Pearson · Web viewNumbers to 1 000 000 can be arranged and recognized: — comparing and ordering...

Grade 5 Planning Tool: Readiness Tasks, Next Steps & Yukon Curriculum

Grade 5NUMBER

BIG IDEA

Number: Number represents and describes quantity.

Mathology Readiness Task On-Grade Lessons:Math Makes Sense 5

(WNCP)

Prior Grade Lessons:Math Makes Sense 4

(WNCP)

Grade 5 CurriculumContent - Elaborations

Task Key Concepts

Number Relationships

Representingand describingnumbers to100 000.

Understandingplace value to100 000.

Comparing andOrdering numbers to100 000.

Using estimationto solve problems.

Unit 21: Numbers to 100 000 Game: Aim for 100 000 2: Exploring One Million3: Representing Numbers

Unit 21: Whole Numbers to 10 0002: Comparing and Ordering Numbers8: Estimating Differences

number concepts to 1 000 000: counting:

o multipleso flexible counting strategieso whole number benchmarks

Numbers to 1 000 000 can be arranged and recognized: — comparing and ordering numbers— estimating large quantities

place value:— 100 000s, 10 000s, 1000s, 100s, 10s, and 1s— understanding the relationship between digit places and their value, to 1 000 000

First Peoples use unique counting systems (e.g., Tsimshian use of three counting systems, for animals, people and things; Tlingit counting for the naming of numbers e.g., 10 = two hands, 20

1Mathology 5 Planning Tool – Yukon

= one person)

Grade 5NUMBER

BIG IDEA

Computational Fluency: Computational fluency develops from a strong sense of number.

Mathology Readiness Task On-Grade Lessons:Math Makes Sense 5 (WNCP)

Prior Grade Lessons:Math Makes Sense 4 (WNCP)


Task Key Concepts

Whole Number Operations (Addition and Subtraction)

Using personalstrategies to add greater numbers.

Using personalstrategies to subtract greaternumbers.

Estimating sums and differences.

Unit 24: Estimating Sums5: Using Benchmarks to Estimate6: Estimating Differences7: Using Estimation to Check Answers8: Strategies ToolkitUnit Problem

Unit 24: Estimating Sums6: Adding 3-Digit Numbers7: Adding 4-Digit Numbers8: Estimating Differences10: Subtracting 3-Digit Numbers12: Subtracting 4-Digit Numbers

addition and subtraction facts to 20 (extending computational fluency): Provide opportunities for

authentic practice, building on previous grade-level addition and subtraction facts.

applying strategies and knowledge of addition and subtract facts in real-life contexts and problem-based situations, as well as when making math-to-math connections (e.g., for 800 + 700, you can annex the zeros and use the knowledge of 8 + 7 to find the total)

addition and subtraction of whole numbers to 1 000 000:

using flexible computation


strategies involving taking apart (e.g., decomposing using friendly numbers and compensating) and combining numbers in a variety of ways, regrouping

estimating sums and differences to 10 000

using addition and subtraction in real-life contexts and problem-based situations

whole-class number talks


Grade 5ALGEBRA

BIG IDEA

Patterning: We use patterns to represent identified regularities and to make generalizations.


(WNCP)


(WNCP)


Task Key Concepts

Patterning and Algebra (Algebra)

Solving one-stepequationsinvolving addition,subtraction,multiplication,or division.

Writing and solvea one-stepequation.

Unit 15: Using a Variable to Write an Equation6: Solving Equations Involving Addition and Subtraction7: Solving Equations Involving Multiplication and DivisionGame: Match it!Unit Problem

Unit 14: Equations Involving Addition and Subtraction5: Equations Involving Multiplication and Division

one-step equations with variables:

solving one-step equations with a variable

expressing a given problem as an equation, using symbols (e.g., 4 + X = 15)


Grade 5NUMBER

BIG IDEA



(WNCP)


(WNCP)


Task Key Concepts

Whole Number Operations (Multiplication and Division)

Using mental math strategies to recallMultiplication facts to 9 × 9.

Multiplying two 2-digit numbers.

Dividing a 3-digit number by a 1-digit number, with a remainder.

Unit 33: Multiplying with Multiples of 104: Estimating Products to Solve Problems5: Using Mental Math to Multiply 6: Multiplying 2-Digit NumbersGame: Multiplication Tic Tac Toe7: Estimating Quotients to Solve Problems8: Dividing a 3-Digit Number by a 1-Digit Number9: Other Strategies for Dividing Whole NumbersGame: Target No Remainder!10: Solving Problems

Unit 33: Using Skip-Counting to Multiply

Unit 86: Using Patterns to Multiply7: Multiplying a 3-Digit Number by a 1-Digit Number10: Using Base Ten Blocks to Divide

multiplication and division facts to 100 (emerging computational fluency):

Provide opportunities for concrete and pictorial representations of multiplication.

Use games to provide opportunities for authentic practice of multiplication computations.

looking for patterns in numbers, such as in a hundred chart, to further develop understanding of multiplication computation

Connect multiplication to skip-counting. Connect multiplication to division and

repeated addition. Memorization of facts is not intended this

level. Students will become more fluent with these

facts. using mental math strategies such as

doubling and halving, annexing, and distributive property

Students should be able to recall many multiplication facts by the end of Grade 5 (e.g., 2s, 3s, 4s, 5s, 10s).


11: Strategies ToolkitUnit Problem

Unit 59: Relating Fractions and Decimals to Division

developing computational fluency with facts to 100

multiplication and division to three digits, including division with remainders:

understanding the relationships between multiplication and division, multiplication and addition, and division and subtraction

using flexible computation strategies (e.g., decomposing, distributive principle, commutative principle, repeated addition, repeated subtraction)

using multiplication and division in real-life contexts and problem-based situations



Grade 5 SPATIAL SENSE

BIG IDEA

Geometry and Measurement: We can describe, measure, and compare spatial relationships.



Grade 5 CurriculumContent - ElaborationsTask Key Concepts

Measurement (Length, Perimeter and Area)

Measuring theperimeter ofregular andirregularpolygons.

Solvingproblemsinvolvingperimeter andarea.

Unit 41: Measuring Length2: Strategies Toolkit3: Exploring Rectangles with Equal PerimetersGame: Who Can Fill the Page?4: Exploring Rectangles with Equal Areas

Unit 49: Measuring Area in Square Centimetres11: Finding Area in Square Metres

relationships between area and perimeter:

measuring area of squares and rectangles, using tiles, geoboards, grid paper

investigating perimeter and area and how they are related to but not dependent on each other

use traditional dwellings Invite a local Elder or

knowledge keeper to talk about traditional measuring and estimating techniques for hunting, fishing, and building.

Grade 5 BIG IDEA


SPATIAL SENSE


Mathology Readiness Tasks On-Grade Lessons:Math Makes Sense 5

(WNCP)


(WNCP)

Grade 5 CurriculumContent - ElaborationsTask Key Concepts

Measurement (Time & Temperature)

Applyingconcepts oftime in real-lifecontexts.

Solvingproblems withtime.

Understandingdaily andseasonalcycles.

Understandingelapsed timeand duration.

Time and Temperature are not addressed.

Unit 43: Telling Time4: Elapsed Time 6: The 24-Hour Clock

duration, using measurement of time:

understanding elapsed time and duration

applying concepts of time in real-life contexts and problem-based situations

daily and seasonal cycles, moon cycles, tides, journeys, events

Grade 5 BIG IDEA


NUMBER Number: Number represents and describes quantity.




Task Key Concepts

Fractions and Decimals

Comparingfractions withlike and unlikedenominators.

Relatingfractions todecimals anddecimals tofractions.

Representingdecimals(tenths,hundredths).

Comparing andorderingdecimals tothousandths.

Unit 51: Equivalent Fractions2: Comparing and Ordering Fractions3: Strategies Toolkit4: Relating Fractions to Decimals5: Fraction and Decimal Benchmarks 6: Exploring Thousandths7: Comparing and Ordering Decimals9: Relating Fractions and Decimals to Division

Unit 53: Exploring Fractions of a Set8: Comparing and Ordering Unit Fractions with the Same Numerator or Denominator9: Exploring Tenths10: Exploring Hundredths11: Equivalent Decimals

Whole number, fraction and decimal benchmarks:

Two equivalent fractions are two ways to represent the same amount (having the same whole).

comparing and ordering of fractions and decimals

addition and subtraction of decimals to thousandths

estimating decimal sums and differences

estimating fractions with benchmarks (e.g., zero, half, whole)

equal partitioning

Grade 5 BIG IDEA


NUMBER



(WNCP)


(WNCP)


Task Key Concepts

Decimal and Fraction Operations

Addingdecimals tohundredths

Subtractingdecimals tohundredths

Unit 510: Estimating Sums and Differences11: Adding DecimalsGame: Make 2!12: Subtracting Decimals13: Adding and Subtracting DecimalsUnit Problem

Unit 511: Equivalent Decimals12: Adding Decimals to Tenths13: Subtracting Decimals to Tenths14: Adding and Subtracting Decimals to Hundredths

addition and subtraction of decimals to thousandths:

understanding the relationships between multiplication and division, multiplication and addition, division and subtraction

using flexible computation strategies (e.g., decomposing, distributive principle, commutative principle, repeated addition and repeated subtraction)

using multiplication and division in real-life contexts and problem-based situations

whole-class number talks estimating decimal sums and differences using visual models such as base 10

blocks, place-value mats, grid paper, and number lines

using addition and subtraction in real-life contexts and problem-based situations



Grade 5FINANCIAL LITERACY

BIG IDEA

Number: Number represents and describes quantity.




Task Key Concepts

Financial Literacy

Adding andsubtractingdecimals tothousandths.

Estimatingsums ofdecimals.

Solvingproblemsinvolvingdecimals.

Unit 510: Estimating Sums and Differences11: Adding DecimalsGame: Make 2!12: Subtracting Decimals13: Adding and Subtracting DecimalsUnit Problem

Unit 514: Adding and Subtracting Decimals

financial literacy:

making monetary calculations, including making change and decimal notation to $1000 in real-life contexts and problem-based situations

applying a variety of strategies, such as counting up, counting back, and decomposing, to calculate totals and make change

making simple financial plans to meet a financial goal

developing a budget that takes into account income and expenses


Grade 5SPATIAL SENSE

BIG IDEA




(WNCP)


Task Key Concepts

Geometry (2D Shapes and 3D Solids)

Usinggeometricproperties todescribe theedges andfaces of 3-Dsolids.

Identifyingand sortingquadrilaterals.

Unit 61: Describing Shapes2: Investigating Perpendicular Sides3: Investigating Quadrilaterals4: Other Attributes of Quadrilaterals5: Strategies Toolkit6: Exploring Faces and Edges of ObjectsGame: Face-Off!7: Drawing ObjectsUnit Problem

Unit 61: Objects in Our World3: Exploring Nets

classification of prisms and pyramids:

investigating 3D objects and 2D shapes, based on multiple attributes

describing and sorting quadrilaterals

describing and constructing rectangular and triangular prisms

identifying prisms in the environment


Grade 5DATA

BIG IDEA

Data and Probability: Analyzing data and chance enables us to compare and interpret.


(WNCP)


(WNCP)


Task Key Concepts

Data Management

Differentiatingbetween first-hand andsecond-handdata.

Constructingdouble-bargraphs.

Interpretingdouble-bargraphs.

Unit 71: First-Hand Data and Second-Hand Data2: Interpreting Double Bar Graphs3: Constructing Double Bar GraphsTechnology: Using Census at School to Find Second-Hand DataUnit Problem

Unit 71: Reading Pictographs and Bar Graphs3: Drawing Bar Graphs

one-to-one and many-to-one correspondence, using double bar graphs:

many-to-one correspondence: one symbol represents a group or value (e.g., on a bar graph, one square may represent five cookies)


Grade 5DATA

BIG IDEA

Data and Probability: Analyzing data and chance enables us to compare and interpret.




Task Key Concepts

Data Management (Probability)

Using fractions todescribe theprobability ofevents.

Representingprobabilities on aprobability line.

Using probability tomake predictionsand informeddecisions.

Determining andcomparing thetheoretical andexperimentalprobabilities of anevent.

Unit 74: The Language of Probability5: Using Spinners to Compare Likelihoods6: Conducting ExperimentsGameUnit Problem

N/A probability experiments, single events or outcomes:

predicting outcomes of independent events (e.g., when you spin using a spinner and it lands on a single colour)

predicting single outcomes (e.g., when you spin using a spinner and it lands on a single colour)

using spinners, rolling dice, pulling objects out of a bag

representing single outcome probabilities using fractions


Grade 5SPATIAL SENSE

BIG IDEA





Task Key Concepts

Geometry (Transformations)

Identifying atransformation(translation,rotation,reflection) of a2-D shape.

Performing atransformation(translation,rotation,reflection) ofa 2-D shapeand drawingthe image.

Unit 81: Translations3: Reflections4: Rotations5: Exploring Different Points of RotationTechnology

Unit 66: Line Symmetry

single transformations:

single transformations (slide/translation, flip/reflection, turn/rotation)

using concrete materials with a focus on the motion of transformations

weaving, cedar baskets, designs


Pearson · Web viewNumbers to 1 000 000 can be arranged and recognized: — comparing and ordering...

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