Analysis of Grade 6 Curriculum

National Chilean Math Curriculum

• Standard and expanded form

Notations and Properties

•  $3\times5=3\cdot5$  

•    $8\ \div5\ =\ 8\ :\ 5\ =\ \frac{8}{5}$  

• Commutativity:  $4\times5=5\times4$  

• Associativity:   $\left(3\times4\right)\times5\ =\ 3\ \times\left(5\times4\right)$  

Multiplication

• Multiplication table

• extend to 3 by 2

• English vs. chilean method

• or vertical vs. horizontal method

Dividing by a 3-digit number with a 1-digit divisor

• Interpret the meaning of the remainder , not merely saying 5 R2  or 6 R3

• Division with a remainder leads to a mixed number type or a decimal

The Order of Operations

•  $3+4\cdot6$  
  

•  $8-2\cdot3$  

Problem Solving

• units

• currencies

• places

• names

Comparing Fractions With Different Denominators

• Chocolate method

• Cross Multiplication

• Convert to Similar Fractions(but they need LCM or LCD)

Improper and  Mixed Numbers

• Equivalence:Mixed = Improper

• Representation on  the Number Line

Fraction operation

• same denominator  - okay

• need to simplify result

Fraction to Decimal

• Only for common fractions

• decimal point =comma

Compare decimals

•  same number of decimal places

• different number of decimal places  such as  $3,2\$  and   $3,25$  

Decimal Operations

• Problem of this type:  $0,5+0,75$  

• Also,  $2-1,67$  

•  $5=5,0=5,00=5,0000....$  

Applications

Number Patterns

• qualitative rule and not necessarily quantitative

• 2,5,8,11..... ( adding 3 to the previous number)

• 2,4,8,16...(twice the previous number,  $2x$  

One Step Equations and Inequalities

• Avoid using big numbes such as  $x+3489=8912$  

• The meaning of   $<$   or.  $>$   symbol

Plotting points on the First Quadrant

•  $\left(x,y\right)$   $x=?,\ y=?$  

• Can include the other quadrants.

Solid figures

• parallel edges

• perpendicular edges

• intersecting edges

Transformation

• Translation

• Reflection

• Rotation

• Use interactives ,or online programs

Measurement

• measures of length

• weight? time?

Conversion of Units

• m , cm. mm, km

• MNEMONIC DEVICE: King Henry's Daughter Makes Delicious Chocolate Muffins

Area and perimeter

• different dimensions but same area

Area of plane figures

• Using the formula

• Irregular figures

Approximating areas using unit squares

Mean

Probability

• qualitative

• can extend it to quantitative

Stem and leaf plot