Mathematics Interim Curriculum Scope and Sequence...
Transcript of Mathematics Interim Curriculum Scope and Sequence...
Mathematics Interim Curriculum Scope and Sequence Document
M i n i s t r y o f E d u c a t i o n | S t . K i t t s & N e v i s
9 / 2 9 / 2 0 1 6
Grade 5
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 1 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
Date Created: September 29, 2016 Author(s): Viola Henry and James Morris
Introduction This Scope & Sequence Document for the Interim Mathematics Curriculum provides an overview of desirable learning outcomes for students and a suggested timeline of instruction for Grade 5 students in St. Kitts and Nevis.
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 2 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
Contents
Introduction ............................................................................................. 1
GRADE 5: TERM 1 .......................................................................................... 4
Communicating with Numbers & Place Value ............................................................... 4
Comparing and Rounding Numbers ......................................................................... 4
Skip Counting and Estimation ........................................................................... 4
Prime Numbers, Composite Numbers, Odd & Even Numbers and Factors ....................................... 4
Roman Numerals ......................................................................................... 5
Addition & Subtraction ................................................................................. 5
Multiplication & Division .............................................................................. 5
Problem Solving Techniques ............................................................................. 5
Number Sequence ........................................................................................ 6
Order of Operations .................................................................................... 6
GRADE 5: TERM 2 .......................................................................................... 7
Ratio & Proportion ..................................................................................... 7
Fractions .............................................................................................. 7
Simple Percentage ...................................................................................... 7
Bills .................................................................................................. 8
Profit and Loss ........................................................................................ 8
Length and Perimeter ................................................................................... 9
Area ................................................................................................... 9
Capacity ............................................................................................... 9
Mass ................................................................................................... 9
Time .................................................................................................. 10
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 3 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
The Circle, Polygons and 3-D objects .................................................................. 10
Angles ................................................................................................ 10
GRADE 5: TERM 3 ......................................................................................... 11
Patterns .............................................................................................. 11
Sets .................................................................................................. 11
Gathering, Representing and Interpreting Data ......................................................... 12
The Mean .............................................................................................. 12
Inference and Probability ............................................................................. 12
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 4 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
GRADE 5: TERM 1
Topic 1 Topic 2 Topic 3 Topic 4
NUMBERS & NUMBER SENSE
Communicating with Numbers & Place Value
Comparing and Rounding Numbers Skip Counting and Estimation Prime Numbers, Composite Numbers, Odd & Even Numbers and Factors
Time: # of weeks Week 1 – 2 Week 3 Week 4 Week 5 – 6
Reference Code
G5WRTNUM G5COMPARENUM G5ESTIMATION G5PRIMES G5FACTORS
G5PLACEVALUE G5ROUNDING G5SKIPCOUNTING G5FACTORS
Objectives
1.1 Communicating with numbers (0-999 999) 1. Identify whole numbers up to 999 999 2. Read and write whole numbers
up to 999 999 in: (a) symbols (b) words
3. State word names when given whole numbers with up to 6 digits
4. State whole numbers given word names for numbers up to hundreds of thousands
1.2. Place value 1. State the value of any digit in a
6- digit whole number 2. State the value of any digit in a
decimal number up to thousandths
1.3. Expanded form 1. Write 6-digit numbers in expanded
form 2. Write 6-digit numerals given the expanded form 1.4. Number Comparisons 1. Compare (a) whole numbers with 6
or less digits; (b) decimal numbers 2. Order (a) whole numbers with 6 or
less digits; (b) decimal numbers 1.5. Rounding 1. Round whole numbers to the
nearest: (a) ten (b) hundred (c) thousand (d) ten thousand 2. Round decimals to the nearest:
(a) tenth (b) hundredth
1.6. Estimation 1. Estimate by: (a) rounding
(b) clustering (c)using compatible numbers (d) using the front-end method
2. Estimate then count the number of objects in a set of less than 1 000 000 objects
1.7 Skip counting 1. Use random numbers as starting
points to skip count in:(a) units (b) tens (c) hundreds(d) thousands (e) tens of thousands (f) tenths (g) hundredths
1.9. Factors 1. State the factors of numbers from
1 – 99 1.8 Prime & composite numbers 1. Identify prime numbers up to 100 2. Identify composite numbers up to 100 1.10 Prime Factorization 1. Express any number up to 144 as a
product of its prime factors 1.11 Highest Common Factor 1. Determine the highest common factor
of 3 or less numbers 1.16. Odd & Even Numbers 1. Classify numbers as odd or even
Key Resources
Counters, items in or around the classroom and number lines/charts
Counters, rubber bands and base ten blocks
Counters, items in or around the classroom and number charts
Number charts
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 5 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
GRADE 5: TERM 1
Topic 5 Topic 6 Topic 7 Topic 8
NUMBERS & NUMBER SENSE
Roman Numerals Addition & Subtraction
Multiplication & Division Problem Solving Techniques
Time: # of weeks Week 7 Week 7 – 8 Week 8 – 10 Week 11
Reference Code G5ROMAN_NUMERAL G5ADD-SUBTRACT G5MULTIPLY-DIVIDE G5NUM-PROBLEM
G5MULTIPLES G5SQUARE_NUMBER
Objectives
1.12 Multiples 1. State the multiples of 1-digit and 2-
digit numbers 1.13. Lowest Common Multiple 1. Determine the lowest common
multiple of 3 or less numbers 1.15. Square Numbers 1. Identify square numbers up to 144 1.14 Roman Numerals 1. Read and write Roman numerals up
to 3000 2. Express the current year in Roman
Numerals
1.17 Addition & Subtraction (WITH REGROUPING) 1. Use addition and subtraction
strategies to solve simple problems mentally
2. Explain addition and subtraction strategies
3. Solve addition and subtraction problems involving: (a) whole numbers (b) fractions (c) decimals up to thousandths (d) money
1.18. Multiplication & Division (WITH REGROUPING) 1. Determine the product of 1-digit and
2-digit whole numbers by: (a) using an array (b) doubling (c) repeated doubling (d) skip counting (e) skip counting from a known fact
2. Determine the quotient of 2-digit, 3-digit or 4-digit numbers and whole numbers with up to 2-digits by: (a) partitive division (b) quotative division (c) flexible division algorithms (d) long division algorithms
4. 3. Solve multiplication and division
problems involving: (a) whole numbers (b) fractions (c) decimals up to thousandths (d) money
1.19. Problem Solving Techniques 1. Select appropriate operation(s) and
method(s) for solving problems 2. Justify operations and methods
selected when solving problems 3. Evaluate alternate methods of solving
a given problem 4. Verify solutions 5. Solve problems involving: (a) multiple
steps (b) multiple operations
Key Resources
Squares of unit length and multiplication tables
Counters, rubber bands and base ten blocks
Counters, items in or around the classroom and number charts
Number charts and factor tree diagrams
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 6 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
GRADE 5: TERM 1
Topic 9 Topic 10
NUMBERS & NUMBER SENSE Number Sequence Order of Operations
Time: # of weeks Week 11 Week 12
Reference Code
G5NUM_SEQUENCE G5ORDER
Objectives
1.20. Number Sequences 1. Create number sequences of addition and subtraction with up to 10: (a) whole numbers (b) fractions (c) decimals 2. Create number sequences of multiplication and division with up to 10:(a) whole numbers (b) fractions (c) decimals
1.21. Order of Arithmetic Operations 1. State the order of arithmetic operations 2. Use the order of operations to solve problems
Key Resources
Counters, items in or around the classroom and number lines/charts
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 7 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
GRADE 5: TERM 2
Topic 11 Topic 12 Topic 12 Topic 13
NUMBERS & NUMBER SENSE Ratio & Proportion Fractions
Fractions Simple Percentage
Time: # of weeks Week 1 Week 2 Week 3 – 4 Week 4
Reference Code
G5RATIO G5FRACTIONS G5FRACTION_OPS G5_FRACTION_CONV G5PERCENTAGE
G5PROPORTION G5MIXED_NUM G5FRACTION_COMP
Objectives
1.22. Ratio 1. Represent ratios using objects 2. Express a ratio using a colon (:)
or a fraction 3. Identify and write equivalent
ratios 4. Determine the missing term in a
pair of equivalent ratios 1.23. Proportion 1. Solve simple ratio and proportion
problems 2. Solve problems involving
unequal sharing
1.25. Fractional Parts 1. Calculate fractions of given quantities 1.26. Equivalent Fractions 1. Determine the equivalence of
fractions 1.27. Reducing Fractions 1. Reduce fractions 2. Write fractions in their simplest
form 1.28. Mixed Numbers 1. Express improper fractions as
mixed numbers 2. Express mixed numbers as
improper fractions
1.29. Operations with fractions 1. Add and subtract fractions with:
(a) like denominators (b) unlike denominators
2. Add and subtract mixed numbers 3. Multiply fractions by:
(a) whole numbers (b) fractions 1.30. Comparing Fractions 1. Order and compare fractions 1.31. Converting Fractions to percentages decimals 1. Express fractions as: (a) percentages (b) decimals
1.24. Simple Percentage 1. Determine simple percentages of
given quantities
Key Resources
Recipes and/or mixtures and objects to be shared e.g. marbles or pencils
Fraction tiles/charts Fraction tiles/charts
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 8 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
GRADE 5: TERM 2
Topic 14 Topic 15
NUMBERS & NUMBER SENSE
Bills Profit and Loss
Time: # of weeks Week 5 Week 5 – 6
Reference Code
G5BILLS G5PROFIT_LOSS
Objectives
1.32. Computing Bills 1. Calculate shopping bills given
the unit cost of items and a shopping list
2. Calculate the cost of meals when given the unit cost per item and a list of orders
3. Compute the change to be given or received from bills up to $80
1.33. Profit or Loss 1. Use cues in word problems to
determine an item’s: (a) cost price (b) selling price
2. Identify whether a profit is made or a loss is incurred in simple financial transactions
3. Given the cost price and selling price of an item, calculate the: (a) profit or
(b) loss
Key Resources
Prices of goods at wholesale and retail outlets, bills from restaurants or supermarkets etc.
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 9 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
GRADE 5: TERM 2
Topic 16 Topic 17 Topic 18 Topic 19
SHAPES & SHAPES
Length and Perimeter Area Capacity Mass
Time: # of weeks Week 7 Week 8 Week 8 – 9 Week 9
Reference Code
G5LENGTH G5PERIMETER G5AREA G5CAPACITY G5MASS
Objectives
2.1. Length 1. State the relationships among
mm, cm, m and km 2. Convert: (a) mm to cm; cm to mm
(b) cm to m; m to cm (c) mm to m; m to mm (d) m to km; km to m
3. Convert: (a) mm to cm; cm to mm (b) cm to m; m to cm (c) mm to m; m to mm
4. Estimate lengths in mm, cm and m.
5. Measure lengths in mm, cm and m.
2.2. Perimeter 1. Using mechanical and word
problems, calculate the perimeter polygons (3 to 8 sides)
2.3. Area 1. Calculate the length of a rectangle if
the area and width are known 2. Calculate width of a rectangle if the
area and length are known 3. Calculate the area of regular
polygons using a grid
2.4. Capacity 1. Distinguish the term volume from
capacity 2. Estimate the capacity of objects in
standard units 3. Measure the capacity of containers
in standard units 4. Arrange containers in order of
capacity (standard units) 5. Convert whole and half numbers
from: (a) ml to L (b) L to ml 6. Solve problems involving capacity
2.5. Mass 1. Estimate, measure and record the
mass of objects in standard units 2. Compare and order the mass of
objects using standard units 3. Convert whole numbers and halves
from: (a) g to kg (b) kg to g 4. Solve problems involving mass
Key Resources Rulers, objects in or around the classroom (to be measured)
Grid(graph) paper Containers of different shapes and sizes and fluids
Weights, scales and objects of differing mass.
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 10 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
GRADE 5: TERM 2
Topic 20 Topic 21 Topic 22
SHAPES & SHAPES
Time The Circle, Polygons and 3-D objects Angles
Time: # of weeks Week 10 Week 11 Week 12
Reference Code
G5TIME G5GEOMETRY G5GEOMETRY
Objectives
2.6. Time 1. Read and write time in hours and
minutes 2. Use addition and subtraction to
determine the elapsed time between two events
3. Convert: (a) hours to minutes (b)minutes to hours
4. Convert between the 12-hour and the24-hour clock
5. Solve word problems involving time
2.7. The Circle 1. Name the parts of a circle 5. Calculate radius of a circle when the
diameter is known 6. Calculate the diameter of a circle
when the radius is known 2.8. Polygons with 3 to 12 sides 1. Name a polygon when given: (a) the
number of sides of the polygons or (b) diagrams of the polygon
2. State the number of edges, faces and vertices in 3-D solids
2.9. Angles 1. Distinguish types of angles from
each other: acute, obtuse, right angle, reflex angle, straight angle/straight line angle
2. Use protractors to read angles between 0 and 180 degree
Key Resources Clocks A pair of compasses, 3-D solids and 2-D shapes
Protractors
.
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 11 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
GRADE 5: TERM 3
Topic 23 Topic 24
SHAPES & SPACE
Patterns Sets
Time: # of weeks Week 1 Week 2
Reference Code
G5PATTERNS
G5SETS
Objectives
3.1. Simple Patterns: Concrete & Pictorial
1. Complete numerical, geometric and picture patterns
2. Use concrete objects to represent relationships in (function) tables
3. Determine the rule which represents a given relationship
3.2. Pattern Development 1. Construct and extend patterns 3.3. Problem Solving with Patterns 1. Complete multi-step problems e.g., sums of sequences
3.5. Sets 1. Identify equal sets 2. List proper subsets from given data 3. Use symbols to represent: (a) elements (b) subsets (c) intersections of sets and (d) unions of sets 4. Use Venn diagrams to show intersection (not more than 2 sets) 5. Solve problems using Venn diagrams
Key Resources Pattern/attribute blocks Pattern/attribute blocks
Grade 5 Interim Mathematics Curriculum Scope & Sequence Document | Ministry of Education | St. Kitts & Nevis
Document | Ministry of Education | St. Kitts & Nevis
Page 12 SCOPE & SEQUENCE DOCUMENT | INTERIM MATHEMATICS CURRICULUM (K – 6) | CURRICULUM DEVELOPMENT UNIT | ST. KITTS & NEVIS
GRADE 5: TERM 3
Topic 25 Topic 26 Topic 27
STATISTICS & PROBABILITY
Gathering, Representing and Interpreting Data
The Mean Inference and Probability
Time: # of weeks Week 3 – 4 Week 5 Week 6
Reference Code
G5DATA_COLLECT G5CHARTS_GRAPHS G5CHARTS_GRAPHS
G5CHARTS_GRAPHS G5PROBABILITY
Objectives
4.1. Data Collection 1. Distinguish between a total
population and a sample of that population.
4.2. Charts & Graphs 1. Read information using: (a) tally
charts (b) frequency tables 2. Choose a suitable scale to
display data on: (a) pictographs (b)bar graphs
3. Read and interpret pictographs/bar graphs where a single picture/bar represents 2 to 10 objects
4. Read and interpret line graphs in the first quadrant
4.3. The Mean 1. Calculate the mean from given
information
4.4. Predictions 1. Use data to make inferences and
draw conclusions 4.5. Outcomes 1. Distinguish between possible and
expected outcomes
Key Resources Spinners and dice† Graphs Graphs, jar of coloured balls and dice
† - Students could generate data.