2026
AppleTree Institute for Education Innovation

Every Child Ready - Criterion 2.4

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Criterion 2.4: Mathematics

Meets Expectations

Curriculum materials develop knowledge and skills that promote mathematical thinking.

Partially Meets Expectations
Partially Meets Expectations
Meets Expectations
Meets Expectations
Meets Expectations
Partially Meets Expectations

Indicator 2.4a

Partially Meets Expectations

Curriculum materials are designed to support students in developing the foundational mathematics principles of numbers and counting.

Every Child Ready materials partially meet expectations for developing numbers and counting (2.4a). 

The materials provide structured, sequenced daily activities and instructional guides that support understanding of numbers and counting while addressing key mathematical milestones and integrating concepts such as counting and number recognition across subject areas. A detailed scope and sequence outlines differentiated content, including visuals, modeling, and small-group instruction throughout the thematic units. Additional resources, such as picture-word cards, reproducible vocabulary lists, unit grids, and scripted components, ensure that activities are structured and varied. Flexible small groups include embedded checkpoints to gauge understanding and use data to guide instruction. Opportunities for perceptual subitizing are included in some instances, though their consistency varies beyond PK3 expectations (AA pre-emerging to emerging). Subitizing skills are primarily addressed at early developmental levels, such as recognizing small quantities (e.g., 1–2 and 1–3), with more limited opportunities for PK4-level application.

Children progress through the materials to develop and deepen their understanding of number concepts, including rote counting, rational counting, quantification, and numeral identification. These concepts are reinforced through flexible small groups, learning labs, center activities, read-alouds, and other experiences. Children practice counting and number sense in both structured and playful ways, including activities such as counting, sorting, physical movements, and using dot cards. 

Examples of Counting Activities:

  • Unit 1: A counting-to-10 chant is utilized.

  • Unit 2: A Counting Dots activity uses 1–5 dot cards to help students practice counting by pointing to each dot.

  • Unit 4: The Let’s Move: Count and Move activity allows children to perform physical movements while counting each movement up to 10.

  • Read-aloud: Fruit Snack (read 1), students count the fruit using a T-chart

  • Question of the Day: Children also have opportunities to practice counting (e.g., How many puppies do you see?, Count the cameras.) and numeral identification (e.g., What number is this?) 

The materials also include activities that introduce and reinforce mathematical vocabulary, supported by teacher guidance clearly outlined in learning activity plans. Each unit provides vocabulary lists and picture word cards, and scripted lessons include a language/vocabulary focus. Centers, read-alouds, and thematic lessons emphasize mathematical vocabulary aligned with unit themes. Mathematical milestones are intentionally embedded across subject areas, allowing students to make meaningful connections between math concepts and real-world experiences. This integrated approach supports deeper understanding by showing how math is relevant in everyday life, from science and literacy to art and daily routines. The materials are age-appropriate and engaging, using hands-on exploration and purposeful play while offering appropriate challenge and rigor. Real-world contexts are evident in many units and reinforced through centers, small groups, thematic lessons, read-alouds, family/home connections, and role-playing activities. Lessons are hands-on and support exploration and play.

Examples of Real-World Integration:

  • Unit 6: Healthy Bodies, Healthy Minds - Counting Sets of Fruits and Vegetables & Seed Numbers

  • Unit 9: Our Earth - Demonstrate the order of events in a week.

Overall, Every Child Ready materials provide a well-structured and developmentally appropriate approach to numbers and counting, offering sequenced lessons, integrated cross-curricular supports, and varied hands-on activities that promote counting, number recognition, and real-world application. While students benefit from consistent opportunities to build number sense through playful practice, vocabulary development, and differentiated instruction, the materials lack structured, sequenced activities and opportunities for practice and gradual advancement in perceptual subitizing.

Indicator 2.4b

Partially Meets Expectations

Curriculum materials are designed to support students in developing the foundational mathematics principles of numerical relationships and operations.

Every Child Ready materials partially meet expectations for developing principles of numerical relationships and operations (2.4b). 

Children progress through the materials to develop their understanding of number concepts related to comparative value, combining, and separating. Instruction is supported through a balance of play-based experiences and explicit teaching across components such as read-aloud, learning lab, question of the day, centers, and flexible small groups. 

Foundational skills, including counting, quantification, and comparative value, introduced in Units 1–8, provide a basis for later concepts, with combining addressed in Unit 9 and separating in Unit 10. Across these components, children engage in activities such as counting and combining sets during read-alouds, responding to problem scenarios in the question of the day (e.g., combining or removing quantities), and participating in center-based experiences like Shake it Up Addition and Counting Sets. 

Flexible small groups further support understanding of numerical relationships and operations through targeted lessons focused on specific skills. The materials also include opportunities to develop math vocabulary, use gestures to represent numbers and operations, and recognize quantities, with teacher guidance provided through question stems and lesson supports. Real-world connections are incorporated through everyday objects, community-based contexts, and hands-on activities, helping children relate mathematical concepts to familiar experiences. Opportunities to develop conceptual subitizing are included only in limited ways within the instructional sequence.

Overall, Every Child Ready materials support children’s understanding of numerical relationships and operations by providing a coherent progression from foundational number concepts to explicit instruction in comparing, combining, and separating quantities. The materials offer a balance of play-based exploration and targeted instruction across read-alouds, question of the day, centers, and flexible small groups with strong teacher guidance, vocabulary support, and meaningful real-world applications. These experiences help children connect math concepts to everyday contexts and deepen their understanding over time. However, while combining and separating are clearly addressed in later units, the materials lack structured, sequenced activities and opportunities for practice and gradual advancement in conceptual subitizing.

Indicator 2.4c

Meets Expectations

Curriculum materials are designed to support development in geometry and spatial thinking.

Every Child Ready materials meet expectations for developing geometry and spatial thinking (2.4c). 

The materials offer a strong variety of thoughtfully designed activities that support children’s understanding of geometry concepts, primarily focusing on shape identification, shape composition, and spatial positions. Two-dimensional shapes are the primary focus for instruction; however, instructional activities that address three-dimensional shapes are included and address the E-extending level performance level. These opportunities occur in multiple contexts, including question of the day, center activities, gross motor play, pretend play, and read-alouds, and are consistently embedded across units to reinforce learning. 

Children engage in a variety of experiences that support the development of geometry and spatial thinking across instructional components. During read-alouds, lessons such as Up Down Around and Through (Read 1) use gestures, objects, and clear language to introduce positional words, followed by opportunities for children to demonstrate understanding through manipulatives, such as counting bears. Additional read-alouds, including Get in Shape, Go Outside and Play, and Shape Builders, further support geometric concepts. In the learning lab, children explore ideas such as symmetry and shape composition through activities like shape art, shape symmetry, and gluing tessellations. Gross motor activities provide opportunities to practice positional language through movement, such as above and below, and other positions. Centers, particularly the investigation location, include hands-on activities such as constructing shapes in sand, building 2D shapes, sorting shapes, and completing puzzles. Flexible small groups also provide targeted instruction in geometry and spatial sense, with lessons focused on skills such as shape identification, composition, and spatial relationships.

Units 3, 9, and 10 include strong opportunities for spatial reasoning, with thematic contexts such as construction, maps/navigation, and space providing meaningful, age-appropriate connections. Examples include Unit 1’s flashlight and shadow activity and Unit 3’s blueprint-to-building tasks.

Teacher guidance is comprehensive, including scripted lessons and detailed instructions for preparation, materials, and question prompts. The materials provide explicit support for teaching geometry vocabulary and gestures, including Unit Vocabulary, picture-word cards, and posters. Vocabulary instruction is robust and scaffolded, and teacher scripts include cues for gestures and language development.

The materials also incorporate real-world connections to make learning more meaningful. Activities in centers and gross motor play frequently use familiar objects and everyday routines to help children relate geometry and spatial concepts to their environment. These connections enhance engagement.

Overall, Every Child Ready materials provide coherent and engaging support for instruction in geometry and spatial thinking by offering frequent, varied, and well-supported opportunities for children to explore shape and space across instructional contexts. Geometry concepts are consistently reinforced through read-alouds, learning lab, centers, gross motor activities, and flexible small groups, with a strong emphasis on two-dimensional shapes and meaningful exposure to three-dimensional shapes. The materials effectively integrate spatial reasoning through thematic units and real-world contexts, while comprehensive teacher guidance, explicit vocabulary instruction, and the use of gestures and visuals support clear and accessible instruction.

Indicator 2.4d

Meets Expectations

Curriculum materials are designed to support development in measurement and data.

Every Child Ready materials meet expectations for developing measurement and data (2.4d). 

The materials offer a variety of thoughtfully designed activities that support children’s understanding of measurement and data analysis, balancing play-based learning with explicit instruction. Instruction is embedded across read-aloud, learning lab, question of the day, centers, and flexible small groups. 

Children engage in a range of experiences that support the development of measurement and data concepts across instructional components. During read-alouds, lessons such as How to Make an Awesome Cake? and How Big Were Dinosaurs? include opportunities for children to measure objects, while Kelsie Likes to Order supports sorting and organizing. In the learning lab, children explore measurement using both standard and nonstandard units as they compare length, weight, and volume through activities such as using a balance, short and long, Which is heavier?, measuring feet, and class height. Question of the day provides regular opportunities to use comparison language and represent data through simple graphs, with prompts that encourage children to share preferences and discuss results, sometimes supported by shared writing. Investigation location centers include hands-on activities such as measuring length, comparing objects, exploring capacity, and graphing. Flexible small groups offer targeted instruction in measurement and data, with lessons focused on skills such as comparing weight, understanding graphs, and measuring using nonstandard units like blocks, cubes, and footsteps.

The materials include structured lessons, scripted guidance, and clear unit descriptions aligned to standards for measurement and data. Teachers receive support in introducing and reinforcing vocabulary such as longer, shorter, heavier, lighter, full, and empty, as well as data-related terms such as more, less, equal, sort, and graph. Gestures, songs, storytelling, and guided discovery further support concept development.

The materials offer meaningful opportunities for children to connect measurement and data concepts to real-world experiences they encounter every day. Through hands-on and pretend play activities such as cooking, building, shopping, and sensory exploration, children apply measurement concepts in familiar and purposeful contexts. Data concepts are introduced through sorting, counting, and categorizing tasks, including graphing class preferences and weather patterns, and through discussions of simple representations that support early mathematical reasoning.

Overall, Every Child Ready materials support development in measurement and data by providing frequent, developmentally appropriate opportunities for children to explore these concepts across instructional contexts. The materials balance play-based exploration with explicit instruction and offer strong teacher guidance, clear vocabulary support, and meaningful real-world applications. Children engage in hands-on measurement experiences and data representation activities that build foundational understanding and support early mathematical thinking in coherent and engaging ways.

Indicator 2.4e

Meets Expectations

Curriculum materials are designed to support development in patterns, structure and algebraic thinking.

Every Child Ready materials meet expectations for developing patterns, structure, and algebraic thinking (2.4e). 

The materials offer a wide variety of thoughtfully designed activities that support children’s understanding of patterns, functions, and algebra, with a primary focus on classification, ordering, and pattern recognition. Materials include play-based learning, explicit instruction strategies during read-aloud, gross motor activities, learning lab, question of the day, centers, and flexible small groups.

Children engage in a variety of experiences that support the development of patterning, sorting, and ordering across instructional components. During read-alouds, texts such as Pattern Fish, I Got the Rhythm, Hide and Seek, and Lots and Lots of Zebra Stripes introduce patterns, with follow-up activities that allow children to copy and extend patterns using multiple modalities. Gross motor activities reinforce these skills through movement, rhythm, and coordinated patterns. Question of the day provides opportunities for children to copy and extend patterns through shared writing and sequencing activities, such as identifying what comes next or ordering objects by size. In the learning lab, children create patterns through hands-on STEM activities like bead bracelets and bead caterpillars. Investigation location centers include play-based activities such as pattern play and advanced patterns, and flexible small groups provide targeted instruction in patterning, sorting, and ordering, with each lesson focused on a specific mathematical skill.

Materials provide meaningful opportunities for children to identify patterns and sequences in familiar contexts, such as classroom routines and daily experiences. The activities help children connect mathematical ideas to their environment and reinforce understanding through authentic application. Evidence of this appears in Unit 2, Week 3, Day 13 during the Family & Community STEM “Shape Patterns” activity, in which children extend shape patterns and answer prompts such as What comes next? Similarly, Unit 4, Week 1, Day 5 includes “STEM: Patterns with Objects,” where children create repeating patterns with objects such as spoons, forks, and crayons and practice recognizing how patterns repeat. Instructional materials contain aligned teacher guidance that explicitly teaches and reinforces mathematical vocabulary such as copy, pattern, repeat, directions, down, and up.

Overall, Every Child Ready materials develop patterns, structure, and early algebraic thinking by providing frequent and varied opportunities for children to explore patterning, classification, and ordering across instructional contexts. The curriculum balances play-based exploration with explicit instruction through read-alouds, gross motor activities, learning lab, question of the day, centers, and flexible small groups, allowing children to engage with patterns using multiple modalities. Hands-on activities and real-world connections support children in identifying, copying, extending, and creating patterns in familiar contexts, while clear teacher guidance and intentional vocabulary instruction reinforce understanding. Together, these features provide coherent, developmentally appropriate support for early algebraic thinking.

Indicator 2.4f

Partially Meets Expectations

Curriculum materials are designed to build knowledge through key mathematical processes and skills.

Every Child Ready materials partially meet expectations for developing mathematical processes and skills (2.4f). 

Materials include some math activities that support the development of problem-solving skills through hands-on, collaborative experiences. Children engage in tasks such as copying and extending patterns in teamwork patterns (gross motor), planning and constructing structures in I Can Build (learning lab), and predicting and testing volume in flexible small groups. Additional activities, such as Copy & Extend Simple Patterns with objects and Natural Wonders of the World Matching, provide opportunities to identify, extend, and explain patterns, while experiences like taking one cube away introduce early reasoning about quantity and change. These activities support the development of emerging reasoning and strategies.

Children also have opportunities to use mathematical language during discussions and problem-solving. Vocabulary is embedded within flexible small groups and reinforced across components such as question of the day, read-alouds, and learning labs. For example, children use terms such as corner, sides, and square when constructing shapes, and words like fewer, less, and take away when exploring changes in quantity. Mathematical ideas are represented in multiple ways, including visual, physical, and verbal forms, and are connected across domains through activities such as movement-based patterning.

During learning lab, children engage in increasingly complex investigations that involve planning, predicting, testing, revising, and explaining. This progression supports sustained exploration, growing independence, and deeper application of reasoning and representation skills over time.

Overall, Every Child Ready materials include some activities that support problem-solving, early reasoning, mathematical language, and connections across domains. These opportunities provide initial exposure to mathematical thinking and discourse, including patterning, volume exploration, and composing and decomposing sets. Further development of depth, variety, and sustained investigation within these experiences will support children in developing mathematical processes and skills in more complex and integrated ways.