MCR3U Sequences and Series Flashcards

Students can print these flashcards to help memorize sequences ad series formulas!
Designed to print on the front and back of one sheet.

DOWNLOAD Word Doc here!

Report Card Examples of Significant Strengths for MCF3M

Report Card Examples of Significant Strengths for MCF3M

Click here to go to my REPORT CARD COMMENTS page for more info on the 3-step comment!

Chp 1 Introduction to the Quadratic Functions

- able to use appropriate notation to describe relationships as functions

- able to graph and model linear and quadratic functions

- able to use transformations to relate different quadratic functions

Chp 2 – The Algebra of Quadratic Expressions

- He demonstrated a good understanding of the quadratic expressions unit where he was able to expand and simplify quadratic expressions on his assignment.

- She excelled in the quadratic expressions unit where she was able to recognize different types of quadratic expressions and use appropriate strategies to factor them on her chapter test.

Chp 3 Working with Quadratic functions: Standard and Vertex Form

- She excelled in the quadratic functions unit where she was able to expand and simplify quadratic expressions, solve quadratic equations, and relate the roots of a quadratic equation to the corresponding graph on her chapter test.

- he demonstrated a good understanding of the working with quadratic functions unit where he was able to make connections between the numeric, graphical, and algebraic representations of quadratic functions on his chapter test.

- he demonstrated a good understanding of the working with quadratic functions unit where he was able to model situations and solve problems involving quadratic functions on his chapter test.

Chp 4 Standard to vertex form

- He did an excellent job in the quadratic functions unit by being able to calculate the x-intercepts and vertex given an equation in standard form and then use that information to solve real-world problems.

Chp 5 Trigonometry

- He did a great job in the trigonometry unit where he was able to solve for unknown sides and angles in triangles using the primary trigonometric ratios, sine law, and cosine law on his assignment.

- She did an excellent job in the trigonometry unit where she was able to use the sine and cosine laws to solve problems on both her assignment and chapter test.

- She excelled in the trigonometry unit where she was able to solve problems using the primary trigonometric ratios, sine law and cosine law on both her assignment and chapter test.

- He demonstrated a good understanding of the trigonometry unit where he was able to solve problems using the primary trigonometric ratios, sine law, and cosine law on both his assignment and chapter test.

Chp 6 The Sine Function

- He did an excellent job in the sinusoidal functions unit where he was able to sketch sine graphs and determine key properties including period, amplitude, domain and range on his chapter test

- He demonstrated a good understanding of the sinusoidal functions unit where he was able to sketch sine graphs and determine key properties including period, amplitude, domain and range on his assignment.

Chp 7 Exponential Functions

- He did an excellent job in the exponential functions unit where he was able to solve problems involving exponential growth and decay on his chapter test.

- She did an excellent job in the exponential functions unit by being able to use formulas for exponential growth and decay to accurately solve real-world problems on her assignment and chapter test.

Chp 8 Finance

- She demonstrated a thorough understanding of the finance unit where she was able to solve problems using the compound interest and annuities formula on her assignment.

- He did an excellent job in the finance unit where he was able to solve problems involving compound interest and annuities on both his assignment and chapter test.

- He did a good job in the finance unit where he was able to solve problems using the formulas for compound interest and annuities on his assignment.

- She did a good job in the finance unit where she was able to use the formulas for simple and compound interest to solve complex real-world problems on her assignment.

- He did an outstanding job in the finance unit where he was able to solve real-world problems using the compound interest and annuities formulas on his chapter test.

Report Card Examples of Significant Strengths for MPM2D

Report Card Examples of Significant Strengths for MPM2D

Click here to go to my REPORT CARD COMMENTS page for more examples!

Chp 1 Systems of Linear Equations

- He excelled in the linear equations unit where he was able to solve a system of linear equations using a variety of strategies on his assignment.

- She demonstrated a thorough understanding of the linear equations unit where she was able to solve problems that are modelled by linear equations or systems of linear equations on her chapter test.

- He did well in the linear equations unit where he was able to describe the relationship between the number of solutions to a system of linear equations and the coefficients of the equations on his assignment.

- She demonstrated a good understanding of the linear equations unit where she was able to solve systems of two linear equations involving two variables, using the algebraic method of substitution or elimination on her chapter test.

Chp 2 Analytic Geometry: Line Segments and Circles

- She excelled in the analytic geometry unit where she was able to use coordinates to determine and solve problems involving midpoints, slopes, and lengths of line segments on her chapter test.

- He did well in the analytic geometry unit where he was able to determine the equation of a circle with centre (0, 0) on his assignment.

- She demonstrated a thorough understanding of the analytic geometry unit where she was able to use properties of line segments to identify geometric figures and verify their properties on her assignment.

- He excelled in the analytic geometry unit where he was able to solve problems using the formulas for the slope, length, and midpoint of a line segment on his chapter test.

Chp 3 Graphs of Quadratic Relations

- He did well in the graphs of quadratic relations unit where he was able to describe the graphs and properties of quadratic relations of the forms y = ax² + bx + c and y = a(x – r)(x – s) on his assignment.

- She demonstrated a good understanding of the graphs of quadratic relations unit where she was ablt to expand and simplify quadratic expressions on her chapter test.

- He demonstrated a good understanding of the graphs of quadratic relations unit where he was able to apply quadratic models to solve problems on his assignment.

- She demonstrated a thorough understanding of the graphs of quadratic relations unit where she was able to identify the key features of a graph of a parabola such as the axis of symmetry, vertex, y-intercept, zeros, and max or min value on her chapter test.

Chp 4 Factoring Algebraic Expressions

- He excelled in the factoring unit where he was able to factor polynomial expressions involving common factors, trinomials, difference of squares, and perfect squares on his chapter test.

Chp 5 Applying Quadratic Models

- He demonstrated a good understanding of the quadratic models unit where he was able to solve problems involving quadratic relations by finding the maximum/minimum value or the x-intercepts on his chapter test.

- She excelled in the quadratic models unit where she was able to solve problems arising from realistic situations represented by a graph or an equation of a quadratic relation on her assignment and chapter test.

Chp 6 Quadratic Equations

- She demonstrated a thorough understanding of the quadratic equations unit where she was able to solve quadratic equations that have real roots by factoring or using the quadratic formula on her assignment.

Chp 7 Similar Triangles & Trig Ratios

- She did well in the similar triangles unit where she was able to solve problems related to similar triangles using ratios and proportions on her assignment.

- He excelled in the similar triangles unit where he was able to determine the measures of the sides and angles in right triangles using the primary trigonometric ratios and the Pythagorean Therorem on his chapter test.

- He demonstrated a good understanding of the similar triangles unit where he was able to solve problems involving right triangles in real life applications using the Pythagorean theorem and the primary trigonometric ratios on his chapter test.

Chp 8 Acute Triangle Trigonometry (Sine and Cosine Law)

- She did well in the trigonometry unit where she was able to determine the measures of sides and angles in acute triangles using the sine law and cosine law on her chapter test.

- He demonstrated a thorough understanding of the trigonometry unit where he was able to solve problems involving the sine law and cosine law in acute triangles on his chapter test.

 

Report Card Examples of Significant Strengths for MPM1D

Report Card Examples of Significant Strengths for MPM1D

Click here to go to my REPORT CARD COMMENTS page for more examples!

Chp 1 Rational Numbers

 - She did a great job in the rational numbers unit where she was able to simplify expressions and solve problems involving integers and fractions on her chapter test.

Chp 2 Powers & Polynomials

- He excelled in the powers and polynomials unit where he was able to demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simplify expressions on his chapter test.

Chp 4 Solving Linear Equations

- She did well in the linear equations unit where she was able to use inverse operations to simplify expressions and solve equations on her chapter test.

Chp 7 Properties of 2-D Figures

-       Solve problems involving the measurements of two-dimensional shapes

-       - describe the properties and relationships of the interior and exterior angles of triangles, quadrilaterals, and other polygons

Chp 8 Measurement

-       Find the perimeter and area of composite shapes

-       Optimization of perimeter and area

-       Use formulas to find the volume and surface area of prisms, pyramids, cones and spheres

Chp 3 and 6 Linear Relations

-       interpret the meanings of points on scatter plots

-       describe trends and relationships observed in data

-       construct a table of values, graphs and equations to represent linear relations derived from descriptions of realistic situations

-       compare the properties of direct variation and partial variation in applications, and identify the initial value

-       construct tables of values, scatter plots, and lines or curves of best fit

-       determine the equation of a line of best fit for a scatter plot

-       Interpret the meaning of a distance-time graph in terms of direction and speed.

Chp 5 Analytic Geometry

-       Use the slope formula in order to find the slope of a line

-       Graph a linear equation given in slope y-intercept form

-       Determine the equation of a line given two points

-       determine graphically the point of intersection of two linear relations and describe its meaning

-       Able to convert between slope y-intercept and standard form of a line.