This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: For 70 years, Oseola McCarty earned a living washing and ironing other people’s clothing in Hattiesburg, Mississippi. Although she did not earn much mo...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: A company uses two different-sized trucks to deliver concrete blocks. The first truck can transport $x$ blocks per trip, and the second can transport $...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The profit, $P$ (in thousands of dollars), that a company makes selling an item is a quadratic function of the price, $x$ (in dollars), that they charg...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Given the height $h$ and volume $V$ of a certain cylinder, Jill uses the formula r=\sqrt{\frac{V}{\pi h}} to compute its radius to be 20 meters. If a s...
Students learn about the concepts of accuracy and approximation as they pertain …
Students learn about the concepts of accuracy and approximation as they pertain to robotics, gain insight into experimental accuracy, and learn how and when to estimate values that they measure. Students also explore sources of error stemming from the robot setup and rounding numbers.
The purpose of this task is to help students interpret signed numbers …
The purpose of this task is to help students interpret signed numbers in a context as a magnitude and a direction and to make sense of the absolute value of a signed number as its magnitude.
Unit 7: Rational Numbers Lesson 6: Absolute Value of Numbers In the …
Unit 7: Rational Numbers Lesson 6: Absolute Value of Numbers
In the past several lessons, students have reasoned about the structure of rational numbers by plotting them on a number line and noting their relative positions and distances from zero. They learned that opposite numbers have the same distance from zero. Students now formalize the concept of a number’s magnitude with the term absolute value. They learn that the absolute value of a number is its distance from zero, which means that opposite numbers have the same absolute value. Students reason abstractly about the familiar contexts of temperature and elevation using the concept and notation of absolute value (MP2).
This task examines, from a mathematical and statistical point of view, how …
This task examines, from a mathematical and statistical point of view, how scientists measure the age of organic materials by measuring the ratio of Carbon 14 to Carbon 12. The focus here is on the statistical nature of such dating. This task addresses a very important issue about precision in reporting and understanding statements in a realistic scientific context.
This task is a refinement of ``Carbon 14 dating'' which focuses on …
This task is a refinement of ``Carbon 14 dating'' which focuses on accuracy. Because radioactive decay is an atomic process modeled by the laws of quantum mechanics, it is not possible to know with certainty when half of a given quantity of Carbon 14 atoms will decay. This type of question is very important in science and it also provides an opportunity to study the very subtle question of how errors behave when applying a function: in some cases the errors can be magnified while in others they are lessened.
This problem involves solving a system of algebraic equations from a context: …
This problem involves solving a system of algebraic equations from a context: depending how the problem is interpreted, there may be one equation or two.
This task is a somewhat more complicated version of "Accurately weighing pennies …
This task is a somewhat more complicated version of "Accurately weighing pennies I'' as a third equation is needed in order to solve part (a) explicitly. Instead, students have to combine the algebraic techniques with some additional problem-solving (numerical reasoning, informed guess-and-check, etc.)
The solutions unit consists of the following: General points for discussion relating …
The solutions unit consists of the following: General points for discussion relating to the teaching of the mathematical content in the activities. Step-by-step mathematical solutions to the activities. Annotations to the solutions to assist teachers in their understanding the maths as well as teaching issues relating to the mathematical content represented in the activities. Suggestions of links to alternative activities for the teaching of the mathematical content represented in the activities.
Students play and record the “Mary Had a Little Lamb” song using …
Students play and record the “Mary Had a Little Lamb” song using musical instruments and analyze the intensity of the sound using free audio editing and recording software. Then they use hollow Styrofoam half-spheres as acoustic mirrors (devices that reflect and focus sound), determine the radius of curvature of the mirror and calculate its focal length. Students place a microphone at the acoustic mirror focal point, re-record their songs, and compare the sound intensity on plot spectrums generated from their recordings both with and without the acoustic mirrors. A worksheet and KWL chart are provided.
In this Nrich article, Alf outlines six activities using the Gattegno chart …
In this Nrich article, Alf outlines six activities using the Gattegno chart which begin by developing learners' awareness of reading, writing and ordering numbers, then progress to gaining awareness of multiplication facts, multiplication and division by 10, onto fractions as operations and, finally, to finding percentages of any number.
This resource is part of the San Francisco Unified School District Math …
This resource is part of the San Francisco Unified School District Math Core Curriculum for Grade 2. It includes numerous activities to help students build fluency for addition within 20.
This resource is part of the San Francisco Unified School District Math …
This resource is part of the San Francisco Unified School District Math Core Curriculum for Grade 2. It includes numerous activities to help students build fluency for addition within 100.
The true tale of the Recycled Orchestra of Paraguay, an orchestra made …
The true tale of the Recycled Orchestra of Paraguay, an orchestra made up of children playing instruments built from recycled trash. The resources 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: Students will create their own musical instruments with recyclable materials.
A document is included in the resources folder that lists the complete standards-alignment for this book activity.
This short video and interactive assessment activity is designed to teach fourth …
This short video and interactive assessment activity is designed to teach fourth graders about multi-step addition of weights with compound units (metric units) - word problems.
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