To know others is to have wisdom. To know oneself is to gain enlightenment.
We completed our unit on Geometry and discussed how to calculate the area of several geometric figures. We started with squares, rectangles and parallelograms and moved on to various forms of triangles. You may recall that based on the classification of triangles by the angles in the triangle there are three different types of triangles: Right, Acute, and Obtuse.
We then moved on to determine the area of trapezoids, which are a special form of quadrilaterals. Finally, in this unit, we discussed how to calculate the volume of a specific type of 3-dimensional figure, the Right Rectangular Prism (it looks like a tissue box).
Having an understanding of the area and volume of these basic geometric shapes will help us to understand how to calculate the area and volume of more complex shapes and figures in the future.
We completed a discussion and series of lessons on ratios and rates for both 6th Grade and Advanced 6th Grade (7th Grade) math. We have 7 videos on Ratios and Rates for 6th Grade students and 4 videos on Ratios and Rates for Advanced/7th Grade students.
A ratio is simply a relationship between two values, like comparing the numbers of boys and girls in a classroom. You use ratios to make comparisons. Keep in mind when working with ratios, the order the values are listed is important.
With ratios we can compare part to part, part to whole or whole to part. Think of comparing different instruments in a band to the total of all instruments in a band. Comparing the number of trumpets to trombones is a part to part relationship, while comparing trumpets to all the instruments would be a part to whole relationship.
We previously finished up our discussions on equations and inequalities. The video learning section, "Equations and Inequalities," contains several videos on this topic. We moved from expressions to equations and discussed how to solve addition, subtraction, multiplication and division equations and inequalities. The focus was on one-step equations and inequalities, but we also had a brief look at 2-step equations and inequalities and the appropriate processes to solve them correctly.
We also looked at increasing our understanding of two-variable relationships, with a focus on independent and dependent variables. We used these concepts in linear equations and also discussed the differences between arithmetic and multiplicative relationships and how each is reflected graphically on a coordinate grid.
Q: Why did the girl wear glasses during math class?
A: Because it improves di-vision.
Q: Why do plants hate math?
A: Because it gives them square roots.
Q: Why did the boy eat his math homework?
A: Because the teacher told him it was a piece of cake.
Q: What do you call an empty parrot cage?
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