Problem solving with fractions

Fraction FascinationStage: 2 Challenge Level: This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes. Can you untangle what fractional part is represented by each of the ten numbered shapes? If you have any mixed numbers involved, convert them to improper fractions first. Teaching Fractions with Understanding: Part-whole ConceptStage: 1, 2 and 3 Written for teachers, this article describes four basic approaches children use in understanding fractions as equal parts of a whole. Students are challenged to solve these problems by drawing pictures rather than using traditional fraction algorithms. Figure out how many times your current denominator goes into the lowest common denominator.

If you are multiplying and dividing, you must convert mixed numbers into improper fractions before you begin the rest of your calculations. Put that amount over the original denominator and you will have an improper fraction. They must then write a fraction for each color pattern block used in the design.

You can get through life without knowing how to solve problems with fractions, but what kind of life would that be? To multiply fractions, simply multiply the numerators, then multiply the denominators. Fraction MatchStage: 1 and 2 Challenge Level: A task which depends on members of the group noticing the needs of others and responding. Fraction Game simulates a Fraction War game but students must draw a representation of each fraction and explain who won, based on the drawings. Tadpoles and Frogs requires students to use fractions to figure out how many tadpoles and frogs there were in the tank. You will have to start with Step 1 and learn how to perform basic addition and subtraction, and then move on to more complex calculations. High Number Game requires that students apply their knowledge of fractions, decimals and percents to decide whose number card is highest. Click "Add to" located below the video player and follow the prompts to name your course and save your lesson.

Remember that the context of most problems can be adapted to suit your students and your current class inquiry. Animal Shelter requires students to use fractions to figure out how many cats and dogs were available for adoption at the animal shelter. A TKI account lets you personalise your experience – enabling you to save custom homepage layouts, create kete, and save bookmarks and searches. Improper fractions are those whose numerators are larger than their denominators. This provides you with practical information about how to implement problem solving in your maths programme as well as some of the philosophical ideas behind problem solving. Multiplication and DivisionThings are getting tense between you and Ginger and, after the weight loss show, you both go on a competitive dancing show. Fraction LengthsStage: 2 Challenge Level: Can you find combinations of strips of paper which equal the length of the black strip? This article extends and investigates the ideas in the problem “Stretching Fractions”.

Accompanying each lesson is a copymaster of the problem in English and in Māori. Pattern Block Fraction Design requires students to use pattern blocks to fill the shape so that it has a line of symmetry. This section of the nzmaths website has problem-solving lessons that you can use in your maths programme. To do this, we need the least common denominator, or the smallest multiple of the denominators. Share or assign lessons and chapters by clicking the "Teacher" tab on the lesson or chapter page you want to. Add important lessons to your Custom Course, track your progress, and achieve your study goals faster.

Exploring FractionsStage: 1 and 2 This article, written for primary teachers, links to rich tasks which will help develop the underlying concepts associated with fractions and offers some suggestions for models and images that help. Fraction questions can look tricky at first, but they become easier with practice and know-how.