Pro Tip: Searching based on the standards or the big idea can help you embed the materials in your curriculum scope and sequence.
This Rich Math Tasks volume contains a collection of learner-centered mathematical challenges for students in grades 3-12. Everything you will find in this volume was designed by Hawaiʻi teachers for Hawaiʻi students as part of the ongoing, HIDOE-led Performance Assessment Development Initiative (PADI). These tasks have been thoughtfully crafted, piloted, and revised to serve as high-quality classroom-based tools that gauge student understanding and actively enhance learning and engagement.
This booklet is designed to be easy to print, either in its entirety or by selecting the pages of PDF you'd like to use. You can also find these tasks within the math instructional guides posted with their accompanying end-of-unit tasks under the "math" tab.
If you'd like to receive a free hard copy in the mail, please email tyler.belanga@k12.hi.us with your request. Mahalo!
BIG IDEA & STANDARDS
MATERIALS AVAILABLE FOR DOWNLOAD
Algebra 1: Reasoning with Equations and Inequalities
A.CED.2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
A.REI.C.6: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
K-12.MP.1-8
To download the full instructional guide (includes two instructional tasks and one end-of-unit performance task):
Algebra 1 or 2: Interpreting Quadratic Functions
F.IF.4: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
F.IF.5: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
K-12.MP.1-8
To download the full instructional guide (includes two instructional tasks and one end-of-unit performance task):
Modeling with Exponential Functions
HSF.LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
HSF.BF.A.1: Write a function that describes a relationship between two quantities.
HSF.LE.A.1.C: Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
K-12.MP.1-6
To download the full instructional guide (includes two instructional tasks and one end-of-unit performance task):
Algebra 1: Creating Equations
A-CED.A.1: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
A-CED.A.2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
A-CED.A.3: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
F-IF.B.5: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
K-12.MP.1-6
To download the full instructional guide (includes two instructional tasks and one end-of-unit performance task):
NOT YET AVAILABLE
To Download just the end-of-unit performance task:
Student booklet--Click Here
Teacher directions--Click Here