Classify quadrilaterals by their attributes
Identifies rhombuses, rectangles, squares, and other quadrilaterals by side and angle properties.
All grades
3rd Grade
112 atomsAll authored atoms for this grade, grouped by category.
GEO
Shapes
(7 atoms)Understand that shared attributes define a larger category
Recognizes that shapes from different subcategories can belong to the same larger category because they share defining attributes.
Recognize a square as both a rectangle and a rhombus
Applies attribute reasoning to see that a square satisfies the definitions of several categories at once.
Recognize examples that do not belong to a category
Identifies a shape that fails a defining attribute and names the attribute it lacks.
Draw a shape that does not belong to a named subcategory
Produces a shape meeting a broad category but deliberately failing a narrower one.
Partition a shape into parts with equal areas
Divides a shape into a given number of parts that each cover the same area, including parts of different shapes.
Express the area of each part as a unit fraction of the whole
Names each equal-area part of a partitioned shape with the correct unit fraction.
MD
Measurement
(22 atoms)Tell time to the nearest minute
Reads an analog clock to the exact minute, coordinating the hour hand and a minute count.
Measure lengths to the nearest half and quarter inch
Reads a ruler marked in halves and fourths and reports a fractional measurement.
Write time to the nearest minute
Records a to-the-minute time in digital notation.
Measure a time interval in minutes
Finds the number of minutes between two times within the same hour or across an hour boundary.
Solve word problems involving time intervals
Solves start, elapsed, and end-time problems in context, including finding an unknown start time.
Estimate and measure liquid volume in liters
Estimates and measures the volume of liquids using liters, with a sense of benchmark quantities.
Estimate and measure mass in grams and kilograms
Estimates and measures mass, choosing between grams and kilograms appropriately.
Solve one-step problems involving mass and volume
Uses the four operations to solve problems about masses or liquid volumes given in the same units.
Recognize area as an attribute of plane figures
Understands area as the amount of surface a flat figure covers, distinct from its outline.
Understand a unit square as the unit of area
Knows that area is measured in squares of a given side length, with no gaps or overlaps.
Measure area by counting unit squares
Finds the area of a figure drawn on a grid by counting the unit squares that cover it.
Relate tiling a rectangle to multiplying side lengths
Shows that the number of unit squares tiling a rectangle equals the product of its side lengths.
Find the area of a rectangle by multiplying side lengths
Computes the area of a rectangle from its dimensions and labels the answer in square units.
Solve area word problems
Applies area computation inside a real-world context, including finding an unknown side length.
Use tiling to show the distributive property
Decomposes a rectangle into two smaller rectangles and shows the areas sum to the whole.
Recognize area as additive
Knows the area of a figure equals the sum of the areas of its non-overlapping parts.
Find the area of a rectilinear figure by decomposing it
Splits an L-shaped or composite figure into rectangles, finds each area, and sums them.
Find the perimeter of a polygon given its side lengths
Adds all side lengths to find the distance around a polygon.
Find an unknown side length given the perimeter
Works backward from a known perimeter and some side lengths to find a missing one.
Distinguish area from perimeter
Selects the right measure for a question and uses the correct units for each.
Compare rectangles with the same perimeter and different areas
Finds multiple rectangles sharing a perimeter and shows their areas differ.
Compare rectangles with the same area and different perimeters
Finds multiple rectangles sharing an area and shows their perimeters differ.
DAT
Data
(8 atoms)Read a scaled picture graph
Interprets a picture graph where each symbol represents more than one item, using the key.
Draw a scaled picture graph
Builds a picture graph with a chosen scale, including a key and partial symbols where needed.
Read a scaled bar graph
Reads values from a bar graph whose axis increases in intervals greater than one, including values between gridlines.
Draw a scaled bar graph
Builds a bar graph with an appropriate scale, labeled axes, and accurately drawn bars.
Solve one-step problems using a scaled graph
Answers how-many-more and how-many-fewer questions from a scaled picture or bar graph.
Solve two-step problems using a scaled graph
Combines two readings from a scaled graph before comparing or totalling.
Generate measurement data using fractional units
Measures a set of objects to the nearest half or quarter inch and records the results.
Show measurement data on a line plot with halves and fourths
Builds a line plot whose horizontal scale is marked in halves and fourths of a unit.
OA
Operations
(24 atoms)Interpret a product as a number of equal groups
Reads 5 × 7 as five groups of seven objects and states the total the expression describes.
Interpret a product as an array or area
Reads a product as the total in a rectangular arrangement of rows and columns.
Write a multiplication equation for an equal-groups situation
Records a situation involving equal groups as a multiplication equation with the factors in a defensible order.
Apply the commutative property of multiplication
Knows that changing the order of two factors does not change the product, and uses it to halve the facts to be learned.
Apply the associative property of multiplication
Regroups three factors to make a computation easier without changing the product.
Apply the distributive property to decompose a fact
Breaks a hard fact into two easier known facts and adds the partial products.
Interpret a quotient as the size of each share
Reads 56 ÷ 8 as the number in each group when 56 objects are shared equally among 8 groups.
Interpret a quotient as the number of shares
Reads 56 ÷ 8 as the number of groups when 56 objects are split into groups of 8.
Distinguish sharing division from grouping division
Identifies which quantity the divisor represents in a given situation and explains why the same equation can model both.
Write a division equation for a situation
Records a sharing or grouping situation as a division equation with the quantities in the correct roles.
Understand division as an unknown-factor problem
Rewrites a division as a multiplication with a missing factor and solves it that way.
Write the multiplication and division fact family for a triple
Given three related numbers, writes all four multiplication and division equations.
Solve equal-groups multiplication word problems within 100
Solves multiplication situations involving equal groups and answers with a unit.
Solve array and area multiplication word problems
Solves multiplication situations described as rows and columns or as a rectangular region.
Solve measurement-quantity multiplication word problems
Solves multiplication situations involving lengths, masses, volumes, or money rather than discrete objects.
Solve sharing division word problems within 100
Solves division situations where a total is shared among a known number of groups.
Solve grouping division word problems within 100
Solves division situations where a total is split into groups of a known size.
Solve problems with equal groups where the group size or count is unknown
Solves situations requiring division even though the story emphasizes the total and one factor.
Identify arithmetic patterns in the multiplication table
Notices regularities such as even products, column patterns, and repeated results in a multiplication table.
Explain an arithmetic pattern using properties of operations
Justifies why an observed pattern must hold, referring to the structure of the operation.
Identify patterns in even and odd products and sums
Predicts whether a product or sum will be even or odd based on the parity of the numbers involved.
Solve two-step word problems using the four operations
Solves problems requiring two operations, tracking the intermediate result and choosing operations correctly.
Represent a two-step problem with an equation using a letter for the unknown
Writes one or more equations using a letter to stand for the unknown quantity in a multi-step problem.
Assess the reasonableness of an answer using estimation
Uses rounding and mental computation to judge whether a computed answer is plausible.
FRA
Fractions
(22 atoms)Partition a whole into b equal parts and name one part as a unit fraction
Divides a shape into equal parts and names one part with the correct unit-fraction notation.
Understand the numerator as a count of unit fractions
Reads a/b as a copies of the unit fraction 1/b.
Identify the whole in a fraction context
Determines what counts as one whole in a given situation and recognizes that a fraction is meaningless without it.
Recognize non-examples of fractional partitioning
Rejects partitions with unequal parts as valid representations of a fraction.
Partition a number line from 0 to 1 into b equal parts
Divides the unit interval into equal segments and understands each segment as length 1/b.
Locate a unit fraction on a number line
Places 1/b at the endpoint of the first segment when 0 to 1 is partitioned into b equal parts.
Locate a non-unit fraction on a number line
Places a/b by iterating a copies of the unit fraction from zero.
Locate fractions greater than one on a number line
Places fractions such as 5/4 or 7/3 by continuing to iterate the unit fraction past one.
Understand a fraction as a single number
Treats a fraction as one quantity with a location, not as a pair of unrelated whole numbers.
Express whole numbers as fractions
Writes a whole number as a fraction with denominator one, and as a fraction with other denominators.
Recognize fractions equivalent to one whole
Identifies fractions where the numerator equals the denominator as equal to one.
Recognize equivalent fractions using area models
Identifies two fractions as equivalent when they cover the same amount of the same whole.
Recognize equivalent fractions on a number line
Identifies two fractions as equivalent when they land on the same point of a number line.
Generate simple equivalent fractions
Produces a fraction equivalent to a given one by splitting each part into the same number of smaller parts.
Compare fractions with the same denominator
Decides which of two fractions with a common denominator is greater by comparing numerators.
Compare fractions with the same numerator
Decides which of two fractions with the same numerator is greater by reasoning about piece size.
Justify a fraction comparison with a model or number line
Backs a comparison with a drawing, fraction strip, or number line rather than a rule alone.
Recognize that comparisons require the same whole
Knows a fraction comparison is only valid when both fractions refer to identically sized wholes.
Record fraction comparisons using >, <, or =
Writes the correct comparison symbol between two fractions and reads the statement.
Compare a fraction to one half as a benchmark
Judges whether a fraction is more or less than one half without finding a common denominator.
Order a set of fractions
Arranges three or more fractions from least to greatest using models, benchmarks, or common denominators.
Solve word problems involving fractions of a whole
Applies fraction understanding inside a context, naming the whole and interpreting the answer.
FLU
Fluency
(17 atoms)Multiply by zero
Knows any number of groups of zero, or zero groups of anything, totals zero.
Multiply by one
Knows that multiplying by one leaves a number unchanged.
Multiply by two
Recalls the twos facts by connecting them to known doubles.
Multiply by ten
Recalls the tens facts and explains the place-value pattern behind them.
Multiply by five
Recalls the fives facts, using skip counting and the half-of-ten relationship as backup.
Multiply by three
Recalls the threes facts, deriving from doubles-plus-one-group when retrieval does not fire.
Multiply by four
Recalls the fours facts, using double-double as the derivation strategy.
Multiply by six
Recalls the sixes facts, deriving from fives-plus-one-group when needed.
Multiply by nine
Recalls the nines facts, using the tens-minus-one-group relationship and the digit pattern.
Multiply by seven
Recalls the sevens facts, the set with the fewest supporting patterns.
Multiply by eight
Recalls the eights facts, using double-double-double as the derivation strategy.
Multiply by eleven and twelve
Recalls the elevens and twelves facts, beyond the grade-3 core but included in the authored course.
Recall all products of two one-digit numbers from memory
Produces any single-digit product from memory, unaided and without derivation.
Derive an unknown product from a known one
Reconstructs a fact that does not come to mind by adjusting a nearby known fact.
Divide by two, five, and ten
Recalls the easiest division facts by connecting them to the corresponding multiplication sets.
Divide using known multiplication facts
Solves any division within 100 by retrieving the related multiplication fact.
Fluently divide within 100
Computes any division within 100 accurately and quickly across all fact families.
NBT
Place Value
(7 atoms)Fluently add within 1000
Adds three-digit numbers accurately and efficiently, with any needed regrouping.
Fluently subtract within 1000
Subtracts three-digit numbers accurately and efficiently, including across zeros.
Round a whole number to the nearest ten
Rounds a two- or three-digit number to the nearest ten using place-value reasoning, including the halfway case.
Round a whole number to the nearest hundred
Rounds a three-digit number to the nearest hundred using place-value reasoning.
Use rounding to estimate a sum or difference
Rounds the numbers in a computation to produce a quick estimate before or after computing exactly.
Multiply a one-digit number by a multiple of ten
Computes products such as 7 × 40 by scaling a known basic fact.
Explain the multiples-of-ten strategy using place value
Justifies why 7 × 40 equals 7 × 4 tens, connecting the shortcut to quantity.
EQ
Equations
(5 atoms)Find the unknown in a multiplication equation
Determines the missing factor or product in a multiplication equation, whatever its position.
Find the unknown in a division equation
Determines the missing dividend, divisor, or quotient in a division equation.
Solve one-step equations mixing the four operations
Finds the unknown in a one-step equation using any of the four operations, with the unknown in any position.
Use a letter to represent the unknown in an equation
Writes and solves equations using a letter rather than a box, treating the letter as a number.
Solve two-step equations by undoing operations
Finds the unknown in equations combining two operations by undoing them in reverse order. Stretch content: two-step unknowns reach beyond the grade-3 core toward order-of-operations work — a miss here is not evidence of a grade-3 gap.