A1   model and use power, base, and exponent to represent repeated multiplication

A2   rename numbers among exponential, standard, and expanded forms

A3   rewrite large numbers from standard form to scientific notation and vice versa

A4   solve and create problems involving common factors and greatest common factors (GCF)

A5   solve and create problems involving common multiples and least common multiples LCM

A6   develop and apply divisibility rules for 3, 4, 6, and 9

A7   apply patterning in renaming numbers from fractions and mixed numbers to decimal numbers

A8   rename single-digit and double-digit repeating decimals to fractions through the use of patterns, and use these patterns to make predictions

A9   compare and order proper and improper fractions, mixed numbers, and decimal numbers

A10 illustrate, explain, and express ratios, fractions, decimals, and percents in alternative forms

A11 demonstrate number sense for percent

A12 represent integers (including zero) concretely, pictorially, and symbolically, using a variety of models

A13 compare and order integers

B1    use estimation strategies to assess and justify the reasonableness of calculation results for integers and decimal numbers

B2    use mental math strategies for calculations involving integers and decimal numbers

B3    demonstrate an understanding of the properties of operations with decimal numbers and integers

B4    determine and use the most appropriate computational method in problem situations involving whole numbers and/or decimals

B5    apply the order of operations for problems involving whole and decimal numbers

B6    estimate the sum or difference of fractions when appropriate

B7    multiply mentally a fraction by a whole number and vice versa

B8    estimate and determine percent when given the part and the whole

B9    estimate and determine the percent of a number

B10  create and solve problems that involve the use of percent

B11  add and subtract integers concretely, pictorially, and symbolically to solve problems

B12  multiply integers concretely, pictorially, and symbolically to solve problems

B13  divide integers concretely, pictorially, and symbolically to solve problems

B14  solve and pose problems which utilize addition, subtraction, multiplication, and division of integers

B15  apply the order of operations to integers

B16  create and evaluate simple variable expressions by recognizing that the four operations apply in the same way as they do for numerical expressions

B17  distinguish between like and unlike terms

B18  add and subtract like terms by recognizing the parallel with numerical situations, using concrete and pictorial models

C1    describe a pattern, using written and spoken language and tables and graphs

C2    summarize simple patterns, using constants, variables, algebraic expressions, and equations, and use them in making predictions

C3    explain the difference between algebraic expressions and algebraic equations

C4    solve one- and two-step single-variable linear equations, using systematic trial

C5    illustrate the solution for one- and two-step single¬variable linear equations, using concrete materials and diagrams

C6    graph linear equations, using a table of values

C7    interpolate and extrapolate number values from a given graph

C8    determine if an ordered pair is a solution to a linear equation

C9    construct and analyse graphs to show how change in one quantity affects a related quantity

D1    identify, use, and convert among the SI units to measure, estimate, and solve problems that relate to length, area, volume, mass, and capacity

D2    apply concepts and skills related to time in problem situations

D3    develop and use rate as a tool for solving indirect measurement problems in a variety of contexts

D4    construct and analyse graphs of rates to show how change in one quantity affects a related quantity

D5    demonstrate an understanding of the relationships among diameter, radii, and circumference of circles, and use the relationships to solve problems

E1    decide and justify which combinations of triangle classifications are possible, through construction using materials and/or technology

E2 determine and use relationships between angle measures and side lengths in triangles

E3    construct angle bisectors and perpendicular bisectors, using a variety of methods

E4    apply angle pair relationships to find missing angle measures

E5    identify, construct, classify, and use angle pair relationships pertaining to parallel lines and non-parallel lines and their transversals

E6    apply angle relationships to find angle measures

E7    explain, using a model, why the sum of the measures of the angles of a triangle is 180°

E8    sketch and build 3-D objects, using a variety of materials and information about the objects

E9    draw, describe, and apply translations, reflections, and rotations, and their combinations, and identify and use the properties associated with these transformations

E10  create and describe designs using translation, rotation, and reflection

F1    communicate through example the distinction between biased and unbiased sampling, and first-and second-hand data

F2    formulate questions for investigation from relevant contexts

F3    select, defend, and use appropriate data collection methods and evaluate issues to be considered when collecting data

F4    construct a histogram

F5    construct appropriate data displays, grouping data where appropriate and taking into consideration the nature of data

F6    read and make inferences for grouped and ungrouped data displays

F7    formulate statistics projects to explore current issues

from within mathematics, other subject areas, or the world of students

F8    determine measures of central tendency and how they are affected by data presentations and fluctuations

F9    draw inferences and make predictions based on the variability of data sets, using range and the examination of outliers, gaps, and clusters

G1 identify situations for which the probability would be near 0,1/4,1/2,3/4,and1

G2 solve probability problems, using simulations and by conducting experiments

G3 identify all possible outcomes of two independent events, using tree diagrams and area models

G4 create and solve problems, using the numerical definition of probability

G5 compare experimental results with theoretical results

G6 use fractions, decimals, and percents as numerical expressions to describe probability