pearson · web viewgrade 5 curriculum specific outcome task key concepts geometry (transformations)...

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

Grade 5

NUMBER

General Outcome

Develop number sense.

Mathology Readiness Task

On-Grade Lessons:

Math Makes Sense 5 (WNCP)

Prior Grade Lessons:


Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Number Relationships

Representing

and describing

numbers to

100 000.

Understanding

place value to

100 000.

Comparing and

Ordering numbers to

100 000.

Using estimation

to solve problems.

Unit 2

1: Numbers to 100 000

Game: Aim for 100 000

2: Exploring One Million

3: Representing Numbers

4: Estimating Sums

5: Using Benchmarks to Estimate

6: Estimating Differences

7: Using Estimation to Check Answers

8: Strategies Toolkit

Unit Problem

Unit 2

1: Whole Numbers to 10 000

2: Comparing and Ordering Numbers


N1. Represent and describe whole numbers to 1 000 000.

[C, CN, V, T]

N2. Use estimation strategies including:

· front-end rounding

· compensation

· compatible numbers

in problem-solving contexts.[C, CN, ME, PS, R, V]

Grade 5

PATTERNS AND RELATIONS

PATTERNS

General Outcome

Use patterns to describe the world and solve problems.


On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Patterning and Algebra (Patterns)

Investigating number patterns.

Identifying pattern rules to make predictions and

extend patterns.

Unit 1

1: Number Patterns and Pattern Rules

2: Using Patterns to Solve Problems

3: Using a Variable to Describe a Pattern

Game: Tic-Tac-Toe Challenge


Unit 1

2: Extending Number Patterns

PR1.Determine the pattern rule to make predictions about subsequent elements.[C, CN, PS, R, V]

Grade 5

PATTERNS AND RELATIONS

VARIABLES AND EQUATIONS

General Outcome

Represent algebraic expressions in multiple ways.


On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Patterning and Algebra (Algebra)

Solving one-step

equations

involving addition,

subtraction,

multiplication,

or division.

Writing and solve

a one-step

equation.

Unit 1

5: Using a Variable to Write an Equation

6: Solving Equations Involving Addition and Subtraction

7: Solving Equations Involving Multiplication and Division

Game: Match it!

Unit Problem

Unit 1

4: Equations Involving Addition and Subtraction

5: Equations Involving Multiplication and Division

PR2. Solve problems involving single-variable, one-step equations with whole number coefficients and whole number solutions.[C, CN, PS, R]

Grade 5

NUMBER

Overall Expectation



On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Whole Number Operations (Addition and Subtraction)

Using personal

strategies to add greater numbers.

Using personal

strategies to subtract greater

numbers.

Estimating sums and differences.

Unit 2

4: Estimating Sums

5: Using Benchmarks to Estimate


7: Using Estimation to Check Answers


Unit Problem

Unit 2

4: Estimating Sums

6: Adding 3-Digit Numbers

7: Adding 4-Digit Numbers


10: Subtracting 3-Digit Numbers

12: Subtracting 4-Digit Numbers

N3. Apply mental mathematics strategies and number properties, such as:

· skip counting from a known fact

· using doubling or halving

· using patterns in the 9s facts

· using repeated doubling or halving

to determine answers for basic multiplication facts to 81 and related division facts.

[C, CN, ME, R, V]

Grade 5

NUMBER

General Outcome



On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Whole Number Operations (Multiplication and Division)

Using mental math strategies to recall

Multiplication facts to 9 × 9.

Multiplying two 2-digit numbers.

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

Unit 3

3: Multiplying with Multiples of 10

4: Estimating Products to Solve Problems

5: Using Mental Math to Multiply

6: Multiplying 2-Digit Numbers

Game: Multiplication Tic Tac Toe

7: Estimating Quotients to Solve Problems

8: Dividing a 3-Digit Number by a 1-Digit Number

9: Other Strategies for Dividing Whole Numbers

Game: Target No Remainder!

10: Solving Problems


Unit Problem

Unit 5

9: Relating Fractions and Decimals to Division

Unit 3

3: Using Skip-Counting to Multiply

Unit 8

6: Using Patterns to Multiply

7: Multiplying a 3-Digit Number by a 1-Digit Number

10: Using Base Ten Blocks to Divide

N2. Use estimation strategies including:

· front-end rounding

· compensation

· compatible numbers

in problem-solving contexts.

[C, CN, ME, PS, R, V]

N4. Apply mental mathematics strategies for multiplication, such as:

· annexing then adding zero

· halving and doubling

· using the distributive property.

[C, ME, R]

N5. Demonstrate an understanding of multiplication (2-digit by 2-digit) to solve problems.

[C, CN, PS, V]

N6. Demonstrate, with and without concrete materials, an understanding of division (3-digit by 1-digit) and interpret remainders to solve problems.

[C, CN, PS]

Grade 5

SHAPE AND SPACE

MEASUREMENT

General Outcome

Use direct or indirect measurement to solve problems.


On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Measurement (Length, Perimeter and Area)

Measuring the

perimeter of

regular and

irregular

polygons.

Solving

problems

involving

perimeter and

area.

Unit 4

1: Measuring Length


3: Exploring Rectangles with Equal Perimeters

Game: Who Can Fill the Page?

4: Exploring Rectangles with Equal Areas

Unit 4

9: Measuring Area in Square Centimetres

11: Finding Area in Square Metres

SS1. Design and construct different rectangles, given either perimeter or area, or both (whole numbers) and draw conclusions.[C, CN, PS, R, V]

SS2. Demonstrate an understanding of measuring length (mm and km) by:

· selecting and justifying referents for the unit mm and km

· modelling and describing the relationship between mm and cm units, and between mm and m units

· modelling and describing the relationship between m and km units.


Grade 5

SHAPE AND SPACE

MEASUREMENT

General Outcome

Use direct or indirect measurement to solve problems.

Mathology Readiness Tasks

On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Measurement (Mass & Capacity)

Using appropriate

units to estimate and

measure mass.

Using appropriate

units to estimate and

measure capacity.

Estimating and measuring the areas of

polygons.

Estimating and measuring volume in

cubic centimetres and cubic metres.

Unit 45: Exploring Volume

6: Measuring Volume in Cubic Centimetres

7: Constructing Rectangular Prisms with a Given Volume

8: Measuring Volume in Cubic Metres

9: Exploring Capacity: The Litre

10: Exploring Capacity: The Millilitre

11: Relating Capacity and Volume

Unit Problem

Unit 4

9: Measuring Area in Square Centimetres

SS3. Demonstrate an understanding of volume by:

· selecting and justifying referents for cm3 or m3 units

· estimating volume by using referents for cm3 or m3

· measuring and recording volume (cm3 or m3)

· constructing rectangular prisms for a given volume.


SS4.Demonstrate an understanding of capacity by:

· describing the relationship between mL and L

· selecting and justifying referents for mL or L units

· estimating capacity by using referents for mL or L

· measuring and recording capacity (mL or L).


Grade 5

NUMBER

General Outcome



On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Fractions and Decimals

Comparing

fractions with

like and unlike

denominators.

Relating

fractions to

decimals and

decimals to

fractions.

Representing

decimals

(tenths,

hundredths).

Comparing and

ordering

decimals to

thousandths.

Unit 5

1: Equivalent Fractions

2: Comparing and Ordering Fractions


4: Relating Fractions to Decimals

5: Fraction and Decimal Benchmarks

6: Exploring Thousandths

7: Comparing and Ordering Decimals

9: Relating Fractions and Decimals to Division

Unit 5

3: Exploring Fractions of a Set

8: Comparing and Ordering Unit Fractions with the Same Numerator or Denominator

9: Exploring Tenths

10: Exploring Hundredths

11: Equivalent Decimals

N7. Demonstrate an understanding of fractions by using concrete and pictorial representations to:

· create sets of equivalent fractions

· compare fractions with like and unlike denominators.

[C, CN, PS, R, V]

N8. Describe and represent decimals (tenths, hundredths, thousandths) concretely, pictorially and symbolically.

[C, CN, R, V]

N9. Relate decimals to fractions (to thousandths).

[CN, R, V]

N10. Compare and order decimals (to thousandths) by using:

· benchmarks

· place value

· equivalent decimals.

[CN, R, V]

Grade 5

NUMBER

General Outcome



On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Decimal and Fraction

Operations

Adding

decimals to

hundredths

Subtracting

decimals to

hundredths

Unit 5

10: Estimating Sums and Differences

11: Adding Decimals

Game: Make 2!

12: Subtracting Decimals

13: Adding and Subtracting Decimals

Unit Problem

Unit 5

11: Equivalent Decimals

12: Adding Decimals to Tenths

13: Subtracting Decimals to Tenths

14: Adding and Subtracting Decimals to Hundredths

N11. Demonstrate an understanding of addition and subtraction of decimals (limited to thousandths).

[C, CN, PS, R, V]

Grade 5

SHAPE AND SPACE

3-D OBJECTS AND 2-D SHAPES

General Outcome

Describe the characteristics of 3-D objects and 2-D shapes and analyze the relationships among them.


On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Geometry (2D Shapes and 3D Solids)

Using

geometric

properties to

describe the

edges and

faces of 3-D

solids.

Identifying

and sorting

quadrilaterals.

Unit 6

1: Describing Shapes

2: Investigating Perpendicular Sides

3: Investigating Quadrilaterals

4: Other Attributes of Quadrilaterals


6: Exploring Faces and Edges of Objects

Game: Face-Off!

7: Drawing Objects

Unit Problem

Unit 6

1: Objects in Our World

3: Exploring Nets

SS5. Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are:

· parallel

· intersecting

· perpendicular

· vertical or horizontal.

[C, CN, R, T, V]

SS6.Identify and sort quadrilaterals, including:

· rectangles

· squares

· trapezoids

· parallelograms

· rhombuses

according to their attributes.

[C, R, V]

Grade 5

STATISTICS AND PROBABILITY

DATA ANALYSIS

General Outcome

Collect, display and analyze data to solve problems.


On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Data Management

Differentiating between first- hand and second-hand data.

Constructing Double Bar graphs.

Interpreting Double Bar graphs.

Unit 7

1: First-Hand Data and Second-Hand Data

2: Interpreting Double Bar Graphs

3: Constructing Double Bar Graphs

Technology: Using Census at School to Find Second-Hand Data

Unit Problem

Unit 7

1: Reading Pictographs and Bar Graphs

3: Drawing Bar Graphs

SP1. Differentiate between first-hand and second-hand data.[C, R, T, V]

SP2. Construct and interpret double bar graphs to draw conclusions.[C, PS, R, T, V]

Grade 5

STATISTICS AND PROBABILITY

CHANCE AND UNCERTAINTY

General Outcome

Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.


On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Data Management (Probability)

Using fractions to

describe the probability of events.

Representing probabilities on a probability line.

Using probability to make predictions and informed decisions.

Determining and

comparing the theoretical and

experimental probabilities of an event.

Unit 7

4: The Language of Probability

5: Using Spinners to Compare Likelihoods

6: Conducting Experiments

Game

Unit Problem

N/A

SP3. Describe the likelihood of a single outcome occurring using words, such as:

· impossible

· possible

· certain

[C, CN, PS, R]

SP4. Compare the likelihood of two possible outcomes occurring using words, such as:

· less likely

· equally likely

· more likely.

[C, CN, PS, R]

Grade 5

SPATIAL SENSE

TRANSFORMATIONS

General Outcome

Describe and analyze position and motion of objects and shapes.


On-Grade Lessons:




Grade 5 Curriculum

Specific Outcome

Task

Key Concepts

Geometry

(Transformations)

Identifying a

transformation

(translation,

rotation,

reflection) of a

2-D shape.

Performing a

transformation

(translation,

rotation,

reflection) of

a 2-D shape

and drawing

the image.

Unit 8

1: Translations

3: Reflections

4: Rotations

5: Exploring Different Points of Rotation

Technology

Unit 6

6: Line Symmetry

SS7. Perform a single transformation (translation, rotation, or reflection) of a 2-D shape (with and without technology) and draw and describe the image.

[C, CN, T, V]

SS8. Identify a single transformation, including a translation, rotation and reflection of 2-D shapes.

[C, T, V]

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Mathology 5 Planning Tool – New Brunswick

pearson · web viewgrade 5 curriculum specific outcome task key concepts geometry (transformations)...

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