In this Grade 6 instructional guide, students explore ratio and rate reasoning through three tasks connected to real-world financial and consumer contexts.

• Practice Task 1 (40 min) — Students use ratio reasoning to determine the relationship between cheese and pepperoni pizzas, scale ratios to find missing quantities, and calculate how many slices of each type to distribute from a fixed total

• Practice Task 2 (50 min) — Students calculate a unit rate from earnings and hours worked, find the cost of an electric bike as a percentage of monthly income, and compare unit rates across three stores to find the best deal on a helmet

• End-of-Unit Performance Task (90 min) — Students calculate monthly and annual incomes using equivalent unit ratios, then research a dream job and car of their choice and determine how many years it would take to afford that car based on their projected earnings

Standards: 6.RP.3, 6.RP.3a–d, K-12.MP.1-8

Curriculum Connections: Into Math, Illustrative Math, Go Math!, enVision MATH Common Core 6, EngageNY/Eureka

In this Grade 6 performance assessment, students apply their understanding of one-variable equations to plan a Hawaiiana club fundraiser, writing and solving equations to reach ticket sales and food and drink revenue goals.

End-of-Unit Performance Task (45 min) — Students write and solve equations to determine how many regular and VIP tickets Malia needs to sell to reach a $3,000 goal, apply a constraint requiring at least twice as many regular tickets as VIP tickets, and write and solve an additional equation to determine how many food and drink items from a Hawaiian-themed menu must be sold to reach a separate $1,000 goal.

Standards: 6.EE.6, 6.EE.7, MP.1–6

Curriculum Connections: Into Math, Illustrative Mathematics, Go Math!, enVision MATH 2.0, EngageNY/Eureka

Note: An instructional guide with practice tasks is coming soon.

In this Grade 6 Math instructional guide, students apply their knowledge and skills related to plotting on a coordinate plane and finding distance through three tasks connected to real-world contexts in campus navigation, Hawaiian celestial navigation, and community events.

• Practice Task 1 (40 min) — Students identify the ordered pairs of key locations on a school campus map, use absolute value to calculate distances between them, then add four new locations to the coordinate plane — one in each quadrant

• Practice Task 2 (40 min) — Students plot stars from traditional Hawaiian navigation onto a coordinate grid, use absolute value to find vertical and horizontal distances between stars, then calculate the total distance of a multi-stop navigational journey

• End-of-Unit Performance Task (40 min) — Students independently design a community parade route by plotting ordered pairs on a coordinate plane and calculating the total distance of the route in both units and miles

Standards: 6.NS.C.8, K-12.MP.1-8

Curriculum Connections: Into Math, Illustrative Mathematics, Go Math!, enVision Mathematics 2.0, Eureka Math

In this Grade 6 Math instructional guide, students apply their knowledge and skills related to ratios and rates through three tasks connected to real-world contexts in aquarium care, Hawaiian cultural arts, and community celebrations.

• Practice Task 1 (45 min) — Students calculate unit rates for ʻoʻopu (fish) and limu (plants) at a supply store, then use equivalent ratios to select quantities that maintain the proper 2:10 fish-to-plant ratio and calculate the total cost of stocking their fish tank

• Practice Task 2 (40 min) — Students compare unit prices across small, medium, and large boxes of ipu (traditional gourd drums), identify the best deal, then determine how many boxes a hula kumu can purchase within a $3,650 budget to ensure all 156 hālau members have their own instrument

• End-of-Unit Performance Task (50 min) — Students independently apply ratio and rate reasoning to plan a graduation party package for 50 people, calculating total costs based on unit rates for selected items

Standards: 6.RP.2, 6.RP.3, 6.RP.3a, 6.RP.3b, K-12.MP.1-6

Curriculum Connections: Into Math, Illustrative Mathematics, Go Math!, enVision Mathematics 2.0, Eureka Math

In this Grade 6 Math instructional guide, students apply their knowledge and skills related to statistics through three tasks connected to real-world contexts in environmental stewardship, outdoor recreation, and Hawaiian cultural traditions.

• Practice Task 1 (45 min) — Students use monthly beach clean-up data collected by the Kim ʻOhana to create a dot plot or histogram, describe the distribution's center, spread, and shape, and write a statistical question about the data

• Practice Task 2 (45 min) — Students analyze the hiking times of six friends on the ʻAiea Loop Trail by creating a visual display, calculating mean, median, and mode, describing the distribution, and writing a statistical question answerable using measures of center

• End-of-Unit Performance Task (50 min) — Students independently analyze data from three Makahiki Games events by creating visual displays, calculating measures of center, describing distributions, identifying the most consistently high-performing participant using data evidence, and formulating statistical questions

Standards: 6.SP.A.1, 6.SP.A.2, 6.SP.A.3, 6.SP.B.4, K-12.MP.1-8

Curriculum Connections: Into Math, Illustrative Mathematics, Go Math!, enVision Mathematics 2.0, Eureka Math

In this Grade 6 Math instructional guide, students apply their knowledge related to integers and absolute value through three tasks connected to real-world contexts in consumer spending, Hawaiian ocean life, and outdoor adventure.

• Practice Task 1 (40 min) — Students select at least four items or activities from a shopping menu at Ka Makana Aliʻi, calculate their total cost, determine what to return to stay within a $20 budget, and write an absolute value statement representing how much they spent over budget

• Practice Task 2 (35 min) — Students use a depth diagram to identify the negative integer depths of four Hawaiian fish (manini, uhu, mahimahi, and ahi), write absolute value statements for each, and calculate the total fishing line needed to reach all four depths

• End-of-Unit Performance Task (45 min) — Students independently apply positive and negative integers and absolute value to analyze elevation changes along a hiking trail, using provided trail data to describe and explain changes in elevation across mountains, valleys, and caves

Standards: 6.NS.C.5, 6.NS.C.6, 6.NS.C.6c, 6.NS.C.7b, 6.NS.C.7c, K-12.MP.1-6

Curriculum Connections: Into Math, Illustrative Mathematics, Go Math!, enVision Mathematics 2.0, Eureka Math

In this Grade 6 Math instructional guide, students apply their knowledge related to finding the area of polygons through three tasks connected to real-world contexts in visual art, community infrastructure, and Polynesian cultural design.

• Practice Task 1 (60 min) — Students use triangles and rectangles to design a geometric animal collage inspired by Hawaiian wildlife, then calculate the total area of all polygons used in their artwork

• Practice Task 2 (120 min, two periods) — Students design a community pool blueprint by composing multiple polygons, assign dimensions to each shape, and calculate the total area of the pool

• End-of-Unit Performance Task (90 min) — Students independently identify and calculate the areas of triangles and quadrilaterals within a Polynesian canoe design, applying polygon area formulas to determine the total area of the design

Standards: 6.G.A.1, K-12.MP.1-8

Curriculum Connections: Into Math, Illustrative Mathematics, HMH Go Math!, enVision Mathematics, Eureka Math