Progression of Learning

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.2.5: 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)

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.3.5: 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.4.1: 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.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

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

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 *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*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.