Illustrative Mathematics
Illustrative Mathematics: Painting a Wall
The purpose of this task is for students to find the answer to a question in context that can be represented by fraction multiplication. This task is appropriate for either instruction or assessment depending on how it is used and where...
Illustrative Mathematics
Illustrative Mathematics: 3.oa Finding the Unknown in a Division Equation
This task shows an equation that elicits key misconceptions around equations and division. Aligns with 3.OA.A.4 and CCSS.Math.Content.3.OA.A.4 Determine the unknown whole number in a multiplication or division
Illustrative Mathematics
Illustrative Mathematics: 5.nbt Elmer's Multiplication Error
Fifth graders are presented with the calculations for a multiplication problem and are asked to explain why the answer is incorrect. They must use estimation, identify the error, show the correct arithmetic, and find the answer another...
Illustrative Mathematics
Illustrative Mathematics: 6.ns Multiplication, Division and Place Value, Part 1
Sixth graders are presented with a completed multiplication equation and are asked to use it to find the answers to seven other equations. To do this, they must use their reasoning and estimation skills. Aligns with 6.NS.B.3.
Illustrative Mathematics
Illustrative Mathematics: 7.ns Equivalent Fractions and Non Repeating Decimals
For this lesson, 7th graders determne how to find the repeating decimal using multiplication.
Illustrative Mathematics
Illustrative Mathematics: Making Cookies
This tasks lends itself very well to multiple solution methods. Students may learn a lot by comparing different methods. Students who are already comfortable with fraction multiplication can go straight to the numeric solutions given...
Illustrative Mathematics
Illustrative Mathematics: Using Operations and Parentheses
The purpose of this task is to give students a chance to work creatively with three of the four fundamental arithmetic operations (addition, subtraction, and multiplication). It is well suited for helping students develop fluency with...
Illustrative Mathematics
Illustrative Mathematics: N cn.a and N cn.a.1: Complex Number Patterns
This task serves as a possible first student exploration after an initial introduction to the form and arithmetic of complex multiplication. Students need to understand that every complex number can be expressed in the form a+bi, and...
Illustrative Mathematics
Illustrative Mathematics: 3.oa the Stamp Collection
This task uses language, half of the stamps, that learners associate with multiplication by the fraction 1/2. Students will understand half of 120 to mean the number obtained by dividing 120 by 2. For learners who are unfamiliar with...
Illustrative Mathematics
Illustrative Mathematics: Running to School
This is the easiest problem in a series of three tasks involving fraction multiplication that can be solved with pictures or number lines. Aligns with 5.NF.B.6.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Interpreting a Division Computation
Sixth graders are shown the arithmetic for a multi-digit division problem and are asked to use it to find the products of related multiplication questions. Aligns with 6.NS.B.2.
Better Lesson
Better Lesson: Area and Perimeter Review Using Legos
Lesson plan in which students calculate area, build areas to a given amount, and calculate the perimeter with the use of Legos. Step by step instructions and videos are provided. CCSS.Math.Content.3.MD.C.7.c Use area models to represent...
Illustrative Mathematics
Illustrative Mathematics: Reasoning About Multiplication
This is a good task to work with kids to try to explain their thinking clearly and precisely, although teachers should be willing to work with many different ways of explaining the relationship between the magnitude of the factors and...
Illustrative Mathematics
Illustrative Mathematics: To Multiply or Not to Multiply?
Many real world problems appear similar. Even when children might know what operation to choose when the problem only involves whole numbers, they often are confused with fractions. It is also important for young scholars to know that...
Illustrative Mathematics
Illustrative Mathematics: 5.md,oa You Can Multiply Three Numbers in Any Order
The purpose of this task is for students to use the volume of a rectangular prism to see why you can multiply three numbers in any order you want and still get the same result. Aligns with 5.OA.A and 5.MD.C.5.
Illustrative Mathematics
Illustrative Mathematics: Calculator Trouble
Even though students can solve this problem by multiplying, it is unlikely they will. Here it is much easier to answer the question if you can think of multiplying a number by a factor as scaling the number. Aligns with 5.NF.B.5.
Illustrative Mathematics
Illustrative Mathematics: 5.nf Fundraising
This task asks students to multiply rational numbers. Aligns with 5.NF.B.5.
Illustrative Mathematics
Illustrative Mathematics: 5.nf Grass Seedlings
For the sake of this commentary, let R be the height of Rual's seedlings (of course students do not need to use a letter to represent any number in this task). Student must compare the size of each of two products (112xR, and 34xR) to...
Illustrative Mathematics
Illustrative Mathematics: Picturing Factors in Different Orders
The purpose of this task is to help students picture the multiplicative structure of the number 30 in different ways. Some of this structure is easier to communicate using grouping symbols, as it is easier to interpret...
Illustrative Mathematics
Illustrative Mathematics: 6.ee Distance to School
This task asks students to find equivalent expressions by visualizing a familiar activity involving distance. The given solution shows some possible equivalent expressions, but there are many variations possible. Aligns with 6.EE.A.2.
Alabama Learning Exchange
Alex: Napier's Bones a Useful Calculation Tool
This lesson deals with John Napier's historical contributions to the field of mathematics. Focus is given to Napier's Bones or Rods. Students will create a set or will use an online interactive set to perform calculations involving...
Oswego City School District
Regents Exam Prep Center: Order of Operations and Evaluating Expressions
Please excuse my dear Aunt Sally. This sentence takes on greater meaning when students realize it will assist them in remembering the all-important order of mathematical operations. A lesson plan, several interactive practice pages, and...
Illustrative Mathematics
Illustrative Mathematics: 6.ns Multiplication, Division and Place Value, Part 2
Sixth graders are asked to examine equations involving decimal numbers and to place the decimal point in the answers so that the equations are accurate, and to explain their reasoning. Aligns with 6.NS.B.3.
Illustrative Mathematics
Illustrative Mathematics: 7.ee Shrinking
Seventh graders determine the decrease in height over a period of time with this real life lesson.