Pearson · Web viewN5.5 Demonstrate an understanding of fractions by using concrete and pictorial...
Transcript of Pearson · Web viewN5.5 Demonstrate an understanding of fractions by using concrete and pictorial...
Grade 5 Planning Tool: Readiness Tasks, Next Steps & Saskatchewan Curriculum
Grade 5
NUMBER
General Outcome
Develop number sense.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
8: Estimating Differences
N5.1 Represent, compare and describe whole numbers to 1 000 000 within the contexts of place value and the base ten system, and quantity.
[C, CN, R, V, T]
N5.4 Develop and apply personal strategies for estimation and computation including:
· Front-end rounding
· Compensation
· Compatible numbers
[C, CN, ME, PS, R, V]
Grade 5
PATTERNS AND RELATIONS
PATTERNS
General Outcome
Use patterns to describe the world and solve problems.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
4: Strategies Toolkit
Unit 1
2: Extending Number Patterns
P5.1 Represent, analyze and apply patterns using mathematical language and notation.[C, CN, PS, R, V]
Grade 5
PATTERNS AND RELATIONS
VARIABLES AND EQUATIONS
General Outcome
Represent algebraic expressions in multiple ways.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
P5.2 Write, solve and verify solutions of single-variable, one-step equations with whole number coefficients and whole number solutions.[C, CN, PS, R]
Grade 5
NUMBER
Overall Expectation
Develop number sense.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
6: Estimating Differences
7: Using Estimation to Check Answers
8: Strategies Toolkit
Unit Problem
Unit 2
4: Estimating Sums
6: Adding 3-Digit Numbers
7: Adding 4-Digit Numbers
8: Estimating Differences
10: Subtracting 3-Digit Numbers
12: Subtracting 4-Digit Numbers
N5.4 Develop and apply personal strategies for estimation and computation including:
· Front-end rounding
· Compensation
· Compatible numbers
[C, CN, ME, PS, R, V]
Grade 5
NUMBER
General Outcome
Develop number sense.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
11: Strategies Toolkit
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
N5.4 Develop and apply personal strategies for estimation and computation including:
· Front-end rounding
· Compensation
· Compatible numbers
[C, CN, ME, PS, R, V]
N5.2 Analyze models of, develop strategies for, and carry out multiplication of whole numbers.
[C, CN, ME, PS, R, V]
N5.3 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.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
2: Strategies Toolkit
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
SS5.1 Design and construct different rectangles, given either perimeter or area, or both (whole numbers) and draw conclusions.[C, CN, PS, V]
SS5.2 Demonstrate an understanding of measuring length (mm) by:
· selecting and justifying referents for the unit mm
· modelling and describing the relationship between mm, cm, and m units.
[C, CN, ME, PS, R, V]
Grade 5
SHAPE AND SPACE
MEASUREMENT
General Outcome
Use direct or indirect measurement to solve problems.
Mathology Readiness Tasks
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
SS5.3 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.
[C, CN, ME, PS, R, V]
SS5.4 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).
[C, CN, ME, PS, R, V]
Grade 5
NUMBER
General Outcome
Develop number sense.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
3: Strategies Toolkit
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
N5.5 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]
N5.6 Demonstrate an understanding of decimals to thousandths by:
· describing and representing
· relating to fractions
· comparing and ordering.
[C, CN, R, V]
Grade 5
NUMBER
General Outcome
Develop number sense.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
N5.7 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.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
5: Strategies Toolkit
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
SS5.5 Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are:
· parallel
· intersecting
· perpendicular
· vertical
· horizontal.
[C, CN, R, T, V]
Grade 5
STATISTICS AND PROBABILITY
DATA ANALYSIS
General Outcome
Collect, display and analyze data to solve problems.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
SP5.1 Differentiate between first-hand and second-hand data.[C, R, T, V]
SP5.2 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.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
SP5.3 Describe, compare, predict and test the likelihood of outcomes in probability situations.
[C, CN, PS, R]
Grade 5
SPATIAL SENSE
TRANSFORMATIONS
General Outcome
Describe and analyze position and motion of objects and shapes.
Mathology Readiness Task
On-Grade Lessons:
Math Makes Sense 5 (WNCP)
Prior Grade Lessons:
Math Makes Sense 4 (WNCP)
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
SS5.7Identify, create and analyze single transformations of a 2-D shapes (with and without technology).
[C, CN, T, V]
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Mathology 5 Planning Tool – Saskatchewan