This instructional task requires students to figure out word problems that require thinking in base 10.
Using scrap metal and spare parts, William Kamkwamba created a windmill to harness the wind and bring electricity and running water to his Malawian village. The resource includes a lesson plan/book card, a design challenge, and copy of a design thinking journal that provide guidance on using the book to inspire students' curiosity for design thinking. Maker Challenge: Develop a way to harness the wind by designing with Strawbees.
A document is included in the resources folder that lists the complete standards-alignment for this book activity.
Ralph Baer’s family fled Nazi Germany for the US when he was a child. Using wartime technology, Baer thought outside the box and transformed the television into a vehicle for gaming. His invention was the birth of the first home console, the Odyssey, a precursor to the Atari gaming system. The resource includes a lesson plan/book card, a design challenge, and copy of a design thinking journal that provide guidance on using the book to inspire students' curiosity for design thinking. Maker Challenges: (1) Think outside the box. What’s something you use everyday, but not for its “intended” purpose? Examples: A broom to clean the snow off your car windshield, a trash bag as a sled. Now, think of a problem you might have at school, home, et al. Invent an item that would solve this problem. (2) Let’s think outside the box! Design the latest and greatest technology for kids to hit the market! Make it the *most* fun anyone has ever had. You may NOT use anything on the market - any technology currently on the market is off limits. Use your imagination, do not put limitations on it, and be as creative as you can. (3) Use household items to create a prototype of your new invention.
A document is included in the resources folder that lists the complete standards-alignment for this book activity.
Students use addition or subtraction to solve these types of word problems.
This word problem has 10 possible solutions.
This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.
The purpose of this task is to assess a student's ability to explain the meaning of independence in a simple context.
Long before calculators were invented, little Edith Clarke devoured numbers, conquered calculations, cracked puzzles, and breezed through brainteasers. Edith wanted to be an engineer—to use the numbers she saw all around her to help build America. When she grew up, no one would hire a woman engineer. But that didn’t stop Edith from following her passion and putting her lightning-quick mind to the problem of electricity. But the calculations took so long! Always curious, Edith couldn’t help thinking of better ways to do things. She constructed a “calculator” from paper that was ten times faster than doing all that math by hand! Her invention won her a job, making her the first woman electrical engineer in America. And because Edith shared her knowledge with others, her calculator helped electrify America, bringing telephones and light across the nation.
This learning video is designed to develop critical thinking in students by encouraging them to work from basic principles to solve a puzzling mathematics problem that contains uncertainty. Materials for in-class activities include: a yard stick, a meter stick or a straight branch of a tree; a saw or equivalent to cut the stick; and a blackboard or equivalent. In this video lesson, during in-class sessions between video segments, students will learn among other things: 1) how to generate random numbers; 2) how to deal with probability; and 3) how to construct and draw portions of the X-Y plane that satisfy linear inequalities.
Build fractions from shapes and numbers to earn stars in this fractions game or explore in the Fractions Lab. Challenge yourself on any level you like. Try to collect lots of stars!
Build fractions from shapes and numbers to earn stars in this fractions game or explore in the Fractions Lab. Challenge yourself on any level you like. Try to collect lots of stars!
This task is for instructional purposes only and builds on ``Building an explicit quadratic function.''
This is the first of a series of task aiming at understanding the quadratic formula in a geometric way in terms of the graph of a quadratic function.
This task applies reflections to a regular hexagon to construct a pattern of six hexagons enclosing a seventh: the focus of the task is on using the properties of reflections to deduce this seven hexagon pattern.
This task applies reflections to a regular octagon to construct a pattern of four octagons enclosing a quadrilateral: the focus of the task is on using the properties of reflections to deduce that the quadrilateral is actually a square.
This task is intended for instruction and to motivate "Building a general quadratic function.''
Student pairs are given 10 minutes to create the biggest box possible using one piece of construction paper. Teams use only scissors and tape to each construct a box and determine how much puffed rice it can hold. Then, to meet the challenge, they improve their designs to create bigger boxes. They plot the class data, comparing measured to calculated volumes for each box, seeing the mathematical relationship. They discuss how the concepts of volume and design iteration are important for engineers. Making 3-D shapes also supports the development of spatial visualization skills. This activity and its associated lesson and activity all employ volume and geometry to cultivate seeing patterns and understanding scale models, practices used in engineering design to analyze the effectiveness of proposed design solutions.
In this task students determine the number of hundreds, tens and ones that are necessary to write equations when some digits are provided. Students must, in some cases, decompose hundreds to tens and tens to ones.
The activities in this lesson help students understand how physical activity burns calories.
This task operates at two levels. In part it is a simple exploration of the relationship between speed, distance, and time. Part (c) requires understanding of the idea of average speed, and gives an opportunity to address the common confusion between average speed and the average of the speeds for the two segments of the trip. At a higher level, the task addresses N-Q.3, since realistically neither the car nor the bus is going to travel at exactly the same speed from beginning to end of each segment; there is time traveling through traffic in cities, and even on the autobahn the speed is not constant. Thus students must make judgements about the level of accuracy with which to report the result.