Read, write, model, estimate, count, compare and order numbers, extend understanding of the base 10 system to the thousands and millions.

 

Use number facts.

 

Use and describe multiple strategies to solve addition, subtraction, multiplication and division problems.

 

Read, write, model, compare and order fractions, decimals and percentages.

 

Add, subtract and simplify fractions.

 

Interchange fractions, decimals and percentages.

 

Use exponential notation.

N1 - Read, write and model to 1,000,000.

N2- Count, compare, estimate and order to 1,000,000.

N3- Practice adding and subtracting all number facts.

N4- Use addition and subtraction to 10,000.

N5- Practice all multiplication and division facts.

N6- Multiply by a 2-digit number.

N7- Divide by a 2-digit with and without remainder.

N8- Use order of operations for addition, subtraction, multiplication, division and operations in parentheses.

N9-  Recognize  fractions with denominators from 1 to 12 and 100.

N10-  Add and subtract fractions with the same denominator of 1 to 12 and 100.

N11- Operate with decimal fractions from tenths to hundredths.

N12- Convert simple fractions to decimals and vice versa.

N13- Add and subtract decimal fractions.

N14- Model exponents to the 2^nd power.

Recognize, describe and analyze patterns in number systems.

 

Identify patterns and rules for multiplication and division, using the relationship with addition and subtraction.

Model and explain number patterns.

Develop, explain and model simple algebraic formulas.

Model exponents as repeated multiplication.

P1 –  Create, describe and extend patterns to 1,000,000 such as prime, composite, square and triangular. Use the Sieve of Eratosthenes algorithm.

P2-   Understand the relationship between multiplication and addition, and division and subtraction.  Understand and apply the Commutative Law, the Zero Property and Property of 1 statements.

P3-  Explore circles with numerals 0 – 9 around circumference to make patterns for  x number facts.

P4-   Explore equations such as x + 1 = y.

P5- Use formulas to measure perimeter and area.

P6- Model exponents using grid paper.

Classify, describe and label regular and irregular polygons, all types of triangles and quadrilaterals.

 

Combine and transfer 2-D shapes to create another shape.

 

Convert a 2-D net into a 3-D shape and vice versa.

 

Use the mathematical vocabulary of 2-D and 3-D shapes and angles.

 

Identify lines and axes of reflective and rotational symmetry.

 

Understand angles as a measure of rotation and locate features on a grid using coordinates.

 

Find and use scale to enlarge and reduce shapes.

 

Describe position and read and plot coordinates.

S1-   Investigate the features of polygons. Draw, describe and explain all the types of triangles and quadrilaterals.

S2-    Draw, describe, classify and model 3-D shapes from their 2-D equivalents with 4 or more sides.

S3-  Explore connection between 3-D shapes and their 2-D net. Explore the net using boxes of various shapes.

S4-   Measure angles (right, acute, obtuse and straight) using a protractor and describe them.

S5-   Investigate the connection between radius, diameter and circumference.

S6-   Draw shapes and objects using specific criteria-e.g., 2 parallel lines intersected by a perpendicular line.

S7-   Draw shapes with 2, 3 or 4 lines of symmetry.

S8-  Reduce or enlarge patterns or images using grid paper. Investigate use of scale drawing in maps.

S9- Follow directions of movement -¼, ½, ¾ turns. Apply knowledge of direction- north, south, west and east in movement.

S10- Locate and plot positions on a map or a grid. Draw pictures in the 1^st quadrant by following series of ordered pairs.

Estimate, measure, label and compare length, mass, time, temperature using formal methods and standard units of measurement.

 

Use appropriate tools and units of measurements for accurate measurement.

 

Estimate, measure, label and compare perimeter, area and volume using formal methods, standard and non-standard units of measurements.

 

Recognize the relationship between perimeter, area and volume.

 

Measure and construct angles in degrees.

 

Use 12-hour and 24-hour timetables.

 

Determine times worldwide.

 

 

M1-  Estimate smaller units, e.g., 3 ½  metres, 1 ¼  kilograms.

M2-  Measure using decimals. Convert using decimals to 2 places,  e.g., 6.34 m = 6m 34cm = 634 cm.

M3- Estimate and measure perimeter of regular shapes- square, rectangle and equilateral triangle using formulas.  

M4 - Estimate and measure area of large shapes. Use geoboards to explore the relationship between perimeter and area.

M5- Estimate and measure volume of objects using layers of cubes. Explore the relationship between area and volume.

M6-  Solve practical problems (e.g., fitting furniture in a room, putting tiles in the kitchen etc.)

M7-  Measure and construct angles using a protractor.

M8- Read authentic timetables such as school timetable, television program, bus schedule etc.                                             

M8- Calculate time with or without regrouping, e.g. 2 hrs 45 min +3 hrs 38 min.

M9- Calculate elapsed time in fractions of time. (E.g. The movie ended at 17:45. It ran for 1 hour 15 minutes. What time did the movie begin?)

M10- Learn about the world time zones and calculate time differences.

Collect, display, interpret and data in a variety of ways.

 

Set up a spreadsheet using simple formulas to create graphs.

 

Manipulate information in a database.

 

Find, describe and explain the range, mode, median and mean in a set of data.

 

Use probability to determine the outcome of mathematically fair and unfair games.

D1-  Prepare and interpret data in the form of a line plot or a stem-and-leaf arrangement to present survey information.

D2-   Display data using line graphs. Interpret data in a bar, column and pie graphs.

D3-   Create an appropriate type of a database. 

D4-    Calculate and describe the average or mean in a set of data. Compare and contrast this information with that of the median and mode.

D5-    Create a game which can be manipulated to make it unfair to some participants. Explain concept and experiment with other methods.

D6-    Investigate outcomes when using two items (spinners, dice etc.) to carry out a probability task. Explain effects.

 

Read, write, estimate, count, compare and order numbers, extend understanding of the base 10 system to the thousands.

 

Read, write and model multiplication and division problems.

 

Use and describe multiple strategies to solve addition, subtraction, multiplication and division problems.

 

Compare fractions using manipulatives and mathematical vocabulary.

N1 - Read, write and model to 100,000.

N2- Count, compare, estimate and order to 100,000.

N3- Recall of adding and subtracting number facts to 1,000.

N4- Use addition and subtraction to 1,000.

N5- Recall of multiplication and division facts to 144.

N6- Multiply by a 1-digit number.

N7- Divide by a 1-digit with and without remainder.

N8- Use order of operations for addition, subtraction, multiplication and division.

N9- Recognize fractions with denominators from 1 to 10 and 100.

N10- Add and subtract fractions with the same denominator of 1 to 10 and 100.

Recognize, describe and analyze patterns in number systems.

Identify patterns and rules for multiplication and division, using the relationship with addition and subtraction.

Model multiplication as an array and use number patterns to solve problems.

P1 – Identify and follow a pattern to 100,000 counting by 20’s, 25’s, 50’s and 100’s.

P2-  Find the rules and patterns and solve

Input and Output machines.

P3-  Introduce simple number sentences

(E.g., □ + 3 = 9).

P4- Recognize formula in measurement.

Sort, describe and model regular and irregular polygons, including identifying congruency in 2-D shapes.

 

Combine and transfer 2-D shapes to create another shape.

 

Identify lines and axes of reflective and rotational symmetry.

 

 

 

 

 

 

S1-   Investigate the features of triangles and quadrilaterals.

S2-   Identify the connection between specific 2-D shapes to 3-D shapes based on square, rectangle, triangle and circle.

S3- Draw and identify angles within complex shapes.

S4- Draw circles using string and a pencil as well as a compass. Make patterns using a compass.

S5- Understand, draw and explain lines, rays, line segments, parallel, perpendicular and intersecting lines.

S6- Identify a line of symmetry in shapes.

S7- Investigate and discuss scale models using toys or similar objects.

S8- Explore ordered pairs to plot positions in the 1^st quadrant using games.

Estimate, measure, label and compare length, mass, time and temperature using formal methods and standard units of measurement.

 

Determine appropriate tools and units of measurements.

 

Estimate, measure, label and compare perimeter, area and volume using non-standard units of measurements.

 

Read and write time to the minute and second.

M1- Estimate and use informal resources to demonstrate the need for formal, standard units of measurements.

M2- Select and use appropriate measuring tools. Record results and information in whole numbers.

M3- Estimate and measure perimeter using objects in the immediate environment (books, room etc.). 

M4 - Estimate and measure area of objects in the immediate environment using grid paper. 

M5- Estimate and measure volume of objects in the immediate environment using square cubes.

M6- Solve simple problems (e.g., the distance from home to school is 5 km. What distance does the school bus cover to go from home to school and back home?).

M7- Read time using the second hand on an analogue clock or a stopwatch.                                             

M8- Convert time, e.g. hours and minutes into minutes, days and hours into hours etc.) Extend time facts to the number of days in the months of the year and to knowledge of centuries and millenniums.

M9- Calculate elapsed time in whole numbers of hours, days and weeks.

Discuss, compare and create sets with subsets.

 

Design a survey.

 

Process and interpret data on a bar graph where the scale represents larger quantities.

 

Manipulate information in a database.

 

Find, describe and explain the range, mode and median in a set of data.

 

Use probability to determine the outcome of mathematically fair and unfair games.

D1- Use diagrams to display an increased number of attributes in the data.

D2- Use a tally system to record scores in a simple frequency table with more detailed and complex data.

D3- Display data in a double bar graph and a simple pie graph.

D4-   Understand the purpose and structure of a simple database. Explain the data from a simple database.

D5-   Identify and explain the range, mode and median in a set of data.

D6-   Explore and explain the concept of fair and unfairness in games when using dice, coins or spinners.

D7- Discuss the range of outcomes with the increasing number of trials. Explain the probability in terms of a half of the throws or a quarter of the marbles.

 

Read, write, estimate, count, compare and order numbers.

Read, write, model and understand addition and subtraction, using mathematical vocabulary and symbols.

Explore multiplication and division.

Use fractions to describe whole and part relationship.

N1 - Read, write and model to 1,000.

N2- Count, compare, estimate and order to 1,000.

N3- Add and subtract number facts to 20.

N4- Use addition and subtraction to 100.

N5- Multiply and divide facts to 12.

N6- Understand fractions – halves, quarters and thirds.

 

Describe, continue, create and compare patterns.

P1 – Identify and follow a pattern to 1,000 - odd, even, skip counting by 2’s, 5’s and 10’s.

Describe properties of 3-D shapes, including 2-D shapes that can be seen, using mathematical vocabulary.

 

Find and explain symmetry in the immediate environment, create symmetrical patterns.

 

 

 

 

 

 

S1-  Classify and sort the 2-D shapes such as circles, triangles and squares.

S2- Identify between 2-D and 3-D shapes in and out of the classroom. Use the labels- face, vertex and edge- to describe the shapes. 

S3- Investigate right angles, acute angles and obtuse angles in natural world or classroom.

S4- Explore circles and the concept of radius and diameter.

S5- Observe and describe lines – horizontal, perpendicular and oblique - in real life and in classroom.

S6- Investigate symmetrical shapes in nature- e.g., leaves, snowflakes.

Estimate, measure, label and compare using non-standard units of measurement.

 

Estimate, measure and compare using standard units of measurement.

 

Read and write time and compare lengths of time.

M1-  Use informal and natural resources to measure length, volume, mass, temperature, area and perimeter of objects (such as jars, string, books, paper clips, tiles, etc.).

M2-  Estimate, measure and compare using appropriate and formal  methods and standard units of measurement- centimeters, meters, kilometers, liters, grams, kilograms.

M3- Read and write time in digital and analogue methods – 7:15 or a quarter past 7.  Understand how to read 24 hour time as well as a.m. and p.m.

M4- Estimate and measure seconds, minutes, hours, days, weeks and years (e.g., how many seconds do you need to walk across the room, how many minutes do you need to eat an apple?).

Sort, label, collect, display and compare data in a variety of forms.

 

Understand the purpose of graphing data.

 

Find, describe and explain the mode in a set of data.

 

Discuss, identify, predict and place outcomes in order of likelihood.

D1- Compare, discuss and display data in various forms (e.g., tree, Carroll and Venn diagrams).

D2- Carry out a simple survey to obtain data paying attention to who to be surveyed is, what the wording of the questions will be and what the recording method will be.

D3- Display data in pictographs, bar and column graphs. Explore the need for a scale (e.g., intervals of 2 or 5) on the vertical axis to fit in the data on squared paper.

D4- Set up a simple spreadsheet to present data and to assist in making a graph.

D5- Identify mode in a set of data as well as describe and explain the usefulness of this information.

D6- Discuss the notions of unlikely, certain or impossible in simple games. Use a variety of resources- dice, coins, spinners, marbles in a bag etc.