Estimates help us predict the reasonableness of an answer. Having students make an estimate before they perform the calculation, and even writing the estimate next to the problem, can help them to focus on making the numbers (and the problem) make sense. Example: 3.2 x 9.8 = Students use benchmarks to determine that 3.2 is close to 3 and 9.8 is close to 10, therefore, a reasonable estimate would be 3 x 10 = 30. If students perform the actual…
Here’s a super simple activity that helps students to “see” multiplication facts. It’s also a great way for them to see the connection between addition and subtraction as they “use addition to find the total number of objects arranged in rectangular arrays” (CCSSM 2.OA.C.4) and to “interpret products of whole numbers” (CCSSM 3.OA.A.1). Using inch graph paper, have students make rectangular arrays and record the rows (horizontal) and columns (vertical) as multiplication equations. This is a good time to discuss…
Mathematical properties are actually quite useful when it comes to making sense of math. For example, the commutative property of addition helps make adding numbers a little easier. If we know that the order the numbers are added does not matter, then in the problem 2 + 9, adding the 2 onto the 9 is easier and more efficient than adding the 9 onto the 2. The Common Core State Standards in Mathematics requires all third grade students to know…
Cookies in math class? Absolutely! This fun and engaging hands-on activity will get your students excited about doing math. Students will be designing their perfect cookie within the limits of a budget. They will be filling out order forms for cookies, candy and frosting then designing and drawing their final product. This fun activity seamlessly ties in important concepts in math, specifically, addition, subtraction, multiplication and division with money, and attributes of geometric shapes. This lesson is divided into grades…
Making sense of and understanding mathematics is the foundation of the new Common Core State Standards in Mathematics. It is not enough that kids can compute with numbers – they must understand why those computations work. Enter Number Theory, the part of math that explores numbers and how they relate to each other. At the heart of Number Theory are the properties of number. One of the first ones students will encounter is the Commutative Property of Addition. It states…