Illustrative Mathematics
Fractions and Rectangles
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, students first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
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
How Many _______ Are In. . . ?
Help your learners gain meaningful understanding of dividing fractions using fraction models. The activity includes nine problems which are sequenced to show how the fraction division algorithm evolves. Have students use graph paper or...
MLC
Fractions Packet
Your fifth graders will appreciate the simple, direct explanations, examples, and practice exercises in this well-organized unit on fractions. Beginning with an introduction to fractions, the packet flows smoothly through the fraction...
Nuffield Foundation
Fractions, Decimals and Percentages
Mathematicians can embark on a math challenge. Fourteen pages of exercises for young algebra learners on fractions, decimals, and percentages let your students put their skills to the test.
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
West Contra Costa Unified School District
Simplifying Fractions Activity
Warm-up pupils' fraction muscles with a four-question quiz, then delve into a learning game designed to reinforce the concept of simplifying fractions. Based on the "I do, We do, You do" method of teaching, the lesson directly exhibits...
PBS
Add, Subtract and Multiply Fractions
Your future chefs will appreciate this comprehensive lesson where learners practice operations on fractions using pizza and soup analogies. Learners begin with a pizza analogy that requires the learners to multiply a whole number by a...
Illustrative Mathematics
Making Cookies
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
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....
Curated OER
Discovering Math Rational Number Concepts
Students research Egyptian hieroglyphics using print and Web resources. THey discuss Egyptian achievements in mathematics. Students explore how Egyptians used hieroglyphics to write numerals. They multiply and divide numbers using the...
Illustrative Mathematics
Comparing Products
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
PBS
Adding Integers
Your sixth and seventh graders deepen their understanding of a number line and adding integers in this concrete, hands-on activity. Learners play "Warehouse Puzzle" and then discuss their game strategies and the characteristics...
Laboratory for Atmospheric and Space Physics
Charting the Progress of New Horizons
In 2006, New Horizons began its mission to fly to Pluto. As it continues its journey, scholars track its progress with the help of an informative website, all the while reinforcing measurement concepts with the construction of a scaled...
Curated OER
The "Heart" of the Problem
Students explore mathematical operations while studying nutrition. In this physical fitness lesson, students explore calories, pulse rate, and the circulatory system. Students use mathematical data to create a healthy physical fitness...
Curated OER
Water Usage and Conservation
Students investigate water usage at school and at home. They use graphs and tables to evaluate water usage. Students describe possible water conservation measures. They use graphs and tables to relate data as part of a written report.
