Illustrative Mathematics
Listing Fractions in Increasing Size
Increase the depth of your class's fractional number sense with this number-ordering activity. Given four fractions, each with different numerators and denominators, young learners are asked to place them in order from smallest to...
EngageNY
Find Solutions to Make Equations True
The truth is always best. Individuals continue to find values that make equations true in the 26th installment of the 36-part module. The only difference is that they now call them solutions to those equations.
Virginia Department of Education
Balancing Act
How many different interpretations of the mean are there? Scholars place numbers on a number line and determine the mean. They interpret the mean as the average value and as the balance point.
EngageNY
Summarizing a Distribution Using a Box Plot
Place the data in a box. Pupils experiment with placing dividers within a data set and discover a need for a systematic method to group the data. The 14th lesson in a series of 22 outlines the procedure for making a box plot based upon...
EngageNY
Writing and Evaluating Expressions—Multiplication and Addition
How many people can sit around a table? The 22nd part in a series of 36 continues the work on writing and evaluating expressions to include expressions with two operations. Pupils use models to determine an expression for the number of...
Illustrative Mathematics
Adding Tenths and Hundredths
Learning to add fractions with different denominators presents a big hurdle for many young mathematicians. Simplify the process for learners with this series of practice problems involving the friendly fractions tenths and hundredths....
Curated OER
Equivalent Fraction Paper Strips
Young learners compare the relative values of fractions by making physical representations. They fold and label strips of paper that are equal in length to represent "one whole" and the equal parts that fractions represent. Also, they...
EngageNY
Divisibility Tests for 3 and 9
Who knew the sum of a number's digits gives such interesting information? The 18th installment of a 21-part module has scholars investigate division by three and nine. After looking at several examples, they develop divisibility tests...
EngageNY
From Ratios to Rates
Rate ratios with unit rates and rate units. Pupils take ratios and determine their associated rates and unit rates. The scholars identify the different aspects of rates, the unit rate, and the rate unit. The lesson plan is the 16th in a...
Utah Education Network (UEN)
The Distributive Property For Numerical and Variable Expressions
Collaborate to research and share. Doesn't that sound great? Learners explore algebraic expressions, use Algeblocks to examine and compare numerical and variable expressions, and apply the distributive property. Examples and worksheets...
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...
Bob Prior
The Order of Operations
Your learners use many different number representations like positive and negative integers, exponents, radicals, and combinations of operations as they learn and strengthen their use of the order of operations. Thoughtfully organized to...
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...
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios found...
EngageNY
The Distributive Property and the Products of Decimals
Make multiplication of decimals easier by applying the distributive property. Pupils investigate how they can use the distributive property to multiply decimals. After learning the strategy, they work on some practice problems at...
EngageNY
Sums and Differences of Decimals
Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to decimals....
MEP: Demonstration Project
Unit 5 Probability Activities
Wow! Here is a 14-page package of activities to use when your math class is studying probability. There are a myriad of pertinent experiments for learners to try, such as rolling a self-constructed multi-faced three-dimensional...
National Security Agency
Borrowing from Our Neighbors
Young mathematicians explore two-digit subtraction. They will investigate multiple ways to subtract numbers involving regrouping. Resources are provided.
Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
EngageNY
Problems in Mathematical Terms
Whether scholars understand independent and dependent variables depends on you. The 32nd installment of a 36-part series has learners analyze relationships in real-world problems through tables. They determine independent and dependent...
Alabama Learning Exchange
Miss Integer Finds Her Properties in Order
Access prior knowledge to practice concepts like order of operations and exponents. Your class can play this game as a daily review or as a warm-up activity when needed. They work in groups of four to complete and correct review problems.
Alabama Learning Exchange
Estimation Station: Why Estimating is Better than Guessing
Youngsters discover the difference between estimating and guessing. They estimate how many items are contained in a jar as they read a story. After the story, pupils discover the differences between estimating and guessing and create a...
Primary Junction
Adding Tens
Build on your learners' confidence in quick addition as they discover strategies to add tens to two-digit numbers. After reviewing counting by 10's, they discuss tactics to add multiples of 10 to other numbers. They visualize how to...
Curated OER
Interesting Integers and Exciting Equations
An 80-page resource provides four lessons and all associated worksheets to teach middle schoolers about expressions and equations. The lessons are hands-on, using games, "integer chips," a balance and cubes, and cut and paste activities....
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