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...
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,...
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 a...
EngageNY
Rational Numbers on the Number Line
Individuals learn how to plot rational numbers on the number line in the sixth lesson 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 lesson 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.
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 lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on a...
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 lesson takes away some of the previous scaffolding to encourage scholars to use the procedures that...
Curated OER
The True Value of Sweets
Measure your pupil's learning in a lesson 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 their...
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 plan that begins with a mixed review, then goes into a three problem guided practice, and ends with a collaborative activity. The guided practice and...
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 instructional activity in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends...
Curated OER
Comparing and Ordering Fractions, Mixed Numbers, and Decimals
Create your own fraction kits by folding and labeling paper using fraction vocabulary. Learners then work in groups to use these in comparing and sequencing both whole numbers and fractions. They also create unit cubes and develop an...
Ohio Department of Education
Fraction and Decimal Equivalency
Mathematicians make representations of fractional parts of a whole and learn that a decimal is another way to represent a fractional part. Understanding is extended by comparing and ordering fractions and decimals on a number line. This...
Fraction Bars
Subtraction of Decimals
Here is a fabulous lesson on subtracting decimals with different numbers of decimal places. There are teacher-led activities for learners to engage in, including, modeling decimal subtraction through decimal squares, looking at place...
Virginia Department of Education
Powers of Ten
Investigate negative exponents of-ten. Pupils use the pattern of increasing powers of 10 to determine negative powers of 10. The scholars write the powers in expanded and product forms and make the connection to exponents using a...
Curated OER
Smaller Than One
Sixth graders practice converting a fraction into a decimal and a percent. They explain relationships among rational numbers. They order and compare whole numbers, fractions (including mixed numbers), and decimals using a variety of...
National Research Center for Career and Technical Education
Finance: Depreciation (Double Declining)
Of particular interest to a group of business and finance pupils, this activity explores depreciation of automobile values by comparing the double declining balance to the straight line method. Mostly this is done through a slide...
EngageNY
Rational and Irrational Numbers
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...