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.




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




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: 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: TERM 1



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: 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: TERM 2


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: TERM 2

Topic 14 Topic 15


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: TERM 2


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: 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: 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: 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.

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