Adding and subtracting fracts presentation (editable) - AC Year 7 Maths - NumAlg

This product is compliant with Australian Curriculum version 8.4 and version 9.

Description

This presentation helps students extend fluency with adding and subtracting fractions to fractions with different, unrelated denominators. This is suitable for the teaching and learning of Australian Curriculum Year 7 Mathematics (Number and Algebra) (v8.4/v9).

Buying this presentation will save you around 3 hours of time creating it.

This is the editable version, allowing you to change and modify the task as you like it. Please respect my copyright by not distributing or selling modified versions of this document.

Sequencing

Before this task: students must have sound understanding of all fraction types and quantities, fluency with finding equivalent fractions, simplifying fractions, and converting between mixed and improper fractions, and foundational skills with adding and subtracting fractions with the same denominator.

After this task: students can progress to multiplication and division of fractions.

The next step is working with negative fractions, then problem solving with all real numbers, possibly involving the interconversion between fraction, decimal, and percentage.

Timing

This task will take approximately 60 minutes to present for whole-class instruction, or 40-80 minutes for independent student learning in a flipped classroom.

Answers

Answers are not provided in this product. Please check back later for a link.

Learning Intention

Add and subtract any types of fractions.

Success Criteria

You interpreted the size of fractions.

You understood and explained the role of numerator, vinculum, and denominator.

You drew and modelled different fractions.

You identified and found equivalent fractions.

You simplified fractions using the HCF method.

You found the LCM of two numbers.

You added and subtracted fractions with the same, related, or different denominators.

You converted between improper and mixed fractions.

Australian Curriculum v8.4 references

Number and Algebra

Compare and order common unit fractions and locate and represent them on a number line (ACMNA102), Compare fractions with related denominators and locate and represent them on a number line (ACMNA125), Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line (ACMNA152), Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103), Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126), Solve problems involving addition and subtraction of fractions, including those with unrelated denominators (ACMNA153)

Australian Curriculum v9 references

Number

Apply knowledge of factors and multiples to compare and order fractions with the same and related denominators (including numbers greater than one) and represent them on number lines explaining any equivalences and the order (AC9M5N04), Determine equivalent fraction, decimal and percentage representations of rational numbers. Locate and represent positive and negative fractions, decimals and mixed numbers on a number line (AC9M7N05), Solve problems involving addition and subtraction of fractions with the same denominator, investigating different strategies, including using different representations (AC9M5N06), Solve problems involving addition and subtraction of fractions with the related denominators using knowledge of equivalent fractions (AC9M6N06), Carry out the four operations with fractions and decimals and solve problems involving rational numbers and percentages, choosing representations that are suited to the context and enable efficient computational strategies (AC9M7N06)