Curriculum / Global Curriculum / Grade 1

Grade 1 Mathematics.

10textbooks

250lessons

71competencies

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The whole year, lesson by lesson.

Textbook 1Numbers from 0 to 10

4 chapters · 25 lessons

Chapter 1

Counting Collections from 1 to 5

Chapter 2

Counting Collections from 6 to 10

Chapter 3

Comparing Numbers to 10

Chapter 4

Zero and Number Order from 0 to 10

Textbook 2Numbers from 11 to 20

4 chapters · 25 lessons

Chapter 1

Making a Group of Ten

Chapter 2

Numbers from 11 to 15

Chapter 3

Numbers from 16 to 20

Chapter 4

Ordering and One More or One Less within 20

Textbook 3Addition and Number Bonds within 10

4 chapters · 25 lessons

Chapter 1

Addition as Joining

Chapter 2

Number Bonds to 10

Chapter 3

Addition Strategies within 10

Chapter 4

Addition Stories within 10

Textbook 4Subtraction and the Addition–Subtraction Relationship

4 chapters · 25 lessons

Chapter 1

Subtraction as Taking Away

Chapter 2

Subtraction as Comparison

Chapter 3

Fact Families and Related Number Bonds

Chapter 4

Mixed Addition and Subtraction within 10

Textbook 5Addition and Subtraction within 20

4 chapters · 25 lessons

Chapter 1

Counting On to Add within 20

Chapter 2

Making Ten to Add

Chapter 3

Subtracting within 20

Chapter 4

Addition and Subtraction Problems within 20

Textbook 6Numbers to 100 and Place Value

4 chapters · 25 lessons

Chapter 1

Counting from 21 to 50

Chapter 2

Counting to 100 by Ones and Tens

Chapter 3

Tens and Ones

Chapter 4

Comparing and Ordering Numbers to 100

Textbook 7Patterns and Equality

4 chapters · 25 lessons

Chapter 1

Repeating Shape and Color Patterns

Chapter 2

Sound, Movement, and Position Patterns

Chapter 3

Simple Number Patterns

Chapter 4

Equality as Balance

Textbook 8Shapes, Position, and Spatial Composition

4 chapters · 25 lessons

Chapter 1

Two-Dimensional Shapes

Chapter 2

Three-Dimensional Shapes and Objects

Chapter 3

Position and Direction

Chapter 4

Composing Shapes and Structures

Textbook 9Length, Weight, Capacity, and Time

4 chapters · 25 lessons

Chapter 1

Comparing and Measuring Length

Chapter 2

Comparing Weight

Chapter 3

Comparing Capacity

Chapter 4

Time to the Hour and Half-Hour

Textbook 10Sorting, Picture Graphs, Money, and Everyday Mathematics

4 chapters · 25 lessons

Chapter 1

Sorting, Classifying, and Tallying

Chapter 2

Simple Picture Graphs

Chapter 3

Recognizing Coins and Making Simple Amounts

Chapter 4

Everyday Mathematical Modeling

Every coin is a 15-minute lesson.

Explained simply, shown with pictures, then put to the test. Stars are chapter reviews. The trophy is the final review.

See how a lesson works

Every competency, covered.

The 71 competencies set for Grade 1 Mathematics, and every one has lessons behind it.

Numbers from 0 to 10

19 competencies

Count objects accurately using one number word for each object.
Explain that the final number said tells how many objects are in the collection.
Recognize, read, and write numerals from 0 to 100.
Match a numeral, spoken number word, and represented quantity.
Count forward from a given number within 100.
Count backward within 20 and from selected decade numbers.
Recognize zero as representing no objects.
Compare two collections using more, fewer, and the same number.
Compare written numbers using greater than, less than, and equal to in supported contexts.
Order numbers from least to greatest and greatest to least.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Explain equality as two quantities having the same value.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Numbers from 11 to 20

21 competencies

Recognize, read, and write numerals from 0 to 100.
Match a numeral, spoken number word, and represented quantity.
Count forward from a given number within 100.
Count backward within 20 and from selected decade numbers.
Recognize zero as representing no objects.
Compare two collections using more, fewer, and the same number.
Compare written numbers using greater than, less than, and equal to in supported contexts.
Order numbers from least to greatest and greatest to least.
Represent two-digit numbers as groups of ten and leftover ones.
Explain that the two digits of a two-digit number represent tens and ones.
Count groups of ten to 100.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Recognize and extend simple number patterns based on counting forward or backward.
Describe an informal pattern rule using words.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Addition and Number Bonds within 10

17 competencies

Identify the important quantities in an everyday mathematical situation.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Check whether a mathematical model matches the represented real situation.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Explain addition as joining, putting together, or finding a total.
Add and subtract accurately within 10.
Use counting on, counting back, making ten, doubles, and related facts as supported strategies.
Select addition or subtraction to represent a one-step situation.
Make sense of a simple problem by identifying what is happening and what must be found.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.

Subtraction and the Addition–Subtraction Relationship

20 competencies

Identify the important quantities in an everyday mathematical situation.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Model fair sharing concretely without introducing formal division notation.
Check whether a mathematical model matches the represented real situation.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Explain subtraction as taking away, separating, or finding how many more or fewer.
Add and subtract accurately within 10.
Use counting on, counting back, making ten, doubles, and related facts as supported strategies.
Explain the relationship between an addition fact and its related subtraction facts.
Select addition or subtraction to represent a one-step situation.
Make sense of a simple problem by identifying what is happening and what must be found.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Addition and Subtraction within 20

19 competencies

Identify the important quantities in an everyday mathematical situation.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Model fair sharing concretely without introducing formal division notation.
Check whether a mathematical model matches the represented real situation.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Add and subtract accurately within 20 using number bonds and visual strategies.
Use counting on, counting back, making ten, doubles, and related facts as supported strategies.
Explain the relationship between an addition fact and its related subtraction facts.
Select addition or subtraction to represent a one-step situation.
Make sense of a simple problem by identifying what is happening and what must be found.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Numbers to 100 and Place Value

18 competencies

Recognize, read, and write numerals from 0 to 100.
Match a numeral, spoken number word, and represented quantity.
Count forward from a given number within 100.
Count backward within 20 and from selected decade numbers.
Compare two collections using more, fewer, and the same number.
Compare written numbers using greater than, less than, and equal to in supported contexts.
Order numbers from least to greatest and greatest to least.
Represent two-digit numbers as groups of ten and leftover ones.
Explain that the two digits of a two-digit number represent tens and ones.
Count groups of ten to 100.
Recognize and extend simple number patterns based on counting forward or backward.
Describe an informal pattern rule using words.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Patterns and Equality

16 competencies

Count forward from a given number within 100.
Count backward within 20 and from selected decade numbers.
Count groups of ten to 100.
Recognize, describe, copy, and extend a simple repeating pattern.
Identify the repeating unit in a shape, color, sound, movement, or object pattern.
Recognize and extend simple number patterns based on counting forward or backward.
Describe an informal pattern rule using words.
Explain equality as two quantities having the same value.
Determine whether a complete addition or subtraction statement is true.
Use a balance model to represent equal quantities.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Shapes, Position, and Spatial Composition

16 competencies

Recognize and name circles, triangles, squares, rectangles, and other familiar two-dimensional shapes.
Recognize and name cubes, rectangular prisms, spheres, cylinders, cones, and other familiar three-dimensional shapes.
Distinguish a flat shape from a solid object.
Use positional language including above, below, beside, between, inside, outside, in front of, and behind.
Follow and describe simple movement and position instructions.
Compose a larger two-dimensional shape from smaller shapes.
Compose a larger three-dimensional structure from solid shapes or blocks.
Identify familiar shapes in different sizes, orientations, and real-world objects.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.

Length, Weight, Capacity, and Time

17 competencies

Compare and order objects directly by length or height.
Measure length using repeated equal nonstandard units without gaps or overlaps.
Compare and order objects by weight using direct handling or a balance.
Compare containers by capacity using direct filling or matching.
Select appropriate comparison language such as longer, shorter, taller, heavier, lighter, holds more, and holds less.
Read and represent time to the hour on analog and digital clocks.
Read and represent time to the half-hour on analog and digital clocks.
Connect common daily events to approximate clock times.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Sorting, Picture Graphs, Money, and Everyday Mathematics

30 competencies

Sort objects into categories using one stated attribute.
Explain the sorting rule used.
Record category counts using drawings, marks, or tallies.
Construct a simple picture graph in which one picture represents one object.
Interpret a simple picture graph or tally chart.
Compare categories using more, fewer, the same, most, and least.
Ask and answer a simple question using collected data.
Recognize common local coins or value-labeled currency models.
State the value shown on a coin or coin model.
Count a small collection of coins with supported values.
Make a simple money amount using one or more coins.
Compare two simple money amounts.
Sort pictured items into needs and wants as a classification context without treating financial judgment as a mathematics calculation.
Identify the important quantities in an everyday mathematical situation.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Model fair sharing concretely without introducing formal division notation.
Check whether a mathematical model matches the represented real situation.
Explain addition as joining, putting together, or finding a total.
Add and subtract accurately within 10.
Add and subtract accurately within 20 using number bonds and visual strategies.
Use counting on, counting back, making ten, doubles, and related facts as supported strategies.
Make sense of a simple problem by identifying what is happening and what must be found.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

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The whole year, lesson by lesson.

Textbook 1Numbers from 0 to 10

4 chapters · 25 lessons

Chapter 1

Counting Collections from 1 to 5

Chapter 2

Counting Collections from 6 to 10

Chapter 3

Comparing Numbers to 10

Chapter 4

Zero and Number Order from 0 to 10

Textbook 2Numbers from 11 to 20

4 chapters · 25 lessons

Chapter 1

Making a Group of Ten

Chapter 2

Numbers from 11 to 15

Chapter 3

Numbers from 16 to 20

Chapter 4

Ordering and One More or One Less within 20

Textbook 3Addition and Number Bonds within 10

4 chapters · 25 lessons

Chapter 1

Addition as Joining

Chapter 2

Number Bonds to 10

Chapter 3

Addition Strategies within 10

Chapter 4

Addition Stories within 10

Textbook 4Subtraction and the Addition–Subtraction Relationship

4 chapters · 25 lessons

Chapter 1

Subtraction as Taking Away

Chapter 2

Subtraction as Comparison

Chapter 3

Fact Families and Related Number Bonds

Chapter 4

Mixed Addition and Subtraction within 10

Textbook 5Addition and Subtraction within 20

4 chapters · 25 lessons

Chapter 1

Counting On to Add within 20

Chapter 2

Making Ten to Add

Chapter 3

Subtracting within 20

Chapter 4

Addition and Subtraction Problems within 20

Textbook 6Numbers to 100 and Place Value

4 chapters · 25 lessons

Chapter 1

Counting from 21 to 50

Chapter 2

Counting to 100 by Ones and Tens

Chapter 3

Tens and Ones

Chapter 4

Comparing and Ordering Numbers to 100

Textbook 7Patterns and Equality

4 chapters · 25 lessons

Chapter 1

Repeating Shape and Color Patterns

Chapter 2

Sound, Movement, and Position Patterns

Chapter 3

Simple Number Patterns

Chapter 4

Equality as Balance

Textbook 8Shapes, Position, and Spatial Composition

4 chapters · 25 lessons

Chapter 1

Two-Dimensional Shapes

Chapter 2

Three-Dimensional Shapes and Objects

Chapter 3

Position and Direction

Chapter 4

Composing Shapes and Structures

Textbook 9Length, Weight, Capacity, and Time

4 chapters · 25 lessons

Chapter 1

Comparing and Measuring Length

Chapter 2

Comparing Weight

Chapter 3

Comparing Capacity

Chapter 4

Time to the Hour and Half-Hour

Textbook 10Sorting, Picture Graphs, Money, and Everyday Mathematics

4 chapters · 25 lessons

Chapter 1

Sorting, Classifying, and Tallying

Chapter 2

Simple Picture Graphs

Chapter 3

Recognizing Coins and Making Simple Amounts

Chapter 4

Everyday Mathematical Modeling

Every competency, covered.

The 71 competencies set for Grade 1 Mathematics, and every one has lessons behind it.

Numbers from 0 to 10

19 competencies

Count objects accurately using one number word for each object.
Explain that the final number said tells how many objects are in the collection.
Recognize, read, and write numerals from 0 to 100.
Match a numeral, spoken number word, and represented quantity.
Count forward from a given number within 100.
Count backward within 20 and from selected decade numbers.
Recognize zero as representing no objects.
Compare two collections using more, fewer, and the same number.
Compare written numbers using greater than, less than, and equal to in supported contexts.
Order numbers from least to greatest and greatest to least.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Explain equality as two quantities having the same value.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Numbers from 11 to 20

21 competencies

Recognize, read, and write numerals from 0 to 100.
Match a numeral, spoken number word, and represented quantity.
Count forward from a given number within 100.
Count backward within 20 and from selected decade numbers.
Recognize zero as representing no objects.
Compare two collections using more, fewer, and the same number.
Compare written numbers using greater than, less than, and equal to in supported contexts.
Order numbers from least to greatest and greatest to least.
Represent two-digit numbers as groups of ten and leftover ones.
Explain that the two digits of a two-digit number represent tens and ones.
Count groups of ten to 100.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Recognize and extend simple number patterns based on counting forward or backward.
Describe an informal pattern rule using words.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Addition and Number Bonds within 10

17 competencies

Identify the important quantities in an everyday mathematical situation.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Check whether a mathematical model matches the represented real situation.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Explain addition as joining, putting together, or finding a total.
Add and subtract accurately within 10.
Use counting on, counting back, making ten, doubles, and related facts as supported strategies.
Select addition or subtraction to represent a one-step situation.
Make sense of a simple problem by identifying what is happening and what must be found.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.

Subtraction and the Addition–Subtraction Relationship

20 competencies

Identify the important quantities in an everyday mathematical situation.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Model fair sharing concretely without introducing formal division notation.
Check whether a mathematical model matches the represented real situation.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Explain subtraction as taking away, separating, or finding how many more or fewer.
Add and subtract accurately within 10.
Use counting on, counting back, making ten, doubles, and related facts as supported strategies.
Explain the relationship between an addition fact and its related subtraction facts.
Select addition or subtraction to represent a one-step situation.
Make sense of a simple problem by identifying what is happening and what must be found.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Addition and Subtraction within 20

19 competencies

Identify the important quantities in an everyday mathematical situation.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Model fair sharing concretely without introducing formal division notation.
Check whether a mathematical model matches the represented real situation.
Compose and decompose numbers to 10 in more than one way.
Represent number bonds using objects, pictures, and diagrams.
Add and subtract accurately within 20 using number bonds and visual strategies.
Use counting on, counting back, making ten, doubles, and related facts as supported strategies.
Explain the relationship between an addition fact and its related subtraction facts.
Select addition or subtraction to represent a one-step situation.
Make sense of a simple problem by identifying what is happening and what must be found.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Numbers to 100 and Place Value

18 competencies

Recognize, read, and write numerals from 0 to 100.
Match a numeral, spoken number word, and represented quantity.
Count forward from a given number within 100.
Count backward within 20 and from selected decade numbers.
Compare two collections using more, fewer, and the same number.
Compare written numbers using greater than, less than, and equal to in supported contexts.
Order numbers from least to greatest and greatest to least.
Represent two-digit numbers as groups of ten and leftover ones.
Explain that the two digits of a two-digit number represent tens and ones.
Count groups of ten to 100.
Recognize and extend simple number patterns based on counting forward or backward.
Describe an informal pattern rule using words.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Patterns and Equality

16 competencies

Count forward from a given number within 100.
Count backward within 20 and from selected decade numbers.
Count groups of ten to 100.
Recognize, describe, copy, and extend a simple repeating pattern.
Identify the repeating unit in a shape, color, sound, movement, or object pattern.
Recognize and extend simple number patterns based on counting forward or backward.
Describe an informal pattern rule using words.
Explain equality as two quantities having the same value.
Determine whether a complete addition or subtraction statement is true.
Use a balance model to represent equal quantities.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Shapes, Position, and Spatial Composition

16 competencies

Recognize and name circles, triangles, squares, rectangles, and other familiar two-dimensional shapes.
Recognize and name cubes, rectangular prisms, spheres, cylinders, cones, and other familiar three-dimensional shapes.
Distinguish a flat shape from a solid object.
Use positional language including above, below, beside, between, inside, outside, in front of, and behind.
Follow and describe simple movement and position instructions.
Compose a larger two-dimensional shape from smaller shapes.
Compose a larger three-dimensional structure from solid shapes or blocks.
Identify familiar shapes in different sizes, orientations, and real-world objects.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.

Length, Weight, Capacity, and Time

17 competencies

Compare and order objects directly by length or height.
Measure length using repeated equal nonstandard units without gaps or overlaps.
Compare and order objects by weight using direct handling or a balance.
Compare containers by capacity using direct filling or matching.
Select appropriate comparison language such as longer, shorter, taller, heavier, lighter, holds more, and holds less.
Read and represent time to the hour on analog and digital clocks.
Read and represent time to the half-hour on analog and digital clocks.
Connect common daily events to approximate clock times.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.

Sorting, Picture Graphs, Money, and Everyday Mathematics

30 competencies

Sort objects into categories using one stated attribute.
Explain the sorting rule used.
Record category counts using drawings, marks, or tallies.
Construct a simple picture graph in which one picture represents one object.
Interpret a simple picture graph or tally chart.
Compare categories using more, fewer, the same, most, and least.
Ask and answer a simple question using collected data.
Recognize common local coins or value-labeled currency models.
State the value shown on a coin or coin model.
Count a small collection of coins with supported values.
Make a simple money amount using one or more coins.
Compare two simple money amounts.
Sort pictured items into needs and wants as a classification context without treating financial judgment as a mathematics calculation.
Identify the important quantities in an everyday mathematical situation.
Represent an everyday situation using objects, drawings, or a number sentence.
Use counting, addition, subtraction, comparison, measurement, shape, data, or money to solve a direct real-world problem.
Interpret a mathematical answer using the language of the original situation.
Model fair sharing concretely without introducing formal division notation.
Check whether a mathematical model matches the represented real situation.
Explain addition as joining, putting together, or finding a total.
Add and subtract accurately within 10.
Add and subtract accurately within 20 using number bonds and visual strategies.
Use counting on, counting back, making ten, doubles, and related facts as supported strategies.
Make sense of a simple problem by identifying what is happening and what must be found.
Represent a problem using objects, actions, drawings, ten-frames, number bonds, or a simple number sentence.
Explain a chosen solution strategy using words, pictures, or actions.
Check an answer by recounting, reconstructing the situation, or using a related representation.
Decide whether an answer is reasonable for the original situation.
Compare two concrete solution strategies.
Identify and correct a simple counting, representation, or operation error.