commutative property as a strategy to multiply
Apply the distributive property as a strategy to divide
Apply the distributive property as a strategy to multiply

3.OA.B.6 Division as an unknown-factor problem · 2

Determine a quotient by representing a division problem as an equivalent multiplication problem
Represent a division problem as an equivalent multiplication problem with an unknown factor

3.OA.C.7 Fluently multiply & divide within 100 · 5

Fluently divide within 100, using strategies such as the relationship between multiplication and division or properties of operations
Fluently multiply within 100, using strategies such as the relationship between multiplication and division or properties of operations
Know from memory all products of two one-digit numbers
Solve one-step division problems within 100
Solve one-step multiplication problems within 100

3.OA.D.8 Two-step word problems · 6

Explain whether or not the answer to a two-step word problem is reasonable
Explain whether or not the answer to a two-step word problem within cultural contexts, including those of Montana American Indians, is reasonable
Represent a two-step word problem using equations with a letter standing for the unknown quantity
Represent a two-step word problem within cultural contexts, including those of Montana American Indians, using equations with a letter standing for the unknown quantity
Use addition and subtraction within 1,000 and multiplication and division within 100 to solve two step real- world problems
Use addition and subtraction within 1,000 and multiplication and division within 100 to solve two step real- world problems within cultural contexts, including those of Montana American Indians

3.OA.D.9 Identify arithmetic patterns · 4

Explain arithmetic patterns using properties of operations
Identify arithmetic patterns
Identify arithmetic patterns in a multiplication table
Identify arithmetic patterns in an addition table

Number & Operations in Base Ten

3.NBT

3.NBT.A.1 Round to the nearest 10 or 100 · 3

Round whole numbers to the nearest 10
Round whole numbers to the nearest 100
Round whole numbers within 100 to the nearest 10

3.NBT.A.2 Fluently add & subtract within 1000 · 5

Fluently add within 1,000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction
Fluently subtract within 1,000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction
Given the number of ten thousands, thousands, hundreds, tens, and/or ones, compose a number up to 100,000
Use models to compose a number up to 100,000
Use numbers to represent the decomposition of a number up to 100,000 into its ten thousands, thousands, hundreds, tens, and/or ones

3.NBT.A.3 Multiply by multiples of 10 · 4

Fluently add and subtract with 1,000 to solve two-step subtraction problems
Fluently add within 1,000 to solve one-step addition problems
Fluently subtract with 1,000 to solve one-step subtraction problems
Multiply one-digit whole numbers by multiples of 10 in the range 10-90 using strategies based on place value and properties of operations

Number & Operations — Fractions

3.NF

3.NF.A.1 Understand a fraction 1/b and a/b · 2

Identify a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts (where b is 2, 3, 4, 6, or 8)
Identify a fraction a/b as the quantity formed by a parts of size 1/b (where b is 2, 3, 4, 6, or 8)

3.NF.A.2 Fractions on a number line · 2

Identify a fraction a/b as the quantity formed by a parts of size 1/b (where b is 2, 3, 4, 6, or 8)
Understand a fraction as a number on the number line

3.NF.A.3 Equivalent fractions & comparing · 7

Compare fractions by reasoning about their size (with denominators 2, 3, 4, 6, and 8)
Explain equivalence of fractions in special cases
Represent a fraction 1/b with a model, including a number line, (where b is 2, 3, 4, 6, or 8)
Represent a fraction a/b with a model, including a number line (where b is 2, 3, 4, 6, or 8)
Represent eighths on a number line
Represent fourths on a number line
Represent halves on a number line

Measurement & Data

3.MD

3.MD.A.1 Tell time & measure time intervals · 4

Measure time intervals in minutes (within 60 minutes), including finding elapsed time
Solve word problems involving addition of time intervals in minutes
Solve word problems involving subtraction of time intervals in minutes
Tell and write time to the nearest minute

3.MD.A.2 Measure liquid volume & mass · 8

Estimate liquid volumes using standard units
Estimate masses of objects using standard units
Measure liquid volumes using standard units
Measure masses of objects using standard units
Use addition to solve one-step word problems involving masses or volumes that are given in the same units
Use division to solve one-step word problems involving masses or volumes that are given in the same units
Use multiplication to solve one-step word problems involving masses or volumes that are given in the same units
Use subtraction to solve one-step word problems involving masses or volumes that are given in the same units

3.MD.B.3 Picture graphs & bar graphs · 8

Solve one-step problems using information presented in a scaled bar graph
Solve one-step problems using information presented in a scaled bar graph within cultural contexts, including those of Montana American Indians
Solve two-step problems using information presented in a scaled bar graph
Solve two-step problems using information presented in a scaled bar graph within cultural contexts, including those of Montana American Indian
Use a scaled bar graph to represent a data set with several categories
Use a scaled bar graph to represent a data set with several categories within cultural contexts, including those of Montana American Indians
Use a scaled picture graph to represent a data set with several categories
Use a scaled picture graph to represent a data set with several categories within cultural contexts, including those of Montana American Indians

3.MD.B.4 Line plots with halves & fourths · 2

Generate measurement data (to the nearest fourth of an inch) by measuring lengths using rulers marked with halves and fourths of an inch
Show measurement data by making a fractional line plot, where the horizontal scale is marked off in appropriate units (whole numbers, halves, or quarters)

3.MD.C.5 Understand area & unit squares · 2

Recognize area as an attribute of plane figures
Understand that when using a unit square to determine area, the entire surface of the plane figure must be measured without gaps or overlays

3.MD.C.6 Measure area by counting unit squares · 2

Measure the area of a rectangle by counting unit squares
Recognize that the number of tiles along a side corresponds to the length of the side

3.MD.C.7 Relate area to multiplication & addition · 1

Use multiplication and addition to find the area of rectangles

3.MD.D.8 Perimeter of polygons · 10

Differentiate between perimeter and area and recognize that figures can have the same area and different perimeters
Differentiate between perimeter and area and recognize that figures can have the same perimeter and different areas
Find the perimeter given the side lengths of a polygon in a mathematical context
Find the perimeter given the side lengths of a polygon in a real-world context
Solve mathematical problems involving finding the missing side length of a polygon when the perimeter is given
Solve mathematical problems involving the perimeters of polygons
Solve mathematical problems involving the perimeters of rectangles with whole number side lengths
Solve real-world problems involving finding the missing side length of a polygon when the perimeter is given
Solve real-world problems involving the perimeters of polygons
Solve real-world problems involving the perimeters of rectangles with whole number side lengths

Geometry

3.G

3.G.A.1 Categories of shapes & attributes · 7

Draw examples of quadrilaterals that are not rhombuses, rectangles, or squares
Recognize a rectangle as a quadrilateral
Recognize a rhombus as a quadrilateral
Recognize a square as a quadrilateral
Recognize examples of quadrilaterals
Understand that shapes in different categories may share attributes
Understand that shared attributes can define a larger category of shapes

3.G.A.2 Partition shapes into equal areas · 2

Express the area of each equal part of a shape as a unit fraction of the whole (with denominators of 2, 3, 4, 6, and 8)
Partition shapes into parts with equal areas (2, 3, 4, 6, or 8 equal parts)