EngageNY
Fraction Multiplication and the Products of Decimals
Class members come up with a hypothesis on the number of decimal digits in the product of two decimals. Learners work in groups to complete several decimal multiplication problems. The results help groups develop a conjecture on the...
Virginia Department of Education 
Exploring Statistics
Collect and analyze data to find out something interesting about classmates. Groups devise a statistical question and collect data from their group members. Individuals then create a display of their data and calculate descriptive...
Virginia Department of Education 
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
Virginia Department of Education 
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
EngageNY
The Difference Between Theoretical Probabilities and Estimated Probabilities
Flip a coin to determine whether the probability of heads is one-half. Pupils use simulated data to find the experimental probability of flipping a coin. Participants compare the long run relative frequency with the known theoretical...
EngageNY
Comparing Estimated Probabilities to Probabilities Predicted by a Model
Small groups devise a plan to find the bag that contains the larger percentage of blue chips. they then institute their plans and compare results to the actual quantities in the bags. 
EngageNY
Random Sampling
Sample pennies to gain an understanding of their ages. The 16th installment of a 25-part series requires groups to collect samples from a jar of pennies. Pupils compare the distribution of their samples with the distribution of the...
Virginia Department of Education 
Exponents and Radicals
What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.
Virginia Department of Education 
Angles in Polygons
Polygons — it's all about the angles. Groups work with dynamic geometry software to find the sum of the measures of the angles of various polygons. After finding the information for several polygons, the groups generate a formula that...
EngageNY
Real-World Positive and Negative Numbers and Zero II
Continuing from the previous lesson in the series, scholars learn to use positive and negative integers to describe real-world situations. In groups, they come up with their own situations for given positive and negative integers. 
K5 Learning
Mixed Practice Word Problems #6
Nine questions make up a mixed practice instructional activity. The word problems require scholars to show what they know about money, addition, subtraction, multiplication, and division using numbers up to 5,300.
EngageNY
Solving Problems by Finding Equivalent Ratios II
Changing ratios make for interesting problems. Pupils solve problems that involve ratios between two quantities that change. Groups use tape diagrams to represent and solve classroom exercises and share their solutions. 
EngageNY
Solving Percent Problems
Don't discount how much your pupils understand percents! The 27th lesson in a series of 29 presents a problem to find the cost of a discounted outfit. Small groups determine either the original price or the discount received given the...
Virginia Department of Education 
Integers: Addition and Subtraction
Young mathematicians construct their own understanding of integers with an inquiry-based math activity. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...
K5 Learning
Mixed Practice Word Problems #5
Six word problems make up this mixed practice worksheet. Pupils work with money, adding, subtracting, multiplying, and dividing using numbers up to 250. 
K5 Learning
Mixed Practice Word Problems #8
Six questions make up a mixed practice activity. Scholars use their knowledge of addition, subtraction, multiplication, money, perimeter, ounces, and pounds to solve word problems with numbers up to 66,000.
Curated OER
Word Problems of Equal Share and Equal Groups
Explore this engaging approach to division problem solving with young scholars. They construct story problems after drawing 3 cards that give them a type of object, how many they have of that object, and the number of groups the object...
Curated OER
Math Games for Upper Elementary Students
Keeping skills sharp doesn't have to be a chore. It can be done with math games.
Noyce Foundation
Fair Game?
The game should be fair at all costs. The mini-assessment revolves around the ability to use probabilities to determine whether a game is fair. Individuals determine compound events to calculate simple probabilities and make...
Illustrative Mathematics
Making a Clock
Have a fun time teaching children to read analog clocks with this whole-group math activity. Using large sets of the numerals 1-12 and 0, 5, 10...55, the teacher creates a large clock on either the carpet or the white board, explaining...
CCSS Math Activities 
Smarter Balanced Sample Items: High School Math – Target O
Trigger an increased understanding of trigonometry. Young mathematicians answer a set of questions that require finding trigonometric ratios using similarity and solving real-world problems involving trigonometry. The questions all come...
CCSS Math Activities 
Smarter Balanced Sample Items: High School Math – Target E
Pupils rewrite expressions in equivalent forms to identify key features. They use the vertex and factored forms of quadratic expressions to identify the extrema and intercepts. To finish the installment of the Claim 1 Item Slide Show...
CCSS Math Activities 
Smarter Balanced Sample Items: High School Math – Target J
Good graphs make solving systems simpler. Pupils answer 18 questions shown in a PowerPoint presentation as part of the Claim 1 Item Slide Show series. By considering these questions, they review the concepts of graphing equations and...
CCSS Math Activities 
Smarter Balanced Sample Items: 7th Grade Math – Target A
How do you know if your pupils have a deep understanding of proportional relationships? Assessment is key! A helpful series starts with questions on proportional relationships modeled after the Smarter Balanced Assessment items....
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