Pre-K - Math

In addition to the HFCS ‘Āina-based Learning Competencies (click to view), the PK-12 Mathematics Kahua is grounded in the belief that the purpose of math is to search for patterns and relationships in number, shapes and functions, to better appreciate the beauty of math in our world. It is the kuleana of every student to explore mathematics in their daily lives on ‘āina and share mo’olelo of their understanding. End of school year grade level benchmarks were crosswalked with the HFCS Vision of the Graduate (2013), CCSS, Nā Ana Aʻo Hawaiʻi DOE Kula Kaiapuni Content Standards and Benchmarks (Nā Ana ma ka Papa K-12), Student Achievement Partners (SAP) Essential Standards documents K-12, NCTM Catalyzing Change. K-12, Prioritizing Critical Areas In your Math Curriculum K-8 Prerequisites for Success, ALN High Leverage Concepts, CA Digital Learning Integration & Standard Guidance Jo Boaler & Cathy Williams and were prioritized using the following criteria (Reeves, 2004): 1) Endurance, 2) Leverage, 3) Readiness, 4) Assessment Requirements.

I. Sense of Place: ʻĀina Learning Competencies

Overarching goals for ʻāina-based curriculum designed to connect the learner to their cultural, linguistic and physical community

II. Sense of Belonging: Mathematical Practices - http://www.corestandards.org/Math/Practice/

Varieties of expertise students should develop and rest on important processes and proficiencies with longstanding importance in mathematics education.

III. Sense of Belonging: Discovering Shape and Space

See, use, create and measure shapes from parts. See equal shapes inside other shapes. See fractions in shapes and squares in an array. Explore shapes in the world.

IV. Sense of Community: Taking Wholes Apart, Putting Parts Together

Identifying and creating patterns. Modeling with numbers and exploring the place and position of numbers. Explore number strategies and skip counting patterns.

V. Sense of Community: Exploring Changing Quantities

Measuring and ordering quantities. Counting and comparing objects. Exploring money, clocks and time. Reason about equality and problem-solve with measures.

VI. Sense of Responsibility: Communicating Stories with Data

Measure, order, sort, describe, represent and make sense of data. Looking for patterns and relationships by identifying, measuring and comparing objects.

M.PK.1Learn about my various moʻokūʻauhau (i.e. my ʻohana, my school, my home/school ʻāina).
M.PK.2Use ʻōlelo Hawaiʻi words to kilo, identify, name, and read environmental indicators (i.e. senses, intuition, prior knowledge) in order to make inferences and predictions.
M.PK.3Demonstrate loina when participating in cultural protocol (i.e. schoolwide piko, oli mahalo, puka kula, kamaʻāina/malihini).
M.PK.4Frequently interact with my ʻāina at various times of day and year to develop a relationship with ʻāina.
M.PK.5Celebrate the accomplishments of historical and contemporary Hawaiian community leaders and emulate their actions (i.e. aliʻi, ʻōpūaliʻi/kapu aloha, kiaʻi).

M.PK.6Make sense of problems and persevere in solving them.
M.PK.7Reason abstractly & quantitatively.
M.PK.8Construct viable arguments and critique the reasoning of others.
M.PK.9Model with mathematics. ✰Critical emphasis to connect to ‘Āina Learning Concepts
M.PK.10Use appropriate tools strategically.
M.PK.11Attend to precision.
M.PK.12Look for and make use of structure.
M.PK.13Look for and express regularity in repeated reasoning.

M.PK.14See and Use Shapes: Combine different shapes to create a picture or design & recognize individual shapes, identifying how many shapes there are.
M.PK.15Create and measure different shapes. Identify size differences in similar shapes.
M.PK.16Solids in Space: Visualize shapes and solids (2-D and 3-D) in different positions, including nesting shapes, and learn to describe direction, distance, and location in space.

M.PK.17Create Patterns: Create patterns - using claps, signs, blocks, shape. Use similar shapes to make a pattern and identify size differences in the patterns.
M.PK.18Look for Patterns: Recognize and duplicate patterns - understand the core unit in a repeating pattern. Notice size differences in similar shapes. Sort objects by attributes.
M.PK.19See and Use Shapes: Combine different shapes to create a picture or design & recognize individual shapes, identifying how many shapes there are.

M.PK.20Measure & Order: Compare, order, count, and measure objects in the world. Learn to work out the number of objects by grouping and recognizing up to 4 objects without counting.
M.PK.21Count to 10: Count up to 10 using one-to-one correspondence and cardinality. Match sets and numerals to 10. Know that adding or taking away 1 makes the group larger or smaller by 1.