Math Essentials 12 Desmos Activity Collection - A collection of online student Desmos activities organized by unit.
1.1 demonstrate an understanding of the meaning and uses of accuracy and precision
1.2 use a measuring tape to measure tactile items in both imperial and SI units
1.3 identify the difference between length, area, and volume
1.4 demonstrate an understanding of the meaning and uses of significant figures
1.5 demonstrate an understanding of and be able to solve problems using dimensional analysis
1.6 identify, use, and convert among and between SI units and imperial units to measure and solve measurement problems
1.7 estimate distances by using a personal benchmark such as walking pace
1.8 demonstrate an understanding of and be able to solve problems using the Pythagorean Theorem
Additional Resources and Activities for 1.1 (accuracy and precision):
What's the difference between accuracy and precision? TEDEd video - This video explains the difference between accuracy and precision using the story of William Tell.
Accuracy Versus Precision Beanbag Toss - Student create a target of concentric circles, put it on the floor, and then throw three bean bags (you can make cheap bean bags out of old kids socks or use an alternative item to throw). Students measure distance of each back to the center (accuracy) and also measure the distance from the two bean bags that are farthest apart (precision). They record their data in a table.
Additional Resources and Activities for 1.2 and 1.3 (measurement):
1.3 was deemed non-Foundational and is no longer included in Mathematics Essentials 12.
Reading a Metric Tape Measure YouTube video - How to read a metric tape measure divided into centimeters and millimeters. Also check out Reading an Imperial tape measure video for imperial measurement.
How to Find Measurements Without Math video - Tom describes two different methods to find half of a measurement on an imperial measuring tape. Ask students how they can be confident that each method works? Why do they work?
Tape Measure Pro Tips video - Learn some tricks about your tape measure!
The Ruler Game - Use this game to improve your ruler reading skills. After you click on the button that says, "Start New Game," the name of a measurement will appear in the text box labeled, "Click on:." As soon as you see the measurement appear, click on the corresponding measurement on the ruler at the top of the screen. You can turn off the timer if you'd like and change other settings as well.
Battle Lines measurement game - In this game, students take turns rolling a dice and measuring that amount on a shared line. Students capture this area by shading this length on the line with their color pencil. The goal is to try to capture the longest continuous segment possible. This game could be easily adapted to practice imperial measurements. Instead of a single six sided die, students could roll 2 six-sided dice and then measure this number of fourths of inches. (i.e. rolling 4 and 3 would let you shade 7/4 or 1 and 3/4 inches).
Long Jump Measurement Activity - Use painter’s tape to create a line on the floor. Students stand at the line and jump forward as far as they can. Mark where they landed with the painters tape. Now use the measuring tape to measure how far your student jumped.
Perimeter of a Rectangle Measurement - Split the class into small groups and have each group create a rectangle using painters tape. Students then rotate through each rectangle to measure its perimeter.
Additional Resources and Activities for 1.4 (significant figures):
1.4 was deemed non-Foundational and is no longer included in Mathematics Essentials 12.
Additional Resources and Activities for 1.5 and 1.6 (converting units and dimensional analysis):
Unit Conversions - A site with some nice examples of dimensional analysis.
Would You Rather Have a Pound of Quarters or a Pound of Dimes? - You could change this up to be a pound of quarters or a kilogram of dimes (or nickels) in order to add in the conversion between SI and metric units. You could also change this to linear measurement.
Additional Resources and Activities for 1.7 (estimate with personal benchmarks):
Estimation180 is a website with visual prompts to provide opportunities for students to estimate: Estimate the Length of a Garden Hose - How long (ft. or m) is the garden hose? Estimate the Height of a Lamppost - What is the height of the lamppost?Estimate How Many Licorice Ropes I can Hold - How many pieces of red licorice are in my hand?
Measurement Esti-Mysteries - A math routine for estimation. These esti-mysteries are focused on metric measurements. Estimate the length of a pencil and the length of a bank of lockers. Later in the unit you might also include measurements other than length: the capacity of a vase, the weight of a brick, the weight of a bunch of bananas, the weight of a pumpkin.
Additional Resources and Activities for 1.8 (Pythagorean Theorem):
3-4-5 Method - This video demonstrates how to get a perfect right angle when laying out the foundation for a structure. Students can practice this application using painters tape on the floor to lay out a perfect 3' x 4' rectangle or could use string and tent stakes to layout a larger rectangle outside on a grassy area.
Spiral of Theodorus Art Project - The spiral begins with an isosceles right triangle and continues by keeping one leg length the same and using the hypotenuse of the previous triangle to make the other leg of the next triangle. Students used Pythagorean Theorem to calculate the hypotenuse length for each triangle and expressed their answer either as a decimal or a simplified radical.
Pythagoras Puzzle - a fun self checking practice sheet.
Legend of Zelda Pythagorean Theorem Desmos Activity - In this activity students will apply Pythagorean Theorem to help Link defeat Ganon and save Zelda.
TV Space Task - Will Mr. Piccini's new 40" LCD HD TV fit in the space he has available on the wall? You'll need to know about Pythagorean Theorem and the height to width ratio of an HD TV to find out.
Watson Save - In the 2005 AFC divisional football championship game between the New England Patriots and the Denver Broncos, Benjamin Watson stopped a touchdown in the last instant. He did this by running diagonally across the entire football field. Watch the video to see the play and listen to the commentary.
Pythagorean Theorem Game - Split the class into small groups. Each player takes turns rolling two dice. Using the numbers on the two dice as the legs of a right triangle, find the length of the hypotenuse using the Pythagorean Theorem (always round to the nearest whole number). The player earns this number of points. (e.g. If I roll a 2 and a 3, then the length of the hypotenuse is sqrt(2^2+3^2) = sqrt(13) = 3.606 giving me 4 points). The first player to 25 points wins.
Trigonometry Pile-Up! - This resource is a challenging puzzle to consolidate learning on trigonometry. The idea is that pupils have to start with the information they have in the bottom triangle and work their way up through the stack, finding missing side lengths to allow them to calculate the length of the hypotenuse of the top triangle. The puzzle can be solved with trigonometry alone (finding missing sides and missing angles) or Pythagoras’ Theorem can be used at some points as well.