Grade 7 - 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

Use shape, number and expressions to explore shapes in the world. Explore distance and directions, 2-D and 3-D connections, scale drawings and investigations and move toward transformational geometry.

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

Search for shapes in the world. Model the world using nets and surface area, 2-D and 3D connections, angle relationships, big and small numbers explorations.

V. Sense of Community: Exploring Changing Quantities

Look for fraction relationships and patterns inside numbers. Generalize with multiple representations and see relationships between variables. Explore unit rates in the world, proportional and graphing relationships and begin to create scale drawings. Find relationships with multiple representations of functions, linear equations, slopes and intercepts.

VI. Sense of Responsibility: Communicating Stories with Data

Explore the variability in data and the shape of distributions. Visualize populations and samples. Use probability models. Engage in data explorations and use various types of graphs and tables to organize data.

M.7.1Gather manaʻo about moʻokūʻauhau and kūlana through nīnauele (interviews) and oral histories.
M.7.2Use ʻōlelo Hawaiʻi inoa ‘āina (traditional place names, mauka/makai) to understand various traditions/histories of a place and to understand my place in different spaces.
M.7.3Demonstrate appropriate lawena when engaging in different cultural protocol (i.e. welcoming, entering, gathering, planting, mahalo, kamaʻāina/malihini) in a variety of settings (i.e. in and out of school).
M.7.4Contribute to community wellness by practicing ola pono (i.e. ʻai pono, laʻau lapaʻau, māla, hoʻoponopono) and building the capacity to connect with ʻāina.
M.7.5Ground our thoughts and actions in kānaka historical and contemporary best practices (i.e. resource management, conservation) and educate others.

M.7.6Make sense of problems and persevere in solving them.
M.7.7Reason abstractly & quantitatively.
M.7.8Construct viable arguments and critique the reasoning of others.
M.7.9Model with mathematics. ✰Critical emphasis to connect to ‘Āina Learning Concepts
M.7.10Use appropriate tools strategically.
M.7.11Attend to precision.
M.7.12Look for and make use of structure.
M.7.13Look for and express regularity in repeated reasoning.

M.7.14Scale Drawings: Solve problems involving scale drawings and construct geometric figures using unit rates to accurately represent real world figures. (use technology for drawing)
M.7.15Shapes in the World: Solve real life problems involving triangles, quadrilaterals, polygons, cubes, right prisms, and circles using angle measure, area, surface area, and volume.
M.7.162D and 3D Connections: Draw and construct shapes, slice 3-D figures to see the 2-D shapes. Compare and classify the figures and shapes using area, surface area, volume, and geometric classification for triangles, polygons, and angles. Make sure to measure with fractions and decimals, using technology for calculations.
M.7.17Angle Relationships: Explore relationships between different angles, including complementary, supplementary, vertical, and adjacent, recognizing the relationships as the measures change. For example, angles A and B are complementary. As the measure of angle A increases, the measure of angle B decreases.

M.7.18Shapes in the World: Solve real life problems involving triangles, quadrilaterals, polygons, cubes, right prisms, and circles using angle measure, area, surface area, and volume.
M.7.192D and 3D Connections: Draw and construct shapes, slice 3-D figures to see the 2-D shapes. Compare and classify the figures and shapes using area, surface area, volume, and geometric classification for triangles, polygons, and angles. Make sure to measure with fractions and decimals, using technology for calculations.
M.7.20Angle Relationships: Explore relationships between different angles, including complementary, supplementary, vertical, and adjacent, recognizing the relationships as the measures change. For example, angles A and B are complementary. As the measure of angle A increases, the measure of angle B decreases.

M.7.21Proportional Relationships: Explore, understand & use proportional relationships: -using fractions, graphs & tables.
M.7.22Unit Rates in the World: Solve real world problems using equations and inequalities. Recognize the unit rate within representations.
M.7.23Graphing Relationships: Solve Problems involving proportional relationships, that can lead to graphing using geometry software & making sense of solutions.
M.7.24Scale Drawings: Solve problems involving scale drawings and construct geometric figures using unit rates to accurately represent real world figures. (use technology for drawing)