Ms. Bearse's Site

We watched a powerful documentary today about anxiety and how to ask for help.  We’ll be back to the regular math swing of things tomorrow.

We had the task of building rectangular prisms wih a volume of 300 cubic centimeters.

We made plans and determined dimensions.  Some chose square bases, and others did not.
Some cut out all their pieces and then taped them…

Others drew the entire net and then folded up the prism.

It took teamwork to get everything assembled.

We calculate the surface area of our prisms.  It is pretty neat that we can have the same volume but different surface areas depending on the dimensions we chose.

The cube, with all sides equal, has the minimum area.  The farther apart the dimensions are, the larger the surface area.  We could make a very long snake like box that is 3m by 1cm by 1cm and it would have an even bigger area than the prisms shown here.

There are lots of great videos and practice problems here.

We worked on transformations of functions today and understanding what mapping statements are, and how to apply them.  We also took some time to practice our vocabulary skills and played polygraph on desmos.

We were paired up with teams in our class and we had to ask yes or no questions in order to narrow in on which function our partner had chosen.

We are getting better at choosing efficient questioning strategies.  One group managed to hess the function in 3 questions!
Good job today! Keep working on reviewing properties of parent functions and transformations.  Check your quiz corrections with the solutions online.

We looked at some complicated mixture problems today.  For example, if you want to create a mixture of muesli that is 600 grams and 21% nuts, but all you have is two containers, one had muesli that has 30% nuts, the other has muesli that has 15% nuts.  How much from each container do you need to create your ideal mixture?

We needed to determine what our variables should be, and how to build them into 2 equations.  We need 2 equations to solve 2 variables.  

Then we solved with substitution or elimination.

We looked at a few mixture problems, and then tried an investment problem that also dealt with percentages and interest.

We are leaning into the struggle.  We are recognizing when we are stretching our capacity, and celebrating when we make sense of things that are challenging.

We started off by multiplying again to add more data to our chart.  We will plot our data in a week or two.

We have talked about a few strategies along the way, to make multiplying make sense in different ways.  Today we talked about 9s.

We also used desmos to make a graph of our tv lengths and widths that we measured.  We introduced words to describe the trend we see.  We have some homework to do tonight so we can practice these skills.  Graphing with desmos is faster than by hand because the scale is set up for us automatically.

At the end of class we looked at how to use our formula sheets, and how to see the hidden right angle triangles in cones and pyramids.  We sang a song for the area of a trapezoid.

We will practice more tomorrow.



Solving by substitution was today’s theme.  We worked through increasingly complex substitutions to calculate the intersection point of two lines. Some of us checked answers with desmos to be sure we got them right.  Others are noticing hat substituting x and y values back into the equation is also a way to verify a solution.  We have set our test date for next Friday.  Start studying chapter 1 grade 10s!

Grade 12s are looking at types of functions, and classified many different functions based on categories, like family of functions, domain and range restrictions, asymptotes, number of zeroes

For some we made a number line to help us stay organized.

We wrote a quiz today which involved many applications of the pythagorean theorem.  The questions all came from past years’ EQAO tests.  We will do a formative quiz each Friday to practice communicating our solutions and show what we know.

We talked a little bit about what some key vocabulary words are, like circumference, radius and diameter, parallelogram, rhombus (losange), octagon etc.  Then we read the first book in the Sir Cumference series.

We also emailed our families to start off our semester of excellent communication!  Over the weekend everyone needs to get a calculator, and also measure length and width dimensions of any TV you can.  We are going to graph our results.

Please explore function symmetry on khanacademy.

There are some practice questions here to try.