Transcription
NYS Common Core AlignedMultiplying WithArea ModelsFourth Grade
ReviewWhat is expanded form?Write the number 1,247 in expanded formLearning TargetI can multiply two digit numbersusing an area model.
Area ModelsArea: The amount of space inside of a flat object such as a square, orrectangle. The formula for area is .A Model: An example of an idea, or a concept. A drawing can be a model.Using the definitions above, answer the following questions:1. What is an area model? (Explain)Jenna’s Flower Garden:DaisiesWhat is the area of the whole garden?What area of the garden is daisies?What area of the garden is tulips?Tulips
Area ModelsThe steps to multiplying using an area model:Step One:Step Two:Step Three:Step Four:Step Five:Example: 21 x 48
Area ModelsSolve the problems below1. 43 x 16 40 310 62. 57 x 61 3. 74 x 33
Area ModelsDraw an area model and solve.1.) 34 x 62.) 67 X 323.) 427 X 42Challenge
NYS Common Core AlignedAnswer KeyMultiplying With area ModelsFourth Grade
ReviewA way to break apart a number in order toWhat is expanded form?showhow much each digit in the number represents.Write the number 1,247 in expanded form1,000 200 40 7Learning TargetI can multiply two digit numbersusing an area model.
Area ModelsArea: The amount of space inside of a flat object such as a square, orrectangle. The formula for area is .Length x WidthA Model: An example of an idea, or a concept. A drawing can be a model.Using the definitions above, answer the following questions:1. What is an area model? (Explain)An area model is a model used to find the area of an object throughthe multiplication of two numbers.Jenna’s Flower Garden:Daisies13 x 5 65What is the area of the whole garden?10 x 5 50What area of the garden is daisies?3 x 5 15What area of the garden is tulips?Tulips
Area ModelsThe steps to multiplying using an area model:Draw an area modelStep One:Write both numbers in expanded formStep Two:Find the products of the numbers on the top layer.Step Three:Find the products of the numbers on the bottom layer.Step Four:Add together the sums from all of the equations in orderStep Five:to find the final product.Example: 21 x 48 1,008204040 x 20 800 8 140 x 1 408x1 88 x 20 160 8001604081,008
Area ModelsSolve the problems below1. 43 x 16 6884010 6 310 x 40 40010 x 3 306 x 40 2406x3 182. 57 x 61 3,477506060 x 50 3,000 11 x 50 50 760 x 7 4201x7 73. 74 x 33 2,442703030 x 70 2,100 33 x 70 210 430 x 4 1203x4 12
Area ModelsDraw an area model and solve.2041.) 34 x 6 3046x46 x 30 180 246180 24 2042.) 67 X 32 1,800 120 210 14 2,144 60730 30 x 60 1,800 30 x 7 210 2x72x60 1202 143.) 427 X 42 17,93416, 000 800 280 800 40 14 17,93440040 2Challenge 20 7400 x 40 40 x 20 16, 000 80040 x 7 2802 x 400 8002x7 142 x 20 40
Draw an area model Write both numbers in expanded form Find the products of the numbers on the top layer. Find the products of the numbers on the bottom layer. Add together the sums from all of the equations in order to find the final product. 20 1 40 8 40 x 20 800 8 x
