Units of Work

Getting partial: Multiplying decimals

This unit requires students to apply their number sense about the size of decimals to estimate and calculate the product of decimal fractions. In doing so they generalise about the effect of multiplying and dividing by ten and one hundred.

Achievement Objectives

NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.

Level Four
Number and Algebra
Units of Work

Getting partial: Fractions of sets

Achievement Objectives

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

NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.

Level Four
Number and Algebra
Units of Work

Getting partial to percentages

This units supports students to recognise percentages as a type of fraction and to carry out simple calculations involving percentages.

Achievement Objectives

NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.

NA4-5: Know the equivalent decimal and percentage forms for everyday fractions.

Level Four
Number and Algebra
Units of Work

Getting partial to decimals

This unit supports students to understand the place value structure of decimals and to carry out addition and subtraction with decimal numbers to three places.

Achievement Objectives

NA4-2: Understand addition and subtraction of fractions, decimals, and integers.

NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.

Level Four
Number and Algebra
Units of Work

Getting partial to fractions

In this unit students use a length model to partition units of one into smaller equal parts, to create unit fractions. Students form non-unit fractions (e.g. 3/4 and 7/8) and develop strategies to find different names for the same fraction (equivalent fractions). Fractions are added and compared to find difference and a fraction of a length is determined. Finally, a length model is used to find a fraction of a whole number amount.

Achievement Objectives

NA4-2: Understand addition and subtraction of fractions, decimals, and integers.

NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.

Level Four
Number and Algebra
Units of Work

Dare to compare

This unit encourages students to compare quantities both additively and multiplicatively.

Achievement Objectives

NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.

Level Three
Number and Algebra
Units of Work

Eggs and a little bacon

This unit explores situations that involve multiplication and division using an equal sets model. Students learn to apply the properties of whole numbers under multiplication, to derive new answers from basic facts, and apply inverse operations to division.

Achievement Objectives

NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.

NA3-2: Know basic multiplication and division facts.

Level Three
Number and Algebra
Number and Algebra
Units of Work

In this unit procedural fluency and conceptual understanding are developed together. Students will be representing quadratic relationships, particularly using graphs and equations. Quadratic functions are used to model phenomena such as paths of projectiles, stopping distances and profits to illustrate how mathematical modelling is used to make informed decisions in the real world.

Achievement Objectives

NA5-7: Form and solve linear and simple quadratic equations.

NA5-9: Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.

Level Five
Number and Algebra
Number and Algebra
Units of Work

This unit provides you with a range of opportunities to assess the entry level of achievement of your students.

Achievement Objectives

NA1-1: Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions.

NA1-2: Know the forward and backward counting sequences of whole numbers to 100.

NA1-3: Know groupings with five, within ten, and with ten.

NA1-6: Create and continue sequential patterns.

GM1-1: Order and compare objects or events by length, area, volume and capacity, weight (mass), turn (angle), temperature, and time by direct comparison and/or counting whole numbers of units.

GM1-3: Give and follow instructions for movement that involve distances, directions, and half or quarter turns.

S1-1: Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and counting, and displaying category data; discussing the results.

Level One
Number and Algebra
Number and Algebra
Number and Algebra
Geometry and Measurement
Geometry and Measurement
Units of Work

Mathematical magic

This unit provides you with a range of opportunities to assess the entry level of achievement of your students.

Achievement Objectives

NA2-4: Know how many ones, tens, and hundreds are in whole numbers to at least 1000.

NA2-2: Know forward and backward counting sequences with whole numbers to at least 1000.

NA2-1: Use simple additive strategies with whole numbers and fractions.

NA2-7: Generalise that whole numbers can be partitioned in many ways.

NA2-8: Find rules for the next member in a sequential pattern.

GM2-3: Sort objects by their spatial features, with justification.

GM2-4: Identify and describe the plane shapes found in objects.

S2-3: Investigate simple situations that involve elements of chance, recognising equal and different likelihoods and acknowledging uncertainty.

Level Two
Number and Algebra
Number and Algebra
Number and Algebra
Geometry and Measurement
Statistics
Units of Work