In this High School Algebra instructional guide, students apply reasoning with equations and inequalities through three tasks connected to real-world financial and business contexts.

• Practice Task 1 (55 min) — Students write and solve equations and/or inequalities to determine how many months it will take for Tūtū to break even on an $8,000 solar panel installation, then use their findings to make and justify a recommendation

• Practice Task 2 (50 min) — Students model the profitability of a Hawaiian food fundraiser using equations and inequalities, accounting for variable and fixed costs, and justify their reasoning using equations, inequalities, and/or graphs

• End-of-Unit Performance Task (45–90 min) — Students determine the profitability of a food truck business by selecting one menu item, calculating variable and fixed costs, and creating mathematical models using equations and inequalities to justify their business plan

Standards: A.CED.2, A.REI.C.6, K-12.MP.1-8

Curriculum Connections: EngageNY, Illustrative Math, HIDOE Algebra I Curriculum, CK-12 Interactive Algebra I

In this High School Algebra instructional guide, students apply their knowledge of interpreting quadratic functions from tables and graphs through three tasks connected to real-world contexts in sports, design, and business.

• Practice Task 1 (50 min) — Students determine the rate of change and maximum vertical distance of various free throws in basketball, then use their findings to suggest how to adjust their distance from the basket to make the free throw

• Practice Task 2 (50 min) — Students create a proposal to maximize the area of a memory quilt by analyzing possible dimensions across three color options, using quadratic functions to justify their reasoning

• End-of-Unit Performance Task (50 min) — Students create a proposal for a product to sell at a bake sale, applying their knowledge of key features of quadratic functions to maximize revenue

Standards: F.IF.4, F.IF.5, K-12.MP.1-8

Curriculum Connections: Illustrative Mathematics Algebra, Khan Academy, Eureka Math/EngageNY, Big Ideas Math, Hawaiʻi State Math Curriculum

In this High School Algebra instructional guide, students apply their knowledge of modeling with exponential functions through three tasks connected to real-world contexts in health, personal finance, and environmental conservation.

• Instructional Task 1 (55 min) — Students select a caffeinated drink, then create an exponential model to determine how much caffeine remains in their body at various points throughout the day and predict when caffeine levels will drop below 1 mg

• Instructional Task 2 (55 min) — Students select a car from a list of top picks, develop an exponential model of its depreciation over time, and use that model to determine the optimal year to resell the vehicle

• End-of-Unit Performance Task (55 min) — Students analyze the population of an endangered native Hawaiian species using exponential functions, then use their model to make and justify a recommendation about whether an organization should join existing conservation efforts

Standards: HSF.LE.A.2, HSF.BF.A.1, HSF.LE.A.1.C, K-12.MP.1-6

Curriculum Connections: Savvas Envision Algebra 1 & 2, Houghton Mifflin Harcourt Algebra 1, Illustrative Math Algebra 1 & 2

In this High School Algebra instructional guide, students apply their knowledge and skills related to solving quadratic equations through three tasks connected to real-world contexts in sports, design, and community planning.

• Instructional Task 1 (65 min) — Students select a starting height and velocity, then create and solve a quadratic equation to determine exactly when a diver will hit the water after jumping from a diving board

• Instructional Task 2 (55 min) — Students select a length-to-width ratio and walkway width, then use quadratic equations to determine the dimensions of a rectangular swimming pool surrounded by a walkway

• End-of-Unit Performance Task (50 min) — Students select a purpose and fencing material for an enclosed rectangular feature of a neighborhood park, then apply their knowledge of quadratic equations to determine the dimensions that meet a given area requirement

Standards: HSA.REI.B.4, HSA.REI.B.4.B

Curriculum Connections: Savvas enVision Algebra 1, Illustrative Mathematics Algebra 1, Desmos Algebra 1, Carnegie Learning, HMH Algebra 1 & 2