| Outcome | Grade | Description | Strand |
|---|---|---|---|
| NK.1 | K | Say the whole number sequence by 1s starting anywhere from 0 to 10 and from 10 to 0. ([C, CN, V]) | Number |
| NK.2 | K | Recognize, at a glance, and name familiar arrangements of 1 to 5 objects, dots, or pictures. ([C, CN, ME, V]) | Number |
| NK.3 | K | Relate a numeral, 0 to 10, to its respective quantity. ([C, R, V]) | Number |
| NK.4 | K | Represent the partitioning of whole numbers (1 to 10) concretely and pictorially. ([C, CN, ME, R, V]) | Number |
| NK.5 | K | Compare quantities, 0 to 10, using one-to-one correspondence. ([C, CN, V]) | Number |
| PK.1 | K | Demonstrate an understanding of repeating patterns (two or three elements) by: • identifying • reproducing • extending • creating patterns using manipulatives, sounds, and actions. ([C, CN, PS, V]) | Patterns & Relations |
| SSK.1 | K | Use direct comparison to compare two objects based on a single attribute, such as: • length including height • mass • volume • capacity. ([C, CN, PS, R,V]) | Shape & Space |
| SSK.2 | K | Sort 3-D objects using a single attribute. ([C, CN, PS, R, V]) | Shape & Space |
| SSK.3 | K | Build and describe 3-D objects. ([C, PS, V]) | Shape & Space |
| N1.1 | 1 | Say the number sequence, 0 to 100, by: • 1s forward and backward between any two given numbers • 2s to 20, forward starting at 0 • 5s and 10s to 100, forward starting at 0. ([C, CN, V, ME]) | Number |
| N1.2 | 1 | Recognize, at a glance, and name familiar arrangements of 1 to 10 objects, dots, and pictures. ([C, CN, V, ME]) | Number |
| N1.3 | 1 | Demonstrate an understanding of counting by: • indicating that the last number said identifies "how many" • showing that any set has only one count using the counting on strategy • using parts or equal groups to count sets. ([C, CN, ME, R, V]) | Number |
| N1.4 | 1 | Represent and describe whole numbers to 20 concretely, pictorially, and symbolically. ([C, CN, V]) | Number |
| N1.5 | 1 | Compare sets containing up to 20 elements to solve problems using: • referents (known quantity) • one-to-one correspondence. ([C, CN, ME, PS, R, V]) | Number |
| N1.6 | 1 | Estimate quantities to 20 by using referents. ([C, PS, ME, R, V]) | Number |
| N1.7 | 1 | Demonstrate, concretely, physically, and pictorially, how whole numbers can be represented by a variety of equal groupings with and without singles. ([C, R, V]) | Number |
| N1.8 | 1 | Identify the number, up to 20, that is one more, two more, one less, and two less than a given number. ([C, CN, ME, R, V]) | Number |
| N1.9 | 1 | Demonstrate an understanding of addition of numbers with answers to 20 and the corresponding subtraction facts, concretely, pictorially, physically, and symbolically by: • using familiar and mathematical language to describe additive and subtractive actions from their experience • creating and solving problems in context that involve addition and subtraction • modelling addition and subtraction using a variety of concrete and visual representations, and recording the process symbolically. ([C, CN, ME, PS, R, V]) | Number |
| N1.10 | 1 | Describe and use mental mathematics strategies (memorization not intended), such as: • counting on and counting back • making 10 • doubles • using addition to subtract to determine basic addition facts to 18 and related subtraction facts. ([C, CN, ME, PS, R, V]) | Number |
| P1.1 | 1 | Demonstrate an understanding of repeating patterns (two to four elements) by: • describing • reproducing • extending • creating patterns using manipulatives, diagrams, sounds, and actions. ([C, PS, R, V]) | Patterns & Relations |
| P1.2 | 1 | Translate repeating patterns from one form of representation to another. ([C, R, V]) | Patterns & Relations |
| P1.3 | 1 | Describe equality as a balance and inequality as an imbalance, concretely, physically, and pictorially (0 to 20). ([C, CN, R, V]) | Patterns & Relations |
| P1.4 | 1 | Record equalities using the equal symbol. ([C, CN, PS, V]) | Patterns & Relations |
| SS1.1 | 1 | Demonstrate an understanding of measurement as a process of comparing by: • identifying attributes that can be compared • ordering objects • making statements of comparison • filling, covering, or matching. ([C, CN, ME, R, V]) | Shape & Space |
| SS1.2 | 1 | Sort 3-D objects and 2-D shapes using one attribute, and explain the sorting rule. ([C, CN, R, V]) | Shape & Space |
| SS1.3 | 1 | Replicate composite 2-D shapes and 3-D objects. ([CN, PS, V]) | Shape & Space |
| SS1.4 | 1 | Compare 2-D shapes to parts of 3-D objects in the environment. ([C, CN, V]) | Shape & Space |
| N2.1 | 2 | Demonstrate understanding of whole numbers to 100 (concretely, pictorially, physically, orally, in writing, and symbolically) by: • representing (including place value) • describing • skip counting • differentiating between odd and even numbers • estimating with referents • comparing two numbers • ordering three or more numbers. ([C, CN, ME, PS, R, V]) | Number |
| N2.2 | 2 | Demonstrate understanding of addition (limited to 1 and 2-digit numerals) with answers to 100 and the corresponding subtraction by: • representing strategies for adding and subtracting concretely, pictorially, and symbolically • creating and solving problems involving addition and subtraction • estimating • using personal strategies for adding and subtracting with and without the support of manipulatives • analyzing the effect of adding or subtracting zero • analyzing the effect of the ordering of the quantities (addends, minuends, and subtrahends) in addition and subtraction statements. ([C, CN, ME, PS, R, V]) | Number |
| P2.1 | 2 | Demonstrate understanding of repeating patterns (three to five elements) by: • describing • representing patterns in alternate modes • extending • comparing • creating patterns using manipulatives, pictures, sounds, and actions. ([C, CN, ME, PS, R, V]) | Number |
| P2.2 | 2 | Demonstrate understanding of increasing patterns by: • describing • reproducing • extending • creating patterns using manipulatives, pictures, sounds, and actions (numbers to 100). ([C, CN, ME, PS, R, V]) | Patterns & Relations |
| P2.3 | 2 | Demonstrate understanding of equality and inequality concretely and pictorially (0 to 100) by: • relating equality and inequality to balance • comparing sets • recording equalities with an equal sign • recording inequalities with a not equal sign • solving problems involving equality and inequality. ([C, CN, R, V]) | Patterns & Relations |
| SP2.1 | 2 | Demonstrate understanding of concrete graphs and pictographs. ([C, CN, PS, R, V]) | Statistics & Probability |
| SS2.1 | 2 | Demonstrate understanding of non-standard units for linear measurement by: • describing the choice and appropriate use of non-standard units • estimating • measuring • comparing and analyzing measurements. ([C, CN, ME, R, V]) | Shape & Space |
| SS2.2 | 2 | Demonstrate understanding of non-standard units for measurement of mass by: • describing the choice and appropriate use of non-standard units • estimating • measuring • comparing and analyzing measurements. ([C, CN, ME, R, V]) | Shape & Space |
| SS2.3 | 2 | Describe, compare, and construct 3-D objects, including: • cubes • spheres • cones • cylinders • pyramids. ([C, CN, R, V]) | Shape & Space |
| SS2.4 | 2 | Describe, compare, and construct 2-D shapes, including • triangles • squares • rectangles • circles. ([C, CN, R, V]) | Shape & Space |
| SS2.5 | 2 | Demonstrate understanding of the relationship between 2-D shapes and 3-D objects. ([C, CN, R, V]) | Shape & Space |
| N3.1 | 3 | Demonstrate understanding of whole numbers to 1000 (concretely, pictorially, physically, orally, in writing, and symbolically) including: • representing (including place value) • describing • estimating with referents • comparing two numbers • ordering three or more numbers. ([C, R, V]) | Number |
| N3.2 | 3 | Demonstrate understanding of addition of whole numbers with answers to 1000 and their corresponding subtractions (limited to 1, 2, and 3-digit numerals) including: • representing strategies for adding and subtracting concretely, pictorially, and symbolically • solving situational questions involving addition and subtraction • estimating using personal strategies for adding and subtracting. ([CN, ME, PS, R, V]) | Number |
| N3.3 | 3 | Demonstrate understanding of multiplication to 5 x 5 and the corresponding division statements including: • representing and explaining using repeated addition or subtraction, equal grouping, and arrays • creating and solving situational questions • modelling processes using concrete, physical, and visual representations, and recording the process symbolically • relating multiplication and division. Note: The focus of this outcome is for the students to become familiar with multiplication and division and strategies for mentally determining products and quotients. It is not intended that students memorize the basic facts. ([C, CN, PS, R]) | Number |
| N3.4 | 3 | Demonstrate understanding of fractions concretely, pictorially, physically, and orally including: • representing • observing and describing situations • comparing • relating to quantity. ([C, CN, R]) | Number |
| P3.1 | 3 | Demonstrate understanding of increasing and decreasing patterns including: • observing and describing • extending • comparing • creating patterns using manipulatives, pictures, sounds, and actions. Note: It is intended that decreasing patterns will not go past zero. ([C, CN, PS, R, V]) | Patterns & Relations |
| P3.2 | 3 | Demonstrate understanding of equality by solving one-step addition and subtraction equations involving symbols representing an unknown quantity. ([C, CN, ME, R]) | Patterns & Relations |
| SP3.1 | 3 | Demonstrate understanding of first-hand data using tally marks, charts, lists, bar graphs, and line plots (abstract pictographs), through: • collecting, organizing, and representing • solving situational questions. ([C, CN, PS, R, V]) | Statistics & Probability |
| SS3.1 | 3 | Demonstrate understanding of the passage of time including: • relating common activities to standard and non-standard units • describing relationships between units • solving situational questions. ([C, CN, PS, R]) | Shape & Space |
| SS3.2 | 3 | Demonstrate understanding of measuring mass in g and kg by: • selecting and justifying referents for g and kg • modelling and describing the relationship between g and kg • estimating mass using referents • measuring and recording mass. ([C, CN, ME, R]) | Shape & Space |
| SS3.3 | 3 | Demonstrate understanding of linear measurement (cm and m) including: • selecting and justifying referents • generalizing the relationship between cm and m • estimating length and perimeter using referents • measuring and recording length, width, height, and perimeter. ([C, CN, ME, PS, R, V]) | Shape & Space |
| SS3.4 | 3 | Demonstrate understanding of 3-D objects by analyzing characteristics including faces, edges, and vertices. ([C, V]) | Shape & Space |
| SS3.5 | 3 | Demonstrate understanding of 2-D shapes (regular and irregular) including triangles, quadrilaterals, pentagons, hexagons, and octagons including: • describing • comparing • sorting. ([C, CN, R]) | Shape & Space |
| N4.1 | 4 | Demonstrate an understanding of whole numbers to 10 000 (pictorially, physically, orally, in writing, and symbolically) by: • representing • describing • comparing two numbers • ordering three or more numbers. ([C, R, V]) | Number |
| N4.2 | 4 | Demonstrate an understanding of addition of whole numbers with answers to 10 000 and their corresponding subtractions (limited to 3 and 4-digit numerals) by: • using personal strategies for adding and subtracting • estimating sums and differences • solving problems involving addition and subtraction. ([C, CN, ME, PS, R]) | Number |
| N4.3 | 4 | Demonstrate an understanding of multiplication of whole numbers (limited to numbers less than or equal to 10) by: • applying mental mathematics strategies • explaining the results of multiplying by 0 and 1 ([C, CN, R]) | Number |
| N4.4 | 4 | Demonstrate an understanding of multiplication (2- or 3-digit by 1-digit) by: • using personal strategies for multiplication, with and without concrete materials • using arrays to represent multiplication • connecting concrete representations to symbolic representations • estimating products • solving problems. ([C,ME, PS, R, V]) | Number |
| N4.5 | 4 | Demonstrate an understanding of division (1-digit divisor and up to 2-digit dividend) to solve problems by: • using personal strategies for dividing with and without concrete materials • estimating quotients • explaining the results of dividing by 1 • solving problems involving division of whole numbers • Relating division to multiplication. ([C, CN, ME, PS, R, V]) | Number |
| N4.6 | 4 | Demonstrate an understanding of fractions less than or equal to one by using concrete and pictorial representations to: • name and record fractions for the parts of a whole or a set • compare and order fractions • model and explain that for different wholes, two identical fractions may not represent the same quantity • provide examples of where fractions are used. ([C, CN, PS, R, V]) | Number |
| N4.7 | 4 | Demonstrate an understanding of decimal numbers in tenths and hundredths (pictorially, orally, in writing, and symbolically) by: • describing • representing • relating to fractions. ([C, CN, V]) | Number |
| N4.8 | 4 | Demonstrate an understanding of addition and subtraction of decimals limited to hundredths (concretely, pictorially, and symbolically) by: • using compatible numbers • estimating sums and differences • using mental math strategies • solving problems. ([C, ME, PS, R, V]) | Number |
| P4.1 | 4 | Demonstrate an understanding of patterns and relations by: • identifying and describing patterns and relations in a chart, table or diagram • reproducing patterns and relations in a chart, table, or diagram using manipulatives • creating charts, tables, or diagrams to represent patterns and relations • solving problems involving patterns and relations ([C, CN, PS, R]) | Patterns & Relations |
| P4.2 | 4 | Demonstrate an understanding of equations involving symbols to represent an unknown value by: • writing an equation to represent a problem • solving one step equations. ([C, ME, PS, R]) | Patterns & Relations |
| SP4.1 | 4 | Demonstrate an understanding of many-to-one correspondence by: • comparing correspondences on graphs • justifying the use of many-to-one correspondences • interpreting data shown using a many-to-one correspondence • creating bar graphs and pictographs using many-to-one correspondence. ([C, R, T, V]) | Statistics & Probability |
| SS4.1 | 4 | Demonstrate an understanding of time by: • reading and recording time using digital and analog clocks (including 24 hour clocks) • reading and recording calendar dates in a variety of formats. ([C, CN, V]) | Shape & Space |
| SS4.2 | 4 | Demonstrate an understanding of area of regular and irregular 2-D shapes by: • recognizing that area is measured in square units • selecting and justifying referents for the units cm² or m² • estimating area by using referents for cm² or m² • determining and recording area (cm² or m²) constructing different rectangles for a given area (cm² or m²) in order to demonstrate that many different rectangles may have the same area. ([C, CN, ME, PS, R, V]) | Shape & Space |
| SS4.3 | 4 | Demonstrate an understanding of rectangular and triangular prisms by: • identifying common attributes • comparing • constructing models. ([C, CN, R, V]) | Shape & Space |
| SS4.4 | 4 | Demonstrate an understanding of line symmetry by: • identifying symmetrical 2-D shapes • creating symmetrical 2-D shapes • drawing one or more lines of symmetry in a 2-D shape. ([C, CN, V]) | Shape & Space |
| N5.1 | 5 | Represent, compare, and describe whole numbers to 1 000 000 within the contexts of place value and the base ten system, and quantity. ([C, CN, R,T, V]) | Number |
| N5.2 | 5 | Analyze models of, develop strategies for, and carry out multiplication of whole numbers. ([C, CN, ME, PS, R, V]) | Number |
| N5.3 | 5 | Demonstrate, with and without concrete materials, an understanding of division (3-digit by 1-digit) and interpret remainders to solve problems. ([C, CN, PS, R]) | Number |
| N5.4 | 5 | Develop and apply personal strategies for estimation and computation including: • front-end rounding • compensation • compatible numbers. ([C, CN, ME, PS, R, V]) | Number |
| N5.5 | 5 | Demonstrate an understanding of fractions by using concrete and pictorial representations to: • create sets of equivalent fractions • compare fractions with like and unlike denominators. ([C, CN, PS, R, V]) | Number |
| N5.6 | 5 | Demonstrate understanding of decimals to thousandths by: • describing and representing • relating to fractions • comparing and ordering. ([C, CN, R, V]) | Number |
| N5.7 | 5 | Demonstrate an understanding of addition and subtraction of decimals (limited to thousandths). ([C, CN, PS, R, V]) | Number |
| P5.1 | 5 | Represent, analyse, and apply patterns using mathematical language and notation. ([C, CN, PS, R, V]) | Patterns & Relations |
| P5.2 | 5 | Write, solve, and verify solutions of single-variable, one-step equations with whole number coefficients and whole number solutions. ([C, CN, PS, R]) | Patterns & Relations |
| SP5.1 | 5 | Differentiate between first-hand and second-hand data. ([C, R, T, V]) | Statistics & Probability |
| SP5.2 | 5 | Construct and interpret double bar graphs to draw conclusions. | Statistics & Probability |
| SP5.3 | 5 | Describe, compare, predict, and test the likelihood of outcomes in probability situations. ([C, CN, PS, R]) | Statistics & Probability |
| SS5.1 | 5 | Design and construct different rectangles given either perimeter or area, or both (whole numbers), and draw conclusions. ([C, CN, PS, V]) | Shape & Space |
| SS5.2 | 5 | Demonstrate understanding of measuring length (mm) by: • selecting and justifying referents for the unit mm • modelling and describing the relationship between mm, cm, and m units. ([C, CN, ME, PS, R, V]) | Shape & Space |
| SS5.3 | 5 | Demonstrate an understanding of volume by: • selecting and justifying referents for cm³ or m³ units • estimating volume by using referents for cm³ or m³ • measuring and recording volume (cm³ or m³) • constructing rectangular prisms for a given volume. ([C, CN, ME, PS, R, V]) | Shape & Space |
| SS5.4 | 5 | Demonstrate understanding of capacity by: • describing the relationship between mL and L • selecting and justifying referents for mL or L units • estimating capacity by using referents for mL or L • measuring and recording capacity (mL or L). ([C, CN, ME, PS, R, V]) | Shape & Space |
| SS5.5 | 5 | Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are: parallel, intersecting, perpendicular, vertical, horizontal. ([C, CN, R, T, V]) | Shape & Space |
| SS5.6 | 5 | Identify and sort quadrilaterals, including: rectangles, squares, trapezoids, parallelograms, rhombuses according to their attributes. ([C, R, V]) | Shape & Space |
| SS5.7 | 5 | Identify, create, and analyze single transformations of 2-D shapes (with and without the use of technology). ([C, CN, R, T, V]) | Shape & Space |
| N6.1 | 6 | Demonstrate understanding of place value including: • greater than one million • less than one thousandth with and without technology. ([C, CN, PS, R, T]) | Number |
| N6.2 | 6 | Demonstrate understanding of factors and multiples (concretely, pictorially, and symbolically) including: • determining factors and multiples of numbers less than 100 • relating factors and multiples to multiplication and division • determining and relating prime and composite numbers. ([C, CN, ME, PS, R]) | Number |
| N6.3 | 6 | Demonstrate understanding of the order of operations on whole numbers (excluding exponents) with and without technology. ([N, ME, PS, T]) | Number |
| N6.4 | 6 | Extend understanding of multiplication and division to decimals (1-digit whole number multipliers and 1-digit natural number divisors). ([C, CN, ME, PS, R]) | Number |
| N6.5 | 6 | Demonstrate understanding of percent (limited to whole numbers to 100) concretely, pictorially, and symbolically. ([C, CN, PS, R, V]) | Number |
| N6.6 | 6 | Demonstrate understanding of integers concretely, pictorially, and symbolically. ([C, CN, R, V]) | Number |
| N6.7 | 6 | Extend understanding of fractions to improper fractions and mixed numbers. ([CN, ME, R, V]) | Number |
| N6.8 | 6 | Demonstrate an understanding of ratio concretely, pictorially, and symbolically. ([C, CN, PS, R, V]) | Number |
| N6.9 | 6 | Research and present how First Nations and Métis peoples, past and present, envision, represent, and use quantity in their lifestyles and worldviews. | Number |
| P6.1 | 6 | Extend understanding of patterns and relationships in tables of values and graphs. ([C, CN, PS, R]) | Patterns & Relations |
| P6.2 | 6 | Extend understanding of preservation of equality concretely, pictorially, physically, and symbolically. ([C, CN, R]) | Patterns & Relations |
| P6.3 | 6 | Extend understanding of patterns and relationships by using expressions and equations involving variables. ([C, CN, R]) | Patterns & Relations |
| SP6.1 | 6 | Extend understanding of data analysis to include: • line graphs • graphs of discrete data • data collection through questionnaires, experiments, databases, and electronic media • interpolation and extrapolation. ([C, CN, PS, R, V, T]) | Statistics & Probability |
| SP6.2 | 6 | Demonstrate understanding of probability by: • determining sample space • differentiating between experimental and theoretical probability • determining the theoretical probability • determining the experimental probability • comparing experimental and theoretical probabilities. ([C, PS, R, T]) | Statistics & Probability |
| SS6.1 | 6 | Demonstrate understanding of angles including: • identifying examples classifying angles • estimating the measure • determining angle measures in degrees • drawing angles • applying angle relationships in triangles and quadrilaterals. ([C, CN, ME, PS, R, V]) | Shape & Space |
| SS6.2 | 6 | Extend and apply understanding of perimeter of polygons, area of rectangles, and volume of right rectangular prisms (concretely, pictorially, and symbolically) including: • relating area to volume • comparing perimeter and area • comparing area and volume • generalizing strategies and formulae • analyzing the effect of orientation • solving situational questions. ([CN, PS, R, V]) | Shape & Space |
| SS6.3 | 6 | Demonstrate understanding of regular and irregular polygons including: • classifying types of triangles • comparing side lengths • comparing angle measures • differentiating between regular and irregular polygons • analyzing for congruence. ([C, CN, R, V]) | Shape & Space |
| SS6.4 | 6 | Demonstrate understanding of the first quadrant of the Cartesian plane and ordered pairs with whole number coordinates. ([C, CN, R, V]) | Shape & Space |
| SS6.5 | 6 | Demonstrate understanding of single, and combinations of, transformations of 2-D shapes (with and without the use of technology) including: • identifying • describing • performing. ([C, CN, R, T, V]) | Shape & Space |
| N7.1 | 7 | Demonstrate an understanding of division through the development and application of divisibility strategies for 2, 3, 4, 5, 6, 8, 9, and 10, and through an analysis of division involving zero. ([C, CN, ME,R]) | Number |
| N7.2 | 7 | Expand and demonstrate understanding of the addition, subtraction, multiplication, and division of decimals to greater numbers of decimal places, and the order of operations. ([C, CN, ME, PS, R, T]) | Number |
| N7.3 | 7 | Demonstrate an understanding of the relationships between positive decimals, positive fractions (including mixed numbers, proper fractions and improper fractions), and whole numbers. ([C, CN, ME, R, T]) | Number |
| N7.4 | 7 | Expand and demonstrate an understanding of percent to include fractional percents between 1% and 100%. ([C, PS, R]) | Number |
| N7.5 | 7 | Develop and demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially, and symbolically (limited to positive sums and differences). ([C, CN, ME, PS, R, V]) | Number |
| N7.6 | 7 | Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and symbolically. ([C, CN, PS, R, V]) | Number |
| P7.1 | 7 | Demonstrate an understanding of the relationships between oral and written patterns, graphs and linear relations. ([C, CN, R]) | Patterns & Relations |
| P7.2 | 7 | Demonstrate an understanding of equations and expressions by: distinguishing between equations and expressions, evaluating expressions, verifying solutions to equations. ([C, CN, ME]) | Patterns & Relations |
| P7.3 | 7 | Demonstrate an understanding of one- and two-step linear equations of the form ax/b + c = d (where a, b, c, and d are whole numbers, c ? d and b ? 0) by modeling the solution of the equations concretely, pictorially, physically, and symbolically and explaining the solution in terms of the preservation of equality. ([C, CN, PS, R, V]) | Patterns & Relations |
| P7.4 | 7 | Demonstrate an understanding of linear equations of the form x + a = b (where a and b are integers) by modeling problems as a linear equation and solving the problems concretely, pictorially, and symbolically. ([C, CN, PS, R, V]) | Patterns & Relations |
| SP7.1 | 7 | Demonstrate an understanding of the measures of central tendency and range for sets of data. ([C, CN, PS, R, T]) | Statistics & Probability |
| SP7.2 | 7 | Demonstrate an understanding of circle graphs. ([C, CN, PS, R, T]) | Statistics & Probability |
| SP7.3 | 7 | Demonstrate an understanding of theoretical and experimental probabilities for two independent events where the combined sample space has 36 or fewer elements. ([C, ME, PS, R, T]) | Statistics & Probability |
| SS7.1 | 7 | Demonstrate an understanding of circles including circumference and central angles. ([C, CN, R, V]) | Shape & Space |
| SS7.2 | 7 | Develop and apply formulas for determining the area of: triangles, parallelograms, circles. ([CN, PS, R, V]) | Shape & Space |
| SS7.3 | 7 | Demonstrate an understanding of 2-D relationships involving lines and angles. ([CN, R, V, T]) | Shape & Space |
| SS7.4 | 7 | Demonstrate an understanding of the Cartesian plane and ordered pairs with integral coordinates. ([C, CN, V]) | Shape & Space |
| SS7.5 | 7 | Expand and demonstrate an understanding of transformations (translations, rotations, and reflections) of 2-D shapes in all four quadrants of the Cartesian plane. ([CN, PS, T, V]) | Shape & Space |
| N8.1 | 8 | Demonstrate understanding of the square and principle square root of whole numbers concretely or pictorially and symbolically. ([CN, ME, R, T, V]) | Number |
| N8.2 | 8 | Expand and demonstrate understanding of percents greater than or equal to 0% (including fractional and decimal percents) concretely, pictorially, and symbolically. ([CN, PS, R, V]) | Number |
| N8.3 | 8 | Demonstrate understanding of rates, ratios, and proportional reasoning concretely, pictorially, and symbolically. ([C, CN, PS, R, V]) | Number |
| N8.4 | 8 | Demonstrate understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially, and symbolically. ([C, CN, ME, PS]) | Number |
| N8.5 | 8 | Demonstrate understanding of multiplication and division of integers concretely, pictorially, and symbolically. ([C, CN, PS, R, V]) | Number |
| P8.1 | 8 | Demonstrate understanding of linear relations concretely, pictorially (including graphs), physically, and symbolically. ([CN, ME, PS, R, T, V]) | Patterns & Relations |
| P8.2 | 8 | Model and solve problems using linear equations of the form: • ax=b • x/a=b, a≠0 • ax+b=c • x/a+b=c,a≠0 • a(x+b)=c • concretely, pictorially, and symbolically, where a, b, and c are integers. ([C, CN, PS, V]) | Patterns & Relations |
| SP8.1 | 8 | Analyze the modes of displaying data and the reasonableness of conclusions. ([C, CN, R]) | Statistics & Probability |
| SP8.2 | 8 | Demonstrate understanding of the probability of independent events concretely, pictorially, orally, and symbolically. ([C, CN, PS, T]) | Statistics & Probability |
| SS8.1 | 8 | Demonstrate understanding of the Pythagorean Theorem concretely or pictorially and symbolically and by solving problems. ([CN, PS, R, T, V]) | Shape & Space |
| SS8.2 | 8 | Demonstrate understanding of the surface area of 3-D objects limited to right prisms and cylinders (concretely, pictorially, and symbolically) by: • analyzing views • sketching and constructing 3-D objects, nets, and top, side, and front views • generalizing strategies and formulae • analyzing the effect of orientation • solving problems. ([CN, PS, R, T, V]) | Shape & Space |
| SS8.3 | 8 | Demonstrate understanding of volume limited to right prisms and cylinders (concretely, pictorially, or symbolically) by: • relating area to volume • generalizing strategies and formulae • analyzing the effect of orientation • solving problems. ([CN, PS, R, V]) | Shape & Space |
| SS8.4 | 8 | Demonstrate an understanding of tessellation by: • explaining the properties of shapes that make tessellating possible • creating tessellations • identifying tessellations in the environment. ([C, CN, PS, T, V]) | Shape & Space |
| N9.1 | 9 | Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including: representing using powers, evaluating powers, powers with an exponent of zero, solving situational questions. ([C, CN, PS, R, T]) | Number |
| N9.2 | 9 | Demonstrate understanding of rational numbers including: comparing and ordering, relating to other types of numbers, solving situational questions. ([C, CN, PS, R, T, V]) | Number |
| N9.3 | 9 | Extend understanding of square roots to include the square root of positive rational numbers. ([CN, ME, R, T, V]) | Number |
| P9.1 | 9 | Demonstrate understanding of linear relations including: graphing, analyzing, interpolating and extrapolating, solving situational questions. ([C, CN, PS, R, T, V]) | Patterns & Relations |
| P9.2 | 9 | Model and solve situational questions using linear equations of the form: ax=b, x/a=b a≠0, ax+b=c, x/a+b=c a≠0, ax=b+cx, a(x+b)=c, ax+b=cx+d, a(bx+c)=d(ex+f), a/x=b x≠0 | Patterns & Relations |
| P9.3 | 9 | Demonstrate understanding of single variable linear inequalities with rational coefficients including: solving inequalities, verifying, comparing, graphing. ([C, CN, PS, R, V]) | Patterns & Relations |
| P9.4 | 9 | Demonstrate understanding of polynomials (limited to polynomials of degree less than or equal to 2) including: modeling, generalizing strategies for addition, subtraction, multiplication, and division, analyzing, relating to context, comparing for equivalency. ([C, CN, R, V]) | Patterns & Relations |
| SP9.1 | 9 | Demonstrate understanding of the effect of: bias, use of language, ethics, cost, time and timing, privacy, cultural sensitivity, and population or sample on data collection. ([C, PS, R, T]) | Statistics & Probability |
| SP9.2 | 9 | Demonstrate an understanding of the collection, display, and analysis of data through a project. ([C, PS, R, T, V]) | Statistics & Probability |
| SP9.3 | 9 | Demonstrate an understanding of the role of probability in society. ([C, CN, R, T]) | Statistics & Probability |
| SP9.4 | 9 | Research and present how First Nations and Métis peoples, past and present, envision, represent, and make use of probability and statistics. | Statistics & Probability |
| SS9.1 | 9 | Demonstrate understanding of circle properties including: perpendicular line segments from the centre of a circle to a chord, bisect the chord, inscribed angles subtended by the same arc have the same measure, the measure of a central angle is twice the measure of an inscribed angle subtending the same arc, tangents to a circle are perpendicular to the radius ending at the point of tangency. ([C, CN, PS, R, T, V]) | Shape & Space |
| SS9.2 | 9 | Extend understanding of area to surface area of right rectangular prisms, right cylinders, right triangular prisms, to composite 3-D objects. ([CN, PS, R, V]) | Shape & Space |
| SS9.3 | 9 | Demonstrate understanding of similarity of 2-D shapes. ([C, CN, PS, R, V]) | Shape & Space |
| SS9.4 | 9 | Demonstrate understanding of line and rotation symmetry. ([C, CN, PS, V]) | Shape & Space |
| FP10.1 | 10 | Demonstrate understanding of factors of whole numbers by determining the: prime factors, greatest common factor, least common multiple, principal square root, cube root. ([CN, ME, R]) | |
| FP10.2 | 10 | Demonstrate understanding of irrational numbers in both radical (including mixed radical) and exponent forms through: representing, identifying, simplifying, ordering, relating to rational numbers, applying exponent laws. ([C, CN, ME, PS, R, V]) | |
| FP10.3 | 10 | Demonstrate understanding of SI and imperial units of measurement including: linear measurement, surface area of spheres, and right cones, cylinders, prisms, and pyramids, volume of spheres, and right cones, cylinders, prisms, and pyramids, relationships between and within measurement systems. ([C, CN, ME, PS, R, V]) | |
| FP10.4 | 10 | Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles. ([C, CN, PS, R, T, V]) | |
| FP10.5 | 10 | Demonstrate understanding of the multiplication and factoring of polynomial expressions (concretely, pictorially, and symbolically) including: multiplying of monomials, binomials, and trinomials, common factors, trinomial factoring, relating multiplication and factoring of polynomials. ([C, CN, R, V]) | |
| FP10.6 | 10 | Expand and apply understanding of relations and functions including: relating data, graphs, and situations analyzing and interpreting distinguishing between relations and functions. ([C, CN, R, T, V]) | |
| FP10.7 | 10 | Demonstrate, with and without the use of technology, understanding of slope (concretely, pictorially, and symbolically) with respect to: line segments and lines, rate of change, ratio of rise to run, parallel lines, perpendicular lines. ([PS, R, V]) | |
| FP10.8 | 10 | Demonstrate understanding of linear relations including: representing in words, ordered pairs, tables of values, graphs, function notation, and equations, determining characteristics including intercepts, slope, domain, and range, relating different equation forms to each other and to graphs. ([C, CN, PS, R, T, V]) | |
| FP10.9 | 10 | Demonstrate understanding of the writing and application of equations of linear relations, given: a graph of a relation, a point that satisfies a relation and the slope of the relation, two distinct points that satisfy a relation, a point that satisfies the relation and the equation of a line parallel or perpendicular to the relation. ([CN, PS, R, V]) | |
| FP10.10 | 10 | Solve problems that involve systems of linear equations in two variables, graphically and algebraically. ([CN, PS, R, T, V]) | |
| WA10.1 | 10 | Demonstrate understanding of the preservation of equality including solving problems that involve the manipulation and application of formulas related to: perimeter, area, the Pythagorean Theorem, primary trigonometric ratios, income. ([C, CN, ME, PS, R, T]) | |
| WA10.2 | 10 | Analyze puzzles and games that involve spatial reasoning using problem solving strategies. ([C, CN, PS, R]) | |
| WA10.3 | 10 | Demonstrate using concrete and pictorial models and symbolic representations understanding of measurement systems including: The Système International (SI), The British Imperial system, The US customary system. ([C, CN, ME, T, V]) | |
| WA10.4 | 10 | Demonstrate using concrete and pictorial models and symbolic rrepresentations understanding of linear measurement including units in the SI and Imperial systems of measurement. ([CN, ME, PS, R, T, V]) | |
| WA10.5 | 10 | Demonstrate using concrete and pictorial models and symbolic representations understanding of area of 2-D shapes and surface area of 3-D objects including units in SI and Imperial systems of measurement. ([CN, ME, PS, R, T, V]) | |
| WA10.6 | 10 | Apply understanding of the Pythagorean Theorem to solve problems. ([C, CN, PS, T, V]) | |
| WA10.7 | 10 | Demonstrate understanding of similarity of convex polygons including regular and irregular polygons. ([C, CN, PS, T, V]) | |
| WA10.8 | 10 | Demonstrate an understanding of primary trigonometric ratios (sine cosine and tangent). ([CN, PS, R, T, V]) | |
| WA10.9 | 10 | Demonstrate understanding of angles including: drawing and sketching, replicating and constructing, bisecting, relating to parallel perpendicular and transversal lines, solving problems. ([C, ME, PS, T, V]) | |
| WA10.10 | 10 | Apply proportional reasoning to solve problems involving unit pricing and currency exchange. ([CN, ME, PS, R, T]) | |
| WA10.11 | 10 | Demonstrate understanding of income including: wages, salary, contracts, commissions, piecework, self-employment, gross pay, net pay. ([C, CN, R, T]) | |
| FM20.1 | 20 | Demonstrate understanding of the mathematics involved in an historical event or an area of interest. ([C, CN, ME, PS, R, T, V]) | |
| FM20.2 | 20 | Demonstrate understanding of inductive and deductive reasoning including: analyzing conjectures, analyzing spatial puzzles and games, providing conjectures, solving problems. ([C, CN,PS, R, V]) | |
| FM20.3 | 20 | Expand and demonstrate understanding of proportional reasoning related to: rates, scale diagrams, scale factor, area, surface area, volume. ([C, CN, PS, R, V]) | |
| FM20.4 | 20 | Demonstrate understanding of properties of angles and triangles including: deriving proofs based on theorems and postulates about congruent triangles, solving problems. ([CN, PS, R, V]) | |
| FM20.5 | 20 | Demonstrate understanding of the cosine law and sine law (including the ambiguous case). ([CN, PS, R]) | |
| FM20.6 | 20 | Demonstrate an understanding of normal distribution, including standard deviation and z-scores. ([CN, PS, T, V]) | |
| FM20.7 | 20 | Demonstrate understanding of the interpretation of statistical data, including: confidence intervals, confidence levels, margin of error. ([C, CN, R]) | |
| FM20.8 | 20 | Demonstrate understanding of systems of linear inequalities in two variables. ([CN, PS, T, V]) | |
| FM20.9 | 20 | Demonstrate an understanding of the characteristics of quadratic functions of the form y=a(x−p)2+q , including: vertex, intercepts, domain and range, axis of symmetry. ([CN, PS, T, V]) | |
| P20.1 | 20 | Demonstrate understanding of the absolute value of real numbers and equations and functions involving the absolute value of linear and quadratic functions. ([C, PS, R, T, V]) | |
| P20.2 | 20 | Expand and demonstrate understanding of radicals with numerical and variable radicands including: computations, solving equations (limited to square roots and one or two radicals). ([C, CN, ME, PS, R, T]) | |
| P20.3 | 20 | Expand and demonstrate understanding of rational expressions and equations (up to and including degree 2 numerators and denominators) including: equivalent forms of expressions, operations on expressions, solving equations that can be simplified to linear or quadratic equations. ([C, CN, ME, R]) | |
| P20.4 | 20 | Expand and demonstrate understanding of the primary trigonometric ratios including the use of reference angles (0° ≤ θ ≤ 360°) and the determination of exact values for trigonometric ratios. ([C, ME, PS, R, T, V]) | |
| P20.5 | 20 | Demonstrate understanding of the cosine law and sine law, including the ambiguous case. ([C, CN, PS, R, T]) | |
| P20.6 | 20 | Expand and demonstrate understanding of factoring polynomial expressions including those of the form: a2x2−b2y2,a≠0,b≠0, a(f(x))2−b(f(x))+c,a≠0, a2(f(x))2−b2(g(y))2,a≠0,b≠0, where a, b, and c are rational numbers. ([CN, ME, R]) | |
| P20.7 | 20 | Demonstrate understanding of quadratic functions of the form y=ax2+bx+c and of their graphs, including: vertex, domain and range, direction of opening, axis of symmetry, x- and y-intercepts. ([CN, ME, PS, R, T, V]) | |
| P20.8 | 20 | Demonstrate understanding of quadratic equations including the solution of: single variable equations, systems of linear-quadratic and quadratic-quadratic equations in two variables. ([C, CN, PS, R, T, V]) | |
| P20.9 | 20 | Expand and demonstrate understanding of inequalities including: one-variable quadratic inequalities, two-variable linear and quadratic inequalities. ([C, CN, PS, T, V]) | |
| P20.10 | 20 | Demonstrate understanding of arithmetic and geometric (finite and infinite) sequences and series. ([CN , PS, R, T]) | |
| P20.11 | 20 | Demonstrate understanding of reciprocal functions of: linear functions, quadratic functions. ([CN, R, T, V]) | |
| WA20.1 | 20 | Expand and apply understanding of the preservation of equality including solving problems that involve the manipulation and application of formulae for volume and capacity, surface area, slope and rate of change, simple interest, and finance charges. (C,CN,ME,PS,R,T) | |
| WA20.2 | 20 | Demonstrate the ability to analyze puzzles and games that involve numerical reasoning and problem solving strategies. (C,CN,PS,R) | |
| WA20.3 | 20 | Extend and apply understanding of surface area, volume, and capacity using concrete and pictorial models and symbolic representations (SI or imperial units of measurement). (C,CN,ME,PS,V) | |
| WA20.4 | 20 | Solve problems that involve at least two right triangles. (CN,PS,T,V) | |
| WA20.5 | 20 | Extend and apply understanding of 3-D objects including: top, bottom, and side views, exploded views, component parts, scale diagrams. (CN, R, T, V) | |
| WA20.6 | 20 | Demonstrate understanding of personal budgets and their importance for financial planning. (CN,PS,R,T,V) | |
| WA20.7 | 20 | Demonstrate understanding of compound interest. (CN, ME, PS, T) | |
| WA20.8 | 20 | Demonstrate understanding of financial institution services used to access and manage personal finances, including credit options. (C,ME,CN,PS,R,T) | |
| WA20.9 | 20 | Demonstrate concretely, pictorially, and symbolically (with and without the use of technology) an understanding of slope with respect to: rise over run, rate of change, solving problems. (C, CN, PS, V) | |
| WA20.10 | 20 | Extend and apply proportional thinking to solve problems that involve unit analysis and scale. (C,CN,PS,R,T,V) | |
| WA20.11 | 20 | Extend and apply understanding of representing data using graphs including: bar graphs, histograms, line graphs, circle graphs. (C, CN, PS, R, T, V) | |
| C30.1 | 30 | Extend understanding of functions including: algebraic functions (polynomial, rational, power), transcendental functions (exponential, logarithmic, trigonometric), piecewise functions, including absolute value. ([C, CN, ME, R, T, V]) | |
| C30.2 | 30 | Extend understanding of factoring, absolute value, and solving inequalities to include: rational expressions, double inequalities, absolute value inequalities. ([C, CN, ME, R]) | |
| C30.3 | 30 | Demonstrate understanding of limits and continuity. ([C, CN, ME, PS, R, T, V]) | |
| C30.4 | 30 | Demonstrate understanding of differentiation based on slope as a rate of change. ([C, CN, PS, R, V]) | |
| C30.5 | 30 | Extend understanding of curve sketching by applying differentiation and limits. ([C, CN, V]) | |
| C30.6 | 30 | Demonstrate understanding of the application of derivatives to solve problems including: optimization, rates of change, related rates. ([C, CN, ME, PS, V]) | |
| C30.7 | 30 | Demonstrate understanding of transcendental function derivatives and their applications. ([C, CN, R, T, V]) | |
| C30.8 | 30 | Demonstrate understanding of indefinite and definite integration: by sight, by substitution, as used in the Fundamental Theorem of Calculus.([C, CN, ME, PS, T, V]) | |
| FM30.1 | 30 | Demonstrate understanding of financial decision making including analysis of: renting, leasing, and buying, credit, compound interest, investment portfolios. ([C, CN, ME, PS, R, T]) | |
| FM30.2 | 30 | Demonstrate understanding of inductive and deductive reasoning including: analysis of conditional statements, analysis of puzzles and games involving numerical and logical reasoning, making and justifying decisions, solving problems. ([C, CN, ME, PS, R]) | |
| FM30.3 | 30 | Demonstrate understanding of set theory and its applications. ([CN, PS, R, V]) | |
| FM30.4 | 30 | Extend understanding of odds and probability. ([C, CN, ME]) | |
| FM30.5 | 30 | Extend understanding of the probability of two events, including events that are: mutually exclusive, non-mutually exclusive, dependent, independent. ([CN, PS, R, V]) | |
| FM30.6 | 30 | Demonstrate understanding of combinatorics including: the fundamental counting principle, permutations (excluding circular permutations), combinations. ([ME, PS, R, T, V]) | |
| FM30.7 | 30 | Demonstrate understanding of the representation and analysis of data using: polynomial functions of degree ≤ 3, logarithmic functions, exponential functions, sinusoidal functions. ([C, CN, PS, T, V]) | |
| FM30.8 | 30 | Research and give a presentation of a current event or an area of interest that requires data collection and analysis. ([C, CN, ME, PS, R, T, V]) | |
| P30.1 | 30 | Extend understanding of angles to angles in standard position, expressed in degrees and radians. | |
| P30.2 | 30 | Demonstrate understanding of the unit circle and its relationship to the six trigonometric ratios for any angle in standard position. | |
| P30.3 | 30 | Demonstrate understanding of the graphs of the primary trigonometric functions. | |
| P30.4 | 30 | Demonstrate understanding of first- and second-degree trigonometric equations. | |
| P30.5 | 30 | Demonstrate understanding of trigonometric identities including: reciprocal identities, quotient identities, Pythagorean identities, sum or difference identities (restricted to sine, cosine, and tangent), double-angle identities (restricted to sine, cosine, and tangent) | |
| P30.6 | 30 | Demonstrate an understanding of operations on, and compositions of, functions. | |
| P30.7 | 30 | Extend understanding of transformations to include functions (given in equation or graph form) in general, including horizontal and vertical translations, and horizontal and vertical stretches. | |
| P30.8 | 30 | Demonstrate understanding of functions, relations, inverses and their related equations resulting from reflections through the: x-axis, y-axis, line y=x. | |
| P30.9 | 30 | Demonstrate an understanding of logarithms including: evaluating logarithms, relating logarithms to exponents, deriving laws of logarithms, solving equations, graphing. | |
| P30.10 | 30 | Demonstrate understanding of polynomials and polynomial functions of degree greater than 2 (limited to polynomials of degree ≤5 with integral coefficients). | |
| P30.11 | 30 | Demonstrate understanding of radical and rational functions with restrictions on the domain. | |
| P30.12 | 30 | Demonstrate understanding of permutations, including the fundamental counting principle. | |
| P30.13 | 30 | Demonstrate understanding of combinations of elements, including the application to the binomial theorem. | |
| WA30.1 | 30 | Analyze puzzles and games that involve logical reasoning using problem-solving strategies. ([C, CN, PS, R]) | |
| WA30.2 | 30 | Demonstrate concretely, pictorially, and symbolically an understanding of limitations of measuring instruments including: precision, accuracy, uncertainty, tolerance. ([C, PS, R, T, V]) | |
| WA30.3 | 30 | Solve problems that involve the sine law and cosine law, excluding the ambiguous case. ([CN, PS, V]) | |
| WA30.4 | 30 | Extend and apply understanding of the properties of triangles, quadrilaterals, and regular polygons to solve problems. ([C, CN, PS, V]) | |
| WA30.5 | 30 | Extend and apply understanding of transformations on 2-D shapes and 3-D objects including: ,translations, rotations, reflections, dilations. ([C, CN, R, T, V]) | |
| WA30.6 | 30 | Demonstrate understanding of options for acquiring a vehicle including: purchasing without credit, purchasing with credit, leasing, leasing to purchase. ([C, CN, PS, R, T]) | |
| WA30.7 | 30 | Explore and critique the viability of small business options with respect to: expenses, sales, profit or loss. ([C, CN, R]) | |
| WA30.8 | 30 | Extend and apply understanding of linear relations including: patterns and trends, graphs, tables of values, equations, interpolation and extrapolation, problem solving. ([CN, PS, R, T, V]) | |
| WA30.9 | 30 | Extend and apply understanding of measures of central tendency to solve problems including: mean, median, mode, weighted mean, trimmed mean. ([C, CN, PS, R]) | |
| WA30.10 | 30 | Demonstrate understanding of percentiles. ([C, CN, PS, R]) | |
| WA30.11 | 30 | Extend and apply understanding of probability. ([C, CN, PS, R]) |
