An interactive applet and associated web page that deals with the area of a kite, (a quadrilateral with two distinct pairs of equal adjacent sides). The applet shows a kite and the user can reshape it by dragging any vertex. The other vertices move automatically to ensure it always remains a kite. As the vertices are dragged, the area is continuously recalculated and displayed. The kite is filled with a grid of unit squares so that the students can estimate the area. The on-screen calculation can be hidden until the estimates are done. The web page lists two different ways to compute the area of a kite. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

A web page and interactive applet showing the ways to calculate the area of a parallelogram. The user can drag the vertices of the parallelogram and the other points change automatically to ensure it remains a parallelogram. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area, which is continuously recomputed and displayed. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the rhombus is reshaped with the mouse. A companion page is http://www.mathopenref.com/parallelogram.html showing the definition and properties of a parallelogram Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

An interactive applet and associated web page that explain the area of a triangle. The applet shows a triangle that can be reshaped by dragging any vertex. As it changes, the area is continually recalculated using the 'half base times height' method. The triangle has a fixed square grid in its interior that can be used to visually estimate the area for later correlation with the calculated value. The calculation can be hidden while estimation is in progress. The text page has links to a similar page that uses Heron's Formula to compute the area. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Remember your multiplication tables? ... me neither. Brush up on your multiplication, division, and factoring skills with this exciting game. No calculators allowed! The students will be given mutiplication and division problems which they must answer. They also have the option of being given a number then stating the factors of how that number was attained using either multiplication or division.

Tony Sarg was a puppeteer and marionette master who invented the first, larger than life, helium balloons for the annual Macy’s Thanksgiving Day Parade. 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 include: (1) Dash/Sphero: Develop a Macy’s Day Parade route using tape on the ground with a partner. Then, switch routes with another group and program the robot of your choice to navigate the parade route using code. (2) Ozobot: Develop a synchronized dance routine for both Ozobots for the stage of the Macy’s day parade using https://ozoblockly.com/editor (3) Create a moveable puppet that will be featured in the Macy’s Day Parade.

A document is included in the resources folder that lists the complete standards-alignment for this book activity.

Unit: Area and Surface Area
Lesson 10: Bases and Heights of Triangles

This lesson furthers students’ ability to identify and work with a base and height in a triangle in two ways:

By learning to draw (not just to recognize) a segment to show the corresponding height for any given base, and

By learning to choose appropriate base-height pairs to enable area calculations.

Students have seen that the area of a triangle can be determined in multiple ways. Using the base and height measurements and the formula is a handy approach, but because there are three possible pairs of bases and heights, some care is needed in identifying the right combination of measurements. Some base-height pairs may be more practical or efficient to use than others, so it helps to be strategic in choosing a side to use as a base.

Students explore combinations in this open-ended Nrich task. Students are asked to discuss and document their work pictorially and numerically.

In this activity, kids will work on two fundamental early math skills – sorting/classifying, and graphing. There will also be some great fine motor skill practice! Includes place-based discussion questions, activity instructions, extension activities, songs, and student graph worksheets.NGSS: K-LS1-1, 1-LS1-1, partially meets K-ESS3-1 (book and discussion)Common Core: MP.4Time: 45 minutesMatierals: bag of dried beans ("16 bean soup"), paper bowls, glue, chart paper, the book "One Bean" or similar book about growing food plants, especially beans.

The true, inspiring story of Beauty, the bald eagle, who was shot, rescued, and received a 3D-printed prosthetic beak. 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) Use paper and pencil to design a prosthetic body part for a human or animal. Then use tinkercad.com to create a prototype. Finally, use a 3D printer to print the prosthetic. (2) Have students research animals who use prosthetics. Then, improve the design in Tinkercad and 3D Print.

A document is included in the resources folder that lists the complete standards-alignment for this book activity.

In this lesson, students use the Bee Bots to move throughout their space. If Bee Bots are inaccessible, the lesson can be adapted by using the online coding platform.

Visually searchable database of Algebra 1 videos. Click on a problem and watch the solution on YouTube. Copy and paste this material into your CMS. Videos accompany the open Elementary Algebra textbook published by Flat World Knowledge.

Unit 3: Unit Rates and Percentages
Lesson 13: Benchmark Percentages

The goal of this lesson is to help students understand the connection between benchmark percentages and common fractions (MP7). In these materials, we have identified 10%, 25%, 50%, and 75% as primary benchmark percentages and multiples of 10% as secondary benchmark percentages.

It is common to say that 25% = 1/4 or 10% = 1/10 . In these materials we avoid this usage and say rather that 25% of a quantity is 1/4 of that quantity, or that 10% of a quantity is 1/10 of that quantity.

This lesson builds on understanding of equivalent fractions, multiplying fractions, and dividing by unit fractions from grades 4 and 5.

This Nrich problem requires some simple knowledge of fractions and multiples and demands some strategic thinking. It may offer a good opportunity to compare methods between students - there isn't just one route to the solution. Note that there is no need to use algebra in this problem.

This Nrich problem fits in well with counting and skip-counting (counting by twos etc.) and can be solved by physically modeling the biscuits and decorations with whatever objects are convenient. It is a good opportunity for children to choose the way they represent the problem in order to solve it. It may also be appropriate to introduce vocabulary such as "multiple".

This Nrich problem requires a sound understanding of the relationship between part and whole. It could be used as part of a lesson on finding fractions of numbers and quantities.

Unit 8: Data Sets and Distributions
Lesson 16: Box Plots

In this lesson, students use the five-number summary to construct a new type of data display: a box plot. Similar to their first encounter with the median, students are introduced to the structure of a box plot through a kinesthetic activity. Using the class data set that contains the numbers of letters in their names (from an earlier lesson), they first identify the numbers that make up the five-number summary. Then, they use their numbers to position themselves on a number line on the ground, and are guided through how a box plot would be constructed with them as the data points.

Later, students draw and make sense of the structure of a box plot on paper (MP7). They notice that, unlike the dot plot, it is not possible to know all the data points from a box plot. They understand that the box plot summarizes a data set by showing the range of the data, where the middle half of the data set is located, and how the values are divided into quarters by the quartiles.

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 will convert numbers from standard form into each place value and vice versa.

This video module presents an introduction to cryptography - the method of sending messages in such a way that only the intended recipients can understand them. In this very interactive lesson, students will build three different devices for cryptography and will learn how to encrypt and decrypt messages. There are no prerequisites for this lesson, and it has intentionally been designed in a way that can be adapted to many audiences. It is fully appropriate in a high school level math or computer science class where the teacher can use it to motivate probability/statistics or programming exercises. nteractive lesson, students will learn to build the cryptography devices and will learn how to send and ''crack'' secret messages.