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...
Illustrative Mathematics
Cooking with the Whole Cup
Whoops! Travis accidentally put too much butter into the recipe. Your bakers must find out how to alter the recipe to accommodate different changes by using unit rates and ratios . The activity has multiple parts and calculations with...
Curated OER
Probability using M & M's
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...
Curated OER
Ratios, Unit Rates, and Proportions
Explore the concept of ratios, unit rates, and proportions. Learners convert fractions and percents to decimals. They discuss rates and where they can be found in the real world. A hands-on experiment and numerous flash cards and...
Curated OER
Looking back from 5.2
In this math review worksheet, students complete problems with all 4 operations, comparing decimal problems, measurement, and multiplication of decimals. Students complete 6 problems.
Pennsylvania Department of Education
Fractional Parts Using an Area Model
Learners explore multiplying fractions and their relationship to parts of a whole. They draw and shade fractional parts to show parts of a whole and fractional parts of a fraction. Pupils also use an Internet site for interactive practice.
Curated OER
Activity: An Experiment with Dice
Roll the dice with this activity and teach young mathematicians about probability. Record outcomes for rolling two number cubes in order to determine what is most likely to happen. Graph the data and investigate patterns in the results,...
Curated OER
Adding Mixed Numbers with Unlike Denominators
Seventh graders practice measuring skills as they add mixed fractions. In this fractions lesson, 7th graders measure the distance from their wrist to the tip of their finger, record the measurement, and repeat this procedure with other...
Curated OER
Remarkable Ratios
In this ratios worksheet, learners examine pictures of 12 cartoon characters. Students solve 12 problems in which a ratio is written to show the number of characters with certain attributes compared to the total number.
Curated OER
Study Guide: Rational Numbers
In this rational numbers worksheet, students solve and complete 8 different problems that include applying the comparison property and density property for rational numbers. First, they replace each blank with the correct symbol to make...
Curated OER
Fractions, Equivalent Fractions and Decimals
Students relate fractions to decimals and find and compare equivalent fractions.
Curated OER
Equivalent Fractions
Seventh graders study equivalent fractions. They explore equivalent fractions in a story problem. After a discussion of strategies, 7th graders determine how to compare and simplify fractions. To reinforce the class discussion,...
Curated OER
Compare Expressions
In this expression comparison learning exercise, students solve 14 pairs of expressions to determine whether they are greater than, less than , or equal to one another. Students also respond to 2 word problems.
Curated OER
Fractions, Decimals, and Percents
Pupils connect different mathematical concepts. They create a circle graph. Students then create a question in which they collect data in order to convert fractions to decimals and decimals to percents.
Curated OER
Comparing Ratios
In this comparing ratios worksheet, students solve and complete 3 different problems using the screens shown. First, they write a ratio that compares the shaded part to unshaded part illustrated. Then, students use the same grid to...
Curated OER
Ordering and Computing with Negative Fractions and Decimals
Seventh graders explore the concept of computing negative fractions and decimals. In this negative fractions and decimals lesson plan, 7th graders compare ordering positive fractions to ordering negative fractions. Students use mirrors...
Curated OER
Mathematics Within: Algebraic Patterns
Young scholars comprehend that ratios and fractions are interchangeable. They compare ratios using common denominators, cross multiplication, and intuition. Students find equivalent fractions. They comprehend that equivalent ratios do...
Curated OER
Rational Numbers
In this rational numbers worksheet, students solve and complete 25 different problems that include identifying numerous types of rational numbers. First, they place a greater than, less than or equal to symbol between the fractions to...
Curated OER
Comparing Negative Fractions, Mixed Numbers and Decimal
Seventh graders explore the concept of negative rational numbers. In this negative rational numbers instructional activity, 7th graders discuss similarities between positive and negative rational numbers. Students predict what rational...
Curated OER
Fraction Pattern Blocks
Seventh graders practice using pattern blocks. In this pre-algebra lesson, 7th graders complete tasks that require them to compare fractions, make fractions equivalent, and add fractions.
Curated OER
Number Sense
Students play "Fraction Line Up," a game to compare fractions with unlike denominators with the use of a deck of cards. After the game, each player explains one of the strategies that was helpful to him/her during the game. In...
101 Questions
Square Partitions
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 3
Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...
Curated OER
Tumbling Cubes
Students compare fractions and decimals while playing a game and order fractions and decimals found on the number cubes to create a number line. They then play a game called the Fraction Decimal Toss.
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