PK–12 Essential Standards and Benchmarks

Kahua Standards and Benchmarks

PK-12 essential standards and benchmarks for Hawaiian-focused education.

Choose standards

Grade 5 - 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.

  • M.5.1Weave together ʻāina, ʻohana, and cultural components of moʻokūʻauhau (i.e. ʻohana genealogy, waʻa genealogy, Kumulipo, history, moʻolelo wahi pana)
  • M.5.2Interact with ‘āina by using ʻōlelo Hawaiʻi performance cartographies (i.e. oli, mele, hula, kaulana mahina, hoʻokele) and develop a stronger relationship with ʻāina.
  • M.5.3Understand the function and relationship between cultural protocols, cultural artifacts, and lawena (i.e piko/pū/reverence, mahalo/lei/gratitude).
  • M.5.4Know our place in the community ʻāina, its resources (mauna, awawa, wai , kai, one, wao) and the relationship with well-being.
  • M.5.5Understand the connection between moʻokūʻauhau, knowing deeply about a place, and fulfilling the ʻauamo to care for that place.A.3-6.1 Weave together ʻāina, ʻohana, and cultural components of moʻokūʻauhau (i.e. ʻohana genealogy, waʻa genealogy, Kumulipo, history, moʻolelo wahi pana)

  • M.5.6Make sense of problems and persevere in solving them.
  • M.5.7Reason abstractly & quantitatively.
  • M.5.8Construct viable arguments and critique the reasoning of others.
  • M.5.9Model with mathematics. ✰Critical emphasis to connect to ‘Āina Learning Concepts
  • M.5.10Use appropriate tools strategically.
  • M.5.11Attend to precision.
  • M.5.12Look for and make use of structure.
  • M.5.13Look for and express regularity in repeated reasoning.

  • M.5.14Telling a Story with Data: Understand a situation, graph the data to show patterns and relationships, and to help communicate the meaning of a real-world event.
  • M.5.15Shapes on a Plane: Graph 2-D shapes on a coordinate plane, notice and wonder about the properties of shapes, parallel and perpendicular lines, right angles, and equal length sides. Use tables to organize the coordinate of vertices of the figures and study the changing quantities of the coordinates.
  • M.5.16Layers or Cubes: Students recognize volume as an attribute of three-dimensional space. They understand that a 1-unit by 1-unit cube is the standard unit for measuring volume. They decompose three-dimensional shapes and find volumes of right rectangular prisms by viewing them as decomposed into layers of arrays of cubes.

  • M.5.17Fraction Connections: Make and understand visual models, to show the effect of operations on fractions. Construct line plots from real data that include fractions of units.
  • M.5.18Seeing Division: Solve real problems that involve volume, area, and division, setting up models and creating visual representation. Some problems should include decimal numbers. Use rounding and estimation to check accuracy and justify results.
  • M.5.19Powers & Place Value: Use whole number exponents to represent powers of 10. Use expanded notation to write decimal numbers to the thousandths place and connect decimal notation to fractional representations where the denominator can be expressed in powers of 10.

  • M.5.20Telling a Story with Data: Understand a situation, graph the data to show patterns and relationships, and to help communicate the meaning of a real-world event.
  • M.5.21Factors & Groups: Students use grouping symbols to express changing quantities and understand that factor can represent the number of groups of the quantity.
  • M.5.22Modeling: Set up a model and use whole, fraction, and decimal, numbers and operations to solve a problem. Use concrete models and drawing and justify results.
  • M.5.23Fraction Connections: Make and understand visual models, to show the effect of operations on fractions. Construct line plots from real data that include fractions of units.
  • M.5.24Shapes on a Plane: Graph 2-D shapes on a coordinate plane, notice and wonder about the properties of shapes, parallel and perpendicular lines, right angles, and equal length sides. Use tables to organize the coordinate of vertices of the figures and study the changing quantities of the coordinates.

  • M.5.25Plotting Patterns: Students generate and analyze patterns, plotting them on a line plot or coordinate plane, and use their graph to tell a story about the data. Some situations should include fraction and decimal measurements, such as a plant growing.
  • M.5.26Telling a Story with Data: Understand a situation, graph the data to show patterns and relationships, and to help communicate the meaning of a real-world event.
  • M.5.27Data Talks: Engage in Data Talks and pose statistical investigative questions based on real-life or mathematical experiences. EX: I wonder if I change the dimension of my structure but do not add blocks if the volume will remain the same?