Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 1
Help your class make sense of quantities and their relationships. Given is the product of two numbers. It is up to your number crunchers to think about the quantitative relationship when the product is one-tenth or ten times the product...
EngageNY
The Relationship of Division and Subtraction
See how division and subtraction go hand-in-hand. The fourth installment of a 36-part module has scholars investigate the relationship between subtraction and division. They learn using tape diagrams to see that they can use repeated...
Curated OER
Multiplication: Bugs Can Multiply, So Can I!
Develop multiplication skills with your class. Youngsters will visualize multiplication as repeated addition. Then they will create a multiplication bug book and discover arrays as a strategy for multiplication problem solving....
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
EngageNY
Interpreting Division of a Fraction by a Whole Number—Visual Models
Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
Illustrative Mathematics
How Many Marbles?
Don't lose your marbles! This simple story problem helps make teaching division with fractions much easier. Work on this problem along with the lesson titled, How Many Servings of Oatmeal? to highlight the difference between the two...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models II
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...
Illustrative Mathematics
Banana Pudding
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole number...
Alabama Learning Exchange
Exponents and Division
Create a human fraction to learn about division of exponents. Scholars develop the rule for division of exponents by being part of a human fraction to explore and justify the rule. They also consider zero exponents and negative exponents.
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 4
Convert with exponents. The fourth lesson in a series of 18 uses powers of 10 to convert within the metric system. Scholars use their fourth grade knowledge of conversions to write and use the conversion factors containing exponents....
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 13
After completing a fluency practice set on subtracting, multiplying, and comparing decimals, pupils begin learning about dividing decimals by whole numbers. They see how to use place value reasoning to find compatible numbers for...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 2
What are the place value patterns? An informative lesson plan helps scholars build upon their knowledge of place value to see patterns when multiplying and dividing by powers of 10. Classmates begin the second installment by reviewing...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 1
Extend the place value system. The first lesson plan in a series of 18 extends the place value system to millions through thousandths. Using place value charts, pupils see how the value of a digit changes as it moves places. Teachers use...
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
Illustrative Mathematics
Running to School, Variation 3
How far is it between school and home? Here is a relatable activity where the participant runs to school a certain fraction of the way. That distance is given in miles. It is up to your learners to determine the distance between home and...
Illustrative Mathematics
Drinking Juice, Variation 2
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
Illustrative Mathematics
Drinking Juice, Variation 3
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
K20 LEARN
How Many Days Will It Take? Eating To 6,972!: Partial Quotients
The story, How Many Jelly Beans? by Andrea Menotti introduces a lesson about partial quotients. Mathematicians practice rounding and multiplying, then work in small groups to connect those skills with division and partial quotients....
Math Solutions
Factor Game
Learning about factors and multiples is all fun and games with this simple math activity. The lesson begins with the teacher and class playing the Factor Game together as students figure out the rules and uncover key vocabulary as they...
Curated OER
Incredible Integers!
There are three parts to this instructional activity on integers. In the first, learners explore positive and negative numbers on an actual painter's tape number line and by playing a "Hot Seat" game. In part two, they view a BrainPop...
Laboratory for Atmospheric and Space Physics
Where Are We Going?
Come take a ride on the space bus! Scholars go on an imaginary trip to pick up their peers from the inner and outer planets while reinforcing math skills. First, learners round decimals to identify each planets' distance from Earth....
West Contra Costa Unified School District
The Power of Ten: Building a Magnitude Model
Add visual representation to teaching place value with a magnitude model. Using adding machine tape, pupils build a linear place value strip from 1 to 100.
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