Multiplying Fractions by Whole Numbers
Grade 4 Mathematics Learning to multiply whole numbers and fractions
I Can Statements
I can explain how multiplying a whole number by a unit fraction yields a fraction I can model the multiplication of a whole number by a fraction using visual area models I can solve word problems involving fraction multiplication I can use math language to explain my thinking
Let's Review: What Are Fractions?
A fraction shows parts of a whole The top number is the numerator The bottom number is the denominator 1/3 means 1 part out of 3 equal parts
Understanding 4 × 1/3
4 × 1/3 means 'four groups of one-third' We can draw this with area models Each rectangle shows 1/3 Four rectangles with 1/3 shaded = 4/3
Two Ways to Think About It
{"left":"Area Models: Draw rectangles and shade parts\nRepeated Addition: Add the fraction multiple times","right":"4 × 1/3 = four rectangles with 1/3 shaded\n4 × 1/3 = 1/3 + 1/3 + 1/3 + 1/3 = 4/3"}
Your Turn: Practice Time!
Try drawing area models for: 3 × 1/4 5 × 1/6 Work with a partner Share your thinking!
Real-World Problem
Maria drinks 2/5 of a bottle of water each day for 3 days. How much water does she drink in total? Draw a model to show your thinking! Explain your answer to a classmate.
Success Criteria & Next Steps
I can draw area models for fraction multiplication I can solve word problems with fractions and whole numbers I can explain my thinking using math vocabulary Tomorrow: More practice with different types of fractions!