Week 6 - Decimals

Question 1

When are decimal fractions introduced?

Answer 1

After common fractions because it is a harder concept

Question 2

What is a decimal fraction?

Answer 2

Denominator is a power of 10

Question 3

What do decimals relate to?

Answer 3

Metric measurement

Percentage

Money

Reinforce place value

Representation of small amounts

Question 4

What do decimals represent

Answer 4

The numbers between integers

Question 5

Decimal notation?

Answer 5

Extends whole number place value relationships to fractional relationships

Number expanded can help represent it.

Question 6

Issues related to teaching decimal fractions?

Answer 6

Lack of experience

Mental pictures are hard as they aren’t formed well

If place value isn’t formed well it can be challenging

The conceptual link to common fractions is not initially made or reinforced

Reiterate place value rather than ‘point’

Question 7

Teaching sequence:

Answer 7

Picture

• 3D models based on volume (mab’s, bundling sticks)
• 2D models based on region (pies, 10’s to depict hundredths)
• 1D models based on length (cutting ribbon up)

Names

Symbols

Useful resource - numeral expander

Reinforce place value

Renaming

Comparing

Sequencing

Adjust

Question 8

How will you teach decimals

Answer 8

Concept

Record using language then symbolically

Practice with symbols languages and materials to demonstrate understanding

Reinforce fractional understanding - common and decimals and percentages

Comparing, ordering, sequencing and adjusting

Question 9

How to round numbers?

Answer 9

To the nearest**

Question 10

What are the 6 activity types?

Answer 10

Materials to symbols

Symbols to materials

Materials to language

Language to materials

Symbols to language

Language to symbols