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Level Three > Number and Algebra

Number in Geometry

Keywords:
Achievement Objectives:

Achievement Objective: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
Achievement Objective: Use a range of multiplicative strategies when operating on whole numbers.
Achievement Objective: Communicate and interpret locations and directions, using compass directions, distances, and grid references.
Achievement Objective: Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality.

Purpose: 

These exercises, activities and games are designed for students to use independently or in small groups to practise number properties. Some involve investigation (see Related Resources) and may become longer and more involved tasks with subsequent recording/reporting. Typically an exercise is a 10 to 15 minute activity.

Specific Learning Outcomes: 

use a range of mental strategies to add to 90, 180, 270, 360.

find factors of 90, 180, and 360

use additive strategies to balance equations

use multiplicative strategies to balance equations

fold paper to show an angle

 

Description of mathematics: 

Addition and subtraction, AA (Stage 6) 
Multiplication and division, AM (Stage 7) 

Required Resource Materials: 
Practice exercises with answers (PDF or Word)
Number line
Calculator
100s chart and flipblock 100s board
Counters
Protractor, compass and ruler or straightedge
Activity: 

Prior knowledge

Developing a range of additive and multiplicative strategies
Multiplication basic facts
Knowledge of factors and multiples
Concepts of N,S,W, E and turns
FIO Books – Check Number Books for doubling and halving activities.
Digital Learning Objects
National Archive of Virtual Manipulatives (via Google)  

Background

Using the context of compass angles students can practise mental strategies to find numbers that add to 90, 180, 270 and 360, and list the factors of 90, 180, and 360. Students also use multiplicative strategives to complete multiplication equations using the context of compass angles, e.g. 90 x = 360. Learning to balance equations is an important concept in algebraic thinking.  In this activity students balance equations so both sides total to 90, 180 or 360.  The activity also includes a geometry focus as studetns match a bearing with a compass direction.

Comments on these exercises

Exercises 1, 2, 3, 4
Asks students to use mental strategies to solve addition problems that add to 90, 180, 360.
 
Exercise 5
Asks students to list the factors of 90, 180 and 360. 
  
Exercises 6, 7, 8
Asks students to balance equations by filling in a box with a number.  Sides of the equations sum to 90, 180 or 360.  
 
Exercise 9
Asks students to find the missing multiple htat multiples to 90, 180, 270 or 360, e.g.  3 x  = 360.
 
Exercise 10
Asks students to fold paper to make angles and check with a protractor.
 
Exercise 11
Asks students to match bearings with compass directions.
 
Exercise 11
This exercise is for fun and involves the phonetic alphabet and morse codes.
 

 

 
Related Resources: 

These exercises and activities follow from teaching episodes based on Numeracy Books 5, 6 and 7. Extra teaching episode is described with the exercise notes below.

Investigation Write Up

AttachmentSize
NumberInGeometrySheet.pdf188.39 KB
NumberInGeometrySheet.doc125.5 KB

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