AR: Arithmetic

AR.1: Understanding real numbers

AR.1.2: Fractions

AR.1.2.b: Identifies the different meanings of fractions: part of a whole, division, ratio, operator, measurement

 Beam to Moon (Ratios and Proportions)
 Dividing Fractions
 Dividing Mixed Numbers
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Solving Algebraic Equations II

AR.1.2.c: Verifies whether two fractions are equivalent

 Adding Fractions (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers

AR.1.2.e: Orders fractions with the same denominator or where one denominator is a multiple of the other or with the same numerator

 Adding Fractions (Fraction Tiles)
 Rational Numbers, Opposites, and Absolute Values

AR.1.3: Decimals up to thousandths

AR.1.3.a: Represents decimals in a variety of ways (using objects or drawings) and identifies equivalent representations

 Comparing and Ordering Decimals
 Multiplying with Decimals
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

AR.1.3.b: Reads and writes numbers written in decimal notation

 Comparing and Ordering Decimals

AR.1.3.d: Composes and decomposes a number written in decimal notation and recognizes equivalent expressions

 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

AR.1.3.e: Compares numbers written in decimal notation or arranges them in increasing or decreasing order

 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values

AR.1.4: Integers

AR.1.4.a: Represents integers in a variety of ways (using objects or drawings)

 Adding and Subtracting Integers

AR.1.4.c: Compares integers or arranges integers in increasing or decreasing order

 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

AR.1.5: Expresses numbers in a variety of ways (fractional, decimal percentage notation)

 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

AR.1.6: Represents, reads and writes numbers written in fractional or decimal notation

 Comparing and Ordering Decimals

AR.1.7: Approximates, in various contexts, the numbers under study (e.g. estimates, rounds off, truncates)

 Estimating Sums and Differences
 Multiplying with Decimals
 Proportions and Common Multipliers
 Sums and Differences with Decimals

AR.1.10: Defines the concept absolute value in context (e.g. difference between two numbers, distance between two points)

 Absolute Value with Linear Functions

AR.1.11: Represents and writes

AR.1.11.b: squares and square roots

 Simplifying Radical Expressions
 Square Roots

AR.1.15: Compares and arranges in order

AR.1.15.a: numbers written in fractional or decimal notation

 Adding Fractions (Fraction Tiles)
 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values

AR.1.15.b: numbers expressed in different ways (fractional, decimal, exponential [integral exponent], percentage, square root, scientific notation)

 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values
 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

AR.2: Understanding operations involving real numbers

AR.2.5: Looks for equivalent expressions: decomposing (additive, multiplicative, etc.), equivalent fractions, simplifying and reducing, factoring, etc.

 Fractions with Unlike Denominators
 Part-to-part and Part-to-whole Ratios

AR.2.6: Translates (mathematizes) a situation using a sequence of operations (no more than two levels of parentheses)

 Order of Operations

AR.2.7: Anticipates the results of operations

 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

AR.2.8: Interprets the results of operations in light of the context

 Adding on the Number Line
 Dividing Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

AR.3: Operations involving real numbers

AR.3.5: Approximates the result of an operation or sequence of operations

 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

AR.3.6: Mentally computes the four operations, especially with numbers written in decimal notation, using equivalent ways of writing numbers and the properties of operations

 Adding Fractions (Fraction Tiles)
 Adding on the Number Line
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Percents, Fractions, and Decimals
 Sums and Differences with Decimals

AR.3.7: Computes, in writing, the four operations with numbers that are easy to work with (including large numbers), using equivalent ways of writing numbers and the properties of operations

AR.3.7.b: positive numbers written in fractional notation, with or without the use of objects or diagrams

 Adding Fractions (Fraction Tiles)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers

AR.3.11: Switches, as needed, from one way of writing numbers to another

 Percents, Fractions, and Decimals

AR.4: Understanding and analyzing proportional situations

AR.4.1: Calculates

AR.4.1.a: a certain percentage of a number

 Percent of Change
 Percents and Proportions

AR.4.1.b: the value corresponding to 100 per cent

 Beam to Moon (Ratios and Proportions)
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals

AR.4.2: Recognizes ratios and rates

 Beam to Moon (Ratios and Proportions)
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

AR.4.3: Interprets ratios and rates

 Beam to Moon (Ratios and Proportions)
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

AR.4.4: Describes the effect of changing a term in a ratio or rate

 Beam to Moon (Ratios and Proportions)
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

AR.4.7: Recognizes a proportional situation using the context, a table of values or a graph

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers

AR.4.8: Represents or interprets a proportional situation using a graph, a table of values or a proportion

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

AL: Algebra

AL.1: Understanding and manipulating algebraic expressions

AL.1.A: Algebraic expressions

AL.1.A.1: Describes, using his/her own words and mathematical language, numerical patterns

 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Equations
 Using Algebraic Expressions

AL.1.A.2: Describes, using his/her own words and mathematical language, series of numbers and family of operations

 Arithmetic Sequences
 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Equations
 Using Algebraic Expressions
 Arithmetic Sequences

AL.1.A.4: Describes the role of components of algebraic expressions:

AL.1.A.4.a: unknown

 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations I
 Solving Equations on the Number Line
 Using Algebraic Equations

AL.1.A.4.b: variable, constant

 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations I
 Solving Equations on the Number Line
 Using Algebraic Equations

AL.1.A.4.c: parameter

 Compound Interest

AL.1.A.4.d: coefficient, degree, term, constant term, like terms

 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

AL.1.A.5: Constructs an algebraic expression using a register (type) of representation

 Compound Interest
 Simplifying Algebraic Expressions II
 Using Algebraic Equations

AL.1.A.6: Interprets an algebraic expression in light of the context

 Compound Interest

AL.1.A.7: Recognizes or constructs equivalent algebraic expressions

 Dividing Exponential Expressions
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Exponents and Power Rules
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c
 Multiplying Exponential Expressions
 Simplifying Algebraic Expressions I
 Correlation last revised: 4/4/2018

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.