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
Applying Operations to Rational Numbers
7.NS.A.3: Solve real-world and mathematical problems involving the four operations with rational numbers.
K-12.MP.1-8
To download the full instructional guide (includes two instructional tasks and one end-of-unit performance task):
Algebraic Expressions & Equations
7.EE.B.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
7.EE.B.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
7.EE.B.4.A Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
7.EE.B.4.B Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
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