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EngageNY
Word Problems
Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...
Illustrative Mathematics
Two Interpretations of Division
Division can be seen in two ways; as splitting a whole into a certain number of pieces, or splitting it into pieces of a certain size. Help your class reach this understanding with these two simple word problems. Encourage the use of...
Illustrative Mathematics
Plastic Building Blocks
Let's build a castle! Dennis and Cody have big plans, but do they have enough blocks between the two of them to accomplish their goal? A great context that requires students to add and compare mixed numbers. Encourage the use of pictures...
Curated OER
Analyzing Word Problems Involving Multiplication
Learners sometimes have difficulty making sense of a word problem. In a guided learning activity, pupils are asked to think about how to find an answer and explain their thinking, rather than finding the answer. It allows them to...
Illustrative Mathematics
Maria’s Marbles
Ali has more marbles than Maria in some of these word problems, while in others Maria has more marbles than Ali. First graders are tasked to read each word problem and solve how many marbles each girl has.
EngageNY
Solving Problems by Finding Equivalent Ratios
Combine total quantities and equivalent ratios in problem solving. The fifth lesson in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or differences of the...
Curated OER
The Class Trip
Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Target A
Only in math problems do people buy 18 cans of tennis balls and no one wonders why. Scholars solve for the number of total tennis balls given the ratio of balls per can. This and other ratio word problems in a PowerPoint from Grade 6...
Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
Mathed Up!
Functional Maths Questions
Dang, it's a word problem! Pupils address a variety of word problems that involve knowledge of proportions and geometric topics. The General Certificate of Secondary Education review problems require determining costs based on area...
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
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day instructional activity introduces the class to the point-slope form, which can be used for problems when the initial conditions are not...
Illustrative Mathematics
Sharing Markers
Let your first graders translate these word problems into subtraction sentences. Some of the equations involve finding the answer after Char gives some of her markers away, while others require finding the amount of markers Char started...
EngageNY
Problem Solving Using Rates, Unit Rates, and Conversions
Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...
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...
Illustrative Mathematics
How Many Marbles?
Don't lose your marbles! This simple story problem helps make teaching division with fractions much easier. Work on this problem along with the lesson plan titled, How Many Servings of Oatmeal? to highlight the difference...
California Education Partners
Theater Field Trip
Here's an assessment task that's better than watching a show. Young mathematicians solve word problems involving multiplication and division with equal groups. They must find the total number of attendees on a trip to a theater based on...
Illustrative Mathematics
What is 23 ÷ 5?
Twenty-three divided by five can have a different value depending on the unit of measurement being asked. Learners problem solve 23 divided by 5 in a series of five word problems.
EngageNY
Two-Step Problems—All Operations
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...
Illustrative Mathematics
Three Composing/Decomposing Problems
Practice composing and decomposing numbers in base-ten using three word problems. Each problem presents a different scenario requiring learners to explain their thinking, find the number of ones, and find out different ways to make a...
EngageNY
Markup and Markdown Problems
There is a 100 percent chance this resource will help pupils connect percents to financial literacy. Young mathematicians use their knowledge of percents to find markups and markdowns in financial situations in the seventh segment in a...
EngageNY
Problem Solving When the Percent Changes
Use more than one whole to solve percent problems. The ninth installment in a 20-part series has pupils work percent problems in which they must determine two wholes. Individuals use double number lines to represent and solve the...
EngageNY
Population Problems
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups...
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