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.

Report Card Examples of Significant Strengths for MFM1P

Report Card Examples of Significant Strengths for MFM1P

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

Chp 7 Polynomials

- able to expand and combine like terms in order to simplify polynomial expressions.

- able to perform inverse operations in order to isolate a variable and solve simple equations.

- simplify numerical expressions involving integers and rational numbers

Chp 4 Proportional Reasoning

- solve problems involving proportional reasoning

- represent, using equivalent ratios and proportions, directly proportional relationships arising from realistic situations

- make comparisons using unit rates

- solve problems involving ratios, rates, and directly proportional relationships

Chp 5 Graphing Relations

- interpret the meanings of points on scatter plots or graphs that represent linear relations

Chp 6 Linear Relations

- construct tables of values and graphs to represent linear relations derived from descriptions of realistic situations

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

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

- express a linear relation as an equation in two variables, using the rate of change and the initial value

Chp 1 Measuring Figures and Objects

- measure the areas and perimeters of figures and the volume of objects

- solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures

- Solve problems using the Pythagorean theorem to find the length of a side in a right triangle

- Solve problems involving the areas and perimeters of composite two-dimensional shapes

-- Solve problems involving the volumes of prisms, pyramids, cylinders, cones, and spheres

Chp 2 Investigating Perimeter and Area of Rectangles

- determine the optimal values of various measurements of rectangles

- determine the maximum area of a rectangle with a given perimeter

- determine the minimum perimeter of a rectangle with a given area.

- solve problems that require maximizing the area of a rectangle with a fixed perimeter or minimizing the perimeter of a rectangle for a fixed area.

Chp 3 Geometry

- describe the properties and relationships of the interior and exterior angles of triangles, quadrilaterals, and other polygons, and apply the results to problems involving the angles of polygons.

- describe the properties and relationships of the angles formed by parallel lines cut by a transversal, and apply the results to problems involving parallel lines.

- he demonstrated a good understanding of the geometry unit where he was able to solve problems involving the sum of the interior and exterior angles in a triangle.

- use geometry rules to determine unknown angles

- he demonstrated a good understanding of the geometry unit where he was able to solve problems involving the alternate, corresponding, and interior angles formed by parallel lines cut by a transversal.

- determine the sum of interior angles of various regular polygons

Report Card Examples of Significant Strengths for MAP4C

Report Card Examples of Significant Strengths for MAP4C

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Chp 1 Measurement and Geometry

- perform required conversions between the imperial system and the metric system.

- solve real-world problems involving the areas of rectangles, triangles, and circles, and of related composite shapes.

- solve problems involving measurement and geometry and arising from real-world applications.

- explain the significance of optimal dimensions in real-world applications, and determine optimal dimensions of two-dimensional shapes and three-dimensional figures.

Chp 2 Trigonometry

- solve problems using primary trigonometric ratios of acute and obtuse angles, the sine law, and the cosine law, including problems arising from real-world applications.

- determine the values of the sine, cosine, and tangent of obtuse angles.

Chp 3 Two-Variable Statistics

- describe characteristics of an effective survey

- create a graphical summary of two-variable data using a scatter plot, with and without technology.

- describe possible interpretations of the line of best fit of a scatter plot and reasons for misinterpretations.

- determine whether a linear model is appropriate given a set of two-variable data, by assessing the correlation between the two variables.

Chp 4 Apply Data Management

- interpret statistics presented in the media, and explain how the media, the advertising industry, and others use and misuse statistics to promote a certain point of view.

- Calculate percent change, percentile rank, and weighted means given a set of data.

Chp 5 Graphical Models

- Interpret graphs to describe a relationship

- Describe trends based on given graphs, and use the trends to make predictions or justify decisions

- Make connections between the formulas, graphs, and tables of values of linear, quadratic, and exponential functions.

- He did well in the graphical models unit where he was able to make connections between the formulas, graphs, and tables of values of linear, quadratic, and exponential functions on his assignment and test.

Chp 6 Algebraic Models

- use exponent laws to simplify and evaluate algebraic expressions

- Solve exponential equations in one variable by determining a common base.

Chp 7 Annuities and Mortgages

- Solve problems, using technology that involve the amount, present value, and regular payment of an ordinary simple annuity

- Determine the effects of varying/regular payment periods and interest rates on the length of time needed to pay off a mortgage.

Chp 8 Budgeting

- Solve problems, that involve the fixed and variable costs of owning or renting accommodation.

- Design a monthly budget suitable for an individual or family and make adjustments to a budget to accommodate changes in circumstances.

- solve problems that involve fixed and variable costs of owning or renting accommodations as well as design a monthly budget.

Report Card Examples of Significant Strengths for MCR3U

Secondary Report Card Comments Examples of Significant Strengths for MCR3U

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

MCR3U

CHAPTER 1 FUNCTIONS

- He demonstrated a thorough understanding of the functions unit where he was able to represent linear and quadratic functions using function notation on his assignment.

- He demonstrated a good understanding of the functions unit where he was able to determine the zeros and the maximum or minimum of a quadratic function, and solve problems involving quadratic functions, including problems arising from real world applications.

- He did well in the functions unit where he was able to simplify radicals and radical expressions by adding, subtracting, and multiplying on his assignment.

- She demonstrated a thorough understanding of the functions unit where she was able to determine the zeros of a quadratic function by factoring or using the quadratic formula.

- She excelled in the functions unit where she was able to solve problems involving the intersection of a linear and quadratic function on her chapter test.

CHAPTER 2 TRANSFORMATION OF FUNCTIONS

- He excelled in the transformation of functions unit where he was able to simplify and state the restrictions on rational expressions by adding, subtracting, multiplying, and dividing.

- She demonstrated a thorough understanding of the transformation of functions unit where she was able to sketch graphs of y=af[k(x-d)]+c by applying one or more transformations to  the parent function on her chapter test.

- He demonstrated a good understanding of the transformation of functions units where he was able to determine the equation of the inverse of a linear or quadratic function and graph it using transformations on his assignment.

CHAPTER 3 EXPONENTIAL FUNCTIONS

- He demonstrated a thorough understanding of the exponential functions unit where he was able to evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of exponential functions on his chapter test.

- She excelled in the exponential functions unit where she was able to identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications on her assignment.

- He demonstrated a good understanding of the exponential functions unit where she was able to determine and describe key properties such as domain/range, intercepts, and asymptotes for exponential functions on his chapter test.

- She excelled in the exponential functions unit where she was able to use transformations to graph exponential functions and determine their domain and range on her chapter test.

- He did well in the exponential functions unit where he was able to represent an exponential function with an equation given its graph on his assignment.

- She did well in the exponential functions unit where she was able to solve real-world problems involving exponential growth and decay on her assignment.

CHAPTER 4 TRIGONOMETRY

- He excelled in the trigonometry unit where he was able to determine the values of the trigonometric ratios for angles less than 360 degrees and prove simple trigonometric identities on his chapter test.

- He did well in the trigonometry unit where he was able to solve problems using the primary trigonometric ratios, sine law and cosine law on his assignment.

- He demonstrated a good understanding of the trigonometry unit where he was able to solve problems using trigonometry including the ambiguous case which has two solutions on his assignment.

- She demonstrated a thorough understanding of the trigonometry unit where she was able to pose and solve problems involving right triangles and oblique triangles in two-dimensional and three-dimensional settings, using the primary trigonometric ratios, the cosine law, and the sine law (including the ambiguous case) on her chapter test.

- She excelled in the trigonometry unit where she was able to solve problems involving right triangles and oblique triangles in 2-D and 3-D settings using the primary trigonometric ratios, sine law, and cosine law (including the ambiguous case).

- He did well in the trigonometry unit where he was able to solve problems using the primary trigonometric ratios, sine law, and cosine law in both 2-D and 3-D triangles on his assignment.

CHAPTER 5 TRIGONOMETRIC FUNCTIONS

-  He did well in the trigonometric functions unit where he was able to describe key properties of periodic functions on his chapter test.

- She demonstrated a good understanding of periodic relationships and sinusoidal functions, and made connections between the numeric, graphical, and algebraic representations of sinusoidal functions on her assignment.

- She was able to identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including those arising from real-world applications on her chapter test.

- He excelled in the trigonometric functions unit where he was able to sketch sinusoidal functions using the transformations of key points of the sine or cosine curve on his chapter test.

- _______did an excellent job in the trigonometric 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 trigonometric functions unit where he was able to sketch sine graphs and determine key properties including period, amplitude, domain and range on his assignment.

- She excelled in the trigonometric functions unit where she was able to describe key properties of periodic functions and solve problems involving sinusoidal functions arising from real-world applications on her chapter test.

CHAPTER 6 DISCRETE FUNCTIONS

- He did well in the discrete functions unit where he was able to use Pascal’s Triangle to expand binomials on his assignment.

- She demonstrated a thorough understanding of the discrete functions unit where she was able to determine the formula for the general term of an arithmetic or geometric sequence and apply the formula to calculate any term in a sequence on her chapter test.

- He excelled in the discrete functions unit where he was able to determine the formula for the sum of an arithmetic or geometric series, and apply the formula to calculate the sum of a given number of consecutive terms on his chapter test.

- She demonstrated a good understanding of the discrete functions unit where she was able to solve problems involving arithmetic and geometric sequences and series on her assignment.

CHAPTER 7 FINANCIAL APPLICATIONS

- She excelled in the finance unit where she was able to solve problems that involve the amount, the present value, and the regular payment of an ordinary simple annuity on her assignment.

- He demonstrated a good understanding of the finance unit where he was able to solve problems involving compound interest and ordinary simple annuities on his chapter test.

- 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.

- 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.

 

Exam Reference Sheet

After reviewing each unit, I had the students jot down a few things that they should put on their reference sheet for their upcoming exam.  If anyone told me they didn't know what to write on their sheet, I'd point to the board  :)