Below you'll find our daily math challenges for the month of April. Each weekday a new challenge task will be posted. To learn how you can submit your answers for each task, check out the video to the left for a quick how-to. Anyone is welcome so give them a shot and stretch your brain daily.
Today's challenge will be the final challenge I post. Thank you to all of you who have made problem solving a part of your normal routine. Have a great summer!
Challenge 1:
Today's task can be quite challenging but take some time to problem solve through it. You can do this!
Challenge 1: Jasmin, Joelle, David
Today's task requires a careful consideration of the relationship between different fractions. Have a great Tuesday!
Challenge 1: Charlie, David, Joelle, Jasmin
Today's challenge requires you to work carefully with your understanding of fractions. Consider making a sketch and marking out possible distances each of the individuals might have run. Regardless, have a great memorial day weekend and we'll see you back on Monday.
Challenge 1: Joelle, David
Today's challenge takes a more traditional challenge task one step farther. Bring out Mean Absolute Deviation!
Challenge 1: Joelle, David, Jasmin, Jett, Kaleb
Today's challenge combines three different skills into one: Ratios, Mean, and Rounding!
Challenge 1: David, Joelle
Today again only has one challenge however the challenge will ask you to identify pattern and apply reasoning to make sense of the problem.
Challenge 1: Joelle, Jasmin, Kaleb, David
Today only has one challenge and it is inspired by summer being right around the corner. Pay careful attention to the form that the ratio needs to be answered in.
Challenge 1: Liam, Joelle, Mrs. Kroesen
Today's challenges focus around volume. In the first you will need to piece together three perspectives to determine the total volume of the figure.
In the second, you'll use your understanding of functions to describe the volume in 3D space.
Have a great weekend and see you on Monday.
Challenge 1: David, Samantha, Kaleb, Liam, Joelle
Challenge 2: David, Samantha, Joelle, Kaleb
Today's challenges focus around area. The first is straightforward (trust the values, not the picture). The second challenge includes a skill that isn't taught in 6th grade but, with a bit of ingenuity and resourcefulness, you can solve this problem. Feel free to reach out if you have questions or need assistance.
Challenge 1: David, Kaleb, Joelle
Challenge 2: David, Joelle
Today's first challenge take a slightly different approach to fractions. The second challenge asks you to reason abstractly about what effect cutting a cube into smaller cubes would have.
Challenge 1: Jasmin, Joelle, David, Samantha
Challenge 2: Jasmin, Samantha, Joelle
Today's first challenge problem can be solved using either a long or a short strategy. Try to determine how you might use pattern to determine the answer without checking every number between 1 and 100.
The second problem is straightforward, however, there is ample opportunity for error.
Challenge 1: Liam, Kaleb, Samantha, Joelle, Charlie
Challenge 2: Charlie, Joelle, Kaleb
Today's first challenge relies on your understanding of how mean works. While you do not know the actual test scores, you do know what their averages would be and can therefore answer the question of what the final tests score would be.
The second task requires you to look for pattern and order in the situation described. Consider making a sketch or list to make sense of the task.
Challenge 1: Joelle, Samantha, Charlie, David, Jasmin, Kaleb
Challenge 2: Joelle, Samantha, Charlie, David, Jasmin, Kaleb
Today's first challenge takes a different approach to algebraic thinking. Each shape is a variable and it is assumed the mobile is balanced.
The second problem is also a mashup of geometric and algebraic thinking.
Have a great weekend and we'll see you on Monday!
Challenge 1: Charlie, David, Liam, Joelle, Jack, Kaleb, Jett
Challenge 2: Charlie, Jett, Kaleb, Joelle, David
Today's challenge dive into both area and fractions. For the first, consider making a sketch to help make sense of the problem. In the second, make sure to keep your work organized as there are many pieces to the problem.
Challenge 1: Joelle, Liam, Charlie, David
Challenge 2: Charlie, Joelle, David
Today's first challenge is straightforward and comes from the first month of the 6th grade curriculum.
The second question not only comes from the first month but from the first day of the 6th grade curriculum but with a twist.
As always, reach out if you have questions.
Challenge 1: Jett, Kaleb, David, Charlie, Joelle
Challenge 2: Joelle, David, Jett, Charlie, Jasmin, Kaleb
Today's first challenge explores fractions and a changing whole.
The second challenge, however, explores a common mistake when using order of operations.
As always, don't hesitate to reach out if you have questions.
Challenge 1: Charlie, Joelle, David, Kaleb, Liam
Challenge 2: Joelle, Jasmin, David, Charlie, Kaleb
Today's challenges are logic based problems. Often mathematicians need logic to be able to determine how to use calculations to arrive at an answer. This will be light on the calculating but deeper on the thinking.
Challenge 1: Charlie, Joelle, Kaleb, David, Jasmin, Liam
Challenge 2: Joelle, David, Jasmin, Charlie, Kaleb
Today's challenges rely on your ability to deal with composite shapes. The first involves using coordinate pairs to find the area of the figure. The second involves seeing the hexagon as something other than a hexagon.
Have a great weekend and see you on Monday.
Challenge 1: Joelle, Charlie, David, Kaleb, Jasmin
Challenge 2: Joelle, Kaleb, David, Charlie, Jasmin
Today's challenges are straightforward. Solve for the variable. While guess and check will eventually lead you to a correct answer, using the properties of equality and combining like terms can yield a correct answer in one attempt.
And, the work is pretty beautiful in a mathematical sort of way. ;)
Challenge 1: David, Samantha, Liam, Charlie, Kaleb, Joelle
Challenge 2: Kaleb, David, Joelle, Charlie, Samantha
Today's challenges involve working with both positive and negative integers. Both tasks are around the same difficulty so if you don't typically try the second challenge, give today's a try!
Challenge 1: David, Joelle, Kaleb, Liam, Jett, Charlie, Jasmin
Challenge 2: Kaleb, Joelle, Jasmin, Charlie, David
Today's challenges are relatively straight forward. To help make sense of each problem, consider making a quick sketch. Neither problem is technically more challenging than the other so if you don't typically give challenge 2 an attempt, today's your day!
Challenge 1: Kaleb, David, Joelle, Jett, Charlie
Challenge 2: Kaleb, David, Jett, Joelle, Charlie
Today's challenges rely on your ability to identify patterns and describe them using a function. The first is a linear function meaning it forms a straight line. For that reason, it should be straight forward ;) .
The second task is much more challenging. You will need to use your understanding of area to write a function to describe how the pattern is growing. As always, ask or reach out if you have any questions. I'm here to help!
Challenge 1: Charlie, Joelle, David, Jett, Liam, IzEldeen, Samantha
Challenge 2: David, Charlie, Jett, Joelle
Today's first challenge is straight forward (and likely familiar to some of you). The second challenge is straight out of the creativity box. As always, try your best and don't hesitate to ask for help. We can always learn something new. Have a great weekend and see you on Monday!
Challenge 1: Joelle, Jett, Charlie, David, Jasmin, Samantha, Liam
Challenge 2: Joelle, David, Jett, Charlie
Today's challenges involve consecutive integers (positive and negative whole numbers). While there are a number of ways to tackle these types of problems, consider trying an algebraic expression to describe the verbal expression.
If you need a kickstart, I've put together a quick how-to in how you might approach consecutive number tasks.
Challenge 1: Jett, Joelle, Kaleb, Charlie
Challenge 2: Joelle, Kaleb, Jett, Charlie
Today's challenges involve area. The first is a composite shape so consider how you can determine the area of a shape that doesn't have a defined formula. In the second, the challenge asks you to consider how adding a wooden trim to a rectangle will affect the total area of the figure.
As always, email if you have questions.
Challenge 1: Charlie, Joelle, Kaleb, David, Jasmin, Jett
Challenge 2: Joelle, Charlie, David, Jasmin, Jett, Kaleb
Today's challenges are straight forward. Solve for the variable. Remember, show all work and calculations and stick to the properties of equality, combining like-terms, and the order of operations.
Challenge 1: Adison, Joelle, Samantha, Charlie, David, Jasmin, Jett, Liam
Challenge 2: Adison, Jasmin, Samantha, Jett, Kaleb, Joelle, Charlie, David
Today's challenges are based around ratios. Remember, a ratio shows the relationships between two quantities. Remember you can always reach out to your teacher for assistance!
Challenge 1: Charlie, David, Joelle, Adison, Jett, Jasmin, Kaleb
Challenge 2: Charlie, Joelle, David, Adison, Andre, Jett, Samantha, Charlie, Jasmin, Kaleb
Today's challenges are two more cryptograms. Remember, mathematics is all about discovering and analyzing patterns. To tackle this task you will need to look for pattern in how various digits affect the solution.
Have a great weekend and see you next Monday!
Challenge 1: Charlie, David, Jett, Kaleb, Liam, Peyton, Joelle
Challenge 2: Jett, David, Joelle, Charlie, Kaleb, Peyton
Today's challenges rely on your understanding of surface area. Remember that surface area can be calculated using the formula SA=2(lw)+2(lh)+2(wh).
Challenge 1: Abby, Joelle, David, Kaleb, Charlie, Liam, Mrs. Becker, Peyton, Adison, Jasmin
Challenge 2: Joelle, David, Kaleb, Charlie, Adison, Mrs. Becker, Jasmin
Today's challenges rely on your understanding of area and perimeter. The best strategy for tackling both of these tasks is to create a diagram of your own and work through labeling as much of the figures as you can. Don't hesitate to reach out if you need assistance.
Challenge 1: David, Joelle, Kaleb, Charlie, Peyton, Samantha, David, Jasmin, Lysandra
Challenge 2: David, Joelle, Kaleb, Charlie, Andre, Samantha, Jasmin
Today's challenges rely on your understanding of percents and ratios. With percents, remember that the word percent means "part of 100" because a percent scales the whole down to 100.
Challenge 1: David, Jett, Jolie, Joelle, Kaleb, Charlie, Liam, Peyton, Abby, Lilly, Samantha
Challenge 2: David, Joelle, Charlie, Jett, Kaleb
Today's challenge throws back to the first challenge I posted here. For a bonus, see if you can determine the function that can predict the 100th term.
Remember, you're best strategy is to analyze how the pattern grows visually and use numbers and variables to describe that growth.
If you're needing help, check out the two answer videos I posted for the 4/2/20 challenge. See how that same type of thinking might be useful here.
Challenge 1: Jett, David, Charlie, Joelle, Peyton, Kaleb, Liam, Chris,, Adison, Samantha, Jasmin
Challenge 2: Jett, Charlie, Joelle, Kaleb, David
Today there is only one challenge. (Unfortunately the second challenge involved one skill that 6th graders haven't yet learned and therefore I had to disable the link. If you're feeling very ambitious, here is the task that was originally the second challenge problem.)
Best of luck and have a great weekend. We'll see you back here on Monday!
Challenge 1: Joelle, Jett, Declan, Charlie, David
Today's challenges involve proportional reasoning. Proportions show us the relationship between two quantities in terms of what part one set is of the whole. Remember, when tackling any proportion, using equivalent ratios can help you scale the a proportion up or down.
Challenge 1: David, Liam, Joelle, Jett, Peyton, Declan, Charlie, Katelyn, Kaleb, Abby, Jariel, Ryan, Chace, Josh
Challenge 2: David, Joelle, Declan, Jett, Charlie, Kaleb, Adison, Jariel, Peyton, Chace, Josh
Today's challenges involves cryptograms. Think of it like a secret code that you need to crack. To solve both of these problems, you will need to rely on your understanding of number theory and the properties of certain numbers. For example, when you multiply by 5, the product will always end in a 5 or a 0. Use what you know about each of the digits (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9). It will take time and effort but there is no reason you can't crack these codes.
Challenge 1: David, Joelle, Jett, Charlie, Lysandra, Chace, Tommy, Lucas, Hunter, Jasmin
Challenge 2: Joelle, David, Jett, Charlie, Chace
Today's challenge has multiple ways to approach it. One of the strategies we learned this year was how to write an expression to describe a verbal phrase. While these verbal phrases are longer than normal, you can treat them just the same.
If you use an algebraic expression or equation, write in in the space provided on the answer form. Have fun!
Challenge 1: David, Joelle, Charlie, Liam, Chloe, Jett, Owen, Chace, Ryan, Jasmin
Challenge 2: David, Joelle, Charlie, Jett, Chloe
Today's challenge relies on your understanding of area and perimeter. In the first challenge, you are faced with a series of composite shapes. Use your understanding of rectangles, triangles, parallelograms and trapezoids to determine the area of the figure that is orange. If you need a review of area, consider reviewing your skill using Khan Academy:
For the second challenge, you are given three pieces of information about the figure. Use these three pieces of information to determine the perimeter of the green hexagon.
Submit your answers using the two links below.
Challenge 1: David, Natalie, Charlie, Joelle, Lilly, Grace, Kara, Josh, Lysandra, Ryan, Thomas
Challenge 2: David, Joelle, Charlie, Lysandra, Kara
Today's challenge relies on your understanding of rates. Remember, the power of equivalent ratios as you work towards a solution. The level one task requires you to think carefully about the situation and use your 6th grade ratio skills to arrive at a solution. The 2nd task is much more challenging and will require you to test multiple scenarios as you work towards an answer. Enjoy!
Challenge 1: David K, Declan, Jett, Charlie, Joelle, Christos, Liam, Kaleb, Lysandra
Challenge 2: Jett, David, Charlie, Joelle, Kaleb, Lysandra, Lilly, Declan
Today's challenge relies on our understanding of functions. Remember, a function describes how a pattern grows. While you can create a function table, sometimes it is easier to look at how the pattern is growing and go from there. Pattern Challenge Level 1 is a 6th grade level task. Pattern Challenge Level 2 is MUCH more challenging, however, if you analyze how the pattern is growing, and you think about how you find the area of a shape, you should be good to go!
Challenge 1: Jett, Joelle, Seth, Olivia, Hayden, Natalie, Liam, David, Charlie, Lilly
Challenge 2: Joelle, Jett, David, Charlie, Lilly
(If you need a refresher, check out this video from a teacher in Oregon who walks through how to approach visual pattern functions like the ones above. Note that you'll still need to consider how area might help with the second level challenge. )