Ms. Bearse's Site

Grade 9s and 10s all had a summative assessment today.

Grade 9s worked on EQAO practice questions related to surface area, volume, perimeter, pythagorean theorem, and scatter plots today.

We are using some of these questions for our portfolio work, and some for our study notes assignment as we prepare for our first test on Monday.

Period D went to a presentation on Financial Literacy today, to learn about making investments.

Grade 10s are exploring algebra tiles and how they help us visualize some abstract concepts.

We looked at how the expressions we use can be created with tiles, and also how we can show the expressions on a graph.

We learned about roots(x intercepts/zeros) of the parabola, and also about the vertex (le sommet).

We can use Desmos to help us see the graph of the equation

We can calculate the exact points where the graph crosses the x axis by setting each of the parentheses to 0.

Grade 9s are working on exponent questions. We’re understanding how to represent exponents in different forms.

we see a visual representation of 7 cubed, we also see that it is 7x7x7 or 49×7.

We are working on exponents with bases that are fractions, or negative numbers, or even exponents that have a variable as the base.

Today we explored exponent laws and simplifying expressions, as well as evaluating expressions that have numeric bases.

Grade 10s got tests back today, and are working on error analysis to figure out what went wrong! We’re also working on a big summary page to get all the information in one spot to help us prepare for an investigation and later the exam.

We had almost all the candidates come to answer questions today in period B, before the student vote which will be held tomorrow.

Grade 9s explored exponents today, and made connections between exponents and the area and volume concepts we have been looking at.

We are looking at what exponents of 2 mean, and what exponents of 3 mean. We also are looking at what happens when there are coefficients inside brackets that are raised to a power.

We worked on filling concept circles with different representations.

And then “levelled up” to using 2 variables (toothpicks and skewers)

We recognized that expressions like x^2y would represent the volume of a square based prism with dimensions of x,x,y.

Some of us took this farther to explore what the area of such a prism might be.

Lots of learning and lightbulb moments today! Good job grade 9s.

Grade 10s worked on questions posted around the room today to review for the test on Friday.we are working hard to classify shapes by their sides (lengths and slopes) and by their diagonals as well. We will continue our work to improve our skills until test day.

Today grade 9s worked through 3 stations to learn about how to use various formulae to calculate surface area and volume of cones, pyramids and spheres.

We used a displacement method to show that a sphere will displace enough water to fill a cylinder that has height and diameter equal to the sphere diameter by 2/3.

We can use the fact that the height of the cylinder=2r to modify the formula of the cylinder from V=(pi)(r)^2(h) to V=(pi)(r)^2(2h) to V=2(pi)(r)^3

The sphere’s volume is 2/3 of this or V=(4pir^3)/3

Another station was for calculating the surface area of the sphere. We drew circles with the same radius as the orange. Then we peeled the orange, and filled the circles that we could. We can fill 4 circles, so the formula for the surface area of a sphere is A=4(pi)(r)^2

Other stations were for calculating different aspects of a pyramid.

And exploring about cones. We looked at the lateral surface area, and the slant height, and radius and height and verified that the pythagorean theorem works to calculate missing information.

Tomorrow we will finish our remaining stations and apply our knowledge to solve problems.