Grade 5 Mathematics Outcomes

G.O. – Construct, extend, and summarise patterns, including those found in nature, using rules, charts, mental mathematics and calculators

G.O. – Develop and implement a plan for the collection, display, and interpretation of data to answer a question

G.O. – Uses measurement concepts, appropriate tools, and the results of measurements to solve problems in everyday contexts

G.O. – Demonstrates a number sense for whole numbers 0 to 100 000, and explores proper fractions and decimals

Constructs and extends patterns in 2 and 3 dimensions (concretely and pictorially).

(PR-I.1.5)

Identifies and develops a question to generate appropriate data, and predicts results.

(SP-I.1.5)

Evaluates the appropriateness of units and measuring tools in practical contexts.

Estimates and measures the perimeter of irregular shapes.

Recognises and explains the meaning of length, width, height, depth, thickness, perimeter and circumference.

(SS-I.1.5)

Uses estimation strategies for determining quantities up to 100 000

(N-I.1.5)

Describes how a pattern grows, using everyday language in spoken and written form.

(PR-I.2.5)

Distinguishes between a total population and a sample of that population.

(SP-I.2.5)

Reads and writes numerals and number words to 100 000

Read and writes numerals and number words to hundredths

(N-I.2.5)

Develops charts to record and reveal patterns, and predicts and justifies pattern extensions.

(PR-I.3.5)

Uses a variety of methods to collect and record data.

(SP-II.1.5)

Estimates and measures the area of irregular shapes by dividing them into parts.

(SS-II.1.5)

Demonstrates concretely, pictorially, and symbolically an understanding of place value from hundredths

Compares and orders whole numbers

Rounds numbers to the nearest 10 000

(N-I.3.5)

Generates and extends number patterns from a problem-solving context.

(PR-I.4.5)

Discusses the reasonableness of data and results.

(SP-II.2.5)

Estimates and determines the surface area of a right rectangular prism without using a formula.

(SS-II.1.6)

Creates classifications and ranges for grouping data.

(SP-III.1.5)

Relates perimeter and area of rectangles, using manipulatives and diagrams.

Estimates and measures the effect of changing one or more dimensions of a rectangle on its perimeter or area.

(SS-II.3.5)

Recognises, models, and describes multiples, factors, composites, and primes, using numbers 1-50

(N-I.4.50

Displays data by hand or by computer in a variety of ways, including

• ordered list of data

• frequency diagrams/tables
• line plots
• broken-line graphs

(SP-III.2.5)

Estimates, measures, records, and orders containers by volume, using cm³.

(SS-III.1.5)

Represents and describes proper fractions, and decimals to hundredths, concretely, pictorially, and symbolically

(N-II.1.5)

Constructs objects of a specific volume expressed in cm³.

(SS-III.2.5)

Represents and describes equivalent fractions

Connects proper fractions to decimals, concretely, pictorially, and symbolically

(N-II.2.5)

Evaluates the graphic presentation of the data to ensure clear representation of the results (e.g., title, legend, axis labels).

(SP-IV.1.5)

Relates cm³ to mL, using concrete materials.

(SS-III.3.5)

Compares and orders proper fractions, and decimals to hundredths

(N-II.3.5)

Makes inferences to generate a conclusion about the data.

(SP-IV.2.5)

Solves problems involving mass (weight) using g, kg, and t.

(SS-IV.1.5)

G.O. – Applies arithmetic operations on whole numbers and decimals, and illustrates their use in creating and solving problems

G.O. – Predicts outcomes, conducts experiments, and communicates the probability of single events

Reads and writes time on an analogue clock to the nearest minute.

Reads and writes time on a 24-hour clock.

Reads and writes SI notation for recording date and time.

(SS-VI.1.5)

Uses estimation, mental calculation, and computation in problem-solving contexts, to add and subtract whole numbers and decimals to hundredths, using manipulatives, diagrams, and symbols

(N-V.1.5)

Describes events, using the vocabulary of probability:

best/worst chance; probable/improbable; always/more likely/equally likely/less likely/never.

(SP-V.1.5)

G.O. – Uses visualisation of 3-D objects and 2-D shapes to solve problems related to spatial relation

Uses (and masters) basic facts, estimation, mental calculation, computation, and verification for whole number products (3 digit by 2 digit) and quotients (3 digit by 1 digit)

Uses manipulatives, diagrams, and symbols to multiply and divide decimals to hundredths in problem-solving contexts, using single-digit, whole number multipliers, and divisors

(N-V.2.5)

Builds, represents, and describes geometric objects and shapes.

(SS-VII.1.5)

Conducts probability experiments, explains results using the language of probability, and demonstrates that results are not influenced by such factors as age, experience, or skill of participants.

(SP-V.2.5)

Completes the drawing of a 3-D object, on grid paper, given the front face.

Determines, experimentally, the relationship among vertices, faces, and edges for 3-D solids with plane faces.

(SS-VII.2.5)

Solves problems involving multiple steps and multiple operations, and accepts that other methods may be equally valid

(N-V.5.5)

Lists all possible outcomes of an experiment involving a single event.

(SP-V.3.5)

Builds, represents and describes geometric shapes.

Covers a given 2-D shape with tangram pieces.

(SS-VIII.1.5)

Identifies and names polygons according to the number of sides, angles, and vertices.

Determines, experimentally, the minimum information needed to draw a given 2-D shape

(SS-VIII.2.5)

Constructs, analyses, and classifies triangles according to the measures of the sides.

(SS-IX.2.5)

G.O. - Uses co-ordinates to describe the positions of objects in two dimensions; and describes motion in terms of a slide, a flip, or a turn

Plots whole number-ordered pairs in the first quadrant with intervals of 1, 2, 5 or 10.

Identifies a point in the first quadrant, using ordered pairs.

(SS-X.1.5)

Recognises motion as a slide (translation), turn (rotation), or flip (reflection).

Creates tessellations using regular polygons.

Covers a surface using one or more tessellating shapes.

(SS-X.2.5)

Identifies planes of symmetry by cutting 3-D solids.

Recognises tessellations created with regular and irregular shapes in the environment.

(SS-X.3.5)