Gizmos for Alberta - Mathematics: 6th Grade (Mathematics Curriculum adopted 2022)

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

6.1: : Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating.

6.1.1: : Students investigate magnitude with positive and negative numbers.

6.1.1.1: : Identify negative numbers in familiar contexts, including contexts that use vertical or horizontal models of the number line.

6.1.1.2: : Express positive and negative numbers symbolically, in context.

6.1.1.3: : Relate magnitude to the distance from zero on the number line.

6.1.1.4: : Relate positive and negative numbers, including additive inverses, to their positions on horizontal and vertical models of the number line.

6.1.1.5: : Compare and order positive and negative numbers.

6.1.1.6: : Express the relationship between two numbers, including positive and negative numbers, using

6.1.1.7: : Investigate addition of an integer and its additive inverse.

6.1.1.8: : Express zero as the sum of integers in multiple ways.

6.1.1.9: : Model the sum of two positive integers.

6.1.1.10: : Model the sum of two negative integers.

6.1.1.11: : Model the sum of a positive and negative integer as the sum of zero and another integer.

6.1.1.12: : Add any two integers.

6.1.1.13: : Express a difference as a sum.

6.1.2: : Students solve problems using standard algorithms for addition and subtraction.

6.1.2.1: : Solve problems in various contexts using standard algorithms for addition and subtraction.

6.1.3: : Students analyze numbers using prime factorization and exponentiation.

6.1.3.1: : Compose a product in multiple ways, including with more than two factors.

6.1.3.2: : Express the prime factorization of a composite number.

6.1.3.3: : Determine common factors for two natural numbers, using prime factorization.

6.1.3.4: : Determine divisibility of a natural number from its prime factorization.

6.1.3.5: : Identify the base and exponent in a power.

6.1.3.6: : Express the product of identical factors as a power, including within a prime factorization.

6.1.3.7: : Describe the divisibility of numbers represented in various forms.

6.1.4: : Students apply standard algorithms to multiplication and division of decimal and natural numbers.

6.1.4.1: : Explain the standard algorithms for multiplication and division of decimal numbers.

6.1.4.3: : Assess the reasonableness of a product or quotient using estimation.

6.1.4.4: : Solve problems using multiplication and division, including problems involving money.

6.1.5: : Students relate fractions to quotients.

6.1.5.1: : Model an equal-sharing situation in more than one way.

6.1.6: : Students add and subtract fractions with denominators within 100.

6.1.6.1: : Recognize two fractions with related denominators.

6.1.6.2: : Determine the factor that relates one denominator to another.

6.1.6.3: : Express two fractions with common denominators.

6.1.6.4: : Add and subtract fractions.

6.1.6.5: : Solve problems involving addition and subtraction of fractions.

6.1.7: : Students interpret the multiplication of natural numbers by fractions.

6.1.7.2: : Multiply a natural number by a fraction.

6.1.7.3: : Relate multiplication by a unit fraction to division.

6.1.7.4: : Multiply a natural number by a unit fraction.

6.1.7.5: : Model a fraction of a natural number.

6.1.7.6: : Multiply a fraction by a natural number.

6.1.7.7: : Solve problems using multiplication of a fraction and a natural number.

6.1.8: : Students apply equivalence to the interpretation of ratios and rates.

6.1.8.2: : Determine an equivalent ratio using a proportion.

6.1.8.3: : Express a unit rate to represent a given rate, including unit price and speed.

6.1.8.4: : Relate percentage of a number to a proportion.

6.1.8.5: : Determine a percent of a number, limited to percentages within 100%.

6.1.8.6: : Solve problems involving ratios, rates, and proportions.

6.2: : Algebra: Equations express relationships between quantities.

6.2.1: : Students analyze expressions and solve algebraic equations.

6.2.1.1: : Evaluate numerical expressions involving operations in parentheses and powers according to the order of operations.

6.2.1.6: : Solve equations, limited to equations with one or two operations.

6.2.1.7: : Determine different strategies for solving equations.

6.2.1.8: : Verify the solution to an equation by evaluating expressions on each side of the equation.

6.2.1.9: : Solve problems using equations, limited to equations with one or two operations.

6.3: : Geometry: Shapes are defined and related by geometric attributes.

6.3.1: : Students analyze shapes through symmetry and congruence.

6.3.1.1: : Verify symmetry of two shapes by reflecting or rotating one shape onto another.

6.3.1.2: : Describe the symmetry between two shapes as reflection symmetry or rotation symmetry.

6.3.1.3: : Visualize and describe a combination of two transformations that relate symmetrical shapes.

6.3.1.6: : Demonstrate congruence between two shapes in any orientation by superimposing using hands-on materials or digital applications.

6.3.1.7: : Describe symmetrical shapes as congruent.

6.4: : Coordinate Geometry: Location and movement of objects in space can be communicated using a coordinate grid.

6.4.1: : Students explain location and movement in relation to position in the Cartesian plane.

6.4.1.1: : Relate the axes of the Cartesian plane to intersecting horizontal and vertical representations of the number line.

6.4.1.2: : Locate a point in the Cartesian plane given the coordinates of the point.

6.4.1.3: : Describe the location of a point in the Cartesian plane using coordinates.

6.4.1.5: : Describe the location of the vertices of a polygon in the Cartesian plane using coordinates.

6.4.1.6: : Create an image of a polygon in the Cartesian plane by translating the polygon.

6.4.1.7: : Describe the horizontal and vertical components of a given translation.

6.4.1.8: : Create an image of a polygon in the Cartesian plane by reflecting the polygon over the x-axis or y-axis.

6.4.1.10: : Create an image of a polygon in the Cartesian plane by rotating the polygon 90 degrees, 180 degrees, or 270 degrees about one of its vertices, clockwise or counter-clockwise.

6.4.1.11: : Describe the angle and direction of a given rotation.

6.4.1.12: : Relate the coordinates of a polygon and its image after translation, reflection, or rotation in the Cartesian plane.

6.5: : Measurement: Attributes such as length, area, volume, and angle are quantified by measurement.

6.5.1: : Students analyze areas of parallelograms and triangles.

6.5.1.1: : Rearrange the area of a parallelogram to form a rectangular area using hands-on materials or digital applications.

6.5.1.2: : Determine the area of a parallelogram using multiplication.

6.5.1.3: : Determine the base or height of a parallelogram using division.

6.5.1.4: : Model the area of a parallelogram as two congruent triangles.

6.5.1.5: : Describe the relationship between the area of a triangle and the area of a parallelogram with the same base and height.

6.5.1.6: : Determine the area of a triangle, including various triangles with the same base and height.

6.5.1.7: : Solve problems involving the areas of parallelograms and triangles.

6.5.1.8: : Visualize the decomposition of composite areas in various ways.

6.5.1.9: : Determine the area of composite shapes using the areas of triangles and parallelograms.

6.5.2: : Students interpret and express volume.

6.5.2.1: : Recognize volume in familiar contexts.

6.5.2.2: : Model volume of prisms by dragging or iterating an area using hands-on materials or digital applications.

6.5.2.3: : Create a model of a three-dimensional shape by stacking congruent non-standard units or cubic centimetres without gaps or overlaps.

6.5.2.4: : Express volume in non-standard units or cubic centimetres.

6.5.2.5: : Visualize and model the volume of various right rectangular prisms as three-dimensional arrays of cube-shaped units.

6.5.2.6: : Determine the volume of a right rectangular prism using multiplication.

6.5.2.7: : Solve problems involving volume of right rectangular prisms.

6.6: : Patterns: Awareness of patterns supports problem solving in various situations.

6.6.1: : Students investigate functions to enhance understanding of change.

6.6.1.2: : Describe the rule that determines the values of the dependent variable from values of the independent variable.

6.6.1.3: : Represent corresponding values of the independent and dependent variables of a function in a table of values and as points in the Cartesian plane.

6.6.1.4: : Write an algebraic expression that represents a function.

6.6.1.5: : Recognize various representations of the same function.

6.6.1.6: : Determine a value of the dependent variable of a function given the corresponding value of the independent variable.

6.6.1.7: : Investigate strategies for determining a value of the independent variable of a function given the corresponding value of the dependent variable.

6.6.1.8: : Solve problems involving a function.

6.7: : Statistics: The science of collecting, analyzing, visualizing, and interpreting data can inform understanding.

6.7.1: : Students investigate relative frequency using experimental data.

6.7.1.1: : Interpret frequency of categorized data as relative frequency.

6.7.1.2: : Express relative frequencies as decimals, fractions, or percentages.

6.7.1.3: : Identify the possible outcomes of an experiment involving equally likely outcomes.

6.7.1.4: : Collect categorized data through experiments.

6.7.1.5: : Predict the likelihood of an event based on the possible outcomes of an experiment.

6.7.1.6: : Determine relative frequency for categories of a sample of data.

6.7.1.7: : Describe the likelihood of an outcome in an experiment using relative frequency.

6.7.1.8: : Analyze relative frequency statistics from experiments with different sample sizes.

Correlation last revised: 6/14/2022

Alberta - Mathematics: 6th Grade

Mathematics Curriculum | Adopted: 2022