Determing unknown sides and areas with Compound Shapes. Use of algebraic expression and formulas to solve variable sides and areas. During today's session on determining unknowns with compound shapes using algebra, Aiden was well focused and attentive to this topic.

Determining sectors of Circles: Solving Compound Shapes using Algebra.
During today's lesson on determining Sectors of Circles and compound shapes using Algebra, Aiden was well-focused and attentive.

Arc Length and Sectors of Circles: Use of degrees to radians conversions, Modeling sections of areas of circles to determine shaded regions etc. Real world applications of arc length and sectors. During today's session, the method of determining Sectors of Circles and Arc lengths was presented and thoroughly explained/demonstrated to Aiden. He understood the concepts but still exhibits a long-standing habit of overthinking and overanalyzing simple methods which causes unnecessary complications for him. I have attempted numerous times to help him with this perspective.

Interior and Exterior angles in Polygons: Solving unkown variables. Various polygons having angles and/or sides with unknown variables. Handout worksheets with practice problems. During today's session on Interior and Exterior Angles of Polygons, Aiden was well focused and clearly understood the key methods of solution.

Interior and Exterior Angles of Polygons: Using algebra and variables to solve. Handout worksheet problems and demonstrations of total of angles formulae as well as Similar Figures. During today's session on finding interior and exterior angles of various polygons, Aiden became more skilled and confident with his problem solving following my detailed demonstrations/modeling of key methods .

We learned that when a trinomial is in the form x2 + bx + c, the factors are found by identifying a pair of integer factors of c that have a sum of b and then using the factors to write binomials that have a product equal to the trinomial. We completed several factoring trinomial problems to understand when to use negative and positive constant values. We checked our factoring of quadratics by multiplying the two binomial factors whose product is equal to the trinomial.

We practiced factoring quadratics. Then we practiced using the quadratic formula to find the roots of a quadratic function.

Solving Geometry problems using Algebra and variables. Parallel lines/transversal problems involving similar figures. During today's session on using variables and Algebra to solve Geometry problems, Aiden was very well focused and attentive

We learned to graph functions in standard form and show intercepts, maxima, and minima. We compared the properties of quadratic functions presented in different forms (algebraically, in a table, graphically).
We learned to compare properties of quadratic functions. We found the x-coordinate of the vertex by using the formula –b/2a. Next, we plugged the x-coordinate into the original equation to find the y-value. Then we applied these principles to real-world problems.

Determining missing sides of common geometric shapes using variables and Algebraic expressions. Ratios/proportions method as well as use of corresponding sides and angles. Practice with several worksheet problems. During today's session on solving missing sides and variables with common Geometric shapes, Aiden demonstrated a clear understanding of the key methods and was able to accurately solve numerous related problems.