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Math curriculum

K Math Units, Skills, and Practice

This K math curriculum is organized into 16 units, 39 skills, and 171 practice steps. Current topic coverage includes Count to 10, Count to 20, Compare Sets, and Make and Break. Each unit includes guided lesson steps, skill practice, and a clear path to the next concept.

Curriculum Snapshot

Units
16
Skills
39
Steps
171
Questions
3229

K Math Units

Open any unit to see the full lesson path. The summaries below are rendered in static HTML for clear curriculum discovery.

  • 1

    Unit 1

    Counting and Cardinality to 10

    Students build steady counting, match one number to one object, and tell how many are in a set to 10. Practice is visual, concrete, and short.

    Count objects to 5Count objects to 10

    First steps

    1. 1Count 1 to 3
    2. 2Count to 5
    3. 3Match number to set
  • 2

    Unit 2

    Counting and Cardinality Foundations

    Students build steady counting, one-to-one correspondence, and cardinality with objects and pictures. They connect spoken number words, numerals, and sets through short visual and interactive practice.

    Counting and cardinalityOrdinal positions 1st–10th

    First steps

    1. 1Count forward to 10
    2. 2Count objects to 10
    3. 3Answer how many
    4. 4Match set to numeral
    5. 5Count forward to 20
  • 3

    Unit 3

    Comparing and Ordering Sets

    Students compare groups using more, fewer, and equal, then order sets from fewest to most. They use counting and visual matching to justify their choices.

    Comparing sets

    First steps

    1. 1Compare two sets
    2. 2Use comparison words
    3. 3Compare by matching
    4. 4Order three sets
    5. 5Compare groups in scenes
  • 4

    Unit 4

    Compose, Decompose, and Teen Numbers

    Students break apart and put together numbers, first within 5 and then within 10. They also see teen numbers as one ten and some ones with concrete models.

    Compose and decompose to 10

    First steps

    1. 1Break apart sets to 5
    2. 2Make a total in different ways
    3. 3Find the missing part
    4. 4Make 10 with pairs
    5. 5See teen numbers as ten and ones
  • 5

    Unit 5

    Addition Meaning and Commutative Structure

    Students model joining situations, connect pictures to addition sentences, and notice that changing the order of addends does not change the total. They use short equations with choices and visual supports.

    Addition meaning and commutative structureRelated facts and fact families

    First steps

    1. 1Join two groups
    2. 2Match drawings to addition
    3. 3Swap the order
    4. 4Find flipped addition pairs
    5. 5Find a missing number in a flipped equation
  • 6

    Unit 6

    Subtraction Meaning and Story Models

    Students model separating situations, choose whether a story is joining or separating, and represent stories with pictures and equations. They begin to solve simple stories within 10 using objects and drawings.

    Represent a storyChoose the operation

    First steps

    1. 1Show a story with objects
    2. 2Use a drawing for a story
    3. 3Choose the matching number sentence
    4. 4Model and solve within 10
    5. 5Mixed story review
  • 7

    Unit 7

    Patterns and Early Algebra

    Students copy, extend, and describe repeating and growing patterns, then find missing terms. They talk about what repeats or grows and use that regularity to predict what comes next.

    Repeating patternsGrowing patternsMissing terms

    First steps

    1. 1Copy a simple pattern
    2. 2Extend a repeating pattern
    3. 3Find a missing item in a pattern
    4. 4Notice the unit of repeat
    5. 5Mixed repeating patterns
  • 8

    Unit 8

    Position and Shapes

    Students use positional words, identify and describe 2D and 3D shapes in abstract and real-world settings, and build shapes from parts. They learn with scenes, photos, and hands-on composition tasks.

    Positional words2D shapes in the real world3D shapes in the real worldCompose and decompose shapesEqual parts and halves

    First steps

    1. 1Learn position words
    2. 2Choose the object by position
    3. 3Follow audio directions
    4. 4Use positions in mixed scenes
    5. 5Match a photo to a 2D shape
  • 9

    Unit 9

    Time, Calendar, and Informal Measurement

    Students compare objects by length, weight, and capacity, use nonstandard units, and connect time to daily routines and clocks. The unit also includes optional money as counting objects in play-store contexts within 10.

    Compare by attributeCalendar and timeMoney as counting objects

    First steps

    1. 1Compare two objects
    2. 2Order three objects
    3. 3Measure with nonstandard units
    4. 4Choose the right attribute
    5. 5Measurement review
  • 10

    Unit 10

    Sorting, Data Displays, and Chance

    Students sort objects by attributes, place items in Venn diagrams, read simple picture and tally displays, and use basic chance words. They classify, count, and compare results from concrete collections.

    Sort and classifyVenn diagram sortingPicture and tally displaysChance language

    First steps

    1. 1Sort by one attribute
    2. 2Resort by a different attribute
    3. 3Count and compare sorted groups
    4. 4Sorting review
    5. 5Sort into two circles
  • 11

    Unit 11

    Communication and Mathematical Reasoning

    Students explain choices with short spoken reasoning, classify objects, compare attributes, and identify regularity in patterns. The focus is on saying or selecting why something belongs, matches, or comes next.

    Describe a choiceCompare and classifyIdentify regularity

    First steps

    1. 1Name what you picked
    2. 2Give a simple reason
    3. 3Match a choice to its reason
    4. 4Share thinking with a partner prompt
    5. 5Why are they in the same group
  • 12

    Unit 12

    Story Problems Within 10

    Students solve joining, separating, comparing, and simple two-action stories within 10 using objects, drawings, and matching number sentences. Problems stay concrete and visual, with short audio-first prompts.

    Join and separate storiesTwo-action stories

    First steps

    1. 1Model a joining story
    2. 2Model a separating story
    3. 3Model a compare story
    4. 4Choose a matching number sentence
    5. 5Mixed story practice
  • 13

    Unit 13

    Connections in Real Contexts

    Students connect counting, shapes, patterns, and measurement ideas to real scenes from school, nature, toys, food, and sports. This unit strengthens transfer by revisiting familiar ideas in everyday situations.

    Counting in contextShapes in contextPatterns in context

    First steps

    1. 1Count objects in a real scene
    2. 2Match a scene to a numeral
    3. 3Compare groups in context
    4. 4Counting context review
    5. 5Find flat shapes in objects
  • 14

    Unit 14

    Extension: Number Fluency and Teen Number Mastery

    Students deepen number sense through faster recognition, flexible composing within 10, and stronger teen-number reasoning with ten-and-ones models. This extension stays concrete while increasing the need for efficient strategies.

    See small groups quicklyMake 10 flexibly

    First steps

    1. 1See groups to 5 quickly
    2. 2See 5 and some more
    3. 3Quick image review
    4. 4Use quick groups to help addition
    5. 5Choose a partner of 10
  • 15

    Unit 15

    Stretch: Addition and Subtraction Strategies

    Students use pictures, known combinations, and related facts to solve within 10 with more independence. They compare strategies and choose efficient representations while staying grounded in concrete models.

    Choose a helpful strategyExplain why a strategy works

    First steps

    1. 1Use count on for addition
    2. 2Use count back for subtraction
    3. 3Use a known fact
    4. 4Choose the best strategy for a problem
    5. 5Why count on works
  • 16

    Unit 16

    Year-end Synthesis: Mixed Math Mastery Challenges

    Students bring together counting, operations, geometry, measurement, data, patterns, and reasoning in mixed review and richer applications. Tasks stay developmentally appropriate for Kindergarten while expecting stronger independence, flexible thinking, and transfer.

    Mixed math centersMastery challenge stories and logic

    First steps

    1. 1Count and compare in one task
    2. 2Use shape and position together
    3. 3Use pattern and data together
    4. 4Use measure and time together
    5. 5Use two clues to find the answer