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Illustrative Mathematics

Equivalent fractions approach to non-repeating decimals

For Teachers 6th - 8th Standards
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
Lesson Plan
EngageNY

Finite and Infinite Decimals

For Students 8th Standards
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
Worksheet
Mathematics Assessment Project

Division

For Students 6th - 8th Standards
When you divide two integers you can get a decimal form of a rational number that repeats. How do you interpret that number in real-world situations? Her is an example question: What does 2.6666666666 mean in terms of an amount of...
Lesson Plan
EngageNY

The Long Division Algorithm

For Students 8th Standards
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
Lesson Plan
Illustrative Mathematics

Half of a Recipe

For Teachers 4th - 6th Standards
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....
Activity
Curated OER

The Value of Education

For Teachers 5th Standards
The real value of education is highlighted in more than one way on a worksheet designed to not only add, subtract, multiply, and divide decimals to hundredths, but also to address the correlation between higher pay...
Lesson Plan
Curated OER

Multiplying Decimals and Mixed Numbers

For Teachers 6th - 8th
Students multiply decimals and/or mixed numbers. They explore the effects of multiplying decimals and mixed numbers. They practice estimating answers when a number is multiplied by a decimal or mixed number.
Lesson Plan
EngageNY

Decimal Expansions of Fractions, Part 2

For Students 8th Standards
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
Lesson Plan
Curated OER

Fantastic Fraction Fudge

For Teachers 4th - 6th
In order to create some tasty fudge, learners must adapt a recipe. Using a recipe for fudge, ingredients must be correctly converted using fractions. If one fraction is incorrect, the fudge will reveal it! Although you will only make one...
Lesson Plan
Curated OER

Probability using M & M's

For Teachers 5th - 8th
Using M & M's candies, young statisticians predict the color distribution in a packet of candies and test their predictions against their group and the larger class. A review of converting between fractions, decimals, and percents...
Lesson Plan
Education Development Center

Geography of the Number Line

For Teachers 5th - 8th Standards
It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and...
Lesson Plan
Curated OER

How Fast Is Fast?

For Teachers 7th - 10th
Students make sensible estimates and check the reasonableness of the answers. Students write and solve problems involving decimal multiplication and division. Students perform calculations with time.
Lesson Plan
Curated OER

Penny

For Teachers 4th - 6th
Students explore the concept of equivalency. In this equivalents lesson, students use pennies to show equivalency as they divide them into groups. Students also convert the pencils into decimals and fractions.
Lesson Plan
Curated OER

Fractions, Decimal, Percent Relationships.

For Teachers 9th - 11th
Learners solve problems involving fractions, decimals and percents. In this algebra lesson, students examine the relationship between fractions and percents and between decimals and percents. They convert between percents, decimals and...
Lesson Plan
Curated OER

Shots, Standings, and Shopping

For Teachers 6th - 8th
Rates and ratios can easily be applied to real-world situations. Learners explore a series of websites in order to procure comparable data. They define ratios and rates, view videos, and use the internet to explore how ratios and rates...
Lesson Plan
Curated OER

Skittles Lab

For Teachers 4th - 6th
Learners use Skittles as manipulatives to practice computing decimals from fractions, computing decimals into percentages, and creating bar graphs from gathered data.
Lesson Plan
Curated OER

Solve algebraic proportions.

For Teachers 8th - 10th
Students solve algebraic proportions. In this algebra lesson, students convert between fractions, percents and decimals. They solve problems using the distributive property.
Lesson Plan
Alabama Learning Exchange

Watch That Plant Grow

For Teachers 6th - 8th
Middle schoolers examine the growth of marigolds in a greenhouse environment. They chart data in spreadsheets showing plant growth over time and under a number of conditions. They record measures of plant height and greenhouse temperature.
Lesson Plan
Curated OER

The "Heart" of the Problem

For Teachers 7th - 9th
Students explore mathematical operations while studying nutrition. For this physical fitness lesson, students explore calories, pulse rate, and the circulatory system. Students use mathematical data to create a healthy physical fitness...
Lesson Plan
Curated OER

The "Heart" of the Problem

For Teachers 7th - 9th
Young scholars create an exercise and nutrition program. In this interdisciplinary lesson, students use calculations of exercises plus their corresponding effects on the body and nutritional values of food to derive a health plan. Young...
Lesson Plan
Curated OER

Literal Equations

For Teachers 9th - 12th
Young scholars explore Literal Equations. In this literal equations lesson, students use the Internet to connect to links and solve linear equations. Young scholars investigate, analyze and record their findings on various activity...
Lesson Plan
Curated OER

Density Derby

For Teachers 8th - 10th
Students explore the relationship between mass, volume and density. They use model boats to discover how changing mass and volume affect density. This is a very engaging lesson which provides great demonstrations and hands-on activities.
Lesson Plan
Curated OER

Barge Building: What Floats Your Boat?

For Teachers 4th - 8th
Students construct aluminum foil boats that float while holding the greatest number of pennies. They investigate the concept of water displacement, record their results, and watch a Bill Nye video on buoyancy.
Lesson Plan
Curated OER

The Great Cookie Company

For Teachers 4th
Fourth graders implement real life application of money, problem solving, economics, and consumer awareness.  In this three week economics unit, 4th graders operate a business, write checks, balance accounts, and market their...

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