Illustrative Mathematics
Many Ways to Do Addition
A great aspect of teaching math is that children have the freedom to solve problems using a variety of different strategies. The focus of this lesson is for young mathematicians to become aware of many ways of answering addition...
Curated OER
Making a Ten
An addition table supports third graders as they learn strategies to improve their math fluency. When finding sums greater than ten, students are taught how to first make a ten and then add on the rest. A similar method is also...
Illustrative Mathematics
Building toward fluency
Here is a great learning task that focuses on the development of areas in computational fluency including strategies in mental math. Young learners are guided through a list of addition expressions that help them visually understand the...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 3
Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...
Illustrative Mathematics
Boys and Girls, Variation 1
Given a certain amount of boys and certain amount of girls, how many children are there total in the class? Assess learners' ability to use addition and subtraction strategies when solving word problems.
Illustrative Mathematics
The Pet Snake
Assess how long the class pet snake grew and how long it was when it started growing with a short learning exercise. Learners use addition and subtraction strategies with measurements to answer three questions.
Illustrative Mathematics
What’s Missing?
Now you see them, now you don't! This fun peek-a-boo activity engages young mathematicians in developing their ability to compose and decompose numbers. After being presented with a series of counters, children close their eyes while the...
Illustrative Mathematics
Double Plus One
Practice doubling with a straightforward worksheet. Learners double plus one each number in the table, and then answer a series of hypothetical math equations.
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
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...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 2
Test scholars mathematic skills with an assessment addressing addition, subtraction, multiplication, place value, measurement, geometric shapes, expanded notation; and their ability to compare numbers, write number...
Mathematics Assessment Project
Cross Totals
Finally, it all adds up. Learners complete a number puzzle in which they investigate the sums of the digits one through nine in a cross pattern. They then try to determine what totals are possible and which ones are...
Illustrative Mathematics
Christina's Candies
Help Christina figure out how many chocolate and lemon candies she has with a lesson on decomposing numbers. When presenting this context to the class, the teacher chooses the total number of candies and the number that are chocolate,...
Illustrative Mathematics
Jamir's Penny Jar
Before you start counting the coins in Jamir's coin jar, figure out which coin to start with. Should it be the penny or the quarter? Why? This is the focus around a learning exercise that works well as an assessment on counting...
Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Illustrative Mathematics
Comparisons 1
A seven question worksheet asks learners to use place value strategies to decide if each number comparison is true or false.
Illustrative Mathematics
Field Day Scarcity
Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
Illustrative Mathematics
Bundling and Unbundling
Seven tens, plus five ones, equals 75. Five ones, plus seven tens, also equals 75. These are the types of equations learners are asked to make true in a worksheet with 11 unfinished equations.
California Education Partners
Window Washers
Aim high with a task on window washers. An assessment task challenges learners to determine the number of windows two people wash. They do this using a given number of window rows on each side of a building. In addition, they find the...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
Inside Mathematics
Magic Squares
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra.
Concord Consortium
Boards I
Learners create patterns in a table to mimic the function of an electronic spreadsheet. The result is a table that creates an addition table for decimals in intervals of one-tenth. While creating the pattern, pupils must thoroughly...
Illustrative Mathematics
Finding Common Denominators to Add
Finding common denominators is an important strategy when adding fractions with unlike denominators. In the first two questions in this three-question task, fifth graders are asked to combine fractions and draw a picture to show their...