Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Education Development Center
Micro-Geography of the Number Line
Young mathematicians dive into the number line to discover decimals and how the numbers infinitely get smaller in between. They click the zoom button a few times and learn that the number line doesn't just stop at integers. Includes...
Curated OER
Using a Number Line: 5th Grade Math
Working in groups, the class will use what they know about whole number operations to solve a real-world problem involving a number line. They will focus on using the number line to correctly label the placement of whole numbers,...
EngageNY
Rational Numbers on the Number Line
Individuals learn how to plot rational numbers on the number line in the sixth instructional activity of a 21-part module. They identify appropriate units and determine opposites of rational numbers.
University of Minnesota
Fraction Operations and Initial Decimal Ideas
Add another strategy to the toolboxes of young mathematicians with this elementary math activity on using number lines to add and subtract fractions.
Curated OER
Lesson 3: Number Sense
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.
Curated OER
Number Line
Explore how to make a number line and how to mark the numbers along the number line using fraction and decimal notation. Your scholars will compare and order fractions and decimals and find their appropriate position on the number line.
EngageNY
Decimal Expansions of Fractions, Part 2
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...
EngageNY
Comparing Irrational Numbers
Build on your classes' understanding of irrational numbers by comparing their values. The 13th instructional activity in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing...
Curated OER
Jumping the Number Line - Decimal Fractions (Hundredths)
Students demonstrate how to add decimal fractions (tenths and hundredths) by using the jumping the number line strategy. They complete a variety of problems on a worksheet, attempting to solve them mentally, then recording the answers on...
Curated OER
The Number Line
Eighth graders investigate the order of numbers and how they are located on the number line. They also review the symbols used to compare quantities in order to decipher simple expressions and graph them on the numberline.
Curated OER
Confusing Fractions and Decimals
Eight number lines are given, and math scholars need to place the given decimal numbers on the fraction line as accurately as possible. Each number line shows a different span of numbers. Consider having learners go through it the first...
Curated OER
Problem Solvers
Fifth and sixth graders compare decimals to the place-value structure in the base-ten number system. They represent fractions as parts of unit wholes, as parts of a set, as locations on a number line, and as divisions of whole numbers....
EngageNY
Comparing Integers and Other Rational Numbers
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
EngageNY
Grade 5 Math Module 1, Topic C, Lesson 8
Go another round on rounding. Pupils refine their learned rounding skills in the eighth installment in an 18-part unit on decimals. The instructional activity takes away some of the previous scaffolding to encourage scholars to use the...
Curated OER
The True Value of Sweets
Measure your pupil's learning in a instructional activity designed to explore decimals by weighing different candies on a scale and recording the weight. Small groups then compare and order the decimal weights on a number line to show...
EngageNY
Grade 5 Math Module 1, Topic C, Lesson 7
Step up or step down to rounding. Using a vertical number line, the instructional activity shows pupils the significance of rounding up or rounding down. Teachers encourage scholars to write the number in unit form and decide which form...
West Contra Costa Unified School District
Decimals and Fractions
Reinforce the concept of fractions and decimals as part of a whole with a lesson that begins with a mixed review, then goes into a three problem guided practice, and ends with a collaborative activity. The guided practice and activity...
Curated OER
Decimals Decide Olympic Champions
The class discovers how a decimal can make all the difference in the Olympics. As they learn about decimal place values, they compare and contrast data and demonstrate decimal values using manipulatives.
EngageNY
Infinite Decimals
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
Curated OER
Ordering Rational Numbers and Finding Their Approximate
Middle schoolers explore the concept of ordering rational numbers on a number line. They represent rational numbers as decimals and percents. Pupils create a foldable about converting fractions to decimals to percents, and use a...
Curated OER
Real Number Sense
Fifth graders put each number they receive in the appropriate order in a number line or a number circle. In this numbers lesson plan, 5th graders develop number sense and manipulate the numbers in order.
Curated OER
Integers
Using a simple technique, learners practice identifying integers on a number line. As numbers, both positive and negative, are pointed to, they name them. This could be part of anticipatory set before a instructional activity on integers.
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