Knowledge Group 3/4

Level/Framework stage/Group

AA

Duration/Date

2 weeks

Focus Achievement Objectives

NA4-1: Use a range of multiplicative strategies when operating on whole numbers.

NA3-4: Know how many tenths, tens, hundreds, and thousands are in whole numbers.

NA3-5: Know fractions and percentages in everyday use.

Who wins?

Level Four

Level Five

Number and Algebra

Numeracy activities

Fractions and Grids

Level Three

Number and Algebra

Numeracy activities

In this activity we use a grid to help students think of different names for the same fraction. As they become familiar with a hundredths grid, they will find it easier to make connections between fractions and decimals.

Common Multiples

Level Four

Number and Algebra

Numeracy activities

This activity provides students with a fun, game context in which to practice finding common multiples of numbers. This activity builds knowledge to help develop multiplicative strategies.

Factor Cards

Level Four

Number and Algebra

Numeracy activities

This activity provides students with a fun, game context in which to practice their factorisation skills. This activity builds the knowledge to help develop multiplicative strategies.

Source URL: https://nzmaths.co.nz/user/387/planning-space/knowledge-group-34

Who wins?

Achievement Objectives

NA4-6: Know the relative size and place value structure of positive and negative integers and decimals to three places.

AO elaboration and other teaching resources

NA5-5: Know commonly used fraction, decimal, and percentage conversions.

AO elaboration and other teaching resources

Specific Learning Outcomes

Identify and order decimals to three places.

Order fractions, decimals and percentages.

Description of Mathematics

Number Framework Stages7 and 8

Activity

Write the table of long-jump distances on the board or modelling book. Ask who wins. Continue listing the distances from largest to smallest.

wins1.

Repeat ordering numbers with the lists in the table. The third list is particularly taxing as it requires the

students to realise that, to order a set of very similar numbers, they must search systematically starting at the left-hand end of each number.

wins2.

Fractions and Grids

Purpose

In this activity we use a grid to help students think of different names for the same fraction. As they become familiar with a hundredths grid, they will find it easier to make connections between fractions and decimals.

Achievement Objectives

NA3-4: Know how many tenths, tens, hundreds, and thousands are in whole numbers.

AO elaboration and other teaching resources

Specific Learning Outcomes

list several different names for fractions represented by shaded rows in a hundredths grid.

Required Resource Materials

Blackboard or whiteboard

Blank OHP transparency 10 x 10 grid, or blank 10 x 10 grid drawn on the black board with wet chalk (enabling shaded areas to be drawn in and erased with the grid remaining).

Activity

Shade in several rows of the grid and ask students:
What fraction of the whole square has been shaded?
For example, if 4 rows have been shaded answers may include 4 tenths and 40 hundredths

Have students come up with as many names for the fraction as they can, asking them to explain their thinking.
Extend the students’ thinking by asking them to double and half the fraction:
What is half of 4 tenths? How did you know?
Repeat the activity with a different number of rows shaded.

Common Multiples

Purpose

This activity provides students with a fun, game context in which to practice finding common multiples of numbers. This activity builds knowledge to help develop multiplicative strategies.

Achievement Objectives

NA4-1: Use a range of multiplicative strategies when operating on whole numbers.

AO elaboration and other teaching resources

Specific Learning Outcomes

Identify common multiples of numbers to 10.

Required Resource Materials

Gameboard per person
Two six-sided dice per group
Counters

Activity

Players take turns to throw the two dice
After each throw they find the common multiples of these numbers.
They cover these numbers with counters.
Each player has five turns and the winner is the person who has the most numbers covered on their game board.

Extension

You may like to get the students to make up their own game board, deciding which numbers would need to be on it for them to win. If you wanted to extend the game you could use 10 sided dice and construct a game board for that.

Attachments

CommonMultiplesgameboard.pdf24.29 KB

Factor Cards

Purpose

This activity provides students with a fun, game context in which to practice their factorisation skills. This activity builds the knowledge to help develop multiplicative strategies.

Achievement Objectives

NA4-1: Use a range of multiplicative strategies when operating on whole numbers.

AO elaboration and other teaching resources

Specific Learning Outcomes

use their knowledge of basic facts to identify common factors of numbers to 100.

Required Resource Materials

Factorisation Cards

Activity

Each player is dealt 7 cards, the rest are placed face down on the table.
A card is turned over and players take it in turns to place a card on the pile.
To place a card on the pile the card that is being placed has to have a common factor with the card face up.
The object of the game is to be the first player to use all their cards.
If a player can not place a card on the pile they have to pick up a card.

Attachments

FactorCards.pdf30.78 KB