Numbers and

Operations

Develop number sense for rational numbers from 0,001 to 999 999 

Connect the model, number word, and number using a variety of representations; Build understanding of place value (thousandths through hundred thousands); Locate, compare and order numbers; Make estimates of rational numbers (approximate, round up or down, truncate)

Vocabulary
Hundred thousand, million

Develop number sense for rational numbers from 0,001 to 999 999 

Review square, prime, and composite numbers

Develop fluency with multiplication and division, including decimals and fractions       Represent and calculate the power of a number ; Decompose a number into prime factors ; Determine the divisibility of a number by 2, 3, 4, 5, 6, 8, 9, 10.

Use area or region models and set models of fractions to explore part-whole relationships operations involving numbers, natural numbers

Identify the different meanings of fractions (sharing, division, ratio); Generate a set of equivalent fractions ; Reduce a fraction to its simplest form 

Vocabulary
Division, divisor, dividend, quotient, remainder, sharing, equality, inequality, equation, inverse operation, irreducible fraction, numerator, denominator, whole, equivalent

Plane figures

Describe and classify triangles (scalene, right, isosceles, and equilateral triangles)

Space

Use the coordinate system to describe the location and relative position of points in all four quadrants

Vocabulary
Cartesian plane, ordered pair

Angles

Estimate and determine the degree measurement of angles

Vocabulary
Angle, right angle, acute angle, obtuse angles, degree, protractor 

Data and

Probability

Data Analysis

Conduct a survey (formulate a question, collect, describe, and organize data using tables)

Data Analysis

Display and interpretation of data using a table, a bar graph, a pictograph, a broken-line graph, and a circle graph 

Numbers and

Operations

Develop fluency with multiplication and division, including decimals and fractions
Multiply a natural number by a fraction

Use area or region models and set models of fractions to explore part-whole relationships
Compare and order fractions (halves, fourths, eights; thirds, sixths, twelfths; fifths, tenths, hundredths, thousandths) where one denominator is a multiple of the other(s)

Develop fluency with addition and subtraction of rational numbers including decimals (from 0,001 to 999 999) and fractions 

Add and subtract fractions when the denominator of one fraction is a multiple of the other fraction

Develop fluency with addition and subtraction of rational numbers including decimals (from 0,001 to 999 999) and fractions 

Build strategies for adding and subtracting rational numbers; Estimate sums and differences of rational numbers, including decimal numbers

Integers 

Connect the model, number word, and number using a variety of representations including the number line ; Compare and order integers 

Vocabulary
Integer, Negative number, Positive number

Plane figures 

Identify, predict, and describe the results of reflections, rotations, and translations of plane figures

Solids 

Match the net of a convex polyhedron to the corresponding convex polyhedron 

Length and mass area

Establish relationships between various length and mass metric measurements ; Solve problems involving various units of measure of length (meter, decimeter, centimeter, millimeter, kilometer); Establish relationships between units of measure (e.g.: 1 kg = 1000 g; ½ kg = 500 g)

Vocabulary
Mass, gram, kilogram, Liter, milliliter, Degree Celsius

Symbols

Area, volume and capacity

Estimate and measure surface area using conventional units (m2, dm2, cm2); Estimate and measure volume using conventional units (cubic centimeter / cm3, cubic decimeter / dm3, cubic meter / m3)

Vocabulary
square centimeter, square decimeter, square meter, cubic centimeter, cubic decimeter, cubic meter, Liter, milliliter, 

Symbols
L, mL, cm2 , dm2 ,m2 , cm3 , dm3 , m3 

Probability

Enumerate possible outcomes of a random experiment using a table or tree diagram; Compare the outcome of a random experiment with known theoretical probabilities

Numbers and

Operations

Use area or region models and set models of fractions to explore part-whole relationships
Express a decimal as a fraction, a decimal as a percentage, and a fraction as a percentage 

Develop fluency with multiplication and division, including decimals and fractions
Multiply decimals whose product does not go beyond the second decimal place 

Problem solving

Develop flexibility in solving problems by selecting strategies (multiply and divide by 10, 100, 1 000) and using mental computation, estimation, and calculators / computers

Vocabulary
Tenths, Hundredths, Thousandths, Numerator, Denominator, Whole, Equivalent

Symbol
Decimal notation

Develop fluency with multiplication and division, including decimals and fractions
Verify mathematical relationships, including those using the commutative and associative properties of addition and multiplication, and the distributive property of multiplication over addition and subtraction 

Problem solving 

Perform operations in accordance with the order of operations

Vocabulary
Exponent, power, squared, cubes, parenthesis

Develop number sense for rational numbers from 0,001 to 999 999

Locate, compare and order numbers 

Develop fluency with multiplication and division, including decimals and fractions

Divide a decimal by a natural number less than 11

Problem solving 

Develop flexibility in solving problems by selecting strategies (multiply and divide by 10, 100, 1 000) and using mental computation, estimation, and calculators / computers

Plane figures 

Review: Concepts related to polygons

Area, volume and capacity

Estimate and measure capacity using conventional units (milliliter, liter)); Establish relationships between units of measure (e.g.: 1 L = 1000 mL; ½ L = 500 mL)

Vocabulary
Liter, milliliter

Symbols
L , mL

Data analysis                                                                     Understand and calculate the arithmetic mean, mode and median