Objective 7.3.1: Demonstrate computational fluency with addition, subtraction, multiplication, and division of decimals and fractions. Objective 7.3.2: Solve problems involving decimals, percents, fractions, and proportions.
Additional content to be taught
Describing the method used
Determining the reasonableness of results
Using percents to solve problems, including problems involving discounts, taxes, commissions, and simple interest
Issues to consider
Yes, they are supposed to learn how to compute with rational numbers in 6th grade, but 7th graders are tested over them as well.
How do you review fractions?
Do students truly need to demonstrate computational fluency with decimals without a calculator in 7th grade?
Percents are so practical. How do you take advantage of the chance to teach a "real-life" skill that most students have already used?
Webquests
A Well-Planned Diet
You are what you eat! So are you ice cream or broccoli? You're on a mission to find out! Along the way, you'll collect and analyze data about what you eat over a period of five days. You'll take into account serving sizes, Calories, and fat grams. You'll also take on the roll of a nutritionist, researching the Food Pyramid and creating a healthy meal plan. So bring a hearty appetite and your math tool kit. This adventure will tantalize your taste buds!
Nutritional Challenge 1:
First, keep a record of all the food that you eat for five straight days, keeping a record of the amount you eat as well as the different characteristics of the foods. Nutritional Challenge 2:
Second, research the Food Pyramid and create the healthiest meal from a selection of food choices. Nutritional Challenge 3:
Third, create a presentation that includes your nutritional analysis of what you currently eat and of what you feel is a well-balanced meal.
Math Content: convert decimals to fractions, mean, median, mode, simplest form, percents
Base Ten Blocks Applet
This page is specifically for teachers and describes a complete lesson plan on how to teach base 10 place value as well as basic arithmetic operations using this online version of the base 10 blocks manipulatives. This can also be used for exploring other bases.
Fraction Shapes
This a great lesson by Cynthia Lanius that uses Pattern Blocks to explore the relationships between the part and the whole of fractions. Activities can be printed out and completed using actual Pattern Blocks or solved online with a pattern block applet.
Integer Bars (Cuisenaire Rods)
Hands-on to learn almost every math concept -- number sense, basic math skills (addition, subtraction, multiplication, and division), fractions, algebra, and more...
Fraction Bars
This lesson will allow students to learn, through the hands-on use of virtual fraction bars, the following concepts: a good understanding of fractions, equivalent fractions, ordering and comparing fractions, basic addition and subtraction of fractions, and fraction size notation.
Cool Problems
Mystery Number
A number gives you the follwing clues as to its identity.
1. I am a two-digit number.
2. I am not prime.
3. My two digits are not the same.
4. I am not a multiple of 2, 3, or 5.
What is the number?
Answer: The Daily Spark Critical Thinking, p. 39.
Hands-On
Shake ‘n Go Fractions
This lesson is designed for cooperative groups. Students will use a computer tutorial to practice computing equivalent fractions and then will apply what they have learned to adjust a recipe for a tasty snack.
Counting the Rice
Through this hand-on and role play activity the students will discover the concept of place value. Using different bases, this activity can be used through middle school.
Name That Portion
AMSTI 5th grade unit on Fractions, Decimals, and Percents. Contains lots of great games.
Table of Contents
ACOS Objective 3
Solve problems involving rational numbers.ARMT Possible Points = 8 (MC)
Sample problems from Item Specs
Prerequisites
Objective 7.3.1: Demonstrate computational fluency with addition, subtraction, multiplication, and division of decimals and fractions.
Objective 7.3.2: Solve problems involving decimals, percents, fractions, and proportions.
Additional content to be taught
Issues to consider
Webquests
A Well-Planned Diet
You are what you eat! So are you ice cream or broccoli? You're on a mission to find out! Along the way, you'll collect and analyze data about what you eat over a period of five days. You'll take into account serving sizes, Calories, and fat grams. You'll also take on the roll of a nutritionist, researching the Food Pyramid and creating a healthy meal plan. So bring a hearty appetite and your math tool kit. This adventure will tantalize your taste buds!
Nutritional Challenge 1:
First, keep a record of all the food that you eat for five straight days, keeping a record of the amount you eat as well as the different characteristics of the foods.
Nutritional Challenge 2:
Second, research the Food Pyramid and create the healthiest meal from a selection of food choices.
Nutritional Challenge 3:
Third, create a presentation that includes your nutritional analysis of what you currently eat and of what you feel is a well-balanced meal.
Math Content: convert decimals to fractions, mean, median, mode, simplest form, percents
Technology Skills: searching, presentation (web page, poster, article)
Interdisciplinary: Health (calories, fat intake, Food Pyramid, healthy eating), Language (writing paragraphs)
Links
Sixth Grade wiki page on rational numbers
Place Value Lessons
Abacus in Various Number Systems
History of the Abacus and an applet of an abacus.
Base Ten Blocks Applet
This page is specifically for teachers and describes a complete lesson plan on how to teach base 10 place value as well as basic arithmetic operations using this online version of the base 10 blocks manipulatives. This can also be used for exploring other bases.
Fraction Shapes
This a great lesson by Cynthia Lanius that uses Pattern Blocks to explore the relationships between the part and the whole of fractions. Activities can be printed out and completed using actual Pattern Blocks or solved online with a pattern block applet.
Integer Bars (Cuisenaire Rods)
Hands-on to learn almost every math concept -- number sense, basic math skills (addition, subtraction, multiplication, and division), fractions, algebra, and more...
Fraction Bars
This lesson will allow students to learn, through the hands-on use of virtual fraction bars, the following concepts: a good understanding of fractions, equivalent fractions, ordering and comparing fractions, basic addition and subtraction of fractions, and fraction size notation.
Cool Problems
Mystery NumberA number gives you the follwing clues as to its identity.
1. I am a two-digit number.
2. I am not prime.
3. My two digits are not the same.
4. I am not a multiple of 2, 3, or 5.
What is the number?
Answer: The Daily Spark Critical Thinking, p. 39.
Hands-On
Shake ‘n Go Fractions
This lesson is designed for cooperative groups. Students will use a computer tutorial to practice computing equivalent fractions and then will apply what they have learned to adjust a recipe for a tasty snack.
Counting the Rice
Through this hand-on and role play activity the students will discover the concept of place value. Using different bases, this activity can be used through middle school.
Name That Portion
AMSTI 5th grade unit on Fractions, Decimals, and Percents. Contains lots of great games.